
Time bar (total: 5.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 815.0ms | 8 256× | 0 | valid |
const: 299.0ms (46.4% of total)ival-mult: 256.0ms (39.7% of total)ival-add: 38.0ms (5.9% of total)ival-sub: 37.0ms (5.7% of total)ival-true: 6.0ms (0.9% of total)exact: 5.0ms (0.8% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 3/25 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 3/25 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| 0 | 0 | - | 0 | - | #s(literal 253/1000 binary64) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 45.0ms | 512× | 0 | valid |
Compiled 69 to 28 computations (59.4% saved)
const: 13.0ms (51.5% of total)ival-mult: 7.0ms (27.7% of total)ival-sub: 2.0ms (7.9% of total)ival-add: 2.0ms (7.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 1 | 36 | 18 |
| 2 | 121 | 18 |
| 3 | 352 | 18 |
| 4 | 645 | 18 |
| 5 | 744 | 18 |
| 6 | 769 | 18 |
| 7 | 777 | 18 |
| 0 | 8 | 9 |
| 0 | 12 | 9 |
| 1 | 28 | 9 |
| 2 | 66 | 9 |
| 3 | 131 | 9 |
| 4 | 240 | 9 |
| 5 | 360 | 9 |
| 6 | 559 | 9 |
| 7 | 704 | 9 |
| 8 | 745 | 9 |
| 0 | 745 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x #s(literal 3/25 binary64)) | |
| cost-diff | 0 | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) | |
| cost-diff | 1 | (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) | |
| cost-diff | 1 | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 0 | 12 | 28 |
| 1 | 28 | 28 |
| 2 | 66 | 28 |
| 3 | 131 | 28 |
| 4 | 240 | 28 |
| 5 | 360 | 28 |
| 6 | 559 | 28 |
| 7 | 704 | 28 |
| 8 | 745 | 28 |
| 0 | 745 | 24 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
#s(literal 1 binary64) |
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
x |
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) |
#s(literal 253/1000 binary64) |
(*.f64 x #s(literal 3/25 binary64)) |
#s(literal 3/25 binary64) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
x |
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) |
#s(literal 253/1000 binary64) |
(*.f64 x #s(literal 3/25 binary64)) |
(*.f64 #s(literal 3/25 binary64) x) |
#s(literal 3/25 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) | |
| accuracy | 0.0078125 | (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) | |
| accuracy | 0.12109375 | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) | |
| accuracy | 0.2578125 | (*.f64 x #s(literal 3/25 binary64)) |
| 21.0ms | 256× | 0 | valid |
Compiled 30 to 10 computations (66.7% saved)
const: 8.0ms (56.2% of total)ival-mult: 3.0ms (21.1% of total)ival-sub: 2.0ms (14.1% of total)ival-add: 1.0ms (7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) |
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
(*.f64 x #s(literal 3/25 binary64)) |
| Outputs |
|---|
1 |
(+ 1 (* -253/1000 x)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
253/1000 |
(+ 253/1000 (* 3/25 x)) |
(* 253/1000 x) |
(* x (+ 253/1000 (* 3/25 x))) |
(* 3/25 x) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* 3/25 (pow x 2)) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((- 1 (* x (+ 253/1000 (* x 3/25)))) (+ 253/1000 (* x 3/25)) (* x (+ 253/1000 (* x 3/25))) (* x 3/25)) |
| 1.0ms | x | @ | -inf | ((- 1 (* x (+ 253/1000 (* x 3/25)))) (+ 253/1000 (* x 3/25)) (* x (+ 253/1000 (* x 3/25))) (* x 3/25)) |
| 1.0ms | x | @ | 0 | ((- 1 (* x (+ 253/1000 (* x 3/25)))) (+ 253/1000 (* x 3/25)) (* x (+ 253/1000 (* x 3/25))) (* x 3/25)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 84 |
| 1 | 93 | 84 |
| 2 | 218 | 81 |
| 3 | 521 | 81 |
| 4 | 1091 | 81 |
| 5 | 2552 | 81 |
| 6 | 4213 | 81 |
| 7 | 5337 | 81 |
| 8 | 6629 | 81 |
| 9 | 7672 | 81 |
| 0 | 8058 | 69 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -253/1000 x)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
253/1000 |
(+ 253/1000 (* 3/25 x)) |
(* 253/1000 x) |
(* x (+ 253/1000 (* 3/25 x))) |
(* 3/25 x) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* 3/25 (pow x 2)) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -253/1000 x)) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
253/1000 |
#s(literal 253/1000 binary64) |
(+ 253/1000 (* 3/25 x)) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) |
(* 253/1000 x) |
(*.f64 #s(literal 253/1000 binary64) x) |
(* x (+ 253/1000 (* 3/25 x))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
(* 3/25 x) |
(*.f64 #s(literal 3/25 binary64) x) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) |
(* 3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3/25 binary64)) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 55 | 24 |
| 2 | 428 | 24 |
| 3 | 4376 | 24 |
| 0 | 8326 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) |
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
(*.f64 x #s(literal 3/25 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (-.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64))) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 4 binary64))) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)))) |
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(/.f64 (*.f64 (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)) x) (fma.f64 x (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))) |
(/.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 253/1000 binary64) x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64))) (*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27/15625 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 253/1000 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 759/25000 binary64) x) (*.f64 x x))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27/15625 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) (fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64)) (*.f64 (*.f64 #s(literal 759/25000 binary64) x) (*.f64 x x))))) |
(/.f64 x (pow.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)) (*.f64 (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 253/1000 binary64) x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64)) (*.f64 (*.f64 #s(literal 759/25000 binary64) x) (*.f64 x x)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27/15625 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/25 binary64) (*.f64 #s(literal 253/1000 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/25 binary64) x)) x (*.f64 #s(literal 253/1000 binary64) x)) |
(fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (*.f64 #s(literal 253/1000 binary64) x)) |
(fma.f64 (*.f64 #s(literal 253/1000 binary64) x) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3/25 binary64) x) x)) |
(fma.f64 (*.f64 (*.f64 #s(literal 3/25 binary64) x) x) #s(literal 1 binary64) (*.f64 #s(literal 253/1000 binary64) x)) |
(fma.f64 (*.f64 #s(literal 3/25 binary64) x) x (*.f64 #s(literal 253/1000 binary64) x)) |
(fma.f64 #s(literal 3/25 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 #s(literal 253/1000 binary64) x)) |
(fma.f64 #s(literal 3/25 binary64) (*.f64 x x) (*.f64 #s(literal 253/1000 binary64) x)) |
(fma.f64 #s(literal 253/1000 binary64) x (*.f64 (*.f64 #s(literal 3/25 binary64) x) x)) |
(fma.f64 x (*.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 253/1000 binary64) x)) |
(fma.f64 x (*.f64 #s(literal 3/25 binary64) x) (*.f64 #s(literal 253/1000 binary64) x)) |
(fma.f64 x #s(literal 253/1000 binary64) (*.f64 (*.f64 #s(literal 3/25 binary64) x) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 253/1000 binary64) x) (*.f64 (*.f64 #s(literal 3/25 binary64) x) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3/25 binary64) x) x) (*.f64 #s(literal 253/1000 binary64) x)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 253/1000 binary64) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64)) (*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x))) |
(+.f64 (*.f64 #s(literal 253/1000 binary64) x) (*.f64 (*.f64 #s(literal 3/25 binary64) x) x)) |
(+.f64 (*.f64 (*.f64 #s(literal 3/25 binary64) x) x) (*.f64 #s(literal 253/1000 binary64) x)) |
(*.f64 (exp.f64 (log.f64 #s(literal 3/25 binary64))) (exp.f64 (log.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 3/25 binary64)))) |
(*.f64 #s(literal 3/25 binary64) x) |
(*.f64 x #s(literal 3/25 binary64)) |
(pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3/25 binary64) x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 #s(literal 3/25 binary64) x))) |
Compiled 6 838 to 958 computations (86% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 321 | 7 | 328 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 321 | 8 | 329 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
| 99.9% | (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) | |
| 99.8% | (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) | |
| ✓ | 99.9% | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| ▶ | 52.4% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
| ▶ | 50.1% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
| ▶ | 48.8% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
| ▶ | 50.5% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
Compiled 183 to 152 computations (16.9% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) | |
| cost-diff | 0 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal -3/25 binary64)) | |
| cost-diff | 0 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 102 |
| 0 | 28 | 102 |
| 1 | 53 | 102 |
| 2 | 95 | 94 |
| 3 | 157 | 94 |
| 4 | 267 | 94 |
| 5 | 387 | 94 |
| 6 | 588 | 94 |
| 7 | 735 | 94 |
| 8 | 776 | 94 |
| 0 | 776 | 94 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
#s(literal -3/25 binary64) |
x |
#s(literal -253/1000 binary64) |
#s(literal 1 binary64) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
#s(literal -253/1000 binary64) |
x |
#s(literal 1 binary64) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(*.f64 x x) |
x |
#s(literal -3/25 binary64) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
#s(literal -3/25 binary64) |
x |
#s(literal -253/1000 binary64) |
| Outputs |
|---|
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) |
#s(literal -3/25 binary64) |
x |
#s(literal -253/1000 binary64) |
#s(literal 1 binary64) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
#s(literal -253/1000 binary64) |
x |
#s(literal 1 binary64) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(*.f64 x x) |
x |
#s(literal -3/25 binary64) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) |
#s(literal -3/25 binary64) |
x |
#s(literal -253/1000 binary64) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12109375 | (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) | |
| accuracy | 0.1328125 | (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) | |
| accuracy | 31.874957971081415 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.16796875 | (*.f64 (*.f64 x x) #s(literal -3/25 binary64)) | |
| accuracy | 32.714791399911796 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) | |
| accuracy | 0.01171875 | (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) | |
| accuracy | 30.454346467400622 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) | |
| accuracy | 31.710202802846876 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) | |
| accuracy | 0.046875 | (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) | |
| accuracy | 0.1328125 | (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
| 74.0ms | 256× | 0 | valid |
Compiled 90 to 20 computations (77.8% saved)
ival-mult: 44.0ms (70.2% of total)const: 12.0ms (19.1% of total)ival-add: 6.0ms (9.6% of total)ival-sub: 1.0ms (1.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(*.f64 x x) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
| Outputs |
|---|
1 |
(+ 1 (* -253/1000 x)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
-253/1000 |
(- (* -3/25 x) 253/1000) |
(* -3/25 (pow x 2)) |
(pow x 2) |
(* -253/1000 x) |
(* x (- (* -3/25 x) 253/1000)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -3/25 x) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* x (- (/ 1 x) 253/1000)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* -1 (* x (- 253/1000 (/ 1 x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (+ (* -253/1000 x) 1) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (* x x) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (+ (* -3/25 x) -253/1000) x)) |
| 1.0ms | x | @ | -inf | ((+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (+ (* -253/1000 x) 1) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (* x x) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (+ (* -3/25 x) -253/1000) x)) |
| 1.0ms | x | @ | inf | ((+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (+ (* -253/1000 x) 1) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (* x x) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (+ (* -3/25 x) -253/1000) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 82 |
| 1 | 95 | 82 |
| 2 | 282 | 82 |
| 3 | 674 | 82 |
| 4 | 1205 | 82 |
| 5 | 2583 | 82 |
| 6 | 4265 | 82 |
| 7 | 5392 | 82 |
| 8 | 6744 | 82 |
| 9 | 7773 | 82 |
| 0 | 8156 | 69 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -253/1000 x)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
-253/1000 |
(- (* -3/25 x) 253/1000) |
(* -3/25 (pow x 2)) |
(pow x 2) |
(* -253/1000 x) |
(* x (- (* -3/25 x) 253/1000)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -3/25 x) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* x (- (/ 1 x) 253/1000)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* -1 (* x (- 253/1000 (/ 1 x)))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -253/1000 x)) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
-253/1000 |
#s(literal -253/1000 binary64) |
(- (* -3/25 x) 253/1000) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* -253/1000 x) |
(*.f64 #s(literal -253/1000 binary64) x) |
(* x (- (* -3/25 x) 253/1000)) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* -3/25 x) |
(*.f64 #s(literal -3/25 binary64) x) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(* x (- (/ 1 x) 253/1000)) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (- 253/1000 (/ 1 x)))) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 85 |
| 0 | 28 | 85 |
| 1 | 115 | 85 |
| 2 | 848 | 77 |
| 0 | 9271 | 77 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(*.f64 x x) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) #s(literal 3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)))) (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64))) |
(pow.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 4 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 4 binary64))) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 6 binary64))) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal -1 binary64))) |
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(/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)))) |
(/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal 759/25000 binary64) x))) (*.f64 (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (*.f64 x (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal 759/25000 binary64) x))) (*.f64 x (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x)) (*.f64 (neg.f64 x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)) (*.f64 (neg.f64 x) (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) |
(neg.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)) |
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 3/25 binary64) (*.f64 #s(literal -253/1000 binary64) x)) |
(fma.f64 (*.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal -1 binary64)) x (*.f64 #s(literal -253/1000 binary64) x)) |
(fma.f64 (neg.f64 (*.f64 x x)) #s(literal 3/25 binary64) (*.f64 #s(literal -253/1000 binary64) x)) |
(fma.f64 (*.f64 (*.f64 x #s(literal -3/25 binary64)) x) #s(literal 1 binary64) (*.f64 #s(literal -253/1000 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 3/25 binary64)) (*.f64 #s(literal -253/1000 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 253/1000 binary64) x) (*.f64 (*.f64 (*.f64 x #s(literal -3/25 binary64)) x) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 253/1000 binary64) x) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 253/1000 binary64) x) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 3/25 binary64)) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 253/1000 binary64) x) #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal 253/1000 binary64) x) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 3/25 binary64)) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 x) (*.f64 #s(literal 3/25 binary64) x) (*.f64 #s(literal -253/1000 binary64) x)) |
(fma.f64 (neg.f64 x) #s(literal 253/1000 binary64) (*.f64 (*.f64 (*.f64 x #s(literal -3/25 binary64)) x) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) #s(literal 253/1000 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x))) |
(fma.f64 (neg.f64 x) #s(literal 253/1000 binary64) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) |
(fma.f64 (*.f64 x #s(literal -3/25 binary64)) x (*.f64 #s(literal -253/1000 binary64) x)) |
(fma.f64 (*.f64 #s(literal -253/1000 binary64) x) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x #s(literal -3/25 binary64)) x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -253/1000 binary64) x) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x))) |
(fma.f64 (*.f64 #s(literal -253/1000 binary64) x) #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) |
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (*.f64 #s(literal -253/1000 binary64) x)) |
(fma.f64 (*.f64 #s(literal 3/25 binary64) x) (neg.f64 x) (*.f64 #s(literal -253/1000 binary64) x)) |
(fma.f64 #s(literal 3/25 binary64) (*.f64 x (neg.f64 x)) (*.f64 #s(literal -253/1000 binary64) x)) |
(fma.f64 #s(literal 3/25 binary64) (neg.f64 (*.f64 x x)) (*.f64 #s(literal -253/1000 binary64) x)) |
(fma.f64 #s(literal 253/1000 binary64) (neg.f64 x) (*.f64 (*.f64 (*.f64 x #s(literal -3/25 binary64)) x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 253/1000 binary64) (neg.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x))) |
(fma.f64 #s(literal 253/1000 binary64) (neg.f64 x) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x) (*.f64 #s(literal -253/1000 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -253/1000 binary64) x) (*.f64 (*.f64 (*.f64 x #s(literal -3/25 binary64)) x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -253/1000 binary64) x) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -253/1000 binary64) x) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) |
(fma.f64 #s(literal -253/1000 binary64) x (*.f64 (*.f64 (*.f64 x #s(literal -3/25 binary64)) x) #s(literal 1 binary64))) |
(fma.f64 #s(literal -253/1000 binary64) x (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x))) |
(fma.f64 #s(literal -253/1000 binary64) x (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) |
(fma.f64 x (*.f64 x #s(literal -3/25 binary64)) (*.f64 #s(literal -253/1000 binary64) x)) |
(fma.f64 x #s(literal -253/1000 binary64) (*.f64 (*.f64 (*.f64 x #s(literal -3/25 binary64)) x) #s(literal 1 binary64))) |
(fma.f64 x #s(literal -253/1000 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x))) |
(fma.f64 x #s(literal -253/1000 binary64) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) |
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) (*.f64 #s(literal -253/1000 binary64) x)) |
(-.f64 (*.f64 (*.f64 x #s(literal -3/25 binary64)) x) (*.f64 #s(literal 253/1000 binary64) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)) |
(-.f64 (*.f64 #s(literal -253/1000 binary64) x) (*.f64 (*.f64 x x) #s(literal 3/25 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 x #s(literal -3/25 binary64)) x) #s(literal 1 binary64)) (*.f64 #s(literal -253/1000 binary64) x)) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 3/25 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 253/1000 binary64) x) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal 253/1000 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 3/25 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) (*.f64 #s(literal -253/1000 binary64) x)) |
(+.f64 (*.f64 (*.f64 x #s(literal -3/25 binary64)) x) (*.f64 #s(literal -253/1000 binary64) x)) |
(+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x)) |
(+.f64 (*.f64 #s(literal -253/1000 binary64) x) (*.f64 (*.f64 (*.f64 x #s(literal -3/25 binary64)) x) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal -253/1000 binary64) x) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x))) |
(+.f64 (*.f64 #s(literal -253/1000 binary64) x) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) |
Compiled 17 917 to 1 740 computations (90.3% saved)
12 alts after pruning (7 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 687 | 6 | 693 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 1 | 0 | 1 |
| Total | 689 | 12 | 701 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
| ▶ | 99.9% | (fma.f64 (+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
| ▶ | 99.9% | (fma.f64 (*.f64 x #s(literal -3/25 binary64)) x (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
| 99.8% | (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) | |
| ✓ | 52.4% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
| ▶ | 50.1% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) |
| ✓ | 50.1% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
| 50.0% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x)) | |
| ✓ | 48.8% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
| ▶ | 48.8% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) |
| ▶ | 3.9% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) |
| ✓ | 50.5% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
Compiled 277 to 227 computations (18.1% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) | |
| cost-diff | 0 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) | |
| cost-diff | 2 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) | |
| cost-diff | 0 | (*.f64 x #s(literal -3/25 binary64)) | |
| cost-diff | 0 | (fma.f64 (+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) | |
| cost-diff | 1 | (+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(literal -3/25 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 x #s(literal -3/25 binary64)) x) | |
| cost-diff | 0 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) | |
| cost-diff | 0 | #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) | |
| cost-diff | 0 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) | |
| cost-diff | 0 | (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(literal -3/25 binary64)) | |
| cost-diff | 2 | (fma.f64 (*.f64 x #s(literal -3/25 binary64)) x (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 140 |
| 0 | 39 | 139 |
| 1 | 70 | 131 |
| 2 | 117 | 125 |
| 3 | 201 | 125 |
| 4 | 326 | 125 |
| 5 | 464 | 125 |
| 6 | 701 | 125 |
| 7 | 918 | 125 |
| 8 | 1126 | 125 |
| 9 | 1169 | 125 |
| 10 | 1181 | 125 |
| 11 | 1183 | 125 |
| 12 | 1186 | 125 |
| 13 | 1187 | 125 |
| 0 | 1187 | 125 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x #s(literal -3/25 binary64)) x (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
(*.f64 x #s(literal -3/25 binary64)) |
x |
#s(literal -3/25 binary64) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
#s(literal -253/1000 binary64) |
#s(literal 1 binary64) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) |
(*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) |
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) |
#s(literal -253/1000 binary64) |
x |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) |
(*.f64 (*.f64 x #s(literal -3/25 binary64)) x) |
(*.f64 x #s(literal -3/25 binary64)) |
x |
#s(literal -3/25 binary64) |
(fma.f64 (+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)) |
(*.f64 x #s(literal -3/25 binary64)) |
x |
#s(literal -3/25 binary64) |
#s(literal -253/1000 binary64) |
#s(literal 1 binary64) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) |
#s(literal 1 binary64) |
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) |
#s(literal -3/25 binary64) |
#s(literal -253/1000 binary64) |
| Outputs |
|---|
(fma.f64 (*.f64 x #s(literal -3/25 binary64)) x (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(*.f64 x #s(literal -3/25 binary64)) |
(*.f64 #s(literal -3/25 binary64) x) |
x |
#s(literal -3/25 binary64) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
#s(literal -253/1000 binary64) |
#s(literal 1 binary64) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) |
(*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) |
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) |
#s(literal -253/1000 binary64) |
x |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) |
(*.f64 (*.f64 x #s(literal -3/25 binary64)) x) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(*.f64 x #s(literal -3/25 binary64)) |
(*.f64 #s(literal -3/25 binary64) x) |
x |
#s(literal -3/25 binary64) |
(fma.f64 (+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(*.f64 x #s(literal -3/25 binary64)) |
(*.f64 #s(literal -3/25 binary64) x) |
x |
#s(literal -3/25 binary64) |
#s(literal -253/1000 binary64) |
#s(literal 1 binary64) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) |
#s(literal 1 binary64) |
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
#s(literal -3/25 binary64) |
#s(literal -253/1000 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1328125 | (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) | |
| accuracy | 0.13671875 | (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) | |
| accuracy | 0.23046875 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) | |
| accuracy | 31.874957971081415 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) | |
| accuracy | 0.0078125 | (+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)) | |
| accuracy | 0.046875 | (fma.f64 (+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) | |
| accuracy | 0.2578125 | (*.f64 x #s(literal -3/25 binary64)) | |
| accuracy | 0.11328125 | (*.f64 (*.f64 x #s(literal -3/25 binary64)) x) | |
| accuracy | 0.2578125 | (*.f64 x #s(literal -3/25 binary64)) | |
| accuracy | 32.714791399911796 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) | |
| accuracy | 0.12109375 | (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) | |
| accuracy | 30.9791223153076 | #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) | |
| accuracy | 31.874957971081415 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) | |
| accuracy | 0.01171875 | (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) | |
| accuracy | 0.05859375 | (fma.f64 (*.f64 x #s(literal -3/25 binary64)) x (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) | |
| accuracy | 0.2578125 | (*.f64 x #s(literal -3/25 binary64)) |
| 174.0ms | 256× | 0 | valid |
Compiled 122 to 25 computations (79.5% saved)
const: 108.0ms (81.3% of total)ival-mult: 12.0ms (9% of total)ival-add: 6.0ms (4.5% of total)ival-div: 4.0ms (3% of total)ival-sub: 2.0ms (1.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 x #s(literal -3/25 binary64)) x (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
(*.f64 x #s(literal -3/25 binary64)) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) |
(*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) |
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) |
(*.f64 (*.f64 x #s(literal -3/25 binary64)) x) |
(+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)) |
(fma.f64 (+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) |
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) |
| Outputs |
|---|
1 |
(+ 1 (* -253/1000 x)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(* -3/25 x) |
(* -253/1000 x) |
(* x (- (* -3/25 x) 253/1000)) |
-253/1000 |
(- (* -3/25 x) 253/1000) |
(* -3/25 (pow x 2)) |
-1000/253 |
(- (* 120000/64009 x) 1000/253) |
(- (* x (+ 120000/64009 (* -14400000/16194277 x))) 1000/253) |
(- (* x (+ 120000/64009 (* x (- (* 1728000000/4097152081 x) 14400000/16194277)))) 1000/253) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* x (- (/ 1 x) 253/1000)) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(/ -25/3 x) |
(/ (- (* 1265/72 (/ 1 x)) 25/3) x) |
(/ (- (* 1265/72 (/ 1 x)) (+ 25/3 (/ 64009/1728 (pow x 2)))) x) |
(/ (- (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3)))) (+ 25/3 (/ 64009/1728 (pow x 2)))) x) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* -1 (* x (- 253/1000 (/ 1 x)))) |
(* -1 (/ (- 25/3 (* 1265/72 (/ 1 x))) x)) |
(* -1 (/ (+ 25/3 (* -1 (/ (- 1265/72 (* 64009/1728 (/ 1 x))) x))) x)) |
(* -1 (/ (+ 25/3 (* -1 (/ (+ 1265/72 (* -1 (/ (- 64009/1728 (* 16194277/207360 (/ 1 x))) x))) x))) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((+ (* (* x -3/25) x) (+ (* -253/1000 x) 1)) (* x -3/25) (+ (* -253/1000 x) 1) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x -3/25) x) (+ (* x -3/25) -253/1000) (+ (* (+ (* x -3/25) -253/1000) x) 1) (/ x (/ 1 (+ (* x -3/25) -253/1000))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (/ 1 (+ (* x -3/25) -253/1000)) (+ (* x -3/25) -253/1000)) |
| 1.0ms | x | @ | -inf | ((+ (* (* x -3/25) x) (+ (* -253/1000 x) 1)) (* x -3/25) (+ (* -253/1000 x) 1) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x -3/25) x) (+ (* x -3/25) -253/1000) (+ (* (+ (* x -3/25) -253/1000) x) 1) (/ x (/ 1 (+ (* x -3/25) -253/1000))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (/ 1 (+ (* x -3/25) -253/1000)) (+ (* x -3/25) -253/1000)) |
| 1.0ms | x | @ | 0 | ((+ (* (* x -3/25) x) (+ (* -253/1000 x) 1)) (* x -3/25) (+ (* -253/1000 x) 1) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x -3/25) x) (+ (* x -3/25) -253/1000) (+ (* (+ (* x -3/25) -253/1000) x) 1) (/ x (/ 1 (+ (* x -3/25) -253/1000))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (/ 1 (+ (* x -3/25) -253/1000)) (+ (* x -3/25) -253/1000)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 188 |
| 1 | 261 | 180 |
| 2 | 651 | 180 |
| 3 | 1399 | 176 |
| 4 | 2877 | 176 |
| 5 | 6316 | 176 |
| 0 | 8524 | 157 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -253/1000 x)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(* -3/25 x) |
(* -253/1000 x) |
(* x (- (* -3/25 x) 253/1000)) |
-253/1000 |
(- (* -3/25 x) 253/1000) |
(* -3/25 (pow x 2)) |
-1000/253 |
(- (* 120000/64009 x) 1000/253) |
(- (* x (+ 120000/64009 (* -14400000/16194277 x))) 1000/253) |
(- (* x (+ 120000/64009 (* x (- (* 1728000000/4097152081 x) 14400000/16194277)))) 1000/253) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* x (- (/ 1 x) 253/1000)) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(/ -25/3 x) |
(/ (- (* 1265/72 (/ 1 x)) 25/3) x) |
(/ (- (* 1265/72 (/ 1 x)) (+ 25/3 (/ 64009/1728 (pow x 2)))) x) |
(/ (- (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3)))) (+ 25/3 (/ 64009/1728 (pow x 2)))) x) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* -1 (* x (- 253/1000 (/ 1 x)))) |
(* -1 (/ (- 25/3 (* 1265/72 (/ 1 x))) x)) |
(* -1 (/ (+ 25/3 (* -1 (/ (- 1265/72 (* 64009/1728 (/ 1 x))) x))) x)) |
(* -1 (/ (+ 25/3 (* -1 (/ (+ 1265/72 (* -1 (/ (- 64009/1728 (* 16194277/207360 (/ 1 x))) x))) x))) x)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -253/1000 x)) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* -3/25 x) |
(*.f64 #s(literal -3/25 binary64) x) |
(* -253/1000 x) |
(*.f64 #s(literal -253/1000 binary64) x) |
(* x (- (* -3/25 x) 253/1000)) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
-253/1000 |
#s(literal -253/1000 binary64) |
(- (* -3/25 x) 253/1000) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
-1000/253 |
#s(literal -1000/253 binary64) |
(- (* 120000/64009 x) 1000/253) |
(fma.f64 #s(literal 120000/64009 binary64) x #s(literal -1000/253 binary64)) |
(- (* x (+ 120000/64009 (* -14400000/16194277 x))) 1000/253) |
(fma.f64 (fma.f64 #s(literal -14400000/16194277 binary64) x #s(literal 120000/64009 binary64)) x #s(literal -1000/253 binary64)) |
(- (* x (+ 120000/64009 (* x (- (* 1728000000/4097152081 x) 14400000/16194277)))) 1000/253) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1728000000/4097152081 binary64) x #s(literal -14400000/16194277 binary64)) x #s(literal 120000/64009 binary64)) x #s(literal -1000/253 binary64)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* x (- (/ 1 x) 253/1000)) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(/ -25/3 x) |
(/.f64 #s(literal -25/3 binary64) x) |
(/ (- (* 1265/72 (/ 1 x)) 25/3) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal 25/3 binary64)) x) |
(/ (- (* 1265/72 (/ 1 x)) (+ 25/3 (/ 64009/1728 (pow x 2)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1265/72 binary64) (/.f64 #s(literal 64009/1728 binary64) x)) x) #s(literal 25/3 binary64)) x) |
(/ (- (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3)))) (+ 25/3 (/ 64009/1728 (pow x 2)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1265/72 binary64) (/.f64 (-.f64 #s(literal 64009/1728 binary64) (/.f64 #s(literal 16194277/207360 binary64) x)) x)) x) #s(literal 25/3 binary64)) x) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (- 253/1000 (/ 1 x)))) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
(* -1 (/ (- 25/3 (* 1265/72 (/ 1 x))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal 25/3 binary64)) x) |
(* -1 (/ (+ 25/3 (* -1 (/ (- 1265/72 (* 64009/1728 (/ 1 x))) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1265/72 binary64) (/.f64 #s(literal 64009/1728 binary64) x)) x) #s(literal 25/3 binary64)) x) |
(* -1 (/ (+ 25/3 (* -1 (/ (+ 1265/72 (* -1 (/ (- 64009/1728 (* 16194277/207360 (/ 1 x))) x))) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1265/72 binary64) (/.f64 (-.f64 #s(literal 64009/1728 binary64) (/.f64 #s(literal 16194277/207360 binary64) x)) x)) x) #s(literal 25/3 binary64)) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 118 |
| 0 | 39 | 117 |
| 1 | 169 | 109 |
| 2 | 1177 | 103 |
| 0 | 9360 | 103 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x #s(literal -3/25 binary64)) x (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
(*.f64 x #s(literal -3/25 binary64)) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) |
(*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) |
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) |
(*.f64 (*.f64 x #s(literal -3/25 binary64)) x) |
(+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)) |
(fma.f64 (+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) |
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3/25 binary64) x) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -253/1000 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal -1 binary64)) (fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -27/15625 binary64) (pow.f64 (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 9/625 binary64) (*.f64 (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal -253/1000 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)))))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3/25 binary64) x) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -27/15625 binary64) (pow.f64 (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -3/25 binary64) x) x) (fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)))))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -27/15625 binary64) (pow.f64 (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 9/625 binary64) (*.f64 (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal -253/1000 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))) |
(pow.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
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(/.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal 759/25000 binary64) x))))) |
(/.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x)) (-.f64 #s(literal 64009/1000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)) (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal -1 binary64))) |
(neg.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) |
(fma.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 (neg.f64 x) #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 3/25 binary64) x) #s(literal -253/1000 binary64)) |
(fma.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal -1 binary64) #s(literal -253/1000 binary64)) |
(fma.f64 #s(literal 3/25 binary64) (neg.f64 x) #s(literal -253/1000 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/25 binary64) x) #s(literal -253/1000 binary64)) |
(fma.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 1 binary64) #s(literal -253/1000 binary64)) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) |
(-.f64 (/.f64 #s(literal 64009/1000000 binary64) (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal -1 binary64)) #s(literal -253/1000 binary64)) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/25 binary64) x)) #s(literal -253/1000 binary64)) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))))) |
(+.f64 #s(literal -253/1000 binary64) (*.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal -1 binary64))) |
(+.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/25 binary64) x))) |
(+.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x)) |
(+.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal -253/1000 binary64)) |
Compiled 11 886 to 1 412 computations (88.1% saved)
13 alts after pruning (3 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 550 | 1 | 551 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 5 | 5 |
| Total | 550 | 13 | 563 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
| ✓ | 99.9% | (fma.f64 (+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
| ✓ | 99.9% | (fma.f64 (*.f64 x #s(literal -3/25 binary64)) x (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
| ▶ | 99.8% | (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) |
| ✓ | 52.4% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
| ✓ | 50.1% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) |
| ▶ | 48.7% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (/.f64 x #s(approx (/ 1 (+ (* x -3/25) -253/1000)) (/.f64 #s(literal -25/3 binary64) x)))) |
| ✓ | 50.1% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
| ▶ | 50.0% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x)) |
| ✓ | 48.8% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
| ✓ | 48.8% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) |
| ✓ | 3.9% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) |
| ✓ | 50.5% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
Compiled 193 to 158 computations (18.1% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) | |
| cost-diff | 1 | (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) | |
| cost-diff | 0 | (/.f64 #s(literal -25/3 binary64) x) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* x -3/25) -253/1000)) (/.f64 #s(literal -25/3 binary64) x)) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ 1 (+ (* x -3/25) -253/1000)) (/.f64 #s(literal -25/3 binary64) x))) | |
| cost-diff | 0 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (/.f64 x #s(approx (/ 1 (+ (* x -3/25) -253/1000)) (/.f64 #s(literal -25/3 binary64) x)))) | |
| cost-diff | 0 | (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x) | |
| cost-diff | 0 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 170 |
| 0 | 48 | 170 |
| 1 | 89 | 170 |
| 2 | 165 | 170 |
| 3 | 377 | 170 |
| 4 | 876 | 170 |
| 5 | 1397 | 170 |
| 6 | 2109 | 170 |
| 7 | 3214 | 170 |
| 8 | 3889 | 170 |
| 9 | 4021 | 170 |
| 10 | 4094 | 170 |
| 11 | 4112 | 170 |
| 12 | 4120 | 170 |
| 13 | 4246 | 170 |
| 14 | 4329 | 170 |
| 15 | 4331 | 170 |
| 16 | 4331 | 170 |
| 0 | 4331 | 162 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x) |
(/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) |
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) |
#s(literal 9/625 binary64) |
(*.f64 x x) |
x |
#s(literal -64009/1000000 binary64) |
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) |
#s(literal -3/25 binary64) |
#s(literal 253/1000 binary64) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (/.f64 x #s(approx (/ 1 (+ (* x -3/25) -253/1000)) (/.f64 #s(literal -25/3 binary64) x)))) |
(/.f64 x #s(approx (/ 1 (+ (* x -3/25) -253/1000)) (/.f64 #s(literal -25/3 binary64) x))) |
x |
#s(approx (/ 1 (+ (* x -3/25) -253/1000)) (/.f64 #s(literal -25/3 binary64) x)) |
(/.f64 #s(literal -25/3 binary64) x) |
#s(literal -25/3 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) |
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) |
#s(literal -9/625 binary64) |
(*.f64 x x) |
x |
#s(literal 64009/1000000 binary64) |
(/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) |
#s(literal -3/25 binary64) |
#s(literal 253/1000 binary64) |
| Outputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x) |
(*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))) |
(/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) |
(/.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) |
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) |
#s(literal 9/625 binary64) |
(*.f64 x x) |
x |
#s(literal -64009/1000000 binary64) |
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) |
#s(literal -3/25 binary64) |
#s(literal 253/1000 binary64) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (/.f64 x #s(approx (/ 1 (+ (* x -3/25) -253/1000)) (/.f64 #s(literal -25/3 binary64) x)))) |
(/.f64 x #s(approx (/ 1 (+ (* x -3/25) -253/1000)) (/.f64 #s(literal -25/3 binary64) x))) |
x |
#s(approx (/ 1 (+ (* x -3/25) -253/1000)) (/.f64 #s(literal -25/3 binary64) x)) |
(/.f64 #s(literal -25/3 binary64) x) |
#s(literal -25/3 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) |
(fma.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) |
(*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))) |
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) |
#s(literal -9/625 binary64) |
(*.f64 x x) |
x |
#s(literal 64009/1000000 binary64) |
(/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) |
#s(literal -3/25 binary64) |
#s(literal 253/1000 binary64) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.140625 | (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) | |
| accuracy | 0.1953125 | (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) | |
| accuracy | 0.26171875 | (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) | |
| accuracy | 0.2718149032249182 | (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) | |
| accuracy | 0.23046875 | (/.f64 x #s(approx (/ 1 (+ (* x -3/25) -253/1000)) (/.f64 #s(literal -25/3 binary64) x))) | |
| accuracy | 0.49609375 | (/.f64 #s(literal -25/3 binary64) x) | |
| accuracy | 31.874957971081415 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (/.f64 x #s(approx (/ 1 (+ (* x -3/25) -253/1000)) (/.f64 #s(literal -25/3 binary64) x)))) | |
| accuracy | 32.526787013682345 | #s(approx (/ 1 (+ (* x -3/25) -253/1000)) (/.f64 #s(literal -25/3 binary64) x)) | |
| accuracy | 0.140625 | (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) | |
| accuracy | 0.2718149032249182 | (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) | |
| accuracy | 15.233050976943103 | (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) | |
| accuracy | 31.874957971081415 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x)) |
| 107.0ms | 256× | 0 | valid |
Compiled 149 to 35 computations (76.5% saved)
const: 40.0ms (42.5% of total)ival-sub: 25.0ms (26.6% of total)ival-mult: 14.0ms (14.9% of total)ival-div: 8.0ms (8.5% of total)ival-add: 6.0ms (6.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x) |
(/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) |
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (/.f64 x #s(approx (/ 1 (+ (* x -3/25) -253/1000)) (/.f64 #s(literal -25/3 binary64) x)))) |
(/.f64 x #s(approx (/ 1 (+ (* x -3/25) -253/1000)) (/.f64 #s(literal -25/3 binary64) x))) |
#s(approx (/ 1 (+ (* x -3/25) -253/1000)) (/.f64 #s(literal -25/3 binary64) x)) |
(/.f64 #s(literal -25/3 binary64) x) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) |
(*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) |
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) |
(*.f64 x x) |
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) |
(/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) |
| Outputs |
|---|
1 |
(+ 1 (* -253/1000 x)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(* -253/1000 x) |
(* x (- (* -3/25 x) 253/1000)) |
-253/1000 |
(- (* -3/25 x) 253/1000) |
-64009/1000000 |
(- (* 9/625 (pow x 2)) 64009/1000000) |
-1000/253 |
(- (* 120000/64009 x) 1000/253) |
(- (* x (+ 120000/64009 (* -14400000/16194277 x))) 1000/253) |
(- (* x (+ 120000/64009 (* x (- (* 1728000000/4097152081 x) 14400000/16194277)))) 1000/253) |
(/ -25/3 x) |
(* 253/1000 x) |
(* x (+ 253/1000 (* 3/25 x))) |
64009/1000000 |
(+ 64009/1000000 (* -9/625 (pow x 2))) |
(pow x 2) |
253/1000 |
(+ 253/1000 (* -3/25 x)) |
(* 1000/253 x) |
(* x (+ 1000/253 (* 120000/64009 x))) |
(* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x))))) |
(* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 x))))))) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -3/25 x) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* 9/625 (pow x 2)) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(/ (- (* 1265/72 (/ 1 x)) 25/3) x) |
(/ (- (* 1265/72 (/ 1 x)) (+ 25/3 (/ 64009/1728 (pow x 2)))) x) |
(/ (- (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3)))) (+ 25/3 (/ 64009/1728 (pow x 2)))) x) |
(* 3/25 (pow x 2)) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* -9/625 (pow x 2)) |
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)) |
(* x (- (* 253/1000 (/ 1 x)) 3/25)) |
-25/3 |
(* -1 (+ 25/3 (* 1265/72 (/ 1 x)))) |
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3) |
(- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x)))) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* -1 (/ (- 25/3 (* 1265/72 (/ 1 x))) x)) |
(* -1 (/ (+ 25/3 (* -1 (/ (- 1265/72 (* 64009/1728 (/ 1 x))) x))) x)) |
(* -1 (/ (+ 25/3 (* -1 (/ (+ 1265/72 (* -1 (/ (- 64009/1728 (* 16194277/207360 (/ 1 x))) x))) x))) x)) |
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x))))) |
(- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 50.0ms | x | @ | 0 | ((- 1 (* x (+ 253/1000 (* x 3/25)))) (* (/ (+ (* 9/625 (* x x)) -64009/1000000) (+ (* x -3/25) 253/1000)) x) (/ (+ (* 9/625 (* x x)) -64009/1000000) (+ (* x -3/25) 253/1000)) (+ (* 9/625 (* x x)) -64009/1000000) (- 1 (* x (+ 253/1000 (* x 3/25)))) (/ x (/ 1 (+ (* x -3/25) -253/1000))) (/ 1 (+ (* x -3/25) -253/1000)) (/ -25/3 x) (- 1 (* (+ (* -9/625 (* x x)) 64009/1000000) (/ x (+ (* -3/25 x) 253/1000)))) (* (+ (* -9/625 (* x x)) 64009/1000000) (/ x (+ (* -3/25 x) 253/1000))) (+ (* -9/625 (* x x)) 64009/1000000) (* x x) (+ (* x -3/25) 253/1000) (/ x (+ (* -3/25 x) 253/1000)) (+ (* -3/25 x) 253/1000)) |
| 3.0ms | x | @ | inf | ((- 1 (* x (+ 253/1000 (* x 3/25)))) (* (/ (+ (* 9/625 (* x x)) -64009/1000000) (+ (* x -3/25) 253/1000)) x) (/ (+ (* 9/625 (* x x)) -64009/1000000) (+ (* x -3/25) 253/1000)) (+ (* 9/625 (* x x)) -64009/1000000) (- 1 (* x (+ 253/1000 (* x 3/25)))) (/ x (/ 1 (+ (* x -3/25) -253/1000))) (/ 1 (+ (* x -3/25) -253/1000)) (/ -25/3 x) (- 1 (* (+ (* -9/625 (* x x)) 64009/1000000) (/ x (+ (* -3/25 x) 253/1000)))) (* (+ (* -9/625 (* x x)) 64009/1000000) (/ x (+ (* -3/25 x) 253/1000))) (+ (* -9/625 (* x x)) 64009/1000000) (* x x) (+ (* x -3/25) 253/1000) (/ x (+ (* -3/25 x) 253/1000)) (+ (* -3/25 x) 253/1000)) |
| 2.0ms | x | @ | -inf | ((- 1 (* x (+ 253/1000 (* x 3/25)))) (* (/ (+ (* 9/625 (* x x)) -64009/1000000) (+ (* x -3/25) 253/1000)) x) (/ (+ (* 9/625 (* x x)) -64009/1000000) (+ (* x -3/25) 253/1000)) (+ (* 9/625 (* x x)) -64009/1000000) (- 1 (* x (+ 253/1000 (* x 3/25)))) (/ x (/ 1 (+ (* x -3/25) -253/1000))) (/ 1 (+ (* x -3/25) -253/1000)) (/ -25/3 x) (- 1 (* (+ (* -9/625 (* x x)) 64009/1000000) (/ x (+ (* -3/25 x) 253/1000)))) (* (+ (* -9/625 (* x x)) 64009/1000000) (/ x (+ (* -3/25 x) 253/1000))) (+ (* -9/625 (* x x)) 64009/1000000) (* x x) (+ (* x -3/25) 253/1000) (/ x (+ (* -3/25 x) 253/1000)) (+ (* -3/25 x) 253/1000)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 143 | 344 |
| 1 | 415 | 332 |
| 2 | 985 | 332 |
| 3 | 2014 | 324 |
| 4 | 3965 | 324 |
| 5 | 7540 | 324 |
| 0 | 8139 | 292 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -253/1000 x)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(* -253/1000 x) |
(* x (- (* -3/25 x) 253/1000)) |
-253/1000 |
(- (* -3/25 x) 253/1000) |
-64009/1000000 |
(- (* 9/625 (pow x 2)) 64009/1000000) |
-1000/253 |
(- (* 120000/64009 x) 1000/253) |
(- (* x (+ 120000/64009 (* -14400000/16194277 x))) 1000/253) |
(- (* x (+ 120000/64009 (* x (- (* 1728000000/4097152081 x) 14400000/16194277)))) 1000/253) |
(/ -25/3 x) |
(* 253/1000 x) |
(* x (+ 253/1000 (* 3/25 x))) |
64009/1000000 |
(+ 64009/1000000 (* -9/625 (pow x 2))) |
(pow x 2) |
253/1000 |
(+ 253/1000 (* -3/25 x)) |
(* 1000/253 x) |
(* x (+ 1000/253 (* 120000/64009 x))) |
(* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x))))) |
(* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 x))))))) |
(* -3/25 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* -3/25 x) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* 9/625 (pow x 2)) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(/ (- (* 1265/72 (/ 1 x)) 25/3) x) |
(/ (- (* 1265/72 (/ 1 x)) (+ 25/3 (/ 64009/1728 (pow x 2)))) x) |
(/ (- (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3)))) (+ 25/3 (/ 64009/1728 (pow x 2)))) x) |
(* 3/25 (pow x 2)) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* -9/625 (pow x 2)) |
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)) |
(* x (- (* 253/1000 (/ 1 x)) 3/25)) |
-25/3 |
(* -1 (+ 25/3 (* 1265/72 (/ 1 x)))) |
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3) |
(- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x)))) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* -1 (/ (- 25/3 (* 1265/72 (/ 1 x))) x)) |
(* -1 (/ (+ 25/3 (* -1 (/ (- 1265/72 (* 64009/1728 (/ 1 x))) x))) x)) |
(* -1 (/ (+ 25/3 (* -1 (/ (+ 1265/72 (* -1 (/ (- 64009/1728 (* 16194277/207360 (/ 1 x))) x))) x))) x)) |
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x))))) |
(- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -253/1000 x)) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* -253/1000 x) |
(*.f64 #s(literal -253/1000 binary64) x) |
(* x (- (* -3/25 x) 253/1000)) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
-253/1000 |
#s(literal -253/1000 binary64) |
(- (* -3/25 x) 253/1000) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
-64009/1000000 |
#s(literal -64009/1000000 binary64) |
(- (* 9/625 (pow x 2)) 64009/1000000) |
(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) |
-1000/253 |
#s(literal -1000/253 binary64) |
(- (* 120000/64009 x) 1000/253) |
(fma.f64 #s(literal 120000/64009 binary64) x #s(literal -1000/253 binary64)) |
(- (* x (+ 120000/64009 (* -14400000/16194277 x))) 1000/253) |
(fma.f64 (fma.f64 #s(literal -14400000/16194277 binary64) x #s(literal 120000/64009 binary64)) x #s(literal -1000/253 binary64)) |
(- (* x (+ 120000/64009 (* x (- (* 1728000000/4097152081 x) 14400000/16194277)))) 1000/253) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1728000000/4097152081 binary64) x #s(literal -14400000/16194277 binary64)) x #s(literal 120000/64009 binary64)) x #s(literal -1000/253 binary64)) |
(/ -25/3 x) |
(/.f64 #s(literal -25/3 binary64) x) |
(* 253/1000 x) |
(*.f64 #s(literal 253/1000 binary64) x) |
(* x (+ 253/1000 (* 3/25 x))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
64009/1000000 |
#s(literal 64009/1000000 binary64) |
(+ 64009/1000000 (* -9/625 (pow x 2))) |
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) |
(pow x 2) |
(*.f64 x x) |
253/1000 |
#s(literal 253/1000 binary64) |
(+ 253/1000 (* -3/25 x)) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) |
(* 1000/253 x) |
(*.f64 #s(literal 1000/253 binary64) x) |
(* x (+ 1000/253 (* 120000/64009 x))) |
(*.f64 (fma.f64 #s(literal 120000/64009 binary64) x #s(literal 1000/253 binary64)) x) |
(* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 14400000/16194277 binary64) x #s(literal 120000/64009 binary64)) x #s(literal 1000/253 binary64)) x) |
(* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1728000000/4097152081 binary64) x #s(literal 14400000/16194277 binary64)) x #s(literal 120000/64009 binary64)) x #s(literal 1000/253 binary64)) x) |
(* -3/25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* -3/25 x) |
(*.f64 #s(literal -3/25 binary64) x) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
(* 9/625 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9/625 binary64)) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) |
(/ (- (* 1265/72 (/ 1 x)) 25/3) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal 25/3 binary64)) x) |
(/ (- (* 1265/72 (/ 1 x)) (+ 25/3 (/ 64009/1728 (pow x 2)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1265/72 binary64) (/.f64 #s(literal 64009/1728 binary64) x)) x) #s(literal 25/3 binary64)) x) |
(/ (- (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3)))) (+ 25/3 (/ 64009/1728 (pow x 2)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1265/72 binary64) (/.f64 (-.f64 #s(literal 64009/1728 binary64) (/.f64 #s(literal 16194277/207360 binary64) x)) x)) x) #s(literal 25/3 binary64)) x) |
(* 3/25 (pow x 2)) |
(*.f64 (*.f64 #s(literal 3/25 binary64) x) x) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) |
(* -9/625 (pow x 2)) |
(*.f64 #s(literal -9/625 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)) |
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) |
(* x (- (* 253/1000 (/ 1 x)) 3/25)) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) |
-25/3 |
#s(literal -25/3 binary64) |
(* -1 (+ 25/3 (* 1265/72 (/ 1 x)))) |
(-.f64 (/.f64 #s(literal -1265/72 binary64) x) #s(literal 25/3 binary64)) |
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3) |
(-.f64 #s(literal -25/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 64009/1728 binary64) x) #s(literal -1265/72 binary64)) x)) |
(- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x)))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -64009/1728 binary64) (/.f64 #s(literal 16194277/207360 binary64) x)) x) #s(literal 1265/72 binary64)) x) #s(literal 25/3 binary64)) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(* -1 (/ (- 25/3 (* 1265/72 (/ 1 x))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal 25/3 binary64)) x) |
(* -1 (/ (+ 25/3 (* -1 (/ (- 1265/72 (* 64009/1728 (/ 1 x))) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1265/72 binary64) (/.f64 #s(literal 64009/1728 binary64) x)) x) #s(literal 25/3 binary64)) x) |
(* -1 (/ (+ 25/3 (* -1 (/ (+ 1265/72 (* -1 (/ (- 64009/1728 (* 16194277/207360 (/ 1 x))) x))) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1265/72 binary64) (/.f64 (-.f64 #s(literal 64009/1728 binary64) (/.f64 #s(literal 16194277/207360 binary64) x)) x)) x) #s(literal 25/3 binary64)) x) |
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x))))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) |
(- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -64009/1728 binary64) (/.f64 #s(literal 16194277/207360 binary64) x)) x) #s(literal 1265/72 binary64)) x) #s(literal 25/3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 154 |
| 0 | 48 | 154 |
| 1 | 224 | 136 |
| 2 | 1622 | 136 |
| 0 | 8453 | 125 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x) |
(/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) |
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (/.f64 x #s(approx (/ 1 (+ (* x -3/25) -253/1000)) (/.f64 #s(literal -25/3 binary64) x)))) |
(/.f64 x #s(approx (/ 1 (+ (* x -3/25) -253/1000)) (/.f64 #s(literal -25/3 binary64) x))) |
#s(approx (/ 1 (+ (* x -3/25) -253/1000)) (/.f64 #s(literal -25/3 binary64) x)) |
(/.f64 #s(literal -25/3 binary64) x) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) |
(*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) |
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) |
(*.f64 x x) |
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) |
(/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) |
| Outputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) #s(literal -1 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) |
(*.f64 (/.f64 x (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (fma.f64 #s(literal 729/244140625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81/390625 binary64) (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -576081/625000000 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))) (/.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))))) |
(*.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) (/.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))) #s(literal -1 binary64)))) |
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(fma.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)))) (/.f64 (*.f64 #s(literal -3/25 binary64) (*.f64 #s(literal -3/25 binary64) x)) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64))))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)))) (/.f64 (*.f64 #s(literal 3/25 binary64) (*.f64 #s(literal 3/25 binary64) x)) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64))))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)))) (/.f64 (*.f64 #s(literal 9/625 binary64) x) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64))))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 (/.f64 x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 (*.f64 x x) #s(literal 9/625 binary64)))) (/.f64 (*.f64 #s(literal -3/25 binary64) (*.f64 #s(literal -3/25 binary64) x)) (pow.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 (/.f64 x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 (*.f64 x x) #s(literal 9/625 binary64)))) (/.f64 (*.f64 #s(literal 3/25 binary64) (*.f64 #s(literal 3/25 binary64) x)) (pow.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 (/.f64 x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 (*.f64 x x) #s(literal 9/625 binary64)))) (/.f64 (*.f64 #s(literal 9/625 binary64) x) (pow.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 1 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) (/.f64 (*.f64 #s(literal -3/25 binary64) (*.f64 #s(literal -3/25 binary64) x)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) (/.f64 (*.f64 #s(literal 3/25 binary64) (*.f64 #s(literal 3/25 binary64) x)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) (/.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 9/625 binary64) x) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 9/625 binary64) x) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))) (/.f64 x (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal -3/25 binary64) (*.f64 #s(literal -3/25 binary64) x)) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 3/25 binary64) (*.f64 #s(literal 3/25 binary64) x)) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 9/625 binary64) x) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 (/.f64 x (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64))) (/.f64 (*.f64 #s(literal -3/25 binary64) (*.f64 #s(literal -3/25 binary64) x)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64)))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 (/.f64 x (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64))) (/.f64 (*.f64 #s(literal 3/25 binary64) (*.f64 #s(literal 3/25 binary64) x)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64)))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 (/.f64 x (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64))) (/.f64 (*.f64 #s(literal 9/625 binary64) x) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64)))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 9/625 binary64) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) x (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 3/25 binary64) x) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))) (/.f64 (*.f64 #s(literal 3/25 binary64) x) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 (/.f64 (*.f64 #s(literal -3/25 binary64) x) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))) (/.f64 (*.f64 #s(literal -3/25 binary64) x) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 3/25 binary64) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 (/.f64 (*.f64 #s(literal -3/25 binary64) x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 (*.f64 x x) #s(literal 9/625 binary64)))) (/.f64 (*.f64 #s(literal -3/25 binary64) x) (pow.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 3/25 binary64) x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 (*.f64 x x) #s(literal 9/625 binary64)))) (/.f64 (*.f64 #s(literal 3/25 binary64) x) (pow.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))) (/.f64 (*.f64 #s(literal -3/25 binary64) (*.f64 #s(literal -3/25 binary64) x)) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))) (/.f64 (*.f64 #s(literal 3/25 binary64) (*.f64 #s(literal 3/25 binary64) x)) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))) (/.f64 (*.f64 #s(literal 9/625 binary64) x) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 9/625 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 (neg.f64 x) #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) |
(fma.f64 (*.f64 #s(literal -3/25 binary64) x) (/.f64 (*.f64 #s(literal -3/25 binary64) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 1 binary64) #s(literal 253/1000 binary64)) |
(fma.f64 #s(literal -3/25 binary64) (/.f64 (*.f64 x (*.f64 #s(literal -3/25 binary64) x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) |
(fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 #s(literal 3/25 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 3/25 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 x (/.f64 (*.f64 #s(literal -3/25 binary64) (*.f64 #s(literal -3/25 binary64) x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 x (/.f64 (*.f64 #s(literal 3/25 binary64) (*.f64 #s(literal 3/25 binary64) x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 x (/.f64 (*.f64 #s(literal 9/625 binary64) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) |
(-.f64 (/.f64 #s(literal 16194277/1000000000 binary64) (+.f64 #s(literal 64009/1000000 binary64) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (*.f64 #s(literal 759/25000 binary64) x)))) (/.f64 (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 64009/1000000 binary64) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (*.f64 #s(literal 759/25000 binary64) x))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (+.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64))))) (/.f64 #s(literal -16194277/1000000000 binary64) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (+.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) (/.f64 (/.f64 #s(literal 4097152081/1000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9/625 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 9/625 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9/625 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) |
(-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal -253/1000 binary64)) |
(-.f64 #s(literal 253/1000 binary64) (/.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 1 binary64))) |
(-.f64 #s(literal 253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x)) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9/625 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) |
(+.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) |
(+.f64 #s(literal 253/1000 binary64) (neg.f64 (*.f64 #s(literal 3/25 binary64) x))) |
(+.f64 #s(literal 253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x)) |
Compiled 25 088 to 3 082 computations (87.7% saved)
10 alts after pruning (1 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 750 | 1 | 751 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 0 | 3 |
| Done | 1 | 9 | 10 |
| Total | 754 | 10 | 764 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
| ✓ | 99.9% | (fma.f64 (+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
| ✓ | 99.9% | (fma.f64 (*.f64 x #s(literal -3/25 binary64)) x (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
| 57.6% | (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))) | |
| ✓ | 52.4% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
| ✓ | 50.1% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
| ✓ | 48.8% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
| ✓ | 48.8% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) |
| ✓ | 3.9% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) |
| ✓ | 50.5% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
Compiled 361 to 183 computations (49.3% saved)
| Inputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
(fma.f64 (*.f64 #s(literal -3/25 binary64) x) x (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 x #s(literal -3/25 binary64)) x (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (/.f64 x #s(approx (/ 1 (+ (* x -3/25) -253/1000)) (/.f64 #s(literal -25/3 binary64) x)))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) |
| Outputs |
|---|
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
3 calls:
| 5.0ms | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
| 5.0ms | x |
| 4.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| 99.9% | 1 | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
Compiled 17 to 15 computations (11.8% saved)
| Inputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
| Outputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
3 calls:
| 2.0ms | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
| 2.0ms | x |
| 2.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | x |
| 98.7% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| 98.7% | 2 | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
Compiled 17 to 15 computations (11.8% saved)
| Inputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
| Outputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
2 calls:
| 2.0ms | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
| 2.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| 97.9% | 2 | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
Compiled 16 to 14 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) |
| Outputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) |
2 calls:
| 2.0ms | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
| 2.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| 97.9% | 2 | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
Compiled 16 to 14 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
3 calls:
| 2.0ms | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
| 2.0ms | x |
| 1.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.4% | 1 | x |
| 52.4% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| 52.4% | 1 | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
Compiled 17 to 15 computations (11.8% saved)
| Inputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) |
| Outputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) |
3 calls:
| 1.0ms | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
| 1.0ms | x |
| 1.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.5% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| 52.1% | 2 | x |
| 50.5% | 1 | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
Compiled 17 to 15 computations (11.8% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
2 calls:
| 2.0ms | x |
| 1.0ms | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.5% | 1 | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
| 50.5% | 1 | x |
Compiled 8 to 7 computations (12.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.983258543430611e-8 | 95.63343324476634 |
Compiled 12 to 12 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.983258543430611e-8 | 95.63343324476634 |
Compiled 12 to 12 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.983258543430611e-8 | 95.63343324476634 |
Compiled 12 to 12 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 3.5506944784738565e-7 | 27.19572792430182 |
| 10.0ms | 144× | 0 | valid |
Compiled 282 to 264 computations (6.4% saved)
const: 4.0ms (56.9% of total)ival-mult: 2.0ms (28.4% of total)ival-sub: 1.0ms (14.2% of total)ival-add: 1.0ms (14.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 184 |
| 1 | 57 | 184 |
| 2 | 95 | 184 |
| 3 | 160 | 184 |
| 4 | 297 | 184 |
| 5 | 437 | 184 |
| 6 | 998 | 184 |
| 7 | 2386 | 184 |
| 8 | 3814 | 184 |
| 9 | 6554 | 184 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(if (<=.f64 (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))) |
(if (<=.f64 (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))) |
(if (<=.f64 (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
(if (<=.f64 x #s(literal 2 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(if (<=.f64 (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))) |
(if (<=.f64 (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))) |
(if (<=.f64 (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
(if (<=.f64 x #s(literal 2 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 85 |
| 0 | 28 | 85 |
| 1 | 115 | 85 |
| 2 | 848 | 77 |
| 0 | 9271 | 77 |
| 0 | 35 | 82 |
| 1 | 95 | 82 |
| 2 | 282 | 82 |
| 3 | 674 | 82 |
| 4 | 1205 | 82 |
| 5 | 2583 | 82 |
| 6 | 4265 | 82 |
| 7 | 5392 | 82 |
| 8 | 6744 | 82 |
| 9 | 7773 | 82 |
| 0 | 8156 | 69 |
| 0 | 35 | 84 |
| 1 | 93 | 84 |
| 2 | 218 | 81 |
| 3 | 521 | 81 |
| 4 | 1091 | 81 |
| 5 | 2552 | 81 |
| 6 | 4213 | 81 |
| 7 | 5337 | 81 |
| 8 | 6629 | 81 |
| 9 | 7672 | 81 |
| 0 | 8058 | 69 |
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 55 | 24 |
| 2 | 428 | 24 |
| 3 | 4376 | 24 |
| 0 | 8326 | 20 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 268 to 117 computations (56.3% saved)
Compiled 386 to 104 computations (73.1% saved)
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