
Time bar (total: 8.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 50% | 0.1% | 0% | 50% | 0% | 2 |
| 0% | 0% | 50% | 0.1% | 0% | 50% | 0% | 3 |
| 50% | 25% | 25% | 0.1% | 0% | 50% | 0% | 4 |
| 50% | 25% | 25% | 0.1% | 0% | 50% | 0% | 5 |
| 66.7% | 25% | 12.5% | 0.1% | 0% | 62.4% | 0% | 6 |
| 66.7% | 25% | 12.5% | 0.1% | 0% | 62.4% | 0% | 7 |
| 80% | 25% | 6.2% | 0.1% | 0% | 68.7% | 0% | 8 |
| 80% | 25% | 6.2% | 0.1% | 0% | 68.7% | 0% | 9 |
| 88.9% | 25% | 3.1% | 0.1% | 0% | 71.8% | 0% | 10 |
| 88.9% | 25% | 3.1% | 0.1% | 0% | 71.8% | 0% | 11 |
| 94.1% | 25% | 1.6% | 0.1% | 0% | 73.4% | 0% | 12 |
Compiled 22 to 15 computations (31.8% saved)
| 1.3s | 8 256× | 0 | valid |
| 53.0ms | 549× | 0 | invalid |
ival-mult: 355.0ms (34.4% of total)ival-div: 338.0ms (32.8% of total)ival-add: 141.0ms (13.7% of total)ival-sqrt: 110.0ms (10.7% of total)ival-sub: 59.0ms (5.7% of total)exact: 15.0ms (1.5% of total)ival-true: 8.0ms (0.8% of total)ival-assert: 5.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 2 | 0 | - | 0 | - | (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | rand |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 9 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand) |
| 0 | 0 | - | 0 | - | (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))) | oflow-rescue | 2 | 0 |
| ↳ | (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))) | overflow | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 2 | 254 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 2 | 0 | 254 |
| number | freq |
|---|---|
| 0 | 254 |
| 1 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 0 | 0 |
| 53.0ms | 476× | 0 | valid |
| 3.0ms | 18× | 1 | valid |
| 3.0ms | 12× | 2 | valid |
| 3.0ms | 6× | 5 | exit |
Compiled 276 to 56 computations (79.7% saved)
ival-sqrt: 12.0ms (28.2% of total)ival-mult: 10.0ms (23.5% of total)ival-div: 8.0ms (18.8% of total)ival-sub: 7.0ms (16.4% of total)ival-add: 3.0ms (7% of total)adjust: 1.0ms (2.3% of total)exact: 1.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 88 |
| 1 | 89 | 76 |
| 2 | 264 | 74 |
| 3 | 704 | 74 |
| 4 | 1276 | 74 |
| 5 | 1552 | 74 |
| 6 | 1810 | 74 |
| 7 | 2147 | 74 |
| 8 | 2423 | 74 |
| 9 | 2533 | 74 |
| 10 | 2658 | 74 |
| 11 | 2829 | 74 |
| 12 | 3037 | 74 |
| 13 | 3093 | 74 |
| 14 | 3279 | 74 |
| 15 | 3305 | 74 |
| 16 | 3305 | 74 |
| 17 | 3551 | 74 |
| 18 | 4031 | 74 |
| 0 | 13 | 16 |
| 0 | 22 | 16 |
| 1 | 39 | 14 |
| 2 | 83 | 14 |
| 3 | 191 | 14 |
| 4 | 329 | 14 |
| 5 | 427 | 14 |
| 6 | 528 | 14 |
| 7 | 638 | 14 |
| 8 | 742 | 14 |
| 9 | 823 | 14 |
| 10 | 865 | 14 |
| 11 | 968 | 14 |
| 12 | 998 | 14 |
| 13 | 1012 | 14 |
| 14 | 1087 | 14 |
| 15 | 1183 | 14 |
| 16 | 1196 | 14 |
| 0 | 1196 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))) |
| Outputs |
|---|
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))) |
(*.f64 (+.f64 (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
Compiled 20 to 13 computations (35% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))) |
Compiled 20 to 13 computations (35% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))) | |
| cost-diff | 2 | (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 66 |
| 0 | 22 | 66 |
| 1 | 39 | 60 |
| 2 | 83 | 60 |
| 3 | 191 | 60 |
| 4 | 329 | 60 |
| 5 | 427 | 60 |
| 6 | 528 | 60 |
| 7 | 638 | 60 |
| 8 | 742 | 60 |
| 9 | 823 | 60 |
| 10 | 865 | 60 |
| 11 | 968 | 60 |
| 12 | 998 | 60 |
| 13 | 1012 | 60 |
| 14 | 1087 | 60 |
| 15 | 1183 | 60 |
| 16 | 1196 | 60 |
| 0 | 1196 | 60 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))) |
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
a |
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) |
(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))) |
(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))) |
#s(literal 9 binary64) |
rand |
| Outputs |
|---|
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))) |
(*.f64 (+.f64 (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
(-.f64 a #s(literal 1/3 binary64)) |
a |
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)) |
(+.f64 (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand) |
(/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) |
(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))) |
(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))) |
(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))) |
(*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) |
#s(literal 9 binary64) |
rand |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.08203125 | (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))) | |
| accuracy | 0.18359375 | (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand) | |
| accuracy | 0.33203125 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) | |
| accuracy | 0.6171790657786715 | (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))) |
| 26.0ms | 238× | 0 | valid |
| 2.0ms | 9× | 1 | valid |
| 1.0ms | 6× | 2 | valid |
| 1.0ms | 3× | 5 | exit |
Compiled 170 to 28 computations (83.5% saved)
ival-add: 6.0ms (28.3% of total)ival-div: 5.0ms (23.6% of total)ival-mult: 5.0ms (23.6% of total)ival-sqrt: 2.0ms (9.4% of total)adjust: 1.0ms (4.7% of total)ival-sub: 1.0ms (4.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand) |
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))) |
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) |
(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))) |
| Outputs |
|---|
(* 1/3 (* rand (sqrt -3))) |
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))) |
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))) |
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))) |
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3))))))) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))))))))))))) |
-1/3 |
(- a 1/3) |
(* 3 (sqrt -1/3)) |
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3))) |
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3)))))) |
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3)))))) |
(* 1/3 (sqrt -3)) |
(+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3))) |
(+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3)))))) |
(+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3)))))) |
-3 |
(- (* 9 a) 3) |
(* 1/3 (* (sqrt (/ 1 a)) rand)) |
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))) |
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) |
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))) |
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))) |
a |
(* a (- 1 (* 1/3 (/ 1 a)))) |
(* 3 (sqrt a)) |
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a))))) |
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a)))))) |
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a))))))) |
(* 1/3 (sqrt (/ 1 a))) |
(+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))) |
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))) |
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a)))))) |
(* 9 a) |
(* a (- 9 (* 3 (/ 1 a)))) |
(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))) |
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) |
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) |
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) |
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) |
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a))))) |
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a))))) |
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a))))) |
(* -1 (* a (- (* 1/3 (/ 1 a)) 1))) |
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1)))) |
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))) |
(* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))) |
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))) |
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))) |
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (sqrt -1) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* (sqrt -1) (+ 1/27 (* -1/36 a))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))) |
(* -1 (* a (- (* 3 (/ 1 a)) 9))) |
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))) |
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) |
(* 1/3 (* rand (sqrt (- a 1/3)))) |
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))) |
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | a | @ | inf | ((/ 1 3) (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) (sqrt (* 9 (- a (/ 1 3)))) (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (* 9 (- a (/ 1 3)))) |
| 4.0ms | a | @ | -inf | ((/ 1 3) (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) (sqrt (* 9 (- a (/ 1 3)))) (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (* 9 (- a (/ 1 3)))) |
| 3.0ms | a | @ | 0 | ((/ 1 3) (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) (sqrt (* 9 (- a (/ 1 3)))) (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (* 9 (- a (/ 1 3)))) |
| 2.0ms | rand | @ | 0 | ((/ 1 3) (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) (sqrt (* 9 (- a (/ 1 3)))) (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (* 9 (- a (/ 1 3)))) |
| 1.0ms | rand | @ | inf | ((/ 1 3) (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) (sqrt (* 9 (- a (/ 1 3)))) (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (* 9 (- a (/ 1 3)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 339 | 1584 |
| 1 | 1141 | 1337 |
| 2 | 5043 | 1320 |
| 0 | 8009 | 1225 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (* rand (sqrt -3))) |
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))) |
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))) |
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))) |
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3))))))) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))))))))))))) |
-1/3 |
(- a 1/3) |
(* 3 (sqrt -1/3)) |
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3))) |
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3)))))) |
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3)))))) |
(* 1/3 (sqrt -3)) |
(+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3))) |
(+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3)))))) |
(+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3)))))) |
-3 |
(- (* 9 a) 3) |
(* 1/3 (* (sqrt (/ 1 a)) rand)) |
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))) |
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) |
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))) |
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))) |
a |
(* a (- 1 (* 1/3 (/ 1 a)))) |
(* 3 (sqrt a)) |
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a))))) |
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a)))))) |
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a))))))) |
(* 1/3 (sqrt (/ 1 a))) |
(+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))) |
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))) |
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a)))))) |
(* 9 a) |
(* a (- 9 (* 3 (/ 1 a)))) |
(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))) |
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) |
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) |
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) |
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) |
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a))))) |
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a))))) |
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a))))) |
(* -1 (* a (- (* 1/3 (/ 1 a)) 1))) |
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1)))) |
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))) |
(* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))) |
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))) |
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))) |
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (sqrt -1) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* (sqrt -1) (+ 1/27 (* -1/36 a))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))) |
(* -1 (* a (- (* 3 (/ 1 a)) 9))) |
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))) |
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) |
(* 1/3 (* rand (sqrt (- a 1/3)))) |
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))) |
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3)))))) |
| Outputs |
|---|
(* 1/3 (* rand (sqrt -3))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64)) |
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) rand (*.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64)) a)) |
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))) |
(fma.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -27/8 binary64) rand) (*.f64 #s(literal -3/2 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) |
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 405/8 binary64) rand) a) #s(literal -1/6 binary64)) a (fma.f64 (*.f64 #s(literal -27/8 binary64) rand) a (*.f64 #s(literal -3/2 binary64) rand))) (sqrt.f64 #s(literal -3 binary64))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) |
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) |
(fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64)) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3))))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))) a (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))) |
(fma.f64 (+.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 #s(literal -3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 9/8 binary64) rand (*.f64 #s(literal -3/2 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))) a (*.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))))) #s(literal 1 binary64)) a (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))))))))))))) |
(fma.f64 (+.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 #s(literal -3 binary64)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 45/16 binary64) rand (*.f64 #s(literal -27/8 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))) a (/.f64 (fma.f64 #s(literal 9/8 binary64) rand (*.f64 #s(literal -3/2 binary64) rand)) (sqrt.f64 #s(literal -3 binary64)))) a (*.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))))) #s(literal 1 binary64)) a (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))) |
-1/3 |
#s(literal -1/3 binary64) |
(- a 1/3) |
(-.f64 a #s(literal 1/3 binary64)) |
(* 3 (sqrt -1/3)) |
(*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64)) |
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3))) |
(fma.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) |
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3)))))) |
(fma.f64 (fma.f64 #s(literal 9/8 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) |
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3)))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) #s(literal 3/16 binary64)) (/.f64 #s(literal -9/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) |
(* 1/3 (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) |
(+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3))) |
(fma.f64 (/.f64 a (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) |
(+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3)))))) |
(fma.f64 (/.f64 (fma.f64 a #s(literal -27/8 binary64) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal -3 binary64))) a (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) |
(+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3)))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -135/16 binary64) a #s(literal -27/8 binary64)) (sqrt.f64 #s(literal -3 binary64))) a (/.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) |
-3 |
#s(literal -3 binary64) |
(- (* 9 a) 3) |
(-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64)) |
(* 1/3 (* (sqrt (/ 1 a)) rand)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) |
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))) |
(*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)))) |
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64)) rand (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))))) |
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64)) rand (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) rand) (*.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) #s(literal 1/6 binary64)) (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)))))) |
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)) #s(literal 1 binary64)) a) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))))) a a) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) #s(literal 0 binary64) (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)))))) a a) |
a |
(* a (- 1 (* 1/3 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a) |
(* 3 (sqrt a)) |
(*.f64 (sqrt.f64 a) #s(literal 3 binary64)) |
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))) a) |
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a)))))) |
(*.f64 (fma.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)))) a) |
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a))))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 #s(literal -1/144 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))))) a) |
(* 1/3 (sqrt (/ 1 a))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)) |
(+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) |
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)))) |
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))))) |
(* 9 a) |
(*.f64 #s(literal 9 binary64) a) |
(* a (- 9 (* 3 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) a)) a) |
(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) |
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) |
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) |
(fma.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) |
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 a) rand) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/18 binary64))) (sqrt.f64 #s(literal -9 binary64))) (pow.f64 (neg.f64 a) #s(literal 3 binary64)))) |
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) |
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal 1/3 binary64) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))))) |
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a))))) |
(*.f64 (neg.f64 a) (-.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/6 binary64))) (sqrt.f64 #s(literal -9 binary64)))) a))) |
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a))))) |
(*.f64 (neg.f64 a) (-.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))) (/.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 0 binary64) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))))) (neg.f64 a))) a))) |
(* -1 (* a (- (* 1/3 (/ 1 a)) 1))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64))) |
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 a)) (sqrt.f64 #s(literal -9 binary64))) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (*.f64 (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))) |
(* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) |
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) |
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))) |
(fma.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) |
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (sqrt -1) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* (sqrt -1) (+ 1/27 (* -1/36 a))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 a)) #s(literal 1/18 binary64))) (sqrt.f64 #s(literal -9 binary64))) (pow.f64 (neg.f64 a) #s(literal 3 binary64)))) |
(* -1 (* a (- (* 3 (/ 1 a)) 9))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 9 binary64))) |
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))))) |
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) |
(* 1/3 (* rand (sqrt (- a 1/3)))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))) |
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand) |
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3)))))) |
(*.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (neg.f64 rand)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 49 |
| 0 | 22 | 49 |
| 1 | 76 | 43 |
| 2 | 504 | 43 |
| 3 | 7155 | 43 |
| 0 | 8164 | 42 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand) |
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))) |
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) |
(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))) |
| Outputs |
|---|
#s(literal 1/3 binary64) |
(*.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)))) (sqrt.f64 (+.f64 a #s(literal 1/3 binary64)))) |
(*.f64 (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (sqrt.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))))) |
(*.f64 (*.f64 rand (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal -1/4 binary64))) (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal -1/4 binary64))) |
(*.f64 (/.f64 rand #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 rand (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 rand (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) |
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) |
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal -1/4 binary64)) rand)) |
(*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand)) |
(*.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64)) |
(*.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) rand)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(*.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))) |
(/.f64 (/.f64 (neg.f64 rand) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
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(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
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(/.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 a (+.f64 a #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 a (/.f64 a (+.f64 a #s(literal 1/3 binary64)))) (*.f64 a (/.f64 a (+.f64 a #s(literal 1/3 binary64)))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (*.f64 a (/.f64 a (+.f64 a #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))))))) |
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(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal -1/4 binary64))) (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal -1/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal -1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal -1/4 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 9 binary64) #s(literal -1/2 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal -1/4 binary64)) (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 #s(literal 9 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(pow.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal -1/2 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal 1/4 binary64))) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(/.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(-.f64 (cosh.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))) (sinh.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))) #s(literal -1/2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))) (sinh.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal 9 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 a a) (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal 9 binary64)) (+.f64 (pow.f64 (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) #s(literal 9 binary64)) (+.f64 #s(literal 1/27 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a a (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) #s(literal 9 binary64)) (-.f64 (*.f64 a a) #s(literal 1/9 binary64))) (-.f64 a #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))) (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 9 binary64)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 3 binary64)) |
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (fabs.f64 (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))) |
(*.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))) |
(*.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (/.f64 #s(literal 9 binary64) (+.f64 a #s(literal 1/3 binary64)))) |
(*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)) (/.f64 #s(literal 9 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))))) |
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 #s(literal -3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) |
(*.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) |
(*.f64 #s(literal 9 binary64) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))) |
(pow.f64 (*.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64))) #s(literal 9 binary64)) (+.f64 #s(literal -1/3 binary64) (neg.f64 a))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64))) #s(literal 9 binary64)) (neg.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))))) |
(/.f64 (*.f64 #s(literal 9 binary64) (neg.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)))) (+.f64 #s(literal -1/3 binary64) (neg.f64 a))) |
(/.f64 (*.f64 #s(literal 9 binary64) (neg.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal 9 binary64))) (neg.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) #s(literal 9 binary64))) (+.f64 #s(literal -1/3 binary64) (neg.f64 a))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal 9 binary64)) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) #s(literal 9 binary64)) (+.f64 a #s(literal 1/3 binary64))) |
(sqrt.f64 (*.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (sinh.f64 (log.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))) |
Compiled 14 177 to 1 956 computations (86.2% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 428 | 9 | 437 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 429 | 9 | 438 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
| 99.8% | (fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)) (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) | |
| ▶ | 99.8% | (fma.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
| 99.8% | (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64))) | |
| ▶ | 99.8% | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))) |
| ▶ | 0.0% | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))) |
| 97.4% | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) | |
| ▶ | 69.9% | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
| 37.2% | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
Compiled 426 to 268 computations (37.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (-.f64 a #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) | |
| cost-diff | 2 | (fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) | |
| cost-diff | 0 | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) | |
| cost-diff | 3 | (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand) | |
| cost-diff | 0 | (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) rand) | |
| cost-diff | 0 | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))) | |
| cost-diff | 1 | (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (sqrt.f64 #s(literal -3 binary64)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64)) | |
| cost-diff | 0 | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))) | |
| cost-diff | 0 | (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))) | |
| cost-diff | 0 | (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) | |
| cost-diff | 1 | (fma.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 239 |
| 0 | 60 | 234 |
| 1 | 116 | 228 |
| 2 | 248 | 227 |
| 3 | 628 | 227 |
| 4 | 1347 | 227 |
| 5 | 2289 | 227 |
| 6 | 3889 | 227 |
| 7 | 5387 | 227 |
| 8 | 7621 | 227 |
| 0 | 8693 | 222 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) |
rand |
(sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))) |
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) |
(-.f64 a #s(literal 1/3 binary64)) |
a |
#s(literal 1/3 binary64) |
#s(literal 9 binary64) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))) |
(fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64)) |
#s(literal -1/9 binary64) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) |
(sqrt.f64 #s(literal -3 binary64)) |
#s(literal -3 binary64) |
rand |
#s(literal -1/3 binary64) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) |
(*.f64 #s(literal 1/3 binary64) rand) |
#s(literal 1/3 binary64) |
rand |
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) |
(-.f64 a #s(literal 1/3 binary64)) |
a |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand) |
(fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) |
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) |
(-.f64 a #s(literal 1/3 binary64)) |
a |
#s(literal 1/3 binary64) |
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) |
rand |
(fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
(/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(-.f64 a #s(literal 1/3 binary64)) |
a |
#s(literal 1/3 binary64) |
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) |
(*.f64 rand #s(literal 1/3 binary64)) |
rand |
| Outputs |
|---|
(fma.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
(*.f64 (+.f64 (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) |
(/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) |
rand |
(sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))) |
(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))) |
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) |
(*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) |
(-.f64 a #s(literal 1/3 binary64)) |
a |
#s(literal 1/3 binary64) |
#s(literal 9 binary64) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64))) |
(fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/9 binary64) #s(literal -1/3 binary64)) |
#s(literal -1/9 binary64) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) |
(sqrt.f64 #s(literal -3 binary64)) |
#s(literal -3 binary64) |
rand |
#s(literal -1/3 binary64) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand #s(literal -1 binary64)) #s(literal 1/3 binary64) a)) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) |
(fma.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand #s(literal -1 binary64)) #s(literal 1/3 binary64) a) |
(*.f64 #s(literal 1/3 binary64) rand) |
#s(literal 1/3 binary64) |
rand |
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) |
(-.f64 a #s(literal 1/3 binary64)) |
a |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand #s(literal -1 binary64)) #s(literal 1/3 binary64) a)) |
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand) |
(fma.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand #s(literal -1 binary64)) #s(literal 1/3 binary64) a) |
(fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) |
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) |
(-.f64 a #s(literal 1/3 binary64)) |
a |
#s(literal 1/3 binary64) |
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) |
rand |
(fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
(*.f64 (fma.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
(/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(/.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(-.f64 a #s(literal 1/3 binary64)) |
a |
#s(literal 1/3 binary64) |
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) |
(*.f64 rand #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) rand) |
rand |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) | |
| accuracy | 0.0 | (-.f64 a #s(literal 1/3 binary64)) | |
| accuracy | 0.0 | (*.f64 rand #s(literal 1/3 binary64)) | |
| accuracy | 0.0 | (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) | |
| accuracy | 0.0 | (-.f64 a #s(literal 1/3 binary64)) | |
| accuracy | 0.0 | (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand) | |
| accuracy | 0.0 | (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) | |
| accuracy | 0.0 | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) | |
| accuracy | 0.0 | (-.f64 a #s(literal 1/3 binary64)) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/3 binary64) rand) | |
| accuracy | 0.0 | (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) | |
| accuracy | 0.0 | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))) | |
| accuracy | 0.0 | (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64)) | |
| accuracy | 0.0 | (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) | |
| accuracy | 0.0 | (sqrt.f64 #s(literal -3 binary64)) | |
| accuracy | 0.0 | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))) | |
| accuracy | 0.0 | (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) | |
| accuracy | 0.0 | (-.f64 a #s(literal 1/3 binary64)) | |
| accuracy | 0.0 | (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) | |
| accuracy | 0.0 | (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))) |
| 132.0ms | 256× | 0 | invalid |
Compiled 476 to 79 computations (83.4% saved)
ival-mult: 38.0ms (40.8% of total)ival-sqrt: 19.0ms (20.4% of total)ival-add: 15.0ms (16.1% of total)const: 10.0ms (10.7% of total)ival-div: 8.0ms (8.6% of total)ival-sub: 3.0ms (3.2% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) |
(sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))) |
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))) |
(fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) |
(sqrt.f64 #s(literal -3 binary64)) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) rand) |
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) |
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
(fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) |
(fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
(/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(-.f64 a #s(literal 1/3 binary64)) |
(*.f64 rand #s(literal 1/3 binary64)) |
| Outputs |
|---|
(- (* 1/3 (* rand (sqrt -1/3))) 1/3) |
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3) |
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3) |
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3) |
(* 1/3 (* rand (sqrt -3))) |
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))) |
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))) |
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))) |
(* 3 (sqrt -1/3)) |
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3))) |
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3)))))) |
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3)))))) |
-3 |
(- (* 9 a) 3) |
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3))))))) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))))))))))))) |
(sqrt -1/3) |
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3)))) |
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3)))))) |
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3)))))) |
(* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))) |
(+ (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))) |
(+ (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))) |
(+ (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))) |
(- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))) |
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* 1/3 (/ 1 rand))) |
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand))))) (* 1/3 (/ 1 rand))) |
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand))))) (* 1/3 (/ 1 rand))) |
-1/3 |
(- a 1/3) |
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) |
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a)))) |
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a)))) |
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a)))) |
(* 1/3 (* (sqrt (/ 1 a)) rand)) |
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))) |
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) |
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))) |
(* 3 (sqrt a)) |
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a))))) |
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a)))))) |
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a))))))) |
(* 9 a) |
(* a (- 9 (* 3 (/ 1 a)))) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))) |
(sqrt a) |
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3)))))) |
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5))))))) |
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7)))))))) |
(* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) |
(* a (- (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (* 1/3 (/ 1 a)))) |
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (* 1/3 (/ 1 a)))) |
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))) (* 1/3 (/ 1 a)))) |
(* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) |
(* a (- (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)) (* 1/3 (/ 1 (* a rand))))) |
(* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (/ 1/3 (* a rand)))) |
(* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (/ 1/3 (* a rand)))) |
a |
(* a (- 1 (* 1/3 (/ 1 a)))) |
(* -1 (* a (- (* -1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) 1))) |
(* -1 (* a (- (+ (* -1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/3 (/ 1 a))) 1))) |
(* -1 (* a (- (+ (* -1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1 (/ (- (* 1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) 1/3) a))) 1))) |
(* -1 (* a (- (+ (* -1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/72 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)) 1/3) a))) 1))) |
(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))) |
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) |
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) |
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) |
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1)))) |
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))) |
(* -1 (* a (- (* 3 (/ 1 a)) 9))) |
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) |
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a))))) |
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a))))) |
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a))))) |
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1))) |
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1))) |
(* -1 (* (sqrt a) (pow (sqrt -1) 2))) |
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))) |
(* -1 (* a (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))) |
(* -1 (* a (+ (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))) (* 1/3 (/ 1 a))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))) |
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))) |
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* a rand)))) (/ 1 rand)))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand)))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/18 (* (sqrt a) (pow (sqrt -1) 2)))) a)) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand)))) |
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1))) |
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1))) |
(* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1))) |
(* -1 (* a (+ (* -1 (sqrt (/ 1 a))) (* -1/6 (sqrt (/ 1 (pow a 3))))))) |
(* -1 (* a (+ (* -1 (sqrt (/ 1 a))) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* 1/72 (sqrt (/ 1 (pow a 5)))))))) |
(* -1 (* a (+ (* -1 (sqrt (/ 1 a))) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/432 (sqrt (/ 1 (pow a 7)))) (* 1/72 (sqrt (/ 1 (pow a 5))))))))) |
(* -1 (* a (- (* 1/3 (/ 1 a)) 1))) |
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) |
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))) |
(- (* -1/9 (* rand (sqrt -3))) 1/3) |
(* rand (sqrt -3)) |
(* 1/3 rand) |
(/ (- a 1/3) rand) |
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand) |
(* 1/3 (* rand (sqrt (- a 1/3)))) |
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))) |
(* -1/9 (* rand (sqrt -3))) |
(* rand (- (* -1/9 (sqrt -3)) (* 1/3 (/ 1 rand)))) |
(* 1/3 (sqrt (- a 1/3))) |
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))) |
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3)))))) |
(* -1 (* rand (+ (* 1/9 (sqrt -3)) (* 1/3 (/ 1 rand))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | rand | @ | 0 | ((+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (/ rand (sqrt (* (- a 1/3) 9))) (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* -1/9 (* (sqrt -3) rand)) -1/3) (* (sqrt -3) rand) (sqrt -3) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* 1/3 rand) (sqrt (- a 1/3)) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (+ (* (/ (- a 1/3) (sqrt (- a 1/3))) (* rand 1/3)) (- a 1/3)) (/ (- a 1/3) (sqrt (- a 1/3))) (- a 1/3) (* rand 1/3)) |
| 5.0ms | a | @ | -inf | ((+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (/ rand (sqrt (* (- a 1/3) 9))) (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* -1/9 (* (sqrt -3) rand)) -1/3) (* (sqrt -3) rand) (sqrt -3) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* 1/3 rand) (sqrt (- a 1/3)) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (+ (* (/ (- a 1/3) (sqrt (- a 1/3))) (* rand 1/3)) (- a 1/3)) (/ (- a 1/3) (sqrt (- a 1/3))) (- a 1/3) (* rand 1/3)) |
| 3.0ms | rand | @ | -inf | ((+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (/ rand (sqrt (* (- a 1/3) 9))) (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* -1/9 (* (sqrt -3) rand)) -1/3) (* (sqrt -3) rand) (sqrt -3) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* 1/3 rand) (sqrt (- a 1/3)) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (+ (* (/ (- a 1/3) (sqrt (- a 1/3))) (* rand 1/3)) (- a 1/3)) (/ (- a 1/3) (sqrt (- a 1/3))) (- a 1/3) (* rand 1/3)) |
| 2.0ms | rand | @ | inf | ((+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (/ rand (sqrt (* (- a 1/3) 9))) (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* -1/9 (* (sqrt -3) rand)) -1/3) (* (sqrt -3) rand) (sqrt -3) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* 1/3 rand) (sqrt (- a 1/3)) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (+ (* (/ (- a 1/3) (sqrt (- a 1/3))) (* rand 1/3)) (- a 1/3)) (/ (- a 1/3) (sqrt (- a 1/3))) (- a 1/3) (* rand 1/3)) |
| 2.0ms | a | @ | 0 | ((+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (/ rand (sqrt (* (- a 1/3) 9))) (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* -1/9 (* (sqrt -3) rand)) -1/3) (* (sqrt -3) rand) (sqrt -3) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* 1/3 rand) (sqrt (- a 1/3)) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (+ (* (/ (- a 1/3) (sqrt (- a 1/3))) (* rand 1/3)) (- a 1/3)) (/ (- a 1/3) (sqrt (- a 1/3))) (- a 1/3) (* rand 1/3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 599 | 2955 |
| 1 | 2037 | 2483 |
| 0 | 8686 | 2309 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* 1/3 (* rand (sqrt -1/3))) 1/3) |
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3) |
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3) |
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3) |
(* 1/3 (* rand (sqrt -3))) |
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))) |
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))) |
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))) |
(* 3 (sqrt -1/3)) |
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3))) |
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3)))))) |
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3)))))) |
-3 |
(- (* 9 a) 3) |
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3))))))) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))))))))))))) |
(sqrt -1/3) |
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3)))) |
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3)))))) |
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3)))))) |
(* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))) |
(+ (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))) |
(+ (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))) |
(+ (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))) |
(- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))) |
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* 1/3 (/ 1 rand))) |
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand))))) (* 1/3 (/ 1 rand))) |
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand))))) (* 1/3 (/ 1 rand))) |
-1/3 |
(- a 1/3) |
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) |
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a)))) |
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a)))) |
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a)))) |
(* 1/3 (* (sqrt (/ 1 a)) rand)) |
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))) |
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) |
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))) |
(* 3 (sqrt a)) |
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a))))) |
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a)))))) |
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a))))))) |
(* 9 a) |
(* a (- 9 (* 3 (/ 1 a)))) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))) |
(sqrt a) |
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3)))))) |
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5))))))) |
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7)))))))) |
(* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) |
(* a (- (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (* 1/3 (/ 1 a)))) |
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (* 1/3 (/ 1 a)))) |
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))) (* 1/3 (/ 1 a)))) |
(* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) |
(* a (- (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)) (* 1/3 (/ 1 (* a rand))))) |
(* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (/ 1/3 (* a rand)))) |
(* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (/ 1/3 (* a rand)))) |
a |
(* a (- 1 (* 1/3 (/ 1 a)))) |
(* -1 (* a (- (* -1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) 1))) |
(* -1 (* a (- (+ (* -1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/3 (/ 1 a))) 1))) |
(* -1 (* a (- (+ (* -1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1 (/ (- (* 1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) 1/3) a))) 1))) |
(* -1 (* a (- (+ (* -1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/72 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)) 1/3) a))) 1))) |
(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))) |
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) |
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) |
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) |
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1)))) |
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))) |
(* -1 (* a (- (* 3 (/ 1 a)) 9))) |
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) |
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a))))) |
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a))))) |
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a))))) |
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1))) |
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1))) |
(* -1 (* (sqrt a) (pow (sqrt -1) 2))) |
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))) |
(* -1 (* a (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))) |
(* -1 (* a (+ (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))) (* 1/3 (/ 1 a))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))) |
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))) |
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* a rand)))) (/ 1 rand)))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand)))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/18 (* (sqrt a) (pow (sqrt -1) 2)))) a)) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand)))) |
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1))) |
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1))) |
(* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1))) |
(* -1 (* a (+ (* -1 (sqrt (/ 1 a))) (* -1/6 (sqrt (/ 1 (pow a 3))))))) |
(* -1 (* a (+ (* -1 (sqrt (/ 1 a))) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* 1/72 (sqrt (/ 1 (pow a 5)))))))) |
(* -1 (* a (+ (* -1 (sqrt (/ 1 a))) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/432 (sqrt (/ 1 (pow a 7)))) (* 1/72 (sqrt (/ 1 (pow a 5))))))))) |
(* -1 (* a (- (* 1/3 (/ 1 a)) 1))) |
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) |
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))) |
(- (* -1/9 (* rand (sqrt -3))) 1/3) |
(* rand (sqrt -3)) |
(* 1/3 rand) |
(/ (- a 1/3) rand) |
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand) |
(* 1/3 (* rand (sqrt (- a 1/3)))) |
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))) |
(* -1/9 (* rand (sqrt -3))) |
(* rand (- (* -1/9 (sqrt -3)) (* 1/3 (/ 1 rand)))) |
(* 1/3 (sqrt (- a 1/3))) |
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))) |
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3)))))) |
(* -1 (* rand (+ (* 1/9 (sqrt -3)) (* 1/3 (/ 1 rand))))) |
| Outputs |
|---|
(- (* 1/3 (* rand (sqrt -1/3))) 1/3) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) |
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3) |
(fma.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) a (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))) |
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) rand (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) a #s(literal 1 binary64))) a (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))) |
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64))) a (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))) |
(* 1/3 (* rand (sqrt -3))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64)) |
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))) |
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64)) a (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) |
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -27/8 binary64) rand) a (*.f64 #s(literal -3/2 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) |
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -27/8 binary64) rand (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 405/8 binary64) rand) a))) (sqrt.f64 #s(literal -3 binary64))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) |
(* 3 (sqrt -1/3)) |
(*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64)) |
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3))) |
(fma.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) |
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3)))))) |
(fma.f64 (fma.f64 #s(literal 9/8 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) |
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3)))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) #s(literal 3/16 binary64)) (/.f64 #s(literal -9/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) |
-3 |
#s(literal -3 binary64) |
(- (* 9 a) 3) |
(-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64)) |
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) |
(fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64)) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3))))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))) a (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))) |
(fma.f64 (+.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand (fma.f64 (/.f64 (fma.f64 #s(literal 9/8 binary64) rand (*.f64 #s(literal -3/2 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))) a (*.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))))) #s(literal 1 binary64)) a (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))))))))))))) |
(fma.f64 (+.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 45/16 binary64) rand (*.f64 #s(literal -27/8 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))) a (/.f64 (fma.f64 #s(literal 9/8 binary64) rand (*.f64 #s(literal -3/2 binary64) rand)) (sqrt.f64 #s(literal -3 binary64)))) a (*.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))))) #s(literal 1 binary64)) a (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))) |
(sqrt -1/3) |
(sqrt.f64 #s(literal -1/3 binary64)) |
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) a (sqrt.f64 #s(literal -1/3 binary64))) |
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3)))))) |
(fma.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (sqrt.f64 #s(literal -1/3 binary64))) |
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3)))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (sqrt.f64 #s(literal -1/3 binary64))) |
(* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64) (/.f64 #s(literal -1/3 binary64) rand)) rand) |
(+ (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))) |
(fma.f64 (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64) (/.f64 #s(literal -1/3 binary64) rand)) rand (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) a)) |
(+ (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) rand (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) a #s(literal 1 binary64))) a (*.f64 (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64) (/.f64 #s(literal -1/3 binary64) rand)) rand)) |
(+ (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64))) a (*.f64 (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64) (/.f64 #s(literal -1/3 binary64) rand)) rand)) |
(- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))) |
(fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64) (/.f64 #s(literal -1/3 binary64) rand)) |
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* 1/3 (/ 1 rand))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64) (/.f64 #s(literal -1/3 binary64) rand))) |
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand))))) (* 1/3 (/ 1 rand))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))))) a (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64) (/.f64 #s(literal -1/3 binary64) rand))) |
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand))))) (* 1/3 (/ 1 rand))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) #s(literal 1/48 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (-.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))))) a (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64) (/.f64 #s(literal -1/3 binary64) rand))) |
-1/3 |
#s(literal -1/3 binary64) |
(- a 1/3) |
(-.f64 a #s(literal 1/3 binary64)) |
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) |
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))) a) |
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a)))) |
(*.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))) a) |
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a)))) |
(+.f64 a (*.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/18 binary64))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal -1/3 binary64) a))) a)) |
(* 1/3 (* (sqrt (/ 1 a)) rand)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) |
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))) |
(*.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)))) |
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) |
(fma.f64 (*.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) rand (*.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))))) |
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))) |
(fma.f64 (*.f64 #s(literal 1/54 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) rand)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)))))) |
(* 3 (sqrt a)) |
(*.f64 (sqrt.f64 a) #s(literal 3 binary64)) |
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))) a) |
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a)))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)))) a) |
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a))))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 #s(literal -1/144 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))))) a) |
(* 9 a) |
(*.f64 #s(literal 9 binary64) a) |
(* a (- 9 (* 3 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) a)) a) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)) #s(literal 1 binary64)) a) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (*.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))))) a a) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) #s(literal 0 binary64) (*.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)))))) a a) |
(sqrt a) |
(sqrt.f64 a) |
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3)))))) |
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(*.f64 (neg.f64 a) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) a) rand)) (/.f64 #s(literal 1 binary64) rand))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand)))) |
(*.f64 (neg.f64 a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (-.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/18 binary64) (/.f64 #s(literal -1/3 binary64) rand)) (neg.f64 a)) (/.f64 #s(literal 1 binary64) rand)))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/18 (* (sqrt a) (pow (sqrt -1) 2)))) a)) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand)))) |
(*.f64 (neg.f64 a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 a) #s(literal -1/18 binary64))) (neg.f64 a)) (/.f64 #s(literal 1/3 binary64) rand)) (neg.f64 a)) (/.f64 #s(literal 1 binary64) rand)))) |
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1))) |
(*.f64 (neg.f64 a) (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64))) |
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64)))) |
(* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1))) |
(*.f64 (neg.f64 a) (-.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 1/3 binary64)) (neg.f64 a))) #s(literal 1 binary64))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1))) |
(*.f64 (neg.f64 a) (-.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) rand (/.f64 (-.f64 (/.f64 (*.f64 rand (fma.f64 #s(literal 1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 a) #s(literal -1/18 binary64)))) (neg.f64 a)) #s(literal 1/3 binary64)) (neg.f64 a))) #s(literal 1 binary64))) |
(* -1 (* a (+ (* -1 (sqrt (/ 1 a))) (* -1/6 (sqrt (/ 1 (pow a 3))))))) |
(*.f64 (neg.f64 a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) |
(* -1 (* a (+ (* -1 (sqrt (/ 1 a))) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* 1/72 (sqrt (/ 1 (pow a 5)))))))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))) |
(* -1 (* a (+ (* -1 (sqrt (/ 1 a))) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/432 (sqrt (/ 1 (pow a 7)))) (* 1/72 (sqrt (/ 1 (pow a 5))))))))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))) |
(* -1 (* a (- (* 1/3 (/ 1 a)) 1))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64))) |
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) |
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))))) |
(- (* -1/9 (* rand (sqrt -3))) 1/3) |
(-.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) (sqrt.f64 #s(literal -3 binary64))) rand) #s(literal 1/3 binary64)) |
(* rand (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) |
(* 1/3 rand) |
(*.f64 #s(literal 1/3 binary64) rand) |
(/ (- a 1/3) rand) |
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) |
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) rand) |
(* 1/3 (* rand (sqrt (- a 1/3)))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))) |
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand) |
(* -1/9 (* rand (sqrt -3))) |
(*.f64 (*.f64 #s(literal -1/9 binary64) (sqrt.f64 #s(literal -3 binary64))) rand) |
(* rand (- (* -1/9 (sqrt -3)) (* 1/3 (/ 1 rand)))) |
(*.f64 (fma.f64 #s(literal -1/9 binary64) (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal -1/3 binary64) rand)) rand) |
(* 1/3 (sqrt (- a 1/3))) |
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) |
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))) |
(fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) |
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3)))))) |
(*.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (neg.f64 rand)))) |
(* -1 (* rand (+ (* 1/9 (sqrt -3)) (* 1/3 (/ 1 rand))))) |
(neg.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) (sqrt.f64 #s(literal -3 binary64))) rand #s(literal 1/3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 200 |
| 0 | 60 | 199 |
| 1 | 222 | 193 |
| 2 | 1667 | 193 |
| 0 | 8198 | 189 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) |
(sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))) |
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))) |
(fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) |
(sqrt.f64 #s(literal -3 binary64)) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) rand) |
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) |
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
(fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) |
(fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
(/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(-.f64 a #s(literal 1/3 binary64)) |
(*.f64 rand #s(literal 1/3 binary64)) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
(*.f64 (-.f64 a #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) (-.f64 a #s(literal 1/3 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))) (neg.f64 (fma.f64 (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) (-.f64 (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64)))) (neg.f64 (+.f64 #s(literal 1/3 binary64) a))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64)))) (neg.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64)) (-.f64 (*.f64 a a) #s(literal 1/9 binary64)))) (neg.f64 (+.f64 #s(literal 1/3 binary64) a))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) (-.f64 (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) a) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (neg.f64 (+.f64 (fma.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) a) #s(literal 1/3 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))) (neg.f64 (-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) a) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) a) #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) a) #s(literal 1/3 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (-.f64 a #s(literal 1/3 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -3/2 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 a #s(literal 1/3 binary64)) (-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) (/.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) (-.f64 (*.f64 a a) #s(literal 1/9 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))) (+.f64 #s(literal 1/3 binary64) a)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 a a) #s(literal 1/9 binary64)))) (neg.f64 (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) (-.f64 (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1/3 binary64) a)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) (-.f64 (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))))) (neg.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) a) (fma.f64 (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) (-.f64 (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))))) (neg.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) (fma.f64 (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) (-.f64 (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand) (+.f64 #s(literal 1/3 binary64) a) (*.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))) (-.f64 (*.f64 a a) #s(literal 1/9 binary64))))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) a)))) |
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(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (-.f64 a #s(literal 1/3 binary64))))) |
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(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -3/2 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 a #s(literal 1/3 binary64)) (-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) (/.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) (-.f64 (*.f64 a a) #s(literal 1/9 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))) (+.f64 #s(literal 1/3 binary64) a))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) |
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(/.f64 (*.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64))) (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) (-.f64 (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))) (*.f64 (+.f64 #s(literal 1/3 binary64) a) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1/3 binary64) a) (fma.f64 (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) (-.f64 (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))) (*.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) (fma.f64 (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) (-.f64 (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand) (+.f64 #s(literal 1/3 binary64) a) (*.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))) (-.f64 (*.f64 a a) #s(literal 1/9 binary64)))) (*.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal 1/3 binary64) a))) |
(/.f64 (fma.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (*.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) |
(/.f64 (fma.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (+.f64 #s(literal 1/3 binary64) a) (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand))) (*.f64 (+.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand))) (*.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))) |
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (-.f64 a #s(literal 1/3 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -3/2 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -3/2 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (-.f64 a #s(literal 1/3 binary64)) (-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) (/.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))) |
(fma.f64 (fabs.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (fabs.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) |
(fma.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) rand (-.f64 a #s(literal 1/3 binary64))) |
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) |
(fma.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (/.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
(fma.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) |
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) |
(fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) |
(fma.f64 (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand) (-.f64 a #s(literal 1/3 binary64))) |
(fma.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) |
(fma.f64 (-.f64 a #s(literal 1/3 binary64)) (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) (-.f64 a #s(literal 1/3 binary64))) |
(fma.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) |
(fma.f64 rand (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) (-.f64 a #s(literal 1/3 binary64))) |
(fma.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))) (-.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (-.f64 a #s(literal 1/3 binary64)))) (/.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (-.f64 a #s(literal 1/3 binary64))))) |
(-.f64 (fma.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) a) #s(literal 1/3 binary64)) |
(-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))))) |
(-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))) (-.f64 a #s(literal 1/3 binary64)))) |
(-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) #s(literal 3 binary64)) (fma.f64 (-.f64 a #s(literal 1/3 binary64)) (-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) (/.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))) (/.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 a #s(literal 1/3 binary64)) (-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) (/.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) rand) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))))) |
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (-.f64 a #s(literal 1/3 binary64))) |
(+.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) rand) |
(*.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))) |
(*.f64 (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) |
(*.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(*.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) rand)) (neg.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -3 binary64)))) |
(/.f64 (neg.f64 (*.f64 rand #s(literal -1 binary64))) (neg.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -3 binary64)))) |
(/.f64 (neg.f64 (/.f64 rand #s(literal 3 binary64))) (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(/.f64 (neg.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) #s(literal -3 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 rand))) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -3 binary64))))) |
(/.f64 (*.f64 #s(literal -1 binary64) rand) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -3 binary64))) |
(/.f64 (*.f64 rand #s(literal -1 binary64)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -3 binary64))) |
(/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
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(/.f64 (neg.f64 rand) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -3 binary64))) |
(/.f64 rand (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) |
(neg.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))) |
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(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64)) |
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(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand a) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand a) #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand a) #s(literal 1/3 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 rand rand) (*.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal 1/3 binary64)))) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand) (-.f64 a #s(literal 1/3 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 3 binary64)) #s(literal 1/27 binary64) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 rand rand) (*.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3/2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 3 binary64)) #s(literal 1/27 binary64) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 rand rand) (*.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal 1/3 binary64))) (-.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 rand rand) (*.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal 1/3 binary64)))) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand) (-.f64 a #s(literal 1/3 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 3 binary64)) #s(literal 1/27 binary64) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 rand rand) (*.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3/2 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 3 binary64)) #s(literal 1/27 binary64) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 rand rand) (*.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal 1/3 binary64))) (-.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3/2 binary64)))))) |
(fma.f64 (fabs.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (fabs.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand)) |
(fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))) |
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand)) |
(fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand (-.f64 a #s(literal 1/3 binary64))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) |
(fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (-.f64 a #s(literal 1/3 binary64))) |
(fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand)) |
(fma.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand)) |
(fma.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand)) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) (-.f64 a #s(literal 1/3 binary64))) |
(fma.f64 rand (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 rand rand) (*.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal 1/3 binary64)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand) (-.f64 a #s(literal 1/3 binary64)))) (/.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand) (-.f64 a #s(literal 1/3 binary64))))) |
(-.f64 (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand a) #s(literal 1/3 binary64)) |
(-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand))) |
(-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand))) |
(-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand) #s(literal 3 binary64)) (fma.f64 (*.f64 rand rand) (*.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal 1/3 binary64))) (-.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3/2 binary64)))))) (/.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 rand rand) (*.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal 1/3 binary64))) (-.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3/2 binary64))))))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand) (-.f64 a #s(literal 1/3 binary64))) |
(+.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) rand) |
(*.f64 rand #s(literal 1/3 binary64)) |
(*.f64 (neg.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1/4 binary64)))) |
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(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(*.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(pow.f64 (exp.f64 (log.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 a a) #s(literal 1/9 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (sqrt.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)))) (sqrt.f64 (neg.f64 (+.f64 #s(literal 1/3 binary64) a)))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64))) (sqrt.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) |
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand) |
(*.f64 rand (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal 1/3 binary64))) (pow.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) #s(literal 2 binary64))) rand)) (neg.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3/2 binary64)) #s(literal 1/27 binary64) (pow.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) #s(literal 3 binary64))) rand)) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal 1/3 binary64)) (*.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) (-.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))))))) |
(/.f64 (neg.f64 (*.f64 rand (-.f64 (*.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal 1/3 binary64))) (pow.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)))) |
(/.f64 (neg.f64 (*.f64 rand (fma.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3/2 binary64)) #s(literal 1/27 binary64) (pow.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal 1/3 binary64)) (*.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) (-.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal 1/3 binary64))) (pow.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) #s(literal 2 binary64))) rand) (-.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3/2 binary64)) #s(literal 1/27 binary64) (pow.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) #s(literal 3 binary64))) rand) (fma.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal 1/3 binary64)) (*.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) (-.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))))) |
(/.f64 (*.f64 rand (-.f64 (*.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal 1/3 binary64))) (pow.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) #s(literal 2 binary64)))) (-.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))) |
(/.f64 (*.f64 rand (fma.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3/2 binary64)) #s(literal 1/27 binary64) (pow.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal 1/3 binary64)) (*.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) (-.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))))) |
(fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (*.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) rand)) |
(fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (*.f64 rand (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))) |
(fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand (*.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) rand)) |
(fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand (*.f64 rand (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) rand)) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 rand (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))) |
(fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) rand (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand)) |
(fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (*.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) rand)) |
(fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (*.f64 rand (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) (*.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) rand)) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) (*.f64 rand (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))) |
(fma.f64 rand (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) (*.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) rand)) |
(fma.f64 rand (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) (*.f64 rand (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))) |
(fma.f64 rand (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand)) |
(+.f64 (*.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) rand) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand)) |
(+.f64 (*.f64 rand (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand)) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand) (*.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) rand)) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand) (*.f64 rand (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))) |
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(-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (*.f64 #s(literal 1/3 binary64) rand))) |
(-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) #s(literal 3 binary64)) (fma.f64 (-.f64 a #s(literal 1/3 binary64)) (-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64))))) (/.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 a #s(literal 1/3 binary64)) (-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64)))))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (-.f64 a #s(literal 1/3 binary64))) |
(+.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 a (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (/.f64 a (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 a (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -3/2 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 a (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 a (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 a (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))) (neg.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 a #s(literal 1/3 binary64))))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -3 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 a) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -3 binary64))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal -1 binary64))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -3 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 a) (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal -1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 a) (neg.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -3 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (neg.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -3 binary64))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 a) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 a) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(/.f64 (-.f64 (*.f64 a #s(literal 3 binary64)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) |
(/.f64 (-.f64 (*.f64 a (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -3 binary64))) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -3 binary64)))) |
(/.f64 (-.f64 (*.f64 a (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64))) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) |
(/.f64 (-.f64 (*.f64 a (neg.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -3 binary64)))) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (neg.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -3 binary64))))) |
(/.f64 (-.f64 (*.f64 a (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))) |
(/.f64 (-.f64 (neg.f64 a) #s(literal -1/3 binary64)) (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 a (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -1 binary64))) (+.f64 (/.f64 a (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 a (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -3/2 binary64))) (+.f64 (pow.f64 (/.f64 a (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 a (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 a #s(literal 1/3 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) |
(/.f64 (-.f64 (*.f64 a (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) |
(/.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 (+.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)) (*.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(/.f64 (neg.f64 (-.f64 a #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(neg.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) |
(-.f64 (/.f64 a (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(*.f64 (fabs.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (fabs.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(*.f64 (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(*.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))) |
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 2 binary64)) |
(pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1/3 binary64) a))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 a a) #s(literal 1/9 binary64)))) (neg.f64 (+.f64 #s(literal 1/3 binary64) a))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/3 binary64) a)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (*.f64 (+.f64 #s(literal 1/3 binary64) a) #s(literal 1/9 binary64))) (pow.f64 (+.f64 #s(literal 1/3 binary64) a) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (*.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) #s(literal 1/27 binary64))) (pow.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) #s(literal 2 binary64))) |
(/.f64 (fabs.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) #s(literal 1 binary64))) (fabs.f64 (+.f64 #s(literal 1/3 binary64) a))) |
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal 1 binary64))) (fabs.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) |
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 a a) #s(literal 1/9 binary64)))) (fabs.f64 (+.f64 #s(literal 1/3 binary64) a))) |
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (fabs.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) |
(/.f64 (fabs.f64 (neg.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)))) (fabs.f64 (neg.f64 (+.f64 #s(literal 1/3 binary64) a)))) |
(/.f64 (fabs.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (fabs.f64 (neg.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))))) |
(/.f64 (fabs.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64))) (fabs.f64 (+.f64 #s(literal 1/3 binary64) a))) |
(/.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fabs.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1/3 binary64) a)) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal 1 binary64)) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 a a) #s(literal 1/9 binary64))) (+.f64 #s(literal 1/3 binary64) a)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64))) (neg.f64 (+.f64 #s(literal 1/3 binary64) a))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) |
(/.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) a)) |
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) |
(sqrt.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a))) |
(-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) |
(-.f64 a #s(literal 1/3 binary64)) |
(fabs.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)))) |
(fabs.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))))) |
(fabs.f64 (-.f64 #s(literal 1/3 binary64) a)) |
(fabs.f64 (neg.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(fabs.f64 (-.f64 a #s(literal 1/3 binary64))) |
(exp.f64 (fma.f64 (log.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/2 binary64) (*.f64 (log.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/3 binary64) rand) |
(*.f64 rand #s(literal 1/3 binary64)) |
Compiled 50 433 to 4 228 computations (91.6% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 352 | 10 | 1 362 |
| Fresh | 4 | 0 | 4 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 360 | 11 | 1 371 |
| Status | Accuracy | Program |
|---|---|---|
| 36.5% | (fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) #s(approx (- a 1/3) #s(literal -1/3 binary64))) | |
| 36.6% | (fma.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64)) #s(approx (- a 1/3) #s(literal -1/3 binary64))) | |
| ▶ | 98.1% | (fma.f64 (/.f64 rand #s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
| 97.4% | #s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) | |
| ▶ | 37.2% | #s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
| ▶ | 99.8% | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))) |
| ✓ | 99.8% | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))) |
| 98.1% | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64)))) | |
| ▶ | 99.8% | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) |
| ▶ | 34.6% | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
| 37.2% | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand)) |
Compiled 614 to 395 computations (35.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sqrt.f64 a) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 rand #s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))) | |
| cost-diff | 1 | (fma.f64 (/.f64 rand #s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (-.f64 a #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) | |
| cost-diff | 1 | (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) | |
| cost-diff | 2 | (-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) | |
| cost-diff | 0 | (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) rand) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) | |
| cost-diff | 0 | (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand) | |
| cost-diff | 0 | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) | |
| cost-diff | 0 | (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) | |
| cost-diff | 0 | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))) | |
| cost-diff | 1 | (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 313 |
| 0 | 65 | 304 |
| 1 | 129 | 298 |
| 2 | 239 | 298 |
| 3 | 535 | 298 |
| 4 | 1010 | 298 |
| 5 | 1547 | 298 |
| 6 | 2082 | 298 |
| 7 | 2713 | 298 |
| 8 | 3359 | 298 |
| 9 | 3674 | 298 |
| 10 | 3957 | 298 |
| 11 | 4217 | 298 |
| 12 | 4571 | 298 |
| 13 | 4651 | 298 |
| 14 | 4756 | 298 |
| 15 | 4776 | 298 |
| 16 | 4776 | 298 |
| 17 | 4861 | 298 |
| 18 | 5029 | 298 |
| 0 | 5029 | 291 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))) |
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) |
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) |
(-.f64 a #s(literal 1/3 binary64)) |
a |
#s(literal 1/3 binary64) |
rand |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
(*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand) |
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) |
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) |
(-.f64 a #s(literal 1/3 binary64)) |
a |
#s(literal 1/3 binary64) |
rand |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) rand) |
#s(literal 1/3 binary64) |
rand |
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) |
(-.f64 a #s(literal 1/3 binary64)) |
a |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) |
(-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(-.f64 a #s(literal 1/3 binary64)) |
a |
#s(literal 1/3 binary64) |
(*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) |
(*.f64 #s(literal 1/3 binary64) rand) |
rand |
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) |
(fma.f64 (/.f64 rand #s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
(/.f64 rand #s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))) |
rand |
#s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 a) #s(literal 3 binary64)) |
(sqrt.f64 a) |
a |
#s(literal 3 binary64) |
(-.f64 a #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
| Outputs |
|---|
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (fma.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand #s(literal -1 binary64)) #s(literal 1/3 binary64) a)) |
(fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))) |
(fma.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand #s(literal -1 binary64)) #s(literal 1/3 binary64) a) |
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) |
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) |
(-.f64 a #s(literal 1/3 binary64)) |
a |
#s(literal 1/3 binary64) |
rand |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
(*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand) |
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) |
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) |
(-.f64 a #s(literal 1/3 binary64)) |
a |
#s(literal 1/3 binary64) |
rand |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) rand) |
(*.f64 rand #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
rand |
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) |
(-.f64 a #s(literal 1/3 binary64)) |
a |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (fma.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand #s(literal -1 binary64)) #s(literal 1/3 binary64) a)) |
(-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(fma.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand #s(literal -1 binary64)) #s(literal 1/3 binary64) a) |
(-.f64 a #s(literal 1/3 binary64)) |
a |
#s(literal 1/3 binary64) |
(*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) |
(*.f64 #s(literal -1/3 binary64) rand) |
(*.f64 #s(literal 1/3 binary64) rand) |
(*.f64 rand #s(literal 1/3 binary64)) |
rand |
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) |
(fma.f64 (/.f64 rand #s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
(*.f64 (-.f64 (/.f64 rand #s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))) #s(literal -1 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
(/.f64 rand #s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))) |
rand |
#s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 a) #s(literal 3 binary64)) |
(sqrt.f64 a) |
a |
#s(literal 3 binary64) |
(-.f64 a #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0859375 | (fma.f64 (/.f64 rand #s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64))) | |
| accuracy | 0.234375 | (/.f64 rand #s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))) | |
| accuracy | 0.31640625 | (*.f64 (sqrt.f64 a) #s(literal 3 binary64)) | |
| accuracy | 1.5622052710925538 | #s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) | |
| accuracy | 0.0078125 | (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) | |
| accuracy | 0.01171875 | (-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) | |
| accuracy | 0.3203125 | (*.f64 #s(literal 1/3 binary64) rand) | |
| accuracy | 0.35546875 | (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) | |
| accuracy | 0.0078125 | (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) | |
| accuracy | 0.3203125 | (*.f64 #s(literal 1/3 binary64) rand) | |
| accuracy | 0.35546875 | (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) | |
| accuracy | 40.07857327308546 | #s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) | |
| accuracy | 0.0 | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) | |
| accuracy | 0.03125 | (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) | |
| accuracy | 19.277609980351805 | (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand) | |
| accuracy | 22.587226331126377 | #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) | |
| accuracy | 0.0 | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))) | |
| accuracy | 0.0078125 | (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) | |
| accuracy | 0.08203125 | (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))) | |
| accuracy | 0.23046875 | (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) |
| 99.0ms | 256× | 0 | valid |
Compiled 571 to 84 computations (85.3% saved)
ival-mult: 22.0ms (41.7% of total)ival-sub: 8.0ms (15.1% of total)ival-div: 7.0ms (13.3% of total)ival-sqrt: 7.0ms (13.3% of total)ival-add: 4.0ms (7.6% of total)const: 4.0ms (7.6% of total)ival-neg: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) |
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
(*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand) |
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) |
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) rand) |
(-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) |
(-.f64 a #s(literal 1/3 binary64)) |
(fma.f64 (/.f64 rand #s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
(/.f64 rand #s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))) |
#s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 a) #s(literal 3 binary64)) |
(*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
| Outputs |
|---|
(- (* 1/3 (* rand (sqrt -1/3))) 1/3) |
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3) |
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3) |
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3) |
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3))))))) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))))))))))))) |
(* rand (sqrt -1/3)) |
(+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3))) |
(+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3))) |
(+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3))) |
(sqrt -1/3) |
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3)))) |
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3)))))) |
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3)))))) |
(* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))) |
(+ (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))) |
(+ (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))) |
(+ (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))) |
(- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))) |
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* 1/3 (/ 1 rand))) |
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand))))) (* 1/3 (/ 1 rand))) |
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand))))) (* 1/3 (/ 1 rand))) |
(/ -1/3 rand) |
(- (/ a rand) (* 1/3 (/ 1 rand))) |
(* 1/3 (* rand (sqrt -1/3))) |
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3)))) |
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3)))))) |
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5)))))))) |
(* -1 (+ 1/3 (* -1/3 (* rand (sqrt -1/3))))) |
(- (* a (- 1 (* -1/6 (/ rand (sqrt -1/3))))) (+ 1/3 (* -1/3 (* rand (sqrt -1/3))))) |
(- (* a (- (+ 1 (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3)))) (* -1/6 (/ rand (sqrt -1/3))))) (+ 1/3 (* -1/3 (* rand (sqrt -1/3))))) |
(- (* a (- (+ 1 (* a (- (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))) (* 1/24 (/ rand (pow (sqrt -1/3) 3)))))) (* -1/6 (/ rand (sqrt -1/3))))) (+ 1/3 (* -1/3 (* rand (sqrt -1/3))))) |
-1/3 |
(- a 1/3) |
(* 1/3 (* rand (sqrt -3))) |
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))) |
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))) |
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))) |
(* 3 (sqrt -1/3)) |
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3))) |
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3)))))) |
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3)))))) |
(* 3 (sqrt a)) |
(* -1/3 (* rand (sqrt -1/3))) |
(+ (* -1/3 (* rand (sqrt -1/3))) (* -1/6 (/ (* a rand) (sqrt -1/3)))) |
(+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/6 (/ rand (sqrt -1/3))) (* 1/24 (/ (* a rand) (pow (sqrt -1/3) 3)))))) |
(+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/48 (/ (* a rand) (pow (sqrt -1/3) 5))) (* 1/24 (/ rand (pow (sqrt -1/3) 3)))))))) |
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) |
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a)))) |
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a)))) |
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a)))) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))) |
(* (sqrt a) rand) |
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))) |
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))) |
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand))))) |
(sqrt a) |
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3)))))) |
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5))))))) |
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7)))))))) |
(* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) |
(* a (- (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (* 1/3 (/ 1 a)))) |
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (* 1/3 (/ 1 a)))) |
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))) (* 1/3 (/ 1 a)))) |
(* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) |
(* a (- (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)) (* 1/3 (/ 1 (* a rand))))) |
(* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (/ 1/3 (* a rand)))) |
(* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (/ 1/3 (* a rand)))) |
(/ a rand) |
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand))))) |
(* 1/3 (* (sqrt a) rand)) |
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) |
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) |
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))) |
(* a (- 1 (* -1/3 (* (sqrt (/ 1 a)) rand)))) |
(* a (- 1 (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))))) |
(* a (- (+ 1 (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand))) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))))) |
(* a (- (+ 1 (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand))) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (/ 1 a)))))) |
a |
(* a (- 1 (* 1/3 (/ 1 a)))) |
(* 1/3 (* (sqrt (/ 1 a)) rand)) |
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))) |
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) |
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))) |
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a))))) |
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a)))))) |
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a))))))) |
(* -1/3 (* (sqrt a) rand)) |
(* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)))) |
(* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand))))) |
(* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (+ (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)))))) |
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1))) |
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1))) |
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) |
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a))))) |
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a))))) |
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a))))) |
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) |
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))) |
(* -1 (* (sqrt a) (pow (sqrt -1) 2))) |
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))) |
(* -1 (* a (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))) |
(* -1 (* a (+ (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))) (* 1/3 (/ 1 a))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))) |
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))) |
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* a rand)))) (/ 1 rand)))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand)))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/18 (* (sqrt a) (pow (sqrt -1) 2)))) a)) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand)))) |
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand)))) |
(* -1 (* a (- (* -1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) 1))) |
(* -1 (* a (- (+ (* -1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/3 (/ 1 a))) 1))) |
(* -1 (* a (- (+ (* -1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1 (/ (- (* 1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) 1/3) a))) 1))) |
(* -1 (* a (- (+ (* -1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/72 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)) 1/3) a))) 1))) |
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) |
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))) |
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))) |
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))) |
(* a (+ 1 (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) |
(* -1 (* a (- (* 1/3 (/ 1 a)) (+ 1 (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))) |
(* -1 (* a (- (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (+ 1 (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* -1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (+ 1 (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))) |
(* -1 (* a (- (* 1/3 (/ 1 a)) 1))) |
(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))) |
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) |
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) |
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) |
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1)))) |
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))) |
(* -3 (* (sqrt a) (pow (sqrt -1) 2))) |
(* 1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) |
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2))))))) |
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))))))) |
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (* 1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2))))))))) |
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) |
(* rand (sqrt (- a 1/3))) |
(/ (- a 1/3) rand) |
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand) |
(* 1/3 (* rand (sqrt (- a 1/3)))) |
(* 1/3 rand) |
(* -1/3 rand) |
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))) |
(* -1/3 (* rand (sqrt (- a 1/3)))) |
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))) |
(* 1/3 (sqrt (- a 1/3))) |
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))) |
(* rand (- (/ a rand) (+ (* -1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 rand))))) |
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3)))))) |
(* -1 (* rand (- (* -1 (/ (- a 1/3) rand)) (* 1/3 (sqrt (- a 1/3)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | rand | @ | 0 | ((+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (* (* 1/3 rand) (sqrt (- a 1/3))) (* 1/3 rand) (- (- a 1/3) (* (neg (* 1/3 rand)) (sqrt (- a 1/3)))) (neg (* 1/3 rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a 1/3) (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (/ rand (sqrt (* (- a 1/3) 9))) (sqrt (* (- a 1/3) 9)) (* (sqrt a) 3) (* (neg (* 1/3 rand)) (sqrt (- a 1/3)))) |
| 4.0ms | a | @ | -inf | ((+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (* (* 1/3 rand) (sqrt (- a 1/3))) (* 1/3 rand) (- (- a 1/3) (* (neg (* 1/3 rand)) (sqrt (- a 1/3)))) (neg (* 1/3 rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a 1/3) (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (/ rand (sqrt (* (- a 1/3) 9))) (sqrt (* (- a 1/3) 9)) (* (sqrt a) 3) (* (neg (* 1/3 rand)) (sqrt (- a 1/3)))) |
| 3.0ms | a | @ | inf | ((+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (* (* 1/3 rand) (sqrt (- a 1/3))) (* 1/3 rand) (- (- a 1/3) (* (neg (* 1/3 rand)) (sqrt (- a 1/3)))) (neg (* 1/3 rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a 1/3) (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (/ rand (sqrt (* (- a 1/3) 9))) (sqrt (* (- a 1/3) 9)) (* (sqrt a) 3) (* (neg (* 1/3 rand)) (sqrt (- a 1/3)))) |
| 3.0ms | rand | @ | -inf | ((+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (* (* 1/3 rand) (sqrt (- a 1/3))) (* 1/3 rand) (- (- a 1/3) (* (neg (* 1/3 rand)) (sqrt (- a 1/3)))) (neg (* 1/3 rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a 1/3) (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (/ rand (sqrt (* (- a 1/3) 9))) (sqrt (* (- a 1/3) 9)) (* (sqrt a) 3) (* (neg (* 1/3 rand)) (sqrt (- a 1/3)))) |
| 3.0ms | a | @ | 0 | ((+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (* (* 1/3 rand) (sqrt (- a 1/3))) (* 1/3 rand) (- (- a 1/3) (* (neg (* 1/3 rand)) (sqrt (- a 1/3)))) (neg (* 1/3 rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a 1/3) (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (/ rand (sqrt (* (- a 1/3) 9))) (sqrt (* (- a 1/3) 9)) (* (sqrt a) 3) (* (neg (* 1/3 rand)) (sqrt (- a 1/3)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 719 | 4033 |
| 1 | 2499 | 3422 |
| 0 | 8935 | 3175 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* 1/3 (* rand (sqrt -1/3))) 1/3) |
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3) |
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3) |
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3) |
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3))))))) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))))))))))))) |
(* rand (sqrt -1/3)) |
(+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3))) |
(+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3))) |
(+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3))) |
(sqrt -1/3) |
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3)))) |
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3)))))) |
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3)))))) |
(* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))) |
(+ (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))) |
(+ (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))) |
(+ (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))) |
(- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))) |
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* 1/3 (/ 1 rand))) |
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand))))) (* 1/3 (/ 1 rand))) |
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand))))) (* 1/3 (/ 1 rand))) |
(/ -1/3 rand) |
(- (/ a rand) (* 1/3 (/ 1 rand))) |
(* 1/3 (* rand (sqrt -1/3))) |
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3)))) |
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3)))))) |
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5)))))))) |
(* -1 (+ 1/3 (* -1/3 (* rand (sqrt -1/3))))) |
(- (* a (- 1 (* -1/6 (/ rand (sqrt -1/3))))) (+ 1/3 (* -1/3 (* rand (sqrt -1/3))))) |
(- (* a (- (+ 1 (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3)))) (* -1/6 (/ rand (sqrt -1/3))))) (+ 1/3 (* -1/3 (* rand (sqrt -1/3))))) |
(- (* a (- (+ 1 (* a (- (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))) (* 1/24 (/ rand (pow (sqrt -1/3) 3)))))) (* -1/6 (/ rand (sqrt -1/3))))) (+ 1/3 (* -1/3 (* rand (sqrt -1/3))))) |
-1/3 |
(- a 1/3) |
(* 1/3 (* rand (sqrt -3))) |
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))) |
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))) |
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))) |
(* 3 (sqrt -1/3)) |
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3))) |
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3)))))) |
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3)))))) |
(* 3 (sqrt a)) |
(* -1/3 (* rand (sqrt -1/3))) |
(+ (* -1/3 (* rand (sqrt -1/3))) (* -1/6 (/ (* a rand) (sqrt -1/3)))) |
(+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/6 (/ rand (sqrt -1/3))) (* 1/24 (/ (* a rand) (pow (sqrt -1/3) 3)))))) |
(+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/48 (/ (* a rand) (pow (sqrt -1/3) 5))) (* 1/24 (/ rand (pow (sqrt -1/3) 3)))))))) |
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) |
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a)))) |
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a)))) |
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a)))) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))) |
(* (sqrt a) rand) |
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))) |
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))) |
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand))))) |
(sqrt a) |
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3)))))) |
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5))))))) |
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7)))))))) |
(* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) |
(* a (- (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (* 1/3 (/ 1 a)))) |
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (* 1/3 (/ 1 a)))) |
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))) (* 1/3 (/ 1 a)))) |
(* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) |
(* a (- (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)) (* 1/3 (/ 1 (* a rand))))) |
(* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (/ 1/3 (* a rand)))) |
(* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (/ 1/3 (* a rand)))) |
(/ a rand) |
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand))))) |
(* 1/3 (* (sqrt a) rand)) |
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) |
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) |
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))) |
(* a (- 1 (* -1/3 (* (sqrt (/ 1 a)) rand)))) |
(* a (- 1 (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))))) |
(* a (- (+ 1 (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand))) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))))) |
(* a (- (+ 1 (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand))) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (/ 1 a)))))) |
a |
(* a (- 1 (* 1/3 (/ 1 a)))) |
(* 1/3 (* (sqrt (/ 1 a)) rand)) |
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))) |
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) |
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))) |
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a))))) |
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a)))))) |
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a))))))) |
(* -1/3 (* (sqrt a) rand)) |
(* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)))) |
(* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand))))) |
(* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (+ (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)))))) |
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1))) |
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1))) |
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) |
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a))))) |
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a))))) |
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a))))) |
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) |
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))) |
(* -1 (* (sqrt a) (pow (sqrt -1) 2))) |
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))) |
(* -1 (* a (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))) |
(* -1 (* a (+ (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))) (* 1/3 (/ 1 a))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))) |
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))) |
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* a rand)))) (/ 1 rand)))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand)))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/18 (* (sqrt a) (pow (sqrt -1) 2)))) a)) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand)))) |
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand)))) |
(* -1 (* a (- (* -1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) 1))) |
(* -1 (* a (- (+ (* -1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/3 (/ 1 a))) 1))) |
(* -1 (* a (- (+ (* -1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1 (/ (- (* 1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) 1/3) a))) 1))) |
(* -1 (* a (- (+ (* -1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/72 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)) 1/3) a))) 1))) |
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) |
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))) |
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))) |
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))) |
(* a (+ 1 (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) |
(* -1 (* a (- (* 1/3 (/ 1 a)) (+ 1 (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))) |
(* -1 (* a (- (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (+ 1 (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* -1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (+ 1 (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))) |
(* -1 (* a (- (* 1/3 (/ 1 a)) 1))) |
(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))) |
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) |
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) |
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) |
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1)))) |
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))) |
(* -3 (* (sqrt a) (pow (sqrt -1) 2))) |
(* 1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) |
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2))))))) |
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))))))) |
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (* 1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2))))))))) |
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) |
(* rand (sqrt (- a 1/3))) |
(/ (- a 1/3) rand) |
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand) |
(* 1/3 (* rand (sqrt (- a 1/3)))) |
(* 1/3 rand) |
(* -1/3 rand) |
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))) |
(* -1/3 (* rand (sqrt (- a 1/3)))) |
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))) |
(* 1/3 (sqrt (- a 1/3))) |
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))) |
(* rand (- (/ a rand) (+ (* -1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 rand))))) |
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3)))))) |
(* -1 (* rand (- (* -1 (/ (- a 1/3) rand)) (* 1/3 (sqrt (- a 1/3)))))) |
| Outputs |
|---|
(- (* 1/3 (* rand (sqrt -1/3))) 1/3) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) |
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3) |
(fma.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) a (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))) |
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64))) a (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))) |
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64))) a (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))) |
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) |
(fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64)) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3))))))) |
(fma.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))) a (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))) |
(fma.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 9/8 binary64) rand (*.f64 #s(literal -3/2 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))) a (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))))))))))))) |
(fma.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 45/16 binary64) rand (*.f64 #s(literal -27/8 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))) a (/.f64 (fma.f64 #s(literal 9/8 binary64) rand (*.f64 #s(literal -3/2 binary64) rand)) (sqrt.f64 #s(literal -3 binary64)))) a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64)))) #s(literal 1 binary64)) a (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))) |
(* rand (sqrt -1/3)) |
(*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) |
(+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3))) |
(fma.f64 (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand)) |
(+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3))) |
(fma.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand)) |
(+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 3/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand)) |
(sqrt -1/3) |
(sqrt.f64 #s(literal -1/3 binary64)) |
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3)))) |
(fma.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) |
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3)))))) |
(fma.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (sqrt.f64 #s(literal -1/3 binary64))) |
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)))) a (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (sqrt.f64 #s(literal -1/3 binary64))) |
(* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64) (/.f64 #s(literal -1/3 binary64) rand)) rand) |
(+ (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))) |
(fma.f64 (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64) (/.f64 #s(literal -1/3 binary64) rand)) rand (*.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) rand #s(literal 1 binary64)) a)) |
(+ (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))) |
(fma.f64 (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64) (/.f64 #s(literal -1/3 binary64) rand)) rand (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (fma.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) rand #s(literal 1 binary64))) a)) |
(+ (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (fma.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) rand #s(literal 1 binary64))) a (*.f64 (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64) (/.f64 #s(literal -1/3 binary64) rand)) rand)) |
(- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))) |
(fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64) (/.f64 #s(literal -1/3 binary64) rand)) |
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* 1/3 (/ 1 rand))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64) (/.f64 #s(literal -1/3 binary64) rand))) |
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand))))) (* 1/3 (/ 1 rand))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))))) a (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64) (/.f64 #s(literal -1/3 binary64) rand))) |
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand))))) (* 1/3 (/ 1 rand))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) #s(literal 1/48 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)))) a (-.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))))) a (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64) (/.f64 #s(literal -1/3 binary64) rand))) |
(/ -1/3 rand) |
(/.f64 #s(literal -1/3 binary64) rand) |
(- (/ a rand) (* 1/3 (/ 1 rand))) |
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) |
(* 1/3 (* rand (sqrt -1/3))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)) |
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3)))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) rand (*.f64 (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 1/6 binary64))) |
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3)))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))) |
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))) |
(* -1 (+ 1/3 (* -1/3 (* rand (sqrt -1/3))))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) rand #s(literal -1/3 binary64)) |
(- (* a (- 1 (* -1/6 (/ rand (sqrt -1/3))))) (+ 1/3 (* -1/3 (* rand (sqrt -1/3))))) |
(-.f64 (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) a) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) rand #s(literal 1/3 binary64))) |
(- (* a (- (+ 1 (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3)))) (* -1/6 (/ rand (sqrt -1/3))))) (+ 1/3 (* -1/3 (* rand (sqrt -1/3))))) |
(-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64))) a) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) rand #s(literal 1/3 binary64))) |
(- (* a (- (+ 1 (* a (- (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))) (* 1/24 (/ rand (pow (sqrt -1/3) 3)))))) (* -1/6 (/ rand (sqrt -1/3))))) (+ 1/3 (* -1/3 (* rand (sqrt -1/3))))) |
(-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64))) a) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) rand #s(literal 1/3 binary64))) |
-1/3 |
#s(literal -1/3 binary64) |
(- a 1/3) |
(-.f64 a #s(literal 1/3 binary64)) |
(* 1/3 (* rand (sqrt -3))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64)) |
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))) |
(fma.f64 (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) #s(literal -3/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) |
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -27/8 binary64) rand) a (*.f64 #s(literal -3/2 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) |
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 rand a)) #s(literal 405/8 binary64) (*.f64 #s(literal -27/8 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))) a (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) |
(* 3 (sqrt -1/3)) |
(*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64)) |
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3))) |
(fma.f64 #s(literal 3/2 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) |
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3)))))) |
(fma.f64 (fma.f64 #s(literal 9/8 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) |
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 3/16 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -3/8 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)))) a (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) |
(* 3 (sqrt a)) |
(*.f64 (sqrt.f64 a) #s(literal 3 binary64)) |
(* -1/3 (* rand (sqrt -1/3))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) rand) |
(+ (* -1/3 (* rand (sqrt -1/3))) (* -1/6 (/ (* a rand) (sqrt -1/3)))) |
(fma.f64 (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal -1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) rand)) |
(+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/6 (/ rand (sqrt -1/3))) (* 1/24 (/ (* a rand) (pow (sqrt -1/3) 3)))))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) rand)) |
(+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/48 (/ (* a rand) (pow (sqrt -1/3) 5))) (* 1/24 (/ rand (pow (sqrt -1/3) 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 #s(literal -1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) rand)) |
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) |
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))) a) |
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a)))) |
(*.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/18 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))) a) |
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a)))) |
(*.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)))) a) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)) #s(literal 1 binary64)) a) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (*.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))))) a a) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) #s(literal 0 binary64) (*.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)))))) a a) |
(* (sqrt a) rand) |
(*.f64 (sqrt.f64 a) rand) |
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))) |
(*.f64 (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) a) |
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/72 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) a) |
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand))))) |
(*.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64) (*.f64 #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))) (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) a) |
(sqrt a) |
(sqrt.f64 a) |
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a) |
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5))))))) |
(*.f64 (fma.f64 #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) a) |
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7)))))))) |
(*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64) (fma.f64 #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a) |
(* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) |
(* a (- (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (* 1/3 (/ 1 a)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))) a) |
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (* 1/3 (/ 1 a)))) |
(*.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/18 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))) a) |
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))) (* 1/3 (/ 1 a)))) |
(*.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)))) a) |
(* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) |
(fma.f64 (*.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 a rand)) |
(* a (- (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)) (* 1/3 (/ 1 (* a rand))))) |
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) (/.f64 (/.f64 #s(literal 1/3 binary64) a) rand)) a) |
(* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (/ 1/3 (* a rand)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/18 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) (/.f64 (/.f64 #s(literal 1/3 binary64) a) rand))) a) |
(* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (/ 1/3 (* a rand)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/18 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) (/.f64 (/.f64 #s(literal 1/3 binary64) a) rand)))) a) |
(/ a rand) |
(/.f64 a rand) |
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand))))) |
(+.f64 (/.f64 a rand) (*.f64 a (/.f64 (/.f64 #s(literal -1/3 binary64) a) rand))) |
(* 1/3 (* (sqrt a) rand)) |
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) |
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) |
(*.f64 (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/18 binary64)))) a) |
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64)) rand (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/18 binary64))))) a) |
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))) |
(*.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64) (*.f64 #s(literal -1/1296 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))))) (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/18 binary64))))) a) |
(* a (- 1 (* -1/3 (* (sqrt (/ 1 a)) rand)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) |
(* a (- 1 (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))) a) |
(* a (- (+ 1 (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand))) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))))) |
(*.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/18 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))) a) |
(* a (- (+ 1 (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand))) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (/ 1 a)))))) |
(*.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)))) a) |
a |
(* a (- 1 (* 1/3 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a) |
(* 1/3 (* (sqrt (/ 1 a)) rand)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) |
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))) |
(*.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)))) |
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) |
(fma.f64 (*.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) rand (*.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))))) |
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))) |
(fma.f64 (*.f64 #s(literal 1/54 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) rand)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)))))) |
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))) a) |
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a)))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)))) a) |
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a))))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 #s(literal -1/144 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))))) a) |
(* -1/3 (* (sqrt a) rand)) |
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)) |
(* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)))) |
(*.f64 (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))))) a) |
(* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) rand (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))))))) a) |
(* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (+ (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)))))) |
(*.f64 (fma.f64 rand (fma.f64 #s(literal 1/1296 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 #s(literal 1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))) (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))))))) a) |
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1))) |
(*.f64 (neg.f64 a) (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64))) |
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64)))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/18 binary64)) rand) #s(literal 1/3 binary64)) (neg.f64 a)) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1))) |
(*.f64 (neg.f64 a) (-.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) rand (/.f64 (-.f64 (/.f64 (*.f64 (neg.f64 rand) (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a)))) (neg.f64 a)) #s(literal 1/3 binary64)) (neg.f64 a))) #s(literal 1 binary64))) |
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) |
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(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))) |
(* -3 (* (sqrt a) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 a) #s(literal 3 binary64)) |
(* 1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)) |
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2))))))) |
(*.f64 (neg.f64 a) (*.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))))) |
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) rand (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64)))))) |
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (* 1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2))))))))) |
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 rand) (fma.f64 #s(literal -1/1296 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 #s(literal 1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))) (*.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)))))) |
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) |
(* rand (sqrt (- a 1/3))) |
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) |
(/ (- a 1/3) rand) |
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) |
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) rand) |
(* 1/3 (* rand (sqrt (- a 1/3)))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(* 1/3 rand) |
(*.f64 #s(literal 1/3 binary64) rand) |
(* -1/3 rand) |
(*.f64 #s(literal -1/3 binary64) rand) |
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) rand)) |
(* -1/3 (* rand (sqrt (- a 1/3)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))) |
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand) |
(* 1/3 (sqrt (- a 1/3))) |
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) |
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))) |
(fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) |
(* rand (- (/ a rand) (+ (* -1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 rand))))) |
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand) |
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3)))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (neg.f64 rand))) (neg.f64 rand)) |
(* -1 (* rand (- (* -1 (/ (- a 1/3) rand)) (* 1/3 (sqrt (- a 1/3)))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (neg.f64 rand))) (neg.f64 rand)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 272 |
| 0 | 67 | 263 |
| 1 | 233 | 257 |
| 2 | 1665 | 257 |
| 0 | 8666 | 250 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) |
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
(*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand) |
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) |
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) rand) |
(-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) |
(-.f64 a #s(literal 1/3 binary64)) |
(fma.f64 (/.f64 rand #s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
(/.f64 rand #s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))) |
#s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 a) #s(literal 3 binary64)) |
(*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (*.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64))))) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64))) (-.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)) (+.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64)) (*.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3/2 binary64)) (*.f64 #s(literal -1/3 binary64) rand))) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64)) (*.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3/2 binary64)) (*.f64 #s(literal -1/3 binary64) rand))) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 3 binary64)))) (*.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64)) (*.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3/2 binary64)) (*.f64 #s(literal -1/3 binary64) rand))) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64))) (+.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64)) (*.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3/2 binary64)) (*.f64 #s(literal -1/3 binary64) rand))) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64)) (-.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3/2 binary64))))) (*.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64)) (-.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3/2 binary64))))) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64)) (-.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3/2 binary64))))) (fma.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64)) (-.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3/2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (+.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64))) |
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) (+.f64 a (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64))))) |
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 a a (+.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 a (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64)))) (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64))))) (neg.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64))) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64)) (*.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3/2 binary64)) (*.f64 #s(literal -1/3 binary64) rand))) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64)) (-.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64))) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 3 binary64))) (+.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64)) (*.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3/2 binary64)) (*.f64 #s(literal -1/3 binary64) rand))) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64))) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3/2 binary64)))))) |
(/.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64)) (-.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3/2 binary64)))))) |
(fma.f64 (fabs.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (fabs.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 #s(literal -1/3 binary64) rand))) |
(fma.f64 (fabs.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (fabs.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 #s(literal -1/3 binary64) rand))) |
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand (-.f64 a #s(literal 1/3 binary64))) |
(fma.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 #s(literal -1/3 binary64) rand))) |
(fma.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(fma.f64 (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))) |
(fma.f64 rand (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
(fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
(fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 #s(literal -1/3 binary64) rand))) |
(fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(fma.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 #s(literal -1/3 binary64) rand))) |
(fma.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) |
(-.f64 (/.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64))) (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64))) (-.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))) (/.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)) (+.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64)) (*.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3/2 binary64)) (*.f64 #s(literal -1/3 binary64) rand))) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (+.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64)) (*.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3/2 binary64)) (*.f64 #s(literal -1/3 binary64) rand))) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64))))) |
(-.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)) |
(-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) |
(-.f64 a (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64)) (-.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3/2 binary64)))))) (/.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64)) (-.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3/2 binary64))))))) |
(+.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) |
(+.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 #s(literal -1/3 binary64) rand))) |
(+.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))) |
(*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) |
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(*.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
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(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 a a) #s(literal 1/9 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (sqrt.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)))) (sqrt.f64 (neg.f64 (+.f64 #s(literal 1/3 binary64) a)))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64))) (sqrt.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) |
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
(*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand) |
(*.f64 rand #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))) |
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) |
(/.f64 (-.f64 (*.f64 (neg.f64 a) (neg.f64 rand)) (*.f64 (neg.f64 rand) #s(literal -1/3 binary64))) (*.f64 rand rand)) |
(/.f64 (-.f64 (*.f64 (neg.f64 a) rand) (*.f64 #s(literal -1/3 binary64) rand)) (*.f64 (neg.f64 rand) rand)) |
(/.f64 (-.f64 (*.f64 a (neg.f64 rand)) (*.f64 #s(literal -1/3 binary64) rand)) (*.f64 rand (neg.f64 rand))) |
(/.f64 (-.f64 (neg.f64 a) #s(literal -1/3 binary64)) (neg.f64 rand)) |
(/.f64 (-.f64 (pow.f64 (/.f64 a rand) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) rand) #s(literal 2 binary64))) (+.f64 (/.f64 a rand) (/.f64 #s(literal 1/3 binary64) rand))) |
(/.f64 (-.f64 (pow.f64 (/.f64 a rand) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) rand) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 a rand) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) rand) #s(literal 2 binary64)) (*.f64 (/.f64 a rand) (/.f64 #s(literal 1/3 binary64) rand))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 a #s(literal 1/3 binary64)))) (neg.f64 (neg.f64 rand))) |
(/.f64 (-.f64 (*.f64 a rand) (*.f64 rand #s(literal 1/3 binary64))) (*.f64 rand rand)) |
(/.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (*.f64 (+.f64 #s(literal 1/3 binary64) a) rand)) |
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)) (*.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) rand)) |
(/.f64 (neg.f64 (-.f64 a #s(literal 1/3 binary64))) (neg.f64 rand)) |
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) |
(neg.f64 (/.f64 (neg.f64 (-.f64 a #s(literal 1/3 binary64))) rand)) |
(neg.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (neg.f64 rand))) |
(-.f64 (/.f64 a rand) (/.f64 #s(literal 1/3 binary64) rand)) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand) |
(*.f64 (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 rand (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(neg.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) |
(*.f64 #s(literal -1/3 binary64) (neg.f64 rand)) |
(*.f64 rand #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 rand))) |
(*.f64 #s(literal 1/3 binary64) rand) |
(neg.f64 (*.f64 #s(literal -1/3 binary64) rand)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (*.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64))))) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64))) (-.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))))) |
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(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64)) (-.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3/2 binary64))))) (*.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64)) (-.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3/2 binary64))))) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64)) (-.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3/2 binary64))))) (fma.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(literal 2 binary64)) (-.f64 a #s(literal 1/3 binary64)) (-.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3/2 binary64))))))) |
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(*.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(*.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) |
(neg.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
Compiled 43 953 to 3 224 computations (92.7% saved)
14 alts after pruning (12 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 955 | 9 | 964 |
| Fresh | 2 | 3 | 5 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 961 | 14 | 975 |
| Status | Accuracy | Program |
|---|---|---|
| 36.5% | (fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) #s(approx (- a 1/3) #s(literal -1/3 binary64))) | |
| 36.6% | (fma.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64)) #s(approx (- a 1/3) #s(literal -1/3 binary64))) | |
| 35.0% | (fma.f64 (/.f64 rand #s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) #s(approx (- a 1/3) #s(literal -1/3 binary64))) | |
| 97.4% | #s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) | |
| 37.2% | #s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand)) | |
| ▶ | 37.2% | #s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64))) |
| 35.7% | #s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))) | |
| ▶ | 35.7% | #s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) |
| ▶ | 98.1% | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))) |
| ✓ | 99.8% | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))) |
| ▶ | 98.1% | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))))) |
| ✓ | 34.6% | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
| 1.6% | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 #s(approx (- a 1/3) #s(literal -1/3 binary64)) rand)) rand)) | |
| ▶ | 33.8% | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand)) |
Compiled 781 to 494 computations (36.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 a #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))))) | |
| cost-diff | 1 | (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) | |
| cost-diff | 2 | (-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))) | |
| cost-diff | 0 | (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 a) rand) | |
| cost-diff | 0 | (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (- a 1/3) rand) (/.f64 a rand)) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand) | |
| cost-diff | 0 | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand)) | |
| cost-diff | 0 | #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) | |
| cost-diff | 0 | (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) | |
| cost-diff | 0 | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))) | |
| cost-diff | 1 | (fma.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 364 |
| 0 | 68 | 354 |
| 1 | 130 | 348 |
| 2 | 241 | 348 |
| 3 | 549 | 348 |
| 4 | 1056 | 348 |
| 5 | 1459 | 348 |
| 6 | 1826 | 348 |
| 7 | 2279 | 348 |
| 8 | 2722 | 348 |
| 9 | 3006 | 348 |
| 10 | 3374 | 348 |
| 11 | 3598 | 348 |
| 12 | 3716 | 348 |
| 13 | 3972 | 348 |
| 14 | 3996 | 348 |
| 15 | 4040 | 348 |
| 16 | 4044 | 348 |
| 17 | 4044 | 348 |
| 18 | 4090 | 348 |
| 19 | 4174 | 348 |
| 0 | 4174 | 341 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))) |
(fma.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))) |
(*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) |
#s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) |
(sqrt.f64 a) |
a |
rand |
#s(literal 1/3 binary64) |
(-.f64 a #s(literal 1/3 binary64)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand)) |
(*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand) |
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) |
#s(approx (/ (- a 1/3) rand) (/.f64 a rand)) |
(/.f64 a rand) |
a |
rand |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) |
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) |
(*.f64 (sqrt.f64 a) rand) |
(sqrt.f64 a) |
a |
rand |
#s(literal 1/3 binary64) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
rand |
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) |
(-.f64 a #s(literal 1/3 binary64)) |
a |
#s(literal 1/3 binary64) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))))) |
(-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))) |
(-.f64 a #s(literal 1/3 binary64)) |
a |
#s(literal 1/3 binary64) |
(*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) |
(neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) |
(*.f64 #s(literal 1/3 binary64) rand) |
rand |
#s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) |
(sqrt.f64 a) |
| Outputs |
|---|
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (fma.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand #s(literal -1 binary64)) #s(literal 1/3 binary64) a)) |
(fma.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))) |
(fma.f64 (fma.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand #s(literal -1 binary64)) #s(literal 1/3 binary64) a) |
(*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) |
#s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) |
(sqrt.f64 a) |
a |
rand |
#s(literal 1/3 binary64) |
(-.f64 a #s(literal 1/3 binary64)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand)) |
(*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand) |
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) |
#s(approx (/ (- a 1/3) rand) (/.f64 a rand)) |
(/.f64 a rand) |
a |
rand |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) |
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) |
(*.f64 (sqrt.f64 a) rand) |
(sqrt.f64 a) |
a |
rand |
#s(literal 1/3 binary64) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(*.f64 (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) |
rand |
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) |
(-.f64 a #s(literal 1/3 binary64)) |
a |
#s(literal 1/3 binary64) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (fma.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand #s(literal -1 binary64)) #s(literal 1/3 binary64) a)) |
(-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))) |
(fma.f64 (fma.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand #s(literal -1 binary64)) #s(literal 1/3 binary64) a) |
(-.f64 a #s(literal 1/3 binary64)) |
a |
#s(literal 1/3 binary64) |
(*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) |
(neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) |
(*.f64 #s(literal -1/3 binary64) rand) |
(*.f64 #s(literal 1/3 binary64) rand) |
(*.f64 rand #s(literal 1/3 binary64)) |
rand |
#s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) |
(sqrt.f64 a) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))) | |
| accuracy | 0.3203125 | (*.f64 #s(literal 1/3 binary64) rand) | |
| accuracy | 0.35546875 | (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) | |
| accuracy | 1.5598404919974405 | #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) | |
| accuracy | 0.0078125 | (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) | |
| accuracy | 0.23046875 | (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) | |
| accuracy | 0.34375 | (*.f64 (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)) | |
| accuracy | 40.07857327308546 | #s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64))) | |
| accuracy | 0.23046875 | (*.f64 (sqrt.f64 a) rand) | |
| accuracy | 0.3515625 | (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) | |
| accuracy | 1.5628822112730418 | #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))) | |
| accuracy | 40.07857327308546 | #s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) | |
| accuracy | 0.0 | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand)) | |
| accuracy | 1.6228255853081472 | #s(approx (/ (- a 1/3) rand) (/.f64 a rand)) | |
| accuracy | 19.277609980351805 | (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand) | |
| accuracy | 22.587226331126377 | #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) | |
| accuracy | 0.0 | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))) | |
| accuracy | 0.08203125 | (fma.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))) | |
| accuracy | 0.23046875 | (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) | |
| accuracy | 1.5598404919974405 | #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) |
| 91.0ms | 256× | 0 | valid |
Compiled 624 to 92 computations (85.3% saved)
ival-div: 28.0ms (40.1% of total)ival-mult: 22.0ms (31.5% of total)ival-sqrt: 7.0ms (10% of total)ival-add: 4.0ms (5.7% of total)ival-sub: 4.0ms (5.7% of total)const: 4.0ms (5.7% of total)ival-neg: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))) |
(*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) |
#s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand)) |
(*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand) |
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) |
#s(approx (/ (- a 1/3) rand) (/.f64 a rand)) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) |
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) |
(*.f64 (sqrt.f64 a) rand) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) |
(-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))) |
(neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))))) |
(-.f64 a #s(literal 1/3 binary64)) |
(*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) |
(*.f64 #s(literal 1/3 binary64) rand) |
| Outputs |
|---|
(- (* 1/3 (* rand (sqrt -1/3))) 1/3) |
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3) |
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3) |
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3) |
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3))))))) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))))))))))))) |
(* rand (sqrt -1/3)) |
(+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3))) |
(+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3))) |
(+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3))) |
(sqrt -1/3) |
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3)))) |
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3)))))) |
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3)))))) |
(* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))) |
(+ (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))) |
(+ (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))) |
(+ (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))) |
(- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))) |
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* 1/3 (/ 1 rand))) |
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand))))) (* 1/3 (/ 1 rand))) |
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand))))) (* 1/3 (/ 1 rand))) |
(/ -1/3 rand) |
(- (/ a rand) (* 1/3 (/ 1 rand))) |
(* 1/3 (* rand (sqrt -1/3))) |
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3)))) |
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3)))))) |
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5)))))))) |
(* 1/3 (* (sqrt a) rand)) |
(* (sqrt a) rand) |
(* -1 (+ 1/3 (* -1/3 (* rand (sqrt -1/3))))) |
(- (* a (- 1 (* -1/6 (/ rand (sqrt -1/3))))) (+ 1/3 (* -1/3 (* rand (sqrt -1/3))))) |
(- (* a (- (+ 1 (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3)))) (* -1/6 (/ rand (sqrt -1/3))))) (+ 1/3 (* -1/3 (* rand (sqrt -1/3))))) |
(- (* a (- (+ 1 (* a (- (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))) (* 1/24 (/ rand (pow (sqrt -1/3) 3)))))) (* -1/6 (/ rand (sqrt -1/3))))) (+ 1/3 (* -1/3 (* rand (sqrt -1/3))))) |
-1/3 |
(- a 1/3) |
(* -1/3 (* rand (sqrt -1/3))) |
(+ (* -1/3 (* rand (sqrt -1/3))) (* -1/6 (/ (* a rand) (sqrt -1/3)))) |
(+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/6 (/ rand (sqrt -1/3))) (* 1/24 (/ (* a rand) (pow (sqrt -1/3) 3)))))) |
(+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/48 (/ (* a rand) (pow (sqrt -1/3) 5))) (* 1/24 (/ rand (pow (sqrt -1/3) 3)))))))) |
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) |
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a)))) |
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a)))) |
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a)))) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))) |
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))) |
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))) |
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand))))) |
(sqrt a) |
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3)))))) |
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5))))))) |
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7)))))))) |
(* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) |
(* a (- (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (* 1/3 (/ 1 a)))) |
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (* 1/3 (/ 1 a)))) |
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))) (* 1/3 (/ 1 a)))) |
(* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) |
(* a (- (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)) (* 1/3 (/ 1 (* a rand))))) |
(* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (/ 1/3 (* a rand)))) |
(* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (/ 1/3 (* a rand)))) |
(/ a rand) |
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand))))) |
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) |
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) |
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))) |
(* a (- 1 (* -1/3 (* (sqrt (/ 1 a)) rand)))) |
(* a (- 1 (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))))) |
(* a (- (+ 1 (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand))) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))))) |
(* a (- (+ 1 (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand))) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (/ 1 a)))))) |
a |
(* a (- 1 (* 1/3 (/ 1 a)))) |
(* -1/3 (* (sqrt a) rand)) |
(* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)))) |
(* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand))))) |
(* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (+ (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)))))) |
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1))) |
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1))) |
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) |
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a))))) |
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a))))) |
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a))))) |
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) |
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))) |
(* -1 (* (sqrt a) (pow (sqrt -1) 2))) |
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))) |
(* -1 (* a (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))) |
(* -1 (* a (+ (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))) (* 1/3 (/ 1 a))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))) |
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))) |
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* a rand)))) (/ 1 rand)))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand)))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/18 (* (sqrt a) (pow (sqrt -1) 2)))) a)) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand)))) |
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand)))) |
(* -1 (* a (- (* -1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) 1))) |
(* -1 (* a (- (+ (* -1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/3 (/ 1 a))) 1))) |
(* -1 (* a (- (+ (* -1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1 (/ (- (* 1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) 1/3) a))) 1))) |
(* -1 (* a (- (+ (* -1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/72 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)) 1/3) a))) 1))) |
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) |
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))) |
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))) |
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))) |
(* a (+ 1 (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) |
(* -1 (* a (- (* 1/3 (/ 1 a)) (+ 1 (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))) |
(* -1 (* a (- (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (+ 1 (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* -1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (+ 1 (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))) |
(* -1 (* a (- (* 1/3 (/ 1 a)) 1))) |
(* 1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) |
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2))))))) |
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))))))) |
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (* 1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2))))))))) |
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) |
(* rand (sqrt (- a 1/3))) |
(/ (- a 1/3) rand) |
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand) |
(* 1/3 (* rand (sqrt (- a 1/3)))) |
(* -1/3 rand) |
(* -1/3 (* rand (sqrt (- a 1/3)))) |
(* 1/3 rand) |
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))) |
(* 1/3 (sqrt (- a 1/3))) |
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))) |
(* rand (- (/ a rand) (+ (* -1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 rand))))) |
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3)))))) |
(* -1 (* rand (- (* -1 (/ (- a 1/3) rand)) (* 1/3 (sqrt (- a 1/3)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | rand | @ | -inf | ((+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (* (* 1/3 rand) (sqrt (- a 1/3))) (* (* (sqrt a) rand) 1/3) (* (sqrt a) rand) (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (* (* rand (sqrt (- a 1/3))) 1/3) (* rand (sqrt (- a 1/3))) (sqrt (- a 1/3)) (- (- a 1/3) (* (neg (* 1/3 rand)) (sqrt (- a 1/3)))) (neg (* 1/3 rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a 1/3) (* (neg (* 1/3 rand)) (sqrt (- a 1/3))) (* 1/3 rand)) |
| 2.0ms | a | @ | -inf | ((+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (* (* 1/3 rand) (sqrt (- a 1/3))) (* (* (sqrt a) rand) 1/3) (* (sqrt a) rand) (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (* (* rand (sqrt (- a 1/3))) 1/3) (* rand (sqrt (- a 1/3))) (sqrt (- a 1/3)) (- (- a 1/3) (* (neg (* 1/3 rand)) (sqrt (- a 1/3)))) (neg (* 1/3 rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a 1/3) (* (neg (* 1/3 rand)) (sqrt (- a 1/3))) (* 1/3 rand)) |
| 2.0ms | rand | @ | 0 | ((+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (* (* 1/3 rand) (sqrt (- a 1/3))) (* (* (sqrt a) rand) 1/3) (* (sqrt a) rand) (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (* (* rand (sqrt (- a 1/3))) 1/3) (* rand (sqrt (- a 1/3))) (sqrt (- a 1/3)) (- (- a 1/3) (* (neg (* 1/3 rand)) (sqrt (- a 1/3)))) (neg (* 1/3 rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a 1/3) (* (neg (* 1/3 rand)) (sqrt (- a 1/3))) (* 1/3 rand)) |
| 2.0ms | rand | @ | inf | ((+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (* (* 1/3 rand) (sqrt (- a 1/3))) (* (* (sqrt a) rand) 1/3) (* (sqrt a) rand) (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (* (* rand (sqrt (- a 1/3))) 1/3) (* rand (sqrt (- a 1/3))) (sqrt (- a 1/3)) (- (- a 1/3) (* (neg (* 1/3 rand)) (sqrt (- a 1/3)))) (neg (* 1/3 rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a 1/3) (* (neg (* 1/3 rand)) (sqrt (- a 1/3))) (* 1/3 rand)) |
| 2.0ms | a | @ | 0 | ((+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (* (* 1/3 rand) (sqrt (- a 1/3))) (* (* (sqrt a) rand) 1/3) (* (sqrt a) rand) (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (* (* rand (sqrt (- a 1/3))) 1/3) (* rand (sqrt (- a 1/3))) (sqrt (- a 1/3)) (- (- a 1/3) (* (neg (* 1/3 rand)) (sqrt (- a 1/3)))) (neg (* 1/3 rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a 1/3) (* (neg (* 1/3 rand)) (sqrt (- a 1/3))) (* 1/3 rand)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 612 | 3364 |
| 1 | 2117 | 2847 |
| 0 | 8939 | 2638 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* 1/3 (* rand (sqrt -1/3))) 1/3) |
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3) |
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3) |
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3) |
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3))))))) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))))))))))))) |
(* rand (sqrt -1/3)) |
(+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3))) |
(+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3))) |
(+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3))) |
(sqrt -1/3) |
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3)))) |
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3)))))) |
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3)))))) |
(* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))) |
(+ (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))) |
(+ (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))) |
(+ (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))) |
(- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))) |
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* 1/3 (/ 1 rand))) |
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand))))) (* 1/3 (/ 1 rand))) |
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand))))) (* 1/3 (/ 1 rand))) |
(/ -1/3 rand) |
(- (/ a rand) (* 1/3 (/ 1 rand))) |
(* 1/3 (* rand (sqrt -1/3))) |
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3)))) |
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3)))))) |
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5)))))))) |
(* 1/3 (* (sqrt a) rand)) |
(* (sqrt a) rand) |
(* -1 (+ 1/3 (* -1/3 (* rand (sqrt -1/3))))) |
(- (* a (- 1 (* -1/6 (/ rand (sqrt -1/3))))) (+ 1/3 (* -1/3 (* rand (sqrt -1/3))))) |
(- (* a (- (+ 1 (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3)))) (* -1/6 (/ rand (sqrt -1/3))))) (+ 1/3 (* -1/3 (* rand (sqrt -1/3))))) |
(- (* a (- (+ 1 (* a (- (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))) (* 1/24 (/ rand (pow (sqrt -1/3) 3)))))) (* -1/6 (/ rand (sqrt -1/3))))) (+ 1/3 (* -1/3 (* rand (sqrt -1/3))))) |
-1/3 |
(- a 1/3) |
(* -1/3 (* rand (sqrt -1/3))) |
(+ (* -1/3 (* rand (sqrt -1/3))) (* -1/6 (/ (* a rand) (sqrt -1/3)))) |
(+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/6 (/ rand (sqrt -1/3))) (* 1/24 (/ (* a rand) (pow (sqrt -1/3) 3)))))) |
(+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/48 (/ (* a rand) (pow (sqrt -1/3) 5))) (* 1/24 (/ rand (pow (sqrt -1/3) 3)))))))) |
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) |
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a)))) |
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a)))) |
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a)))) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))) |
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))) |
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))) |
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand))))) |
(sqrt a) |
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3)))))) |
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5))))))) |
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7)))))))) |
(* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) |
(* a (- (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (* 1/3 (/ 1 a)))) |
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (* 1/3 (/ 1 a)))) |
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))) (* 1/3 (/ 1 a)))) |
(* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) |
(* a (- (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)) (* 1/3 (/ 1 (* a rand))))) |
(* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (/ 1/3 (* a rand)))) |
(* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (/ 1/3 (* a rand)))) |
(/ a rand) |
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand))))) |
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) |
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) |
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))) |
(* a (- 1 (* -1/3 (* (sqrt (/ 1 a)) rand)))) |
(* a (- 1 (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))))) |
(* a (- (+ 1 (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand))) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))))) |
(* a (- (+ 1 (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand))) (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (/ 1 a)))))) |
a |
(* a (- 1 (* 1/3 (/ 1 a)))) |
(* -1/3 (* (sqrt a) rand)) |
(* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)))) |
(* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand))))) |
(* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (+ (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)))))) |
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1))) |
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1))) |
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) |
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a))))) |
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a))))) |
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a))))) |
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) |
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))) |
(* -1 (* (sqrt a) (pow (sqrt -1) 2))) |
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))) |
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))) |
(* -1 (* a (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))) |
(* -1 (* a (+ (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))) (* 1/3 (/ 1 a))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))) |
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))) |
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* a rand)))) (/ 1 rand)))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand)))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/18 (* (sqrt a) (pow (sqrt -1) 2)))) a)) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand)))) |
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand)))) |
(* -1 (* a (- (* -1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) 1))) |
(* -1 (* a (- (+ (* -1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/3 (/ 1 a))) 1))) |
(* -1 (* a (- (+ (* -1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1 (/ (- (* 1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) 1/3) a))) 1))) |
(* -1 (* a (- (+ (* -1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/72 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)) 1/3) a))) 1))) |
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) |
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))) |
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))) |
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))) |
(* a (+ 1 (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) |
(* -1 (* a (- (* 1/3 (/ 1 a)) (+ 1 (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))) |
(* -1 (* a (- (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (+ 1 (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* -1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (+ 1 (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))) |
(* -1 (* a (- (* 1/3 (/ 1 a)) 1))) |
(* 1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) |
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2))))))) |
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))))))) |
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (* 1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2))))))))) |
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) |
(* rand (sqrt (- a 1/3))) |
(/ (- a 1/3) rand) |
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand) |
(* 1/3 (* rand (sqrt (- a 1/3)))) |
(* -1/3 rand) |
(* -1/3 (* rand (sqrt (- a 1/3)))) |
(* 1/3 rand) |
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))) |
(* 1/3 (sqrt (- a 1/3))) |
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))) |
(* rand (- (/ a rand) (+ (* -1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 rand))))) |
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3)))))) |
(* -1 (* rand (- (* -1 (/ (- a 1/3) rand)) (* 1/3 (sqrt (- a 1/3)))))) |
| Outputs |
|---|
(- (* 1/3 (* rand (sqrt -1/3))) 1/3) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) |
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3) |
(fma.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) a (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))) |
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64))) a (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))) |
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64))) a (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))) |
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) |
(fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64)) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3))))))) |
(fma.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))) a (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))) |
(fma.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 9/8 binary64) rand (*.f64 #s(literal -3/2 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))) a (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))) |
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))))))))))))) |
(fma.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 45/16 binary64) rand (*.f64 #s(literal -27/8 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))) a (/.f64 (fma.f64 #s(literal 9/8 binary64) rand (*.f64 #s(literal -3/2 binary64) rand)) (sqrt.f64 #s(literal -3 binary64)))) a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64)))) #s(literal 1 binary64)) a (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))) |
(* rand (sqrt -1/3)) |
(*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) |
(+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3))) |
(fma.f64 (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand)) |
(+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3))) |
(fma.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand)) |
(+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (*.f64 #s(literal 1/16 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))))) a (*.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand)) |
(sqrt -1/3) |
(sqrt.f64 #s(literal -1/3 binary64)) |
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3)))) |
(fma.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) |
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3)))))) |
(fma.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (sqrt.f64 #s(literal -1/3 binary64))) |
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)))) a (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (sqrt.f64 #s(literal -1/3 binary64))) |
(* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64) (/.f64 #s(literal -1/3 binary64) rand)) rand) |
(+ (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))) |
(fma.f64 (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64) (/.f64 #s(literal -1/3 binary64) rand)) rand (*.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) rand #s(literal 1 binary64)) a)) |
(+ (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))) |
(fma.f64 (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64) (/.f64 #s(literal -1/3 binary64) rand)) rand (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (fma.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) rand #s(literal 1 binary64))) a)) |
(+ (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (fma.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) rand #s(literal 1 binary64))) a (*.f64 (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64) (/.f64 #s(literal -1/3 binary64) rand)) rand)) |
(- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))) |
(fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64) (/.f64 #s(literal -1/3 binary64) rand)) |
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* 1/3 (/ 1 rand))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64) (/.f64 #s(literal -1/3 binary64) rand))) |
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand))))) (* 1/3 (/ 1 rand))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))))) a (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64) (/.f64 #s(literal -1/3 binary64) rand))) |
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand))))) (* 1/3 (/ 1 rand))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) #s(literal 1/48 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)))) a (-.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))))) a (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64) (/.f64 #s(literal -1/3 binary64) rand))) |
(/ -1/3 rand) |
(/.f64 #s(literal -1/3 binary64) rand) |
(- (/ a rand) (* 1/3 (/ 1 rand))) |
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) |
(* 1/3 (* rand (sqrt -1/3))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)) |
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3)))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) rand (*.f64 (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 1/6 binary64))) |
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3)))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))) |
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))) |
(* 1/3 (* (sqrt a) rand)) |
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) |
(* (sqrt a) rand) |
(*.f64 (sqrt.f64 a) rand) |
(* -1 (+ 1/3 (* -1/3 (* rand (sqrt -1/3))))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) rand #s(literal -1/3 binary64)) |
(- (* a (- 1 (* -1/6 (/ rand (sqrt -1/3))))) (+ 1/3 (* -1/3 (* rand (sqrt -1/3))))) |
(fma.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) a (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))) |
(- (* a (- (+ 1 (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3)))) (* -1/6 (/ rand (sqrt -1/3))))) (+ 1/3 (* -1/3 (* rand (sqrt -1/3))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64))) a (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))) |
(- (* a (- (+ 1 (* a (- (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))) (* 1/24 (/ rand (pow (sqrt -1/3) 3)))))) (* -1/6 (/ rand (sqrt -1/3))))) (+ 1/3 (* -1/3 (* rand (sqrt -1/3))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64))) a (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))) |
-1/3 |
#s(literal -1/3 binary64) |
(- a 1/3) |
(-.f64 a #s(literal 1/3 binary64)) |
(* -1/3 (* rand (sqrt -1/3))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) rand) |
(+ (* -1/3 (* rand (sqrt -1/3))) (* -1/6 (/ (* a rand) (sqrt -1/3)))) |
(fma.f64 (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal -1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) rand)) |
(+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/6 (/ rand (sqrt -1/3))) (* 1/24 (/ (* a rand) (pow (sqrt -1/3) 3)))))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) rand)) |
(+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/48 (/ (* a rand) (pow (sqrt -1/3) 5))) (* 1/24 (/ rand (pow (sqrt -1/3) 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 #s(literal -1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) rand)) |
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)) a) |
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))) a) |
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a)))) |
(*.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/18 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))) a) |
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a)))) |
(+.f64 a (*.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal -1/3 binary64) a))) a)) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)) a) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)) #s(literal 1 binary64)) a) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (*.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))))) a a) |
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) #s(literal 0 binary64) (*.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)))))) a a) |
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))) |
(*.f64 (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) a) |
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/72 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) a) |
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand))))) |
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(sqrt a) |
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a |
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(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* a rand)))) (/ 1 rand)))) |
(*.f64 (neg.f64 a) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) a) rand)) (/.f64 #s(literal 1 binary64) rand))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand)))) |
(*.f64 (neg.f64 a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (-.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/18 binary64) (/.f64 #s(literal -1/3 binary64) rand)) (neg.f64 a)) (/.f64 #s(literal 1 binary64) rand)))) |
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/18 (* (sqrt a) (pow (sqrt -1) 2)))) a)) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand)))) |
(*.f64 (neg.f64 a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 a))) (neg.f64 a)) (/.f64 #s(literal 1/3 binary64) rand)) (neg.f64 a)) (/.f64 #s(literal 1 binary64) rand)))) |
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand)))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) a) rand) (/.f64 #s(literal 1 binary64) rand))) |
(* -1 (* a (- (* -1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) 1))) |
(*.f64 (neg.f64 a) (-.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64)))) #s(literal 1 binary64))) |
(* -1 (* a (- (+ (* -1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/3 (/ 1 a))) 1))) |
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64)))) |
(* -1 (* a (- (+ (* -1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1 (/ (- (* 1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) 1/3) a))) 1))) |
(*.f64 (neg.f64 a) (-.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 1/3 binary64)) a))) #s(literal 1 binary64))) |
(* -1 (* a (- (+ (* -1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/72 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)) 1/3) a))) 1))) |
(*.f64 (neg.f64 a) (-.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (-.f64 (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (fma.f64 #s(literal 1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 a)))) (neg.f64 a)) #s(literal 1/3 binary64)) a))) #s(literal 1 binary64))) |
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) |
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))) |
(*.f64 (neg.f64 a) (*.f64 (neg.f64 rand) (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))))) |
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/18 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (*.f64 #s(literal 1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))))))) |
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))) |
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 rand) (fma.f64 #s(literal 1/1296 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))))) (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (*.f64 #s(literal 1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))))))) |
(* a (+ 1 (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)) a) |
(* -1 (* a (- (* 1/3 (/ 1 a)) (+ 1 (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64)))) |
(* -1 (* a (- (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (+ 1 (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/18 binary64)) rand) #s(literal 1/3 binary64)) (neg.f64 a)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* -1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (+ 1 (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))) |
(*.f64 (neg.f64 a) (-.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) rand (/.f64 (-.f64 (/.f64 (*.f64 (neg.f64 rand) (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a)))) (neg.f64 a)) #s(literal 1/3 binary64)) (neg.f64 a))) #s(literal 1 binary64))) |
(* -1 (* a (- (* 1/3 (/ 1 a)) 1))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64))) |
(* 1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64)) |
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2))))))) |
(*.f64 (neg.f64 a) (*.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))))) |
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) rand (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64)))))) |
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (* 1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2))))))))) |
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/18 binary64) (*.f64 #s(literal -1/1296 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))))) (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64)))))) |
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) |
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) |
(* rand (sqrt (- a 1/3))) |
(*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(/ (- a 1/3) rand) |
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) |
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand) |
(/.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) rand) |
(* 1/3 (* rand (sqrt (- a 1/3)))) |
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(* -1/3 rand) |
(*.f64 #s(literal -1/3 binary64) rand) |
(* -1/3 (* rand (sqrt (- a 1/3)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(* 1/3 rand) |
(*.f64 rand #s(literal 1/3 binary64)) |
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))) |
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand) |
(* 1/3 (sqrt (- a 1/3))) |
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) |
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))) |
(fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) |
(* rand (- (/ a rand) (+ (* -1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 rand))))) |
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand) |
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3)))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (neg.f64 rand))) (neg.f64 rand)) |
(* -1 (* rand (- (* -1 (/ (- a 1/3) rand)) (* 1/3 (sqrt (- a 1/3)))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (neg.f64 rand))) (neg.f64 rand)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 328 |
| 0 | 68 | 318 |
| 1 | 221 | 312 |
| 2 | 1500 | 312 |
| 0 | 8348 | 304 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))) |
(*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) |
#s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand)) |
(*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand) |
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) |
#s(approx (/ (- a 1/3) rand) (/.f64 a rand)) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) |
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) |
(*.f64 (sqrt.f64 a) rand) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) |
(-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))) |
(neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))))) |
(-.f64 a #s(literal 1/3 binary64)) |
(*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) |
(*.f64 #s(literal 1/3 binary64) rand) |
| Outputs |
|---|
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) #s(literal 3 binary64)) (fma.f64 (-.f64 a #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64))) (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 a #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64))) (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) #s(literal 3 binary64)) (fma.f64 (-.f64 a #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64))) (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) #s(literal 3 binary64)) (fma.f64 (-.f64 a #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64))) (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 a #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64))) (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 a #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64))) (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) #s(literal 3 binary64)) (fma.f64 (-.f64 a #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64))) (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 a #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64))) (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) #s(literal 2 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) (*.f64 #s(literal -1/3 binary64) rand)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) (*.f64 #s(literal -1/3 binary64) rand)) (*.f64 (neg.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) (*.f64 #s(literal -1/3 binary64) rand))) (*.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) (*.f64 #s(literal -1/3 binary64) rand)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 a (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (neg.f64 (+.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a) #s(literal 1/3 binary64)))) |
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(-.f64 (/.f64 (*.f64 a a) (+.f64 a (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (+.f64 a (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a) #s(literal 2 binary64)) (+.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a) #s(literal 1/3 binary64)))) |
(-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 a (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64)))))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (fma.f64 a a (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 a (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64))))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a) #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a) #s(literal 1/3 binary64))))) (/.f64 #s(literal 1/27 binary64) (+.f64 (pow.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a) #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a) #s(literal 1/3 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) (-.f64 a #s(literal 1/3 binary64)))) (/.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) (-.f64 a #s(literal 1/3 binary64))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64))) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64))) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64))))) |
(-.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a) #s(literal 1/3 binary64)) |
(-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 rand #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))) #s(literal 1/3 binary64))) |
(-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) (*.f64 rand #s(literal 1/3 binary64)))) |
(-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))) |
(-.f64 a (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) (-.f64 a #s(literal 1/3 binary64)))))) (/.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) (-.f64 a #s(literal 1/3 binary64))))))) |
(+.f64 (/.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) (-.f64 a #s(literal 1/3 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) (-.f64 a #s(literal 1/3 binary64))))))) |
(+.f64 (/.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 a #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64))) (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) #s(literal 3 binary64)) (fma.f64 (-.f64 a #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64))) (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) #s(literal 3 binary64)) (fma.f64 (-.f64 a #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64))) (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 a #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64))) (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) (-.f64 a #s(literal 1/3 binary64)))) (/.f64 (*.f64 (neg.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) (-.f64 a #s(literal 1/3 binary64))))) |
(+.f64 (/.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) (*.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64))))) |
(+.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) (-.f64 a #s(literal 1/3 binary64))) |
(+.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) (*.f64 #s(literal -1/3 binary64) rand))) |
(+.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64)))) |
(*.f64 rand #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) |
(*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) |
#s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand)) |
(*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand) |
(*.f64 rand #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand)))) |
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) |
#s(approx (/ (- a 1/3) rand) (/.f64 a rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))) |
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand) |
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) |
(*.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) |
(*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) |
(*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) |
(*.f64 rand (sqrt.f64 a)) |
(*.f64 (sqrt.f64 a) rand) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(*.f64 (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand) |
(*.f64 rand (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
(*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) |
(*.f64 (neg.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(*.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 a a) #s(literal 1/9 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (sqrt.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)))) (sqrt.f64 (neg.f64 (+.f64 #s(literal 1/3 binary64) a)))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64))) (sqrt.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) |
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64))) (neg.f64 (+.f64 #s(literal 1/3 binary64) a))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) |
(/.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) a)) |
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) |
(sqrt.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a))) |
(-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) |
(-.f64 a #s(literal 1/3 binary64)) |
(fabs.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)))) |
(fabs.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))))) |
(fabs.f64 (-.f64 #s(literal 1/3 binary64) a)) |
(fabs.f64 (neg.f64 (-.f64 a #s(literal 1/3 binary64)))) |
(fabs.f64 (-.f64 a #s(literal 1/3 binary64))) |
(exp.f64 (fma.f64 (log.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/2 binary64) (*.f64 (log.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal -1/3 binary64)) rand) |
(*.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64)) (neg.f64 rand)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 rand #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) |
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (neg.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))) |
(*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (*.f64 #s(literal -1/3 binary64) rand)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))) |
(neg.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))) |
(*.f64 #s(literal -1/3 binary64) (neg.f64 rand)) |
(*.f64 rand #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 rand))) |
(*.f64 #s(literal 1/3 binary64) rand) |
(neg.f64 (*.f64 #s(literal -1/3 binary64) rand)) |
Compiled 20 070 to 1 732 computations (91.4% saved)
15 alts after pruning (9 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 414 | 3 | 417 |
| Fresh | 1 | 6 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 416 | 15 | 431 |
| Status | Accuracy | Program |
|---|---|---|
| 36.5% | (fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) #s(approx (- a 1/3) #s(literal -1/3 binary64))) | |
| 36.6% | (fma.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64)) #s(approx (- a 1/3) #s(literal -1/3 binary64))) | |
| 35.0% | (fma.f64 (/.f64 rand #s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) #s(approx (- a 1/3) #s(literal -1/3 binary64))) | |
| 97.4% | #s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) | |
| ✓ | 37.2% | #s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64))) |
| 37.2% | #s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) | |
| 35.7% | #s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))) | |
| ✓ | 35.7% | #s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) |
| 35.7% | #s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) | |
| ✓ | 98.1% | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))) |
| ✓ | 99.8% | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))) |
| 98.1% | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64)))) | |
| ✓ | 34.6% | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
| 1.6% | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 #s(approx (- a 1/3) #s(literal -1/3 binary64)) rand)) rand)) | |
| ✓ | 33.8% | #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand)) |
Compiled 1 365 to 424 computations (68.9% saved)
| Inputs |
|---|
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 #s(approx (- a 1/3) #s(literal -1/3 binary64)) rand)) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) |
(fma.f64 (/.f64 rand #s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) #s(approx (- a 1/3) #s(literal -1/3 binary64))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
(*.f64 (fma.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
(fma.f64 (/.f64 rand #s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
(fma.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64)) #s(approx (- a 1/3) #s(literal -1/3 binary64))) |
(fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) #s(approx (- a 1/3) #s(literal -1/3 binary64))) |
(fma.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
(fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
(fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)) (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) |
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))) |
| Outputs |
|---|
(fma.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
4 calls:
| 30.0ms | (*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))) |
| 9.0ms | (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 9.0ms | rand |
| 9.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | a |
| 99.8% | 1 | rand |
| 99.8% | 1 | (*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))) |
| 99.8% | 1 | (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
Compiled 27 to 23 computations (14.8% saved)
| Inputs |
|---|
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 #s(approx (- a 1/3) #s(literal -1/3 binary64)) rand)) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) |
(fma.f64 (/.f64 rand #s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) #s(approx (- a 1/3) #s(literal -1/3 binary64))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
(*.f64 (fma.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
(fma.f64 (/.f64 rand #s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
(fma.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64)) #s(approx (- a 1/3) #s(literal -1/3 binary64))) |
(fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) #s(approx (- a 1/3) #s(literal -1/3 binary64))) |
| Outputs |
|---|
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))) |
4 calls:
| 28.0ms | a |
| 17.0ms | (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 8.0ms | (*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))) |
| 7.0ms | rand |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | a |
| 99.8% | 1 | rand |
| 99.8% | 1 | (*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))) |
| 99.8% | 1 | (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
Compiled 27 to 23 computations (14.8% saved)
| Inputs |
|---|
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 #s(approx (- a 1/3) #s(literal -1/3 binary64)) rand)) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))) |
| Outputs |
|---|
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))) |
4 calls:
| 7.0ms | rand |
| 5.0ms | (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 5.0ms | a |
| 5.0ms | (*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | a |
| 99.8% | 1 | rand |
| 99.8% | 1 | (*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))) |
| 99.8% | 1 | (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
Compiled 27 to 23 computations (14.8% saved)
| Inputs |
|---|
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 #s(approx (- a 1/3) #s(literal -1/3 binary64)) rand)) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))) |
| Outputs |
|---|
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))) |
4 calls:
| 6.0ms | (*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))) |
| 5.0ms | (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 5.0ms | a |
| 5.0ms | rand |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | a |
| 98.1% | 1 | rand |
| 98.1% | 1 | (*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))) |
| 98.1% | 1 | (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
Compiled 27 to 23 computations (14.8% saved)
| Inputs |
|---|
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 #s(approx (- a 1/3) #s(literal -1/3 binary64)) rand)) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64)))) |
| Outputs |
|---|
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64)))) |
4 calls:
| 6.0ms | (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 5.0ms | (*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))) |
| 5.0ms | a |
| 5.0ms | rand |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | a |
| 98.1% | 1 | rand |
| 98.1% | 1 | (*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))) |
| 98.1% | 1 | (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
Compiled 27 to 23 computations (14.8% saved)
| Inputs |
|---|
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 #s(approx (- a 1/3) #s(literal -1/3 binary64)) rand)) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand)) |
| Outputs |
|---|
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64))) |
4 calls:
| 4.0ms | (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 4.0ms | (*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))) |
| 4.0ms | a |
| 4.0ms | rand |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.8% | 2 | a |
| 65.2% | 3 | rand |
| 59.3% | 3 | (*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))) |
| 41.8% | 2 | (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
Compiled 27 to 23 computations (14.8% saved)
| Inputs |
|---|
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 #s(approx (- a 1/3) #s(literal -1/3 binary64)) rand)) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) |
| Outputs |
|---|
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand)) |
1 calls:
| 4.0ms | rand |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.2% | 3 | rand |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 #s(approx (- a 1/3) #s(literal -1/3 binary64)) rand)) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))) |
| Outputs |
|---|
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) |
1 calls:
| 21.0ms | rand |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.0% | 3 | rand |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 #s(approx (- a 1/3) #s(literal -1/3 binary64)) rand)) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) |
| Outputs |
|---|
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) |
1 calls:
| 2.0ms | rand |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.0% | 3 | rand |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 #s(approx (- a 1/3) #s(literal -1/3 binary64)) rand)) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
| Outputs |
|---|
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
4 calls:
| 2.0ms | (*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))) |
| 2.0ms | rand |
| 2.0ms | (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 2.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.6% | 1 | a |
| 34.6% | 1 | (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 34.6% | 1 | (*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))) |
| 34.6% | 1 | rand |
Compiled 27 to 23 computations (14.8% saved)
Total -21.1b remaining (-49.7%)
Threshold costs -21.1b (-49.7%)
| Inputs |
|---|
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 #s(approx (- a 1/3) #s(literal -1/3 binary64)) rand)) rand)) |
| Outputs |
|---|
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand)) |
4 calls:
| 1.0ms | (*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))) |
| 1.0ms | (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 1.0ms | rand |
| 1.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.8% | 1 | a |
| 33.8% | 1 | (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 33.8% | 1 | (*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))) |
| 33.8% | 1 | rand |
Compiled 27 to 23 computations (14.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 2.513210573994779e+84 | 1.766305466426309e+91 |
| 39.0ms | -2.7167728994522206e+80 | -1.5321682910212537e+66 |
| 42.0ms | 304× | 0 | valid |
Compiled 1 447 to 935 computations (35.4% saved)
ival-mult: 5.0ms (33.8% of total)ival-div: 4.0ms (27% of total)ival-sqrt: 2.0ms (13.5% of total)ival-sub: 1.0ms (6.8% of total)ival-add: 1.0ms (6.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.513210573994779e+84 | 1.766305466426309e+91 |
| 2.0ms | -2.7167728994522206e+80 | -1.5321682910212537e+66 |
Compiled 1 600 to 1 025 computations (35.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.513210573994779e+84 | 1.766305466426309e+91 |
| 8.0ms | -2.7167728994522206e+80 | -1.5321682910212537e+66 |
| 5.0ms | 64× | 0 | valid |
Compiled 1 410 to 892 computations (36.7% saved)
ival-div: 1.0ms (31.3% of total)ival-mult: 1.0ms (31.3% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.513210573994779e+84 | 1.766305466426309e+91 |
| 1.0ms | -2.7167728994522206e+80 | -1.5321682910212537e+66 |
Compiled 1 410 to 892 computations (36.7% saved)
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 582 |
| 1 | 129 | 558 |
| 2 | 205 | 558 |
| 3 | 384 | 558 |
| 4 | 663 | 558 |
| 5 | 988 | 558 |
| 6 | 1575 | 558 |
| 7 | 2068 | 558 |
| 8 | 2305 | 558 |
| 9 | 3292 | 558 |
| 10 | 6282 | 558 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64)))) |
(if (<=.f64 rand #s(literal -12499999999999999784782659069323232093468455589251987194246890027226394263552 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand)) (if (<=.f64 rand #s(literal 6800000000000000430772552214536198407464573706776876120747784016933169924708970610556928 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) #s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64))))) |
(if (<=.f64 rand #s(literal -12499999999999999784782659069323232093468455589251987194246890027226394263552 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand)) (if (<=.f64 rand #s(literal 6800000000000000430772552214536198407464573706776876120747784016933169924708970610556928 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand)))) |
(if (<=.f64 rand #s(literal -22000000000000000392547741206324220744646286160841546672531963463659014848512 binary64)) #s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (if (<=.f64 rand #s(literal 6800000000000000430772552214536198407464573706776876120747784016933169924708970610556928 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) #s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))))) |
(if (<=.f64 rand #s(literal -22000000000000000392547741206324220744646286160841546672531963463659014848512 binary64)) #s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (if (<=.f64 rand #s(literal 6800000000000000430772552214536198407464573706776876120747784016933169924708970610556928 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) #s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand)) |
| Outputs |
|---|
(fma.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a (fma.f64 (*.f64 #s(literal -1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64)))) |
(if (<=.f64 rand #s(literal -12499999999999999784782659069323232093468455589251987194246890027226394263552 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand)) (if (<=.f64 rand #s(literal 6800000000000000430772552214536198407464573706776876120747784016933169924708970610556928 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) #s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (*.f64 (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64))))) |
(if (<=.f64 rand #s(literal -12499999999999999784782659069323232093468455589251987194246890027226394263552 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand)) (if (<=.f64 rand #s(literal 6800000000000000430772552214536198407464573706776876120747784016933169924708970610556928 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64))))) |
(if (<=.f64 rand #s(literal -12499999999999999784782659069323232093468455589251987194246890027226394263552 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand)) (if (<=.f64 rand #s(literal 6800000000000000430772552214536198407464573706776876120747784016933169924708970610556928 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand)))) |
(if (or (<=.f64 rand #s(literal -12499999999999999784782659069323232093468455589251987194246890027226394263552 binary64)) (not (<=.f64 rand #s(literal 6800000000000000430772552214536198407464573706776876120747784016933169924708970610556928 binary64)))) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))) |
(if (<=.f64 rand #s(literal -22000000000000000392547741206324220744646286160841546672531963463659014848512 binary64)) #s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (if (<=.f64 rand #s(literal 6800000000000000430772552214536198407464573706776876120747784016933169924708970610556928 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) #s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))))) |
(if (<=.f64 rand #s(literal -22000000000000000392547741206324220744646286160841546672531963463659014848512 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (if (<=.f64 rand #s(literal 6800000000000000430772552214536198407464573706776876120747784016933169924708970610556928 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))))) |
(if (<=.f64 rand #s(literal -22000000000000000392547741206324220744646286160841546672531963463659014848512 binary64)) #s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (if (<=.f64 rand #s(literal 6800000000000000430772552214536198407464573706776876120747784016933169924708970610556928 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) #s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))))) |
(if (or (<=.f64 rand #s(literal -22000000000000000392547741206324220744646286160841546672531963463659014848512 binary64)) (not (<=.f64 rand #s(literal 6800000000000000430772552214536198407464573706776876120747784016933169924708970610556928 binary64)))) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)) |
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 49 |
| 0 | 22 | 49 |
| 1 | 76 | 43 |
| 2 | 504 | 43 |
| 3 | 7155 | 43 |
| 0 | 8164 | 42 |
| 0 | 49 | 328 |
| 0 | 68 | 318 |
| 1 | 221 | 312 |
| 2 | 1500 | 312 |
| 0 | 8348 | 304 |
| 0 | 599 | 2955 |
| 1 | 2037 | 2483 |
| 0 | 8686 | 2309 |
| 0 | 37 | 200 |
| 0 | 60 | 199 |
| 1 | 222 | 193 |
| 2 | 1667 | 193 |
| 0 | 8198 | 189 |
| 0 | 339 | 1584 |
| 1 | 1141 | 1337 |
| 2 | 5043 | 1320 |
| 0 | 8009 | 1225 |
| 0 | 44 | 272 |
| 0 | 67 | 263 |
| 1 | 233 | 257 |
| 2 | 1665 | 257 |
| 0 | 8666 | 250 |
| 0 | 719 | 4033 |
| 1 | 2499 | 3422 |
| 0 | 8935 | 3175 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 269 to 436 computations (65.6% saved)
Compiled 1 348 to 194 computations (85.6% saved)
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