
Time bar (total: 12.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 3 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 4 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 5 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 6 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 7 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 8 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 9 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 10 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 11 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 12 |
Compiled 16 to 11 computations (31.3% saved)
| 1.4s | 3 767× | 3 | valid |
| 698.0ms | 8 424× | 0 | invalid |
| 556.0ms | 2 049× | 2 | valid |
| 422.0ms | 2 159× | 1 | valid |
| 20.0ms | 281× | 0 | valid |
ival-acos: 632.0ms (26.3% of total)adjust: 476.0ms (19.8% of total)ival-mult: 440.0ms (18.3% of total)ival-sub: 413.0ms (17.2% of total)ival-div: 405.0ms (16.9% of total)exact: 16.0ms (0.7% of total)ival-true: 14.0ms (0.6% of total)ival-assert: 7.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 6 | 249 | (-3.7973685724473444e-151) | 0 | - | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
| 0 | 1 | (-8.667468057254226e-163) | 0 | - | (*.f64 #s(literal 5 binary64) (*.f64 v v)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 v v) |
| 0 | 0 | - | 0 | - | #s(literal 5 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | v |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 v v) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
acos.f64 | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) | sensitivity | 255 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 6 | 0 |
| - | 249 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 6 | 0 | 0 |
| - | 249 | 0 | 1 |
| number | freq |
|---|---|
| 0 | 1 |
| 1 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 123.0ms | 230× | 3 | valid |
| 108.0ms | 132× | 2 | valid |
| 24.0ms | 136× | 1 | valid |
| 1.0ms | 14× | 0 | valid |
Compiled 168 to 40 computations (76.2% saved)
adjust: 90.0ms (40.4% of total)ival-acos: 77.0ms (34.6% of total)ival-sub: 23.0ms (10.3% of total)ival-div: 17.0ms (7.6% of total)ival-mult: 14.0ms (6.3% of total)ival-true: 1.0ms (0.4% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 29 |
| 1 | 45 | 29 |
| 2 | 169 | 29 |
| 3 | 818 | 29 |
| 4 | 4710 | 29 |
| 5 | 7137 | 29 |
| 0 | 9 | 14 |
| 0 | 15 | 14 |
| 1 | 40 | 14 |
| 2 | 124 | 14 |
| 3 | 684 | 14 |
| 4 | 3462 | 14 |
| 5 | 7446 | 14 |
| 0 | 8269 | 12 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
| Outputs |
|---|
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(abs v)
Compiled 14 to 9 computations (35.7% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.2% | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
Compiled 14 to 9 computations (35.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) | |
| cost-diff | 0 | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) | |
| cost-diff | 1 | (-.f64 (*.f64 v v) #s(literal 1 binary64)) | |
| cost-diff | 1 | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 50 |
| 0 | 15 | 50 |
| 1 | 40 | 50 |
| 2 | 124 | 50 |
| 3 | 684 | 50 |
| 4 | 3462 | 50 |
| 5 | 7446 | 50 |
| 0 | 8269 | 44 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
#s(literal 5 binary64) |
(*.f64 v v) |
v |
(-.f64 (*.f64 v v) #s(literal 1 binary64)) |
| Outputs |
|---|
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(*.f64 (*.f64 v v) #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.f64 v v) |
v |
(-.f64 (*.f64 v v) #s(literal 1 binary64)) |
(fma.f64 v v #s(literal -1 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 v v) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) | |
| accuracy | 0.16929628907376804 | (*.f64 #s(literal 5 binary64) (*.f64 v v)) | |
| accuracy | 0.47460941406909424 | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
| 52.0ms | 115× | 3 | valid |
| 40.0ms | 66× | 2 | valid |
| 10.0ms | 68× | 1 | valid |
| 1.0ms | 7× | 0 | valid |
Compiled 102 to 20 computations (80.4% saved)
adjust: 25.0ms (40.3% of total)ival-acos: 16.0ms (25.8% of total)ival-sub: 8.0ms (12.9% of total)ival-div: 6.0ms (9.7% of total)ival-mult: 6.0ms (9.7% 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) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
(-.f64 (*.f64 v v) #s(literal 1 binary64)) |
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(*.f64 v v) |
| Outputs |
|---|
1 |
(+ 1 (* -5 (pow v 2))) |
-1 |
(- (pow v 2) 1) |
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(- (* 4 (pow v 2)) 1) |
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1) |
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1) |
(* 5 (pow v 2)) |
(pow v 2) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- 1 (/ 1 (pow v 2)))) |
-5 |
(* -1 (+ 5 (* 4 (/ 1 (pow v 2))))) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | v | @ | inf | ((- 1 (* 5 (* v v))) (- (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (* v v)) |
| 1.0ms | v | @ | 0 | ((- 1 (* 5 (* v v))) (- (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (* v v)) |
| 1.0ms | v | @ | -inf | ((- 1 (* 5 (* v v))) (- (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (* v v)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 135 |
| 1 | 118 | 132 |
| 2 | 389 | 128 |
| 3 | 1608 | 128 |
| 4 | 6757 | 128 |
| 0 | 8188 | 116 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -5 (pow v 2))) |
-1 |
(- (pow v 2) 1) |
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(- (* 4 (pow v 2)) 1) |
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1) |
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1) |
(* 5 (pow v 2)) |
(pow v 2) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- 1 (/ 1 (pow v 2)))) |
-5 |
(* -1 (+ 5 (* 4 (/ 1 (pow v 2))))) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -5 (pow v 2))) |
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (pow v 2) 1) |
(fma.f64 v v #s(literal -1 binary64)) |
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(- (* 4 (pow v 2)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)) |
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1) |
(fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #s(literal -1 binary64)) |
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1) |
(fma.f64 (fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)) |
(* 5 (pow v 2)) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(pow v 2) |
(*.f64 v v) |
(* -5 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) |
(* (pow v 2) (- 1 (/ 1 (pow v 2)))) |
(fma.f64 v v #s(literal -1 binary64)) |
-5 |
#s(literal -5 binary64) |
(* -1 (+ 5 (* 4 (/ 1 (pow v 2))))) |
(-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5) |
(-.f64 (-.f64 (/.f64 #s(literal -4 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 5 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 v v))) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))) |
(-.f64 (-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -4 binary64)) (pow.f64 v #s(literal 4 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 47 |
| 0 | 15 | 47 |
| 1 | 76 | 47 |
| 2 | 616 | 47 |
| 0 | 8954 | 41 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
(-.f64 (*.f64 v v) #s(literal 1 binary64)) |
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(*.f64 v v) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 625 binary64) (pow.f64 v #s(literal 8 binary64)) (*.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64)))))) (fma.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 v #s(literal 5 binary64)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 5 binary64) v)) #s(literal 3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 625 binary64) (pow.f64 v #s(literal 8 binary64)) (*.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64))))) (*.f64 (*.f64 v #s(literal 5 binary64)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 5 binary64) v)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64))))) (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64))))) (neg.f64 (fma.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64))))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64))))) (fma.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64))))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (pow.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)))) (*.f64 (pow.f64 (fma.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)))) (pow.f64 (fma.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) |
(pow.f64 (pow.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64))))) (pow.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64))) |
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(*.f64 (*.f64 v #s(literal 5 binary64)) v) |
(*.f64 #s(literal -5 binary64) (*.f64 (neg.f64 v) v)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
(*.f64 (neg.f64 v) (*.f64 (*.f64 #s(literal -5 binary64) v) #s(literal 1 binary64))) |
(*.f64 (neg.f64 v) (*.f64 #s(literal -5 binary64) v)) |
(*.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 v v) #s(literal 5 binary64)) |
(*.f64 v (*.f64 (*.f64 v #s(literal 5 binary64)) #s(literal 1 binary64))) |
(*.f64 v (fabs.f64 (*.f64 #s(literal -5 binary64) v))) |
(*.f64 v (fabs.f64 (*.f64 v #s(literal 5 binary64)))) |
(*.f64 v (*.f64 v #s(literal 5 binary64))) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) |
(neg.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
(sqrt.f64 (*.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
(fabs.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
(fabs.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64))) |
(*.f64 (*.f64 (neg.f64 v) #s(literal -1 binary64)) v) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 v)) (neg.f64 v)) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 v) v)) (sqrt.f64 (*.f64 (neg.f64 v) v))) |
(*.f64 (sqrt.f64 (neg.f64 v)) (sqrt.f64 (pow.f64 v #s(literal 3 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 (neg.f64 v))) |
(*.f64 (sqrt.f64 (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 v)) |
(*.f64 (sqrt.f64 v) (sqrt.f64 (pow.f64 v #s(literal 3 binary64)))) |
(*.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 v) v)) |
(*.f64 (neg.f64 v) (neg.f64 v)) |
(*.f64 (*.f64 v v) #s(literal 1 binary64)) |
(*.f64 v v) |
(*.f64 #s(literal 1 binary64) (*.f64 v v)) |
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 v) #s(literal 2 binary64)) |
(pow.f64 (*.f64 v v) #s(literal 1 binary64)) |
(pow.f64 v #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 v) v)) |
(sqrt.f64 (pow.f64 v #s(literal 4 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 v) v)) |
(fabs.f64 (*.f64 (neg.f64 v) v)) |
(fabs.f64 (*.f64 v v)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 v)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 v) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))) |
Compiled 21 999 to 2 919 computations (86.7% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 845 | 5 | 850 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 846 | 5 | 851 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.7% | (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
| ▶ | 0.9% | (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) |
| ▶ | 99.2% | (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
| ▶ | 99.1% | (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
| ▶ | 0.0% | (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))) |
Compiled 212 to 136 computations (35.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (cbrt.f64 (PI.f64)) | |
| cost-diff | 0 | (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) | |
| cost-diff | 6 | (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) | |
| cost-diff | 0 | (*.f64 (PI.f64) (PI.f64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) | |
| cost-diff | 0 | (*.f64 v v) | |
| cost-diff | 0 | (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) | |
| cost-diff | 0 | (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)) | |
| cost-diff | 0 | (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))) | |
| cost-diff | 0 | (*.f64 v v) | |
| cost-diff | 0 | (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) | |
| cost-diff | 0 | (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 335 |
| 0 | 70 | 327 |
| 1 | 143 | 322 |
| 2 | 416 | 322 |
| 3 | 1810 | 322 |
| 4 | 5936 | 322 |
| 0 | 8082 | 321 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
#s(literal -5 binary64) |
(*.f64 v v) |
v |
#s(literal 1 binary64) |
(fma.f64 v v #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)) |
#s(literal -5 binary64) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) |
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)) |
#s(literal 4 binary64) |
(*.f64 v v) |
v |
#s(literal -1 binary64) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
#s(literal 1/4 binary64) |
(pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
#s(literal -5 binary64) |
(*.f64 v v) |
v |
#s(literal 1 binary64) |
(fma.f64 v v #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(literal 2 binary64) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
#s(literal 1/2 binary64) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(cbrt.f64 (PI.f64)) |
(PI.f64) |
#s(literal 2 binary64) |
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) |
(*.f64 v #s(literal 5 binary64)) |
v |
#s(literal 5 binary64) |
#s(literal -1 binary64) |
(fma.f64 v v #s(literal -1 binary64)) |
| Outputs |
|---|
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) |
#s(literal -5 binary64) |
(*.f64 v v) |
v |
#s(literal 1 binary64) |
(fma.f64 v v #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)) |
#s(literal -5 binary64) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) |
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)) |
#s(literal 4 binary64) |
(*.f64 v v) |
v |
#s(literal -1 binary64) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) |
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
#s(literal 1/4 binary64) |
(pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) |
#s(literal -5 binary64) |
(*.f64 v v) |
v |
#s(literal 1 binary64) |
(fma.f64 v v #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(literal 2 binary64) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
#s(literal 1/2 binary64) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(cbrt.f64 (PI.f64)) |
(PI.f64) |
#s(literal 2 binary64) |
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) |
(*.f64 v #s(literal 5 binary64)) |
(*.f64 #s(literal 5 binary64) v) |
v |
#s(literal 5 binary64) |
#s(literal -1 binary64) |
(fma.f64 v v #s(literal -1 binary64)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) | |
| accuracy | 0.5065231432011992 | (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) | |
| accuracy | 1.0 | (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) | |
| accuracy | 1.0 | (cbrt.f64 (PI.f64)) | |
| accuracy | 0.390625 | (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) | |
| accuracy | 0.5065231432011992 | (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) | |
| accuracy | 59.48333785257425 | (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) | |
| accuracy | 59.49585823572249 | (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) | |
| accuracy | 0.0 | (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)) | |
| accuracy | 0.0 | (*.f64 v v) | |
| accuracy | 0.10952718350643398 | #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) | |
| accuracy | 0.47460941406909424 | (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) | |
| accuracy | 0.47460941406909424 | (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))) | |
| accuracy | 53.16992675432362 | #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)) | |
| accuracy | 0.0 | (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 v v) | |
| accuracy | 0.0078125 | (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) | |
| accuracy | 0.47460941406909424 | (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
| 263.0ms | 115× | 3 | valid |
| 140.0ms | 66× | 2 | valid |
| 47.0ms | 72× | 1 | valid |
| 1.0ms | 3× | 0 | valid |
Compiled 688 to 85 computations (87.6% saved)
ival-pow2: 88.0ms (22.9% of total)ival-add: 79.0ms (20.6% of total)adjust: 64.0ms (16.7% of total)ival-acos: 44.0ms (11.5% of total)ival-asin: 32.0ms (8.3% of total)ival-mult: 30.0ms (7.8% of total)ival-div: 24.0ms (6.3% of total)ival-sub: 14.0ms (3.7% of total)ival-cbrt: 4.0ms (1% of total)ival-pi: 2.0ms (0.5% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(*.f64 v v) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) |
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(*.f64 (PI.f64) (PI.f64)) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(cbrt.f64 (PI.f64)) |
(PI.f64) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
| Outputs |
|---|
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
-1 |
(- (* 4 (pow v 2)) 1) |
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1) |
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1) |
1 |
(+ 1 (* -5 (pow v 2))) |
(pow v 2) |
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) |
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) |
(+ 1 (* -4 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4))) |
-5 |
(* -1 (+ 5 (* 4 (/ 1 (pow v 2))))) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* 4 (pow v 2)) |
(* (pow v 2) (- 4 (/ 1 (pow v 2)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) |
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
5 |
(+ 5 (* 4 (/ 1 (pow v 2)))) |
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))) |
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | v | @ | 0 | ((acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (+ (* -5 (* v v)) 1) (* v v) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* 4 (* v v)) -1) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (asin (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) (pow (cbrt (PI)) 2) (cbrt (PI)) (PI) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v 5) v) -1) (+ (* v v) -1))) (/ (+ (* (* v 5) v) -1) (+ (* v v) -1))) |
| 3.0ms | v | @ | inf | ((acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (+ (* -5 (* v v)) 1) (* v v) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* 4 (* v v)) -1) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (asin (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) (pow (cbrt (PI)) 2) (cbrt (PI)) (PI) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v 5) v) -1) (+ (* v v) -1))) (/ (+ (* (* v 5) v) -1) (+ (* v v) -1))) |
| 2.0ms | v | @ | -inf | ((acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (+ (* -5 (* v v)) 1) (* v v) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (+ (* 4 (* v v)) -1) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) 2)) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (asin (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) (pow (cbrt (PI)) 2) (cbrt (PI)) (PI) (+ (* 1/2 (PI)) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))) (asin (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (asin (/ (+ (* (* v 5) v) -1) (+ (* v v) -1))) (/ (+ (* (* v 5) v) -1) (+ (* v v) -1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 447 |
| 1 | 219 | 444 |
| 2 | 677 | 436 |
| 3 | 2616 | 436 |
| 4 | 7868 | 436 |
| 0 | 8043 | 388 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
-1 |
(- (* 4 (pow v 2)) 1) |
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1) |
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1) |
1 |
(+ 1 (* -5 (pow v 2))) |
(pow v 2) |
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) |
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI))) |
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) |
(+ 1 (* -4 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4))) |
-5 |
(* -1 (+ 5 (* 4 (/ 1 (pow v 2))))) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* 4 (pow v 2)) |
(* (pow v 2) (- 4 (/ 1 (pow v 2)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) |
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
5 |
(+ 5 (* 4 (/ 1 (pow v 2)))) |
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))) |
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4))))) |
| Outputs |
|---|
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow v 2)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)) |
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1) |
(fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #s(literal -1 binary64)) |
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #s(literal 4 binary64)) v) v #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -5 (pow v 2))) |
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) |
(pow v 2) |
(*.f64 v v) |
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) |
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(+ 1 (* -4 (pow v 2))) |
(fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4))) |
(fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4))) |
(fma.f64 (fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal -4 binary64)) (*.f64 v v) #s(literal 1 binary64)) |
-5 |
#s(literal -5 binary64) |
(* -1 (+ 5 (* 4 (/ 1 (pow v 2))))) |
(-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5) |
(-.f64 (-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (*.f64 v v))) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))) |
(-.f64 (-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (pow.f64 v #s(literal 4 binary64)))) |
(* -5 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) |
(* 4 (pow v 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 v v)) |
(* (pow v 2) (- 4 (/ 1 (pow v 2)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)) |
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) |
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) |
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
5 |
#s(literal 5 binary64) |
(+ 5 (* 4 (/ 1 (pow v 2)))) |
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 5 binary64)) |
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))) |
(-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -5 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 v v))) |
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4))))) |
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal -4 binary64) (pow.f64 v #s(literal 4 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 v v))) #s(literal -5 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 252 |
| 0 | 70 | 208 |
| 1 | 312 | 208 |
| 2 | 2486 | 202 |
| 0 | 9134 | 201 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(*.f64 v v) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) |
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(*.f64 (PI.f64) (PI.f64)) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(cbrt.f64 (PI.f64)) |
(PI.f64) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(*.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) |
(*.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal -1 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(*.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(pow.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (*.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 1 binary64))) (*.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (/.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (*.f64 (/.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (*.f64 (/.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64))) (*.f64 (/.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (+.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (+.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (*.f64 #s(literal 1 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) |
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(/.f64 (*.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 5 binary64) v) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -5 binary64) (fma.f64 v v #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 5 binary64) v) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) v) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) v) v) (fma.f64 v v #s(literal -1 binary64)) (*.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))) (neg.f64 (neg.f64 (fma.f64 v v #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (neg.f64 (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 v v #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 5 binary64) v) (/.f64 v (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 v v #s(literal 1 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 5 binary64) v) (/.f64 v (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 v v))) (*.f64 (*.f64 #s(literal 5 binary64) v) (/.f64 v (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 5 binary64) v) v) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 v v #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 5 binary64) v) v) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 v v #s(literal 1 binary64)) (pow.f64 v #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 5 binary64) v) v) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 v v))) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 #s(literal 5 binary64) v) (+.f64 #s(literal 1 binary64) v)) (/.f64 v (-.f64 v #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 5 binary64) (+.f64 #s(literal 1 binary64) v)) (/.f64 (*.f64 v v) (-.f64 v #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 5 binary64) (-.f64 v #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))) |
(fma.f64 (/.f64 v (+.f64 #s(literal 1 binary64) v)) (/.f64 (*.f64 #s(literal 5 binary64) v) (-.f64 v #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) v) v) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))) |
(fma.f64 (*.f64 #s(literal 5 binary64) v) (/.f64 v (fma.f64 v v #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))) |
(fma.f64 #s(literal 5 binary64) (/.f64 (*.f64 v v) (fma.f64 v v #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 5 binary64) v) (/.f64 v (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (*.f64 v v) (/.f64 #s(literal 5 binary64) (fma.f64 v v #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))) |
(fma.f64 v (/.f64 (*.f64 #s(literal 5 binary64) v) (fma.f64 v v #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 5 binary64) v) (/.f64 v (fma.f64 v v #s(literal -1 binary64))))) |
(+.f64 (*.f64 (*.f64 #s(literal 5 binary64) v) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))) |
Compiled 104 756 to 7 466 computations (92.9% saved)
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 271 | 5 | 2 276 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 273 | 8 | 2 281 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.2% | (fma.f64 (pow.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64))))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
| ▶ | 0.9% | (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) |
| ▶ | 97.7% | (fma.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
| ▶ | 99.1% | (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))) |
| ✓ | 0.9% | (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) |
| ✓ | 99.2% | (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
| ✓ | 99.1% | (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
| ▶ | 98.8% | (acos.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) #s(literal -1 binary64))) |
Compiled 359 to 202 computations (43.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))) | |
| cost-diff | 0 | (fma.f64 (pow.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64))))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) | |
| cost-diff | 2 | (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64))))) | |
| cost-diff | 3 | (pow.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64))))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/4 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (*.f64 (PI.f64) (PI.f64)) | |
| cost-diff | 13 | (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) | |
| cost-diff | 0 | (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) | |
| cost-diff | 15 | (fma.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) | |
| cost-diff | 0 | #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (acos.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 510 |
| 0 | 95 | 492 |
| 1 | 198 | 480 |
| 2 | 571 | 473 |
| 3 | 2478 | 467 |
| 4 | 7508 | 467 |
| 0 | 8266 | 460 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))) |
(PI.f64) |
#s(literal 1/2 binary64) |
(asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))) |
(neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) |
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)) |
#s(literal 4 binary64) |
(*.f64 v v) |
v |
#s(literal -1 binary64) |
(acos.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) #s(literal -1 binary64))) |
#s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(fma.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) |
(*.f64 #s(literal 5 binary64) v) |
#s(literal 5 binary64) |
v |
#s(literal -1 binary64) |
(fma.f64 v v #s(literal -1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
#s(literal 1/2 binary64) |
(PI.f64) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
(/.f64 #s(literal 1/4 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
#s(literal 1/4 binary64) |
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) |
(*.f64 #s(literal 5 binary64) v) |
#s(literal 5 binary64) |
v |
#s(literal -1 binary64) |
(fma.f64 v v #s(literal -1 binary64)) |
(neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) |
(/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
#s(literal 2 binary64) |
(fma.f64 (pow.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64))))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(pow.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64))))) #s(literal 2 binary64)) |
(*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64))))) |
(cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))) |
(neg.f64 (sqrt.f64 (PI.f64))) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
#s(literal 2 binary64) |
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
(cbrt.f64 (PI.f64)) |
#s(literal 1/2 binary64) |
(asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) |
(*.f64 v #s(literal 5 binary64)) |
v |
#s(literal 5 binary64) |
#s(literal -1 binary64) |
(fma.f64 v v #s(literal -1 binary64)) |
| Outputs |
|---|
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))) |
(PI.f64) |
#s(literal 1/2 binary64) |
(asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))) |
(asin.f64 (neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))) |
(neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
(neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) |
#s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) |
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)) |
#s(literal 4 binary64) |
(*.f64 v v) |
v |
#s(literal -1 binary64) |
(acos.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) #s(literal -1 binary64))) |
#s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(fma.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) |
(fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) |
(*.f64 #s(literal 5 binary64) v) |
(*.f64 v #s(literal 5 binary64)) |
#s(literal 5 binary64) |
v |
#s(literal -1 binary64) |
(fma.f64 v v #s(literal -1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
#s(literal 1/2 binary64) |
(PI.f64) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
(/.f64 #s(literal 1/4 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(/.f64 #s(literal 1/4 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
#s(literal 1/4 binary64) |
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) |
(fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) |
(*.f64 #s(literal 5 binary64) v) |
(*.f64 v #s(literal 5 binary64)) |
#s(literal 5 binary64) |
v |
#s(literal -1 binary64) |
(fma.f64 v v #s(literal -1 binary64)) |
(neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) |
(/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) |
(/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
#s(literal 2 binary64) |
(fma.f64 (pow.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64))))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(pow.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64))))) #s(literal 2 binary64)) |
(pow.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64)) |
(*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64))))) |
(sqrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) |
(cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))) |
(neg.f64 (sqrt.f64 (PI.f64))) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
#s(literal 2 binary64) |
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
(cbrt.f64 (PI.f64)) |
#s(literal 1/2 binary64) |
(asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) |
(*.f64 v #s(literal 5 binary64)) |
v |
#s(literal 5 binary64) |
#s(literal -1 binary64) |
(fma.f64 v v #s(literal -1 binary64)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.5065231432011992 | (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) | |
| accuracy | 1.0 | (pow.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64))))) #s(literal 2 binary64)) | |
| accuracy | 1.0 | (sqrt.f64 (PI.f64)) | |
| accuracy | 1.0 | (cbrt.f64 (PI.f64)) | |
| accuracy | 0.4303512695368841 | (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) | |
| accuracy | 0.5065231432011992 | (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) | |
| accuracy | 60.26965223225464 | (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) | |
| accuracy | 61.512799368645496 | (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) | |
| accuracy | 0.0078125 | (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) | |
| accuracy | 0.5065231432011992 | (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) | |
| accuracy | 0.96875 | (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) | |
| accuracy | 0.98046875 | (fma.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) | |
| accuracy | 0.22635080996915127 | #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) #s(literal -1 binary64)) | |
| accuracy | 0.47460941406909424 | (acos.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) #s(literal -1 binary64))) | |
| accuracy | 0.0 | (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) | |
| accuracy | 0.0 | (PI.f64) | |
| accuracy | 0.10952718350643398 | #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) | |
| accuracy | 0.5065231432011992 | (asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))) |
| 311.0ms | 115× | 3 | valid |
| 139.0ms | 66× | 2 | valid |
| 94.0ms | 74× | 1 | valid |
| 0.0ms | 1× | 0 | valid |
Compiled 1 045 to 115 computations (89% saved)
adjust: 96.0ms (20% of total)ival-acos: 88.0ms (18.3% of total)ival-mult: 74.0ms (15.4% of total)ival-asin: 72.0ms (15% of total)ival-div: 35.0ms (7.3% of total)ival-cbrt: 29.0ms (6% of total)ival-neg: 26.0ms (5.4% of total)ival-add: 26.0ms (5.4% of total)ival-pow2: 12.0ms (2.5% of total)ival-sub: 8.0ms (1.7% of total)ival-sqrt: 8.0ms (1.7% of total)ival-pi: 3.0ms (0.6% of total)exact: 1.0ms (0.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))) |
(PI.f64) |
(asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))) |
(neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
(acos.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) #s(literal -1 binary64))) |
#s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) #s(literal -1 binary64)) |
(fma.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) |
(*.f64 (PI.f64) (PI.f64)) |
(/.f64 #s(literal 1/4 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(pow.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64))))) #s(literal 2 binary64)) |
(*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64))))) |
(fma.f64 (pow.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64))))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) |
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(cbrt.f64 (PI.f64)) |
(sqrt.f64 (PI.f64)) |
(asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
| Outputs |
|---|
(+ (asin (- (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- (pow v 2) 1)))) (* 1/2 (PI))) |
(asin (- (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- (pow v 2) 1)))) |
1 |
(+ 1 (* -4 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4))) |
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
-1 |
(- (* 4 (pow v 2)) 1) |
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1) |
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1) |
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI))) |
(sqrt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) |
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) |
(- (* 1/4 (/ (pow (PI) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (/ (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) |
(/ 1/4 (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) |
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (* (PI) (pow (cbrt -1) 4)))) |
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) |
(/ (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) |
5 |
(+ 5 (* 4 (/ 1 (pow v 2)))) |
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))) |
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4))))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
-5 |
(* -1 (+ 5 (* 4 (/ 1 (pow v 2))))) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | v | @ | 0 | ((+ (* (PI) 1/2) (asin (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (PI) (asin (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (+ (* (sqrt (asin (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1)))) (sqrt (asin (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1))))) (* 1/2 (PI))) (sqrt (asin (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1)))) (asin (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1))) (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1)) (+ (* (* (PI) (PI)) (/ 1/4 (acos (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1))))) (neg (/ (pow (asin (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1))) 2) (acos (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1)))))) (* (PI) (PI)) (/ 1/4 (acos (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1)))) (pow (* (cbrt (neg (sqrt (PI)))) (cbrt (neg (sqrt (PI))))) 2) (* (cbrt (neg (sqrt (PI)))) (cbrt (neg (sqrt (PI))))) (+ (* (pow (* (cbrt (neg (sqrt (PI)))) (cbrt (neg (sqrt (PI))))) 2) (* (cbrt (PI)) 1/2)) (asin (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) (cbrt (neg (sqrt (PI)))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1))) (/ (pow (asin (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1))) 2) (acos (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1)))) (cbrt (PI)) (sqrt (PI)) (asin (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) |
| 6.0ms | v | @ | inf | ((+ (* (PI) 1/2) (asin (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (PI) (asin (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (+ (* (sqrt (asin (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1)))) (sqrt (asin (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1))))) (* 1/2 (PI))) (sqrt (asin (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1)))) (asin (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1))) (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1)) (+ (* (* (PI) (PI)) (/ 1/4 (acos (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1))))) (neg (/ (pow (asin (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1))) 2) (acos (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1)))))) (* (PI) (PI)) (/ 1/4 (acos (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1)))) (pow (* (cbrt (neg (sqrt (PI)))) (cbrt (neg (sqrt (PI))))) 2) (* (cbrt (neg (sqrt (PI)))) (cbrt (neg (sqrt (PI))))) (+ (* (pow (* (cbrt (neg (sqrt (PI)))) (cbrt (neg (sqrt (PI))))) 2) (* (cbrt (PI)) 1/2)) (asin (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) (cbrt (neg (sqrt (PI)))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1))) (/ (pow (asin (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1))) 2) (acos (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1)))) (cbrt (PI)) (sqrt (PI)) (asin (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) |
| 4.0ms | v | @ | -inf | ((+ (* (PI) 1/2) (asin (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (PI) (asin (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (+ (* (sqrt (asin (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1)))) (sqrt (asin (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1))))) (* 1/2 (PI))) (sqrt (asin (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1)))) (asin (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1))) (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1)) (+ (* (* (PI) (PI)) (/ 1/4 (acos (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1))))) (neg (/ (pow (asin (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1))) 2) (acos (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1)))))) (* (PI) (PI)) (/ 1/4 (acos (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1)))) (pow (* (cbrt (neg (sqrt (PI)))) (cbrt (neg (sqrt (PI))))) 2) (* (cbrt (neg (sqrt (PI)))) (cbrt (neg (sqrt (PI))))) (+ (* (pow (* (cbrt (neg (sqrt (PI)))) (cbrt (neg (sqrt (PI))))) 2) (* (cbrt (PI)) 1/2)) (asin (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) (cbrt (neg (sqrt (PI)))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1))) (/ (pow (asin (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1))) 2) (acos (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1)))) (cbrt (PI)) (sqrt (PI)) (asin (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 406 |
| 1 | 215 | 403 |
| 2 | 686 | 381 |
| 3 | 2685 | 380 |
| 4 | 7833 | 380 |
| 0 | 8001 | 337 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (asin (- (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- (pow v 2) 1)))) (* 1/2 (PI))) |
(asin (- (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- (pow v 2) 1)))) |
1 |
(+ 1 (* -4 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4))) |
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
-1 |
(- (* 4 (pow v 2)) 1) |
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1) |
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1) |
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI))) |
(sqrt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) |
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) |
(- (* 1/4 (/ (pow (PI) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (/ (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) |
(/ 1/4 (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) |
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (* (PI) (pow (cbrt -1) 4)))) |
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) |
(/ (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) |
5 |
(+ 5 (* 4 (/ 1 (pow v 2)))) |
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))) |
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4))))) |
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
-5 |
(* -1 (+ 5 (* 4 (/ 1 (pow v 2))))) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))) |
| Outputs |
|---|
(+ (asin (- (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- (pow v 2) 1)))) (* 1/2 (PI))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(asin (- (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- (pow v 2) 1)))) |
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -4 (pow v 2))) |
(fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4))) |
(fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4))) |
(fma.f64 (fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal -4 binary64)) (*.f64 v v) #s(literal 1 binary64)) |
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) |
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow v 2)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)) |
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1) |
(fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #s(literal -1 binary64)) |
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1) |
(fma.f64 (fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)) |
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (PI))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(sqrt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) |
(sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(- (* 1/4 (/ (pow (PI) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (/ (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(/ 1/4 (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) |
(/.f64 #s(literal 1/4 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(+ (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) (* 1/2 (* (PI) (pow (cbrt -1) 4)))) |
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) |
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/ (pow (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) 2) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) |
(/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
5 |
#s(literal 5 binary64) |
(+ 5 (* 4 (/ 1 (pow v 2)))) |
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 5 binary64)) |
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))) |
(-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal -5 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 v v))) |
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4))))) |
(-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal 5 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v)) |
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) |
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
-5 |
#s(literal -5 binary64) |
(* -1 (+ 5 (* 4 (/ 1 (pow v 2))))) |
(-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5) |
(-.f64 (-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (*.f64 v v))) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))) |
(-.f64 (-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (pow.f64 v #s(literal 4 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 354 |
| 0 | 95 | 296 |
| 1 | 417 | 284 |
| 2 | 3102 | 263 |
| 0 | 10020 | 256 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))) |
(PI.f64) |
(asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))) |
(neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
(acos.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) #s(literal -1 binary64))) |
#s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) #s(literal -1 binary64)) |
(fma.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) |
(*.f64 (PI.f64) (PI.f64)) |
(/.f64 #s(literal 1/4 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(pow.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64))))) #s(literal 2 binary64)) |
(*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64))))) |
(fma.f64 (pow.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64))))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) |
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(cbrt.f64 (PI.f64)) |
(sqrt.f64 (PI.f64)) |
(asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))) #s(literal -1 binary64))) |
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(/.f64 (fma.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal -2 binary64) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 (PI.f64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) |
(/.f64 (fabs.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(/.f64 (fabs.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))) |
(neg.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (fabs.f64 (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)))) (cbrt.f64 (PI.f64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (fabs.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (cbrt.f64 (PI.f64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (fabs.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (cbrt.f64 (PI.f64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (fabs.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (fabs.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(sqrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fabs.f64 (neg.f64 (-.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(fabs.f64 (-.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(fabs.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) |
(+.f64 (cosh.f64 (log.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (sinh.f64 (log.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) |
(+.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
Compiled 86 726 to 5 597 computations (93.5% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 846 | 6 | 1 852 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 850 | 10 | 1 860 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.7% | (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))) |
| 96.2% | (fma.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64))))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) | |
| ▶ | 97.1% | (fma.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64)) (*.f64 (-.f64 v #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (+.f64 v #s(literal 1 binary64))))) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
| ✓ | 97.7% | (fma.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
| ▶ | 97.8% | (fma.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (sqrt.f64 (asin.f64 (*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
| ▶ | 99.1% | (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))) |
| ▶ | 99.1% | (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))) |
| ✓ | 99.2% | (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
| ✓ | 99.1% | (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
| ✓ | 98.8% | (acos.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) #s(literal -1 binary64))) |
Compiled 463 to 306 computations (33.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cbrt.f64 (PI.f64)) | |
| cost-diff | 0 | (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))) | |
| cost-diff | 0 | (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64)) (*.f64 (-.f64 v #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (+.f64 v #s(literal 1 binary64))))) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))))) | |
| cost-diff | 8 | (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64)) (*.f64 (-.f64 v #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (+.f64 v #s(literal 1 binary64))))) | |
| cost-diff | 11 | (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64)) (*.f64 (-.f64 v #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (+.f64 v #s(literal 1 binary64))))) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))) | |
| cost-diff | 15 | (fma.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64)) (*.f64 (-.f64 v #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (+.f64 v #s(literal 1 binary64))))) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) | |
| cost-diff | 0 | (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) | |
| cost-diff | 2 | (*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))) | |
| cost-diff | 15 | (fma.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (sqrt.f64 (asin.f64 (*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) | |
| cost-diff | 0 | #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))) | |
| cost-diff | 0 | (asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (PI.f64)) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))) | |
| cost-diff | 5 | (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 728 |
| 0 | 117 | 624 |
| 1 | 239 | 618 |
| 2 | 760 | 609 |
| 3 | 4253 | 581 |
| 0 | 8221 | 579 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
#s(literal 1/2 binary64) |
(PI.f64) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(acos.f64 (neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))) |
(neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
#s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) |
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)) |
#s(literal 4 binary64) |
(*.f64 v v) |
v |
#s(literal -1 binary64) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))) |
(PI.f64) |
#s(literal 1/2 binary64) |
(asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) |
#s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))) |
(fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)) |
#s(literal -4 binary64) |
(*.f64 v v) |
v |
#s(literal 1 binary64) |
(fma.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (sqrt.f64 (asin.f64 (*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) |
(*.f64 #s(literal 5 binary64) v) |
#s(literal 5 binary64) |
v |
#s(literal -1 binary64) |
(fma.f64 v v #s(literal -1 binary64)) |
(sqrt.f64 (asin.f64 (*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))))) |
(asin.f64 (*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))) |
(*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
#s(literal -5 binary64) |
(*.f64 v v) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
#s(literal 1/2 binary64) |
(PI.f64) |
(fma.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64)) (*.f64 (-.f64 v #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (+.f64 v #s(literal 1 binary64))))) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(sqrt.f64 (asin.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64)) (*.f64 (-.f64 v #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (+.f64 v #s(literal 1 binary64))))) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))))) |
(asin.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64)) (*.f64 (-.f64 v #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (+.f64 v #s(literal 1 binary64))))) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64)) (*.f64 (-.f64 v #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (+.f64 v #s(literal 1 binary64))))) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64)) (*.f64 (-.f64 v #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (+.f64 v #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) |
#s(literal -1 binary64) |
(+.f64 v #s(literal 1 binary64)) |
v |
#s(literal 1 binary64) |
(-.f64 v #s(literal 1 binary64)) |
(*.f64 (-.f64 v #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (+.f64 v #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (+.f64 v #s(literal 1 binary64))) |
(*.f64 (*.f64 v v) #s(literal 5 binary64)) |
(*.f64 v v) |
#s(literal 5 binary64) |
(*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64))) |
(sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) |
(*.f64 #s(literal 5 binary64) v) |
(fma.f64 v v #s(literal -1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
#s(literal 1/2 binary64) |
(PI.f64) |
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))) |
(pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(cbrt.f64 (PI.f64)) |
(PI.f64) |
#s(literal 2 binary64) |
#s(literal 3/2 binary64) |
#s(literal 1/2 binary64) |
(asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))) |
(neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) |
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)) |
#s(literal 4 binary64) |
(*.f64 v v) |
v |
#s(literal -1 binary64) |
| Outputs |
|---|
(-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))) |
(-.f64 (PI.f64) (acos.f64 (neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(PI.f64) |
#s(literal 1/2 binary64) |
(PI.f64) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(acos.f64 (neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))) |
(acos.f64 (neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
(neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) |
#s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) |
#s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))) |
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)) |
(fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)) |
#s(literal 4 binary64) |
(*.f64 v v) |
v |
#s(literal -1 binary64) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))) |
(PI.f64) |
#s(literal 1/2 binary64) |
(asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) |
#s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))) |
(fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)) |
#s(literal -4 binary64) |
(*.f64 v v) |
v |
#s(literal 1 binary64) |
(fma.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (sqrt.f64 (asin.f64 (*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) |
(*.f64 #s(literal 5 binary64) v) |
#s(literal 5 binary64) |
v |
#s(literal -1 binary64) |
(fma.f64 v v #s(literal -1 binary64)) |
(sqrt.f64 (asin.f64 (*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))))) |
(sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(asin.f64 (*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))) |
(asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) |
#s(literal -5 binary64) |
(*.f64 v v) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(PI.f64) |
(fma.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64)) (*.f64 (-.f64 v #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (+.f64 v #s(literal 1 binary64))))) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(sqrt.f64 (asin.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64)) (*.f64 (-.f64 v #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (+.f64 v #s(literal 1 binary64))))) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))))) |
(sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(asin.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64)) (*.f64 (-.f64 v #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (+.f64 v #s(literal 1 binary64))))) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64))))) |
(asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64)) (*.f64 (-.f64 v #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (+.f64 v #s(literal 1 binary64))))) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64)) (*.f64 (-.f64 v #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (+.f64 v #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)) (-.f64 v #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) |
#s(literal -1 binary64) |
(+.f64 v #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) v) |
v |
#s(literal 1 binary64) |
(-.f64 v #s(literal 1 binary64)) |
(*.f64 (-.f64 v #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (+.f64 v #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) v) v) (*.f64 v (/.f64 #s(literal -5 binary64) (+.f64 #s(literal 1 binary64) v)))) |
(/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (+.f64 v #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 5 binary64) (+.f64 #s(literal 1 binary64) v)) v) v) |
(*.f64 (*.f64 v v) #s(literal 5 binary64)) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(*.f64 v v) |
#s(literal 5 binary64) |
(*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)) |
(sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) |
(*.f64 #s(literal 5 binary64) v) |
(fma.f64 v v #s(literal -1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(PI.f64) |
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))) |
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (asin.f64 (neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))))) |
(pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(cbrt.f64 (PI.f64)) |
(PI.f64) |
#s(literal 2 binary64) |
#s(literal 3/2 binary64) |
#s(literal 1/2 binary64) |
(asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))) |
(asin.f64 (neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
(neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) |
#s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))) |
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)) |
(fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)) |
#s(literal 4 binary64) |
(*.f64 v v) |
v |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.10952718350643398 | #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) | |
| accuracy | 0.5065231432011992 | (asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))) | |
| accuracy | 1.0 | (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) | |
| accuracy | 1.0 | (cbrt.f64 (PI.f64)) | |
| accuracy | 0.5065231432011992 | (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) | |
| accuracy | 0.96875 | (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64)) (*.f64 (-.f64 v #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (+.f64 v #s(literal 1 binary64))))) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))))) | |
| accuracy | 0.96875 | (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) | |
| accuracy | 0.98046875 | (fma.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64)) (*.f64 (-.f64 v #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (+.f64 v #s(literal 1 binary64))))) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) | |
| accuracy | 0.5065231432011992 | (asin.f64 (*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))) | |
| accuracy | 0.96875 | (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) | |
| accuracy | 0.96875 | (sqrt.f64 (asin.f64 (*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))))) | |
| accuracy | 0.98046875 | (fma.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (sqrt.f64 (asin.f64 (*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) | |
| accuracy | 0.0 | (*.f64 v v) | |
| accuracy | 0.0 | (PI.f64) | |
| accuracy | 0.10952718350643398 | #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))) | |
| accuracy | 0.5065231432011992 | (asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) | |
| accuracy | 0.0 | (PI.f64) | |
| accuracy | 0.01171875 | (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))) | |
| accuracy | 0.10952718350643398 | #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) | |
| accuracy | 60.26965223225464 | (acos.f64 (neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))) |
| 272.0ms | 113× | 3 | valid |
| 94.0ms | 68× | 2 | valid |
| 86.0ms | 74× | 1 | valid |
| 0.0ms | 1× | 0 | valid |
Compiled 1 441 to 134 computations (90.7% saved)
adjust: 68.0ms (18.5% of total)ival-asin: 59.0ms (16% of total)ival-mult: 49.0ms (13.3% of total)ival-div: 42.0ms (11.4% of total)ival-add: 37.0ms (10% of total)ival-acos: 31.0ms (8.4% of total)ival-sqrt: 29.0ms (7.9% of total)ival-sub: 14.0ms (3.8% of total)ival-pow: 10.0ms (2.7% of total)ival-pi: 10.0ms (2.7% of total)ival-pow2: 8.0ms (2.2% of total)ival-neg: 7.0ms (1.9% of total)ival-cbrt: 3.0ms (0.8% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))) |
(PI.f64) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) |
#s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (sqrt.f64 (asin.f64 (*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))) |
(sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(fma.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64)) (*.f64 (-.f64 v #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (+.f64 v #s(literal 1 binary64))))) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64)) (*.f64 (-.f64 v #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (+.f64 v #s(literal 1 binary64))))) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64)) (*.f64 (-.f64 v #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (+.f64 v #s(literal 1 binary64))))) |
(sqrt.f64 (asin.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64)) (*.f64 (-.f64 v #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (+.f64 v #s(literal 1 binary64))))) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))))) |
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))) |
(pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(cbrt.f64 (PI.f64)) |
(acos.f64 (neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))) |
#s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) |
(*.f64 v v) |
(sqrt.f64 (asin.f64 (*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))))) |
(asin.f64 (*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))) |
(asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) |
| Outputs |
|---|
(- (PI) (acos (neg (+ (* -5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- (pow v 2) 1)))))) |
(+ (asin (- (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- (pow v 2) 1)))) (* 1/2 (PI))) |
(asin (- (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- (pow v 2) 1)))) |
1 |
(+ 1 (* -4 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4))) |
(+ (sqrt (* (asin (* -1 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (* 1/2 (PI))) |
(sqrt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) |
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) |
(+ (sqrt (* (asin (/ (+ (* -1 (/ (- v 1) (+ 1 v))) (* 5 (/ (* (pow v 2) (- v 1)) (+ 1 v)))) (pow (- v 1) 2))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (* 1/2 (PI))) |
(+ 1 (* -2 v)) |
(+ 1 (* v (- (* -3 v) 2))) |
(+ 1 (* v (- (* v (- (* 8 v) 3)) 2))) |
(sqrt (asin (/ (+ (* -1 (/ (- v 1) (+ 1 v))) (* 5 (/ (* (pow v 2) (- v 1)) (+ 1 v)))) (pow (- v 1) 2)))) |
(acos (neg (+ (* -5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- (pow v 2) 1))))) |
-1 |
(- (* 4 (pow v 2)) 1) |
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1) |
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1) |
(pow v 2) |
(sqrt (asin (* -1 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))) |
(asin (* -1 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))) |
(- (PI) (acos (- (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- (pow v 2) 1))))) |
5 |
(+ 5 (* 4 (/ 1 (pow v 2)))) |
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))) |
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4))))) |
(+ (sqrt (* (asin (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (* 1/2 (PI))) |
(* 5 (pow v 2)) |
(* (pow v 2) (- 5 (* 10 (/ 1 v)))) |
(* (pow v 2) (- (+ 5 (/ 9 (pow v 2))) (* 10 (/ 1 v)))) |
(* (pow v 2) (- (+ 5 (/ 9 (pow v 2))) (+ (* 10 (/ 1 v)) (* 8 (/ 1 (pow v 3)))))) |
(acos (- (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- (pow v 2) 1)))) |
-5 |
(* -1 (+ 5 (* 4 (/ 1 (pow v 2))))) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))) |
(sqrt (asin (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) |
(asin (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) |
(+ (sqrt (* (asin (/ (+ (* -5 (/ (* (pow v 2) (+ 1 (* -1 v))) (- 1 (* -1 v)))) (+ (* -1 (/ v (- 1 (* -1 v)))) (/ 1 (- 1 (* -1 v))))) (pow (+ 1 (* -1 v)) 2))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (* 1/2 (PI))) |
(* (pow v 2) (+ 5 (* -1 (/ (- 10 (* 9 (/ 1 v))) v)))) |
(* (pow v 2) (+ 5 (* -1 (/ (+ 10 (* -1 (/ (- 9 (* 8 (/ 1 v))) v))) v)))) |
(sqrt (asin (/ (+ (* -5 (/ (* (pow v 2) (+ 1 (* -1 v))) (- 1 (* -1 v)))) (+ (* -1 (/ v (- 1 (* -1 v)))) (/ 1 (- 1 (* -1 v))))) (pow (+ 1 (* -1 v)) 2)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | v | @ | inf | ((+ (* 1/2 (PI)) (* 1/2 (PI))) (- (+ (* 1/2 (PI)) (* 1/2 (PI))) (acos (neg (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))))) (PI) (* 1/2 (PI)) (+ (* (PI) 1/2) (asin (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (asin (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (+ (* (sqrt (asin (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1)))) (sqrt (asin (* (+ (* -5 (* v v)) 1) (/ -1 (+ (* v v) -1)))))) (* 1/2 (PI))) (* (+ (* -5 (* v v)) 1) (/ -1 (+ (* v v) -1))) (sqrt (asin (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1)))) (asin (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1))) (+ (* (sqrt (asin (/ (+ (* (/ -1 (+ v 1)) (- v 1)) (* (- v 1) (/ (* (* v v) 5) (+ v 1)))) (* (- v 1) (- v 1))))) (sqrt (asin (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1))))) (* 1/2 (PI))) (/ (+ (* (/ -1 (+ v 1)) (- v 1)) (* (- v 1) (/ (* (* v v) 5) (+ v 1)))) (* (- v 1) (- v 1))) (+ (* (/ -1 (+ v 1)) (- v 1)) (* (- v 1) (/ (* (* v v) 5) (+ v 1)))) (sqrt (asin (/ (+ (* (/ -1 (+ v 1)) (- v 1)) (* (- v 1) (/ (* (* v v) 5) (+ v 1)))) (* (- v 1) (- v 1))))) (+ (* (pow (pow (cbrt (PI)) 2) 3/2) 1/2) (asin (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (pow (pow (cbrt (PI)) 2) 3/2) (pow (cbrt (PI)) 2) (cbrt (PI)) (acos (neg (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))) (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (* v v) (sqrt (asin (* (+ (* -5 (* v v)) 1) (/ -1 (+ (* v v) -1))))) (asin (* (+ (* -5 (* v v)) 1) (/ -1 (+ (* v v) -1)))) (asin (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) |
| 4.0ms | v | @ | -inf | ((+ (* 1/2 (PI)) (* 1/2 (PI))) (- (+ (* 1/2 (PI)) (* 1/2 (PI))) (acos (neg (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))))) (PI) (* 1/2 (PI)) (+ (* (PI) 1/2) (asin (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (asin (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (+ (* (sqrt (asin (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1)))) (sqrt (asin (* (+ (* -5 (* v v)) 1) (/ -1 (+ (* v v) -1)))))) (* 1/2 (PI))) (* (+ (* -5 (* v v)) 1) (/ -1 (+ (* v v) -1))) (sqrt (asin (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1)))) (asin (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1))) (+ (* (sqrt (asin (/ (+ (* (/ -1 (+ v 1)) (- v 1)) (* (- v 1) (/ (* (* v v) 5) (+ v 1)))) (* (- v 1) (- v 1))))) (sqrt (asin (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1))))) (* 1/2 (PI))) (/ (+ (* (/ -1 (+ v 1)) (- v 1)) (* (- v 1) (/ (* (* v v) 5) (+ v 1)))) (* (- v 1) (- v 1))) (+ (* (/ -1 (+ v 1)) (- v 1)) (* (- v 1) (/ (* (* v v) 5) (+ v 1)))) (sqrt (asin (/ (+ (* (/ -1 (+ v 1)) (- v 1)) (* (- v 1) (/ (* (* v v) 5) (+ v 1)))) (* (- v 1) (- v 1))))) (+ (* (pow (pow (cbrt (PI)) 2) 3/2) 1/2) (asin (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (pow (pow (cbrt (PI)) 2) 3/2) (pow (cbrt (PI)) 2) (cbrt (PI)) (acos (neg (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))) (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (* v v) (sqrt (asin (* (+ (* -5 (* v v)) 1) (/ -1 (+ (* v v) -1))))) (asin (* (+ (* -5 (* v v)) 1) (/ -1 (+ (* v v) -1)))) (asin (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) |
| 4.0ms | v | @ | 0 | ((+ (* 1/2 (PI)) (* 1/2 (PI))) (- (+ (* 1/2 (PI)) (* 1/2 (PI))) (acos (neg (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))))) (PI) (* 1/2 (PI)) (+ (* (PI) 1/2) (asin (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (asin (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (+ (* (sqrt (asin (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1)))) (sqrt (asin (* (+ (* -5 (* v v)) 1) (/ -1 (+ (* v v) -1)))))) (* 1/2 (PI))) (* (+ (* -5 (* v v)) 1) (/ -1 (+ (* v v) -1))) (sqrt (asin (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1)))) (asin (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1))) (+ (* (sqrt (asin (/ (+ (* (/ -1 (+ v 1)) (- v 1)) (* (- v 1) (/ (* (* v v) 5) (+ v 1)))) (* (- v 1) (- v 1))))) (sqrt (asin (/ (+ (* (* 5 v) v) -1) (+ (* v v) -1))))) (* 1/2 (PI))) (/ (+ (* (/ -1 (+ v 1)) (- v 1)) (* (- v 1) (/ (* (* v v) 5) (+ v 1)))) (* (- v 1) (- v 1))) (+ (* (/ -1 (+ v 1)) (- v 1)) (* (- v 1) (/ (* (* v v) 5) (+ v 1)))) (sqrt (asin (/ (+ (* (/ -1 (+ v 1)) (- v 1)) (* (- v 1) (/ (* (* v v) 5) (+ v 1)))) (* (- v 1) (- v 1))))) (+ (* (pow (pow (cbrt (PI)) 2) 3/2) 1/2) (asin (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))) (pow (pow (cbrt (PI)) 2) 3/2) (pow (cbrt (PI)) 2) (cbrt (PI)) (acos (neg (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)))) (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (* v v) (sqrt (asin (* (+ (* -5 (* v v)) 1) (/ -1 (+ (* v v) -1))))) (asin (* (+ (* -5 (* v v)) 1) (/ -1 (+ (* v v) -1)))) (asin (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 166 | 690 |
| 1 | 478 | 661 |
| 2 | 1491 | 603 |
| 3 | 6839 | 603 |
| 0 | 8034 | 542 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (PI) (acos (neg (+ (* -5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- (pow v 2) 1)))))) |
(+ (asin (- (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- (pow v 2) 1)))) (* 1/2 (PI))) |
(asin (- (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- (pow v 2) 1)))) |
1 |
(+ 1 (* -4 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4))) |
(+ (sqrt (* (asin (* -1 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (* 1/2 (PI))) |
(sqrt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) |
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) |
(+ (sqrt (* (asin (/ (+ (* -1 (/ (- v 1) (+ 1 v))) (* 5 (/ (* (pow v 2) (- v 1)) (+ 1 v)))) (pow (- v 1) 2))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (* 1/2 (PI))) |
(+ 1 (* -2 v)) |
(+ 1 (* v (- (* -3 v) 2))) |
(+ 1 (* v (- (* v (- (* 8 v) 3)) 2))) |
(sqrt (asin (/ (+ (* -1 (/ (- v 1) (+ 1 v))) (* 5 (/ (* (pow v 2) (- v 1)) (+ 1 v)))) (pow (- v 1) 2)))) |
(acos (neg (+ (* -5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- (pow v 2) 1))))) |
-1 |
(- (* 4 (pow v 2)) 1) |
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1) |
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1) |
(pow v 2) |
(sqrt (asin (* -1 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))) |
(asin (* -1 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))) |
(- (PI) (acos (- (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- (pow v 2) 1))))) |
5 |
(+ 5 (* 4 (/ 1 (pow v 2)))) |
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))) |
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4))))) |
(+ (sqrt (* (asin (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (* 1/2 (PI))) |
(* 5 (pow v 2)) |
(* (pow v 2) (- 5 (* 10 (/ 1 v)))) |
(* (pow v 2) (- (+ 5 (/ 9 (pow v 2))) (* 10 (/ 1 v)))) |
(* (pow v 2) (- (+ 5 (/ 9 (pow v 2))) (+ (* 10 (/ 1 v)) (* 8 (/ 1 (pow v 3)))))) |
(acos (- (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- (pow v 2) 1)))) |
-5 |
(* -1 (+ 5 (* 4 (/ 1 (pow v 2))))) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))) |
(sqrt (asin (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) |
(asin (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) |
(+ (sqrt (* (asin (/ (+ (* -5 (/ (* (pow v 2) (+ 1 (* -1 v))) (- 1 (* -1 v)))) (+ (* -1 (/ v (- 1 (* -1 v)))) (/ 1 (- 1 (* -1 v))))) (pow (+ 1 (* -1 v)) 2))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (* 1/2 (PI))) |
(* (pow v 2) (+ 5 (* -1 (/ (- 10 (* 9 (/ 1 v))) v)))) |
(* (pow v 2) (+ 5 (* -1 (/ (+ 10 (* -1 (/ (- 9 (* 8 (/ 1 v))) v))) v)))) |
(sqrt (asin (/ (+ (* -5 (/ (* (pow v 2) (+ 1 (* -1 v))) (- 1 (* -1 v)))) (+ (* -1 (/ v (- 1 (* -1 v)))) (/ 1 (- 1 (* -1 v))))) (pow (+ 1 (* -1 v)) 2)))) |
| Outputs |
|---|
(- (PI) (acos (neg (+ (* -5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- (pow v 2) 1)))))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(+ (asin (- (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- (pow v 2) 1)))) (* 1/2 (PI))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(asin (- (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- (pow v 2) 1)))) |
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -4 (pow v 2))) |
(fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 v v (pow.f64 v #s(literal 4 binary64))))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4))) |
(fma.f64 (*.f64 (neg.f64 v) (fma.f64 #s(literal 4 binary64) (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64))) v #s(literal 1 binary64)) |
(+ (sqrt (* (asin (* -1 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (* 1/2 (PI))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) |
(sqrt (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))) |
(sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))) |
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(+ (sqrt (* (asin (/ (+ (* -1 (/ (- v 1) (+ 1 v))) (* 5 (/ (* (pow v 2) (- v 1)) (+ 1 v)))) (pow (- v 1) 2))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (* 1/2 (PI))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (sqrt.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (*.f64 (-.f64 v #s(literal 1 binary64)) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))) (fma.f64 v v #s(literal -1 binary64))) (-.f64 v #s(literal 1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) |
(+ 1 (* -2 v)) |
(fma.f64 #s(literal -2 binary64) v #s(literal 1 binary64)) |
(+ 1 (* v (- (* -3 v) 2))) |
(fma.f64 (fma.f64 #s(literal -3 binary64) v #s(literal -2 binary64)) v #s(literal 1 binary64)) |
(+ 1 (* v (- (* v (- (* 8 v) 3)) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 8 binary64) v #s(literal -3 binary64)) v #s(literal -2 binary64)) v #s(literal 1 binary64)) |
(sqrt (asin (/ (+ (* -1 (/ (- v 1) (+ 1 v))) (* 5 (/ (* (pow v 2) (- v 1)) (+ 1 v)))) (pow (- v 1) 2)))) |
(sqrt.f64 (asin.f64 (/.f64 (/.f64 (*.f64 (-.f64 v #s(literal 1 binary64)) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))) (fma.f64 v v #s(literal -1 binary64))) (-.f64 v #s(literal 1 binary64))))) |
(acos (neg (+ (* -5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- (pow v 2) 1))))) |
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow v 2)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)) |
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1) |
(fma.f64 #s(literal 4 binary64) (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) |
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1) |
(fma.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64)) (*.f64 v v) #s(literal -1 binary64)) |
(pow v 2) |
(*.f64 v v) |
(sqrt (asin (* -1 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))) |
(sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(asin (* -1 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))) |
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(- (PI) (acos (- (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- (pow v 2) 1))))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
5 |
#s(literal 5 binary64) |
(+ 5 (* 4 (/ 1 (pow v 2)))) |
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 5 binary64)) |
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))) |
(-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 5 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 v v))) |
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4))))) |
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 5 binary64)) (/.f64 #s(literal -4 binary64) (pow.f64 v #s(literal 6 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 v v))) |
(+ (sqrt (* (asin (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (* 1/2 (PI))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) |
(* 5 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal 5 binary64)) |
(* (pow v 2) (- 5 (* 10 (/ 1 v)))) |
(*.f64 (*.f64 (-.f64 #s(literal 5 binary64) (/.f64 #s(literal 10 binary64) v)) v) v) |
(* (pow v 2) (- (+ 5 (/ 9 (pow v 2))) (* 10 (/ 1 v)))) |
(*.f64 (-.f64 #s(literal 5 binary64) (/.f64 (-.f64 #s(literal 10 binary64) (/.f64 #s(literal 9 binary64) v)) v)) (*.f64 v v)) |
(* (pow v 2) (- (+ 5 (/ 9 (pow v 2))) (+ (* 10 (/ 1 v)) (* 8 (/ 1 (pow v 3)))))) |
(*.f64 (*.f64 (-.f64 #s(literal 5 binary64) (/.f64 (-.f64 #s(literal 10 binary64) (/.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 8 binary64) v)) v)) v)) v) v) |
(acos (- (* 5 (/ (pow v 2) (- (pow v 2) 1))) (/ 1 (- (pow v 2) 1)))) |
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
-5 |
#s(literal -5 binary64) |
(* -1 (+ 5 (* 4 (/ 1 (pow v 2))))) |
(-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5) |
(-.f64 (/.f64 (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) v) v) #s(literal 5 binary64)) |
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2))))) |
(-.f64 (-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (pow.f64 v #s(literal 4 binary64)))) |
(sqrt (asin (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))) |
(sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(asin (* -1 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))) |
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(+ (sqrt (* (asin (/ (+ (* -5 (/ (* (pow v 2) (+ 1 (* -1 v))) (- 1 (* -1 v)))) (+ (* -1 (/ v (- 1 (* -1 v)))) (/ 1 (- 1 (* -1 v))))) (pow (+ 1 (* -1 v)) 2))) (asin (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))) (* 1/2 (PI))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (sqrt.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (*.f64 (-.f64 v #s(literal 1 binary64)) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))) (fma.f64 v v #s(literal -1 binary64))) (-.f64 v #s(literal 1 binary64)))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) |
(* (pow v 2) (+ 5 (* -1 (/ (- 10 (* 9 (/ 1 v))) v)))) |
(*.f64 (-.f64 #s(literal 5 binary64) (/.f64 (-.f64 #s(literal 10 binary64) (/.f64 #s(literal 9 binary64) v)) v)) (*.f64 v v)) |
(* (pow v 2) (+ 5 (* -1 (/ (+ 10 (* -1 (/ (- 9 (* 8 (/ 1 v))) v))) v)))) |
(*.f64 (*.f64 (-.f64 #s(literal 5 binary64) (/.f64 (-.f64 #s(literal 10 binary64) (/.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 8 binary64) v)) v)) v)) v) v) |
(sqrt (asin (/ (+ (* -5 (/ (* (pow v 2) (+ 1 (* -1 v))) (- 1 (* -1 v)))) (+ (* -1 (/ v (- 1 (* -1 v)))) (/ 1 (- 1 (* -1 v))))) (pow (+ 1 (* -1 v)) 2)))) |
(sqrt.f64 (asin.f64 (/.f64 (/.f64 (*.f64 (-.f64 v #s(literal 1 binary64)) (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))) (fma.f64 v v #s(literal -1 binary64))) (-.f64 v #s(literal 1 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 462 |
| 0 | 117 | 406 |
| 1 | 513 | 375 |
| 2 | 4975 | 363 |
| 0 | 8241 | 359 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))) |
(PI.f64) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) |
#s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (sqrt.f64 (asin.f64 (*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))) |
(sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(fma.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64)) (*.f64 (-.f64 v #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (+.f64 v #s(literal 1 binary64))))) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64)) (*.f64 (-.f64 v #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (+.f64 v #s(literal 1 binary64))))) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64)) (*.f64 (-.f64 v #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (+.f64 v #s(literal 1 binary64))))) |
(sqrt.f64 (asin.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64)) (*.f64 (-.f64 v #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (+.f64 v #s(literal 1 binary64))))) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))))) |
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))) |
(pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(cbrt.f64 (PI.f64)) |
(acos.f64 (neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))) |
#s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) |
(*.f64 v v) |
(sqrt.f64 (asin.f64 (*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))))) |
(asin.f64 (*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))) |
(asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) |
| Outputs |
|---|
(PI.f64) |
#s(literal 0 binary64) |
(*.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(pow.f64 (/.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64))) #s(literal -1 binary64)) |
(asin.f64 (neg.f64 (neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))))) |
(asin.f64 (neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)) (PI.f64)) (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(/.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(/.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) (PI.f64))))) |
(/.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64)))) |
(neg.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (PI.f64)) |
(fma.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (PI.f64)) |
(fma.f64 #s(literal -1 binary64) (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) (PI.f64)) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (PI.f64) (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))) (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (PI.f64) (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64))) (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(-.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) (PI.f64)) |
(-.f64 (PI.f64) (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(+.f64 (/.f64 (PI.f64) (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64))) (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(+.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) (PI.f64)) |
(+.f64 (PI.f64) (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(acos.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))))) |
(acos.f64 (neg.f64 (neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))))) |
(acos.f64 (neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(acos.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) |
(PI.f64) |
#s(literal 0 binary64) |
(PI.f64) |
#s(literal 0 binary64) |
(*.f64 (-.f64 (PI.f64) (pow.f64 (asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 2 binary64))) (pow.f64 (acos.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 3 binary64)) (PI.f64)) (pow.f64 (+.f64 (pow.f64 (asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 2 binary64)) (PI.f64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (acos.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) (-.f64 (PI.f64) (pow.f64 (asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (pow.f64 (asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 2 binary64)) (PI.f64)) (+.f64 (pow.f64 (asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 3 binary64)) (PI.f64))) #s(literal -1 binary64)) |
(asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (PI.f64) (pow.f64 (acos.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 2 binary64))) (acos.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 2 binary64)) (PI.f64)) (asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (PI.f64) (pow.f64 (acos.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (PI.f64) (+.f64 (pow.f64 (acos.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (PI.f64) (acos.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (PI.f64) (pow.f64 (asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (acos.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 3 binary64)) (PI.f64))) (neg.f64 (+.f64 (pow.f64 (asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 2 binary64)) (PI.f64)))) |
(/.f64 (-.f64 (PI.f64) (pow.f64 (asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 2 binary64))) (acos.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))) |
(/.f64 (+.f64 (pow.f64 (asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 3 binary64)) (PI.f64)) (+.f64 (pow.f64 (asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) (PI.f64))))) |
(/.f64 (+.f64 (pow.f64 (asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 3 binary64)) (PI.f64)) (+.f64 (pow.f64 (asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 2 binary64)) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (acos.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) (-.f64 (PI.f64) (pow.f64 (asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 2 binary64)) (PI.f64)) (+.f64 (pow.f64 (asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 3 binary64)) (PI.f64)))) |
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(/.f64 (-.f64 (PI.f64) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (PI.f64) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (PI.f64) (+.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))) |
(neg.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (neg.f64 (fma.f64 v v #s(literal -1 binary64)))))) |
(neg.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(+.f64 (PI.f64) (neg.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) |
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(pow.f64 (/.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64))) #s(literal -1 binary64)) |
(asin.f64 (neg.f64 (neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))))) |
(asin.f64 (neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)) (PI.f64)) (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(/.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)) (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(/.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) (PI.f64))))) |
(/.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64)))) |
(neg.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (PI.f64)) |
(fma.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (PI.f64)) |
(fma.f64 #s(literal -1 binary64) (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) (PI.f64)) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (PI.f64) (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))) (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (PI.f64) (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64))) (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(-.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) (PI.f64)) |
(-.f64 (PI.f64) (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(+.f64 (/.f64 (PI.f64) (pow.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64))) (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(+.f64 (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) (PI.f64)) |
(+.f64 (PI.f64) (asin.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(acos.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))))) |
(acos.f64 (neg.f64 (neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))))) |
(acos.f64 (neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(acos.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)))) |
#s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))) |
Compiled 28 937 to 2 915 computations (89.9% saved)
10 alts after pruning (4 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 627 | 3 | 630 |
| Fresh | 0 | 1 | 1 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 630 | 10 | 640 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 96.7% | (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))) |
| 99.1% | (fma.f64 (pow.f64 (pow.f64 (asin.f64 (*.f64 (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (fma.f64 (*.f64 (-.f64 v #s(literal 1 binary64)) #s(literal 5 binary64)) (*.f64 v v) (fma.f64 #s(literal -1 binary64) v #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) v)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) | |
| 96.2% | (fma.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64))))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) | |
| ✓ | 97.7% | (fma.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
| ✓ | 97.8% | (fma.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (sqrt.f64 (asin.f64 (*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
| 97.1% | (fma.f64 (sqrt.f64 (asin.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 v #s(literal 1 binary64)) #s(literal 5 binary64)) (*.f64 v v) (fma.f64 #s(literal -1 binary64) v #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) v)) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) | |
| 99.1% | (-.f64 (PI.f64) (acos.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))) | |
| ✓ | 99.2% | (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
| ✓ | 99.1% | (acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
| ✓ | 98.8% | (acos.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) #s(literal -1 binary64))) |
Compiled 851 to 313 computations (63.2% saved)
| Inputs |
|---|
(acos.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) #s(literal -1 binary64))) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
(-.f64 (PI.f64) (acos.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))) |
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
(fma.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(fma.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (sqrt.f64 (asin.f64 (*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(fma.f64 (sqrt.f64 (asin.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 v #s(literal 1 binary64)) #s(literal 5 binary64)) (*.f64 v v) (fma.f64 #s(literal -1 binary64) v #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) v)) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(fma.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64)) (*.f64 (-.f64 v #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (+.f64 v #s(literal 1 binary64))))) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) |
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) |
(fma.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64))))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64))))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (pow.f64 (asin.f64 (*.f64 (pow.f64 (-.f64 v #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (fma.f64 (*.f64 (-.f64 v #s(literal 1 binary64)) #s(literal 5 binary64)) (*.f64 v v) (fma.f64 #s(literal -1 binary64) v #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) v)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
| Outputs |
|---|
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
4 calls:
| 6.0ms | (*.f64 v v) |
| 6.0ms | v |
| 5.0ms | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
| 5.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | v |
| 99.2% | 1 | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
| 99.2% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) |
| 99.2% | 1 | (*.f64 v v) |
Compiled 31 to 20 computations (35.5% saved)
| Inputs |
|---|
(acos.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) #s(literal -1 binary64))) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
(-.f64 (PI.f64) (acos.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (neg.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (neg.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))))) |
| Outputs |
|---|
(-.f64 (PI.f64) (acos.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))) |
4 calls:
| 4.0ms | (*.f64 v v) |
| 2.0ms | v |
| 2.0ms | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
| 2.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | v |
| 99.1% | 1 | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
| 99.1% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) |
| 99.1% | 1 | (*.f64 v v) |
Compiled 31 to 20 computations (35.5% saved)
| Inputs |
|---|
(acos.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) #s(literal -1 binary64))) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
| Outputs |
|---|
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
4 calls:
| 2.0ms | v |
| 1.0ms | (*.f64 v v) |
| 1.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) |
| 1.0ms | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | v |
| 99.1% | 1 | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
| 99.1% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) |
| 99.1% | 1 | (*.f64 v v) |
Compiled 31 to 20 computations (35.5% saved)
Total -63.3b remaining (-8592.5%)
Threshold costs -63.3b (-8592.5%)
| Inputs |
|---|
(acos.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) #s(literal -1 binary64))) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))) |
| Outputs |
|---|
(acos.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) #s(literal -1 binary64))) |
4 calls:
| 2.0ms | v |
| 1.0ms | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
| 1.0ms | (*.f64 v v) |
| 1.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | v |
| 98.8% | 1 | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) |
| 98.8% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))) |
| 98.8% | 1 | (*.f64 v v) |
Compiled 31 to 20 computations (35.5% saved)
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 73 |
| 1 | 75 | 73 |
| 2 | 237 | 72 |
| 3 | 1397 | 72 |
| 4 | 6621 | 72 |
| 1× | node limit |
| Inputs |
|---|
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(-.f64 (PI.f64) (acos.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
(acos.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) #s(literal -1 binary64))) |
| Outputs |
|---|
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) |
(-.f64 (PI.f64) (acos.f64 #s(approx (neg (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))) |
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
(acos.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 47 |
| 0 | 15 | 47 |
| 1 | 76 | 47 |
| 2 | 616 | 47 |
| 0 | 8954 | 41 |
| 0 | 80 | 447 |
| 1 | 219 | 444 |
| 2 | 677 | 436 |
| 3 | 2616 | 436 |
| 4 | 7868 | 436 |
| 0 | 8043 | 388 |
| 0 | 40 | 252 |
| 0 | 70 | 208 |
| 1 | 312 | 208 |
| 2 | 2486 | 202 |
| 0 | 9134 | 201 |
| 0 | 64 | 462 |
| 0 | 117 | 406 |
| 1 | 513 | 375 |
| 2 | 4975 | 363 |
| 0 | 8241 | 359 |
| 0 | 84 | 406 |
| 1 | 215 | 403 |
| 2 | 686 | 381 |
| 3 | 2685 | 380 |
| 4 | 7833 | 380 |
| 0 | 8001 | 337 |
| 0 | 39 | 135 |
| 1 | 118 | 132 |
| 2 | 389 | 128 |
| 3 | 1608 | 128 |
| 4 | 6757 | 128 |
| 0 | 8188 | 116 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 248 to 130 computations (47.6% saved)
(abs v)
Compiled 198 to 106 computations (46.5% saved)
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