
Time bar (total: 5.4s)
| 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)
| 598.0ms | 8 256× | 0 | valid |
const: 224.0ms (51.6% of total)ival-mult: 116.0ms (26.7% of total)ival-sub: 43.0ms (9.9% of total)ival-add: 36.0ms (8.3% of total)ival-true: 6.0ms (1.4% of total)exact: 6.0ms (1.4% of total)ival-assert: 3.0ms (0.7% 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 |
| 38.0ms | 510× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
Compiled 97 to 36 computations (62.9% saved)
const: 13.0ms (50.7% of total)ival-mult: 7.0ms (27.3% of total)ival-add: 2.0ms (7.8% of total)ival-sub: 2.0ms (7.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 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 | 128 | (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) | |
| cost-diff | 128 | (-.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 | 0.01171875 | (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) | |
| accuracy | 0.09765625 | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) | |
| accuracy | 0.2421875 | (*.f64 x #s(literal 3/25 binary64)) |
| 19.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 58 to 18 computations (69% saved)
const: 6.0ms (48.3% of total)ival-mult: 3.0ms (24.2% of total)ival-add: 1.0ms (8.1% of total)ival-sub: 1.0ms (8.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (*.f64 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 -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) |
(/.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)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 319 | 9 | 328 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 320 | 9 | 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 x x) #s(literal -3/25 binary64) (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))))) | |
| ▶ | 99.7% | (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))))) |
| ▶ | 50.8% | (-.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ 253/1000 (* x 3/25)) #s(literal 253/1000 binary64)))) |
| 50.8% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) | |
| ▶ | 51.2% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
| 50.4% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) | |
| ▶ | 48.9% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
Compiled 226 to 188 computations (16.8% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) | |
| cost-diff | 0 | (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))))) | |
| 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 | #s(approx (+ 253/1000 (* x 3/25)) #s(literal 253/1000 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(approx (+ 253/1000 (* x 3/25)) #s(literal 253/1000 binary64))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ 253/1000 (* x 3/25)) #s(literal 253/1000 binary64)))) | |
| cost-diff | 0 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 320 | (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 149 |
| 0 | 46 | 149 |
| 1 | 91 | 148 |
| 2 | 171 | 146 |
| 3 | 294 | 146 |
| 4 | 526 | 146 |
| 5 | 799 | 146 |
| 6 | 1363 | 146 |
| 7 | 2730 | 146 |
| 8 | 3537 | 146 |
| 9 | 3733 | 146 |
| 10 | 3811 | 146 |
| 11 | 3816 | 146 |
| 12 | 3821 | 146 |
| 13 | 4099 | 146 |
| 14 | 4255 | 146 |
| 15 | 4278 | 146 |
| 16 | 4278 | 146 |
| 17 | 4278 | 146 |
| 0 | 4278 | 139 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
(*.f64 x 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)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ 253/1000 (* x 3/25)) #s(literal 253/1000 binary64)))) |
#s(literal 1 binary64) |
(*.f64 x #s(approx (+ 253/1000 (* x 3/25)) #s(literal 253/1000 binary64))) |
x |
#s(approx (+ 253/1000 (* x 3/25)) #s(literal 253/1000 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 (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) |
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))))) |
#s(literal 1 binary64) |
(*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) |
x |
(/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(*.f64 #s(literal 9/625 binary64) x) |
#s(literal 9/625 binary64) |
#s(literal -64009/1000000 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 |
|---|
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (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 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)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ 253/1000 (* x 3/25)) #s(literal 253/1000 binary64)))) |
(fma.f64 (neg.f64 x) #s(approx (+ 253/1000 (* x 3/25)) #s(literal 253/1000 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x #s(approx (+ 253/1000 (* x 3/25)) #s(literal 253/1000 binary64))) |
(*.f64 #s(approx (+ 253/1000 (* x 3/25)) #s(literal 253/1000 binary64)) x) |
x |
#s(approx (+ 253/1000 (* x 3/25)) #s(literal 253/1000 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 (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) |
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #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))) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (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 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))) |
x |
(/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (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)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(*.f64 #s(literal 9/625 binary64) x) |
#s(literal 9/625 binary64) |
#s(literal -64009/1000000 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 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09765625 | (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) | |
| accuracy | 0.1171875 | (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) | |
| accuracy | 0.15234375 | (*.f64 #s(literal 9/625 binary64) x) | |
| accuracy | 12.77527077899167 | (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) | |
| accuracy | 0.09765625 | (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) | |
| accuracy | 0.11328125 | (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) | |
| accuracy | 31.14189530280337 | #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 #s(literal 1 binary64) (*.f64 x #s(approx (+ 253/1000 (* x 3/25)) #s(literal 253/1000 binary64)))) | |
| accuracy | 0.09765625 | (*.f64 x #s(approx (+ 253/1000 (* x 3/25)) #s(literal 253/1000 binary64))) | |
| accuracy | 31.889219937478227 | #s(approx (+ 253/1000 (* x 3/25)) #s(literal 253/1000 binary64)) | |
| accuracy | 32.70727296946302 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0234375 | (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) | |
| accuracy | 0.0703125 | (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
| 87.0ms | 254× | 0 | valid |
| 1.0ms | 2× | 1 | valid |
Compiled 298 to 61 computations (79.5% saved)
ival-mult: 30.0ms (43.7% of total)const: 18.0ms (26.2% of total)ival-add: 16.0ms (23.3% of total)ival-sub: 3.0ms (4.4% of total)ival-div: 2.0ms (2.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
(*.f64 x x) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ 253/1000 (* x 3/25)) #s(literal 253/1000 binary64)))) |
(*.f64 x #s(approx (+ 253/1000 (* x 3/25)) #s(literal 253/1000 binary64))) |
#s(approx (+ 253/1000 (* x 3/25)) #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 (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)) |
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))))) |
(*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(*.f64 #s(literal 9/625 binary64) x) |
(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))) |
(pow x 2) |
(* 253/1000 x) |
(* x (+ 253/1000 (* 3/25 x))) |
253/1000 |
(+ 253/1000 (* 3/25 x)) |
(* -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) |
(* 9/625 x) |
(- (* 3/25 x) 253/1000) |
(* -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 (- (/ 1 x) 253/1000)) |
(* 3/25 (pow x 2)) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* 3/25 x) |
(* x (+ 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))))) |
(* x (- 3/25 (* 253/1000 (/ 1 x)))) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* -1 (* x (- 253/1000 (/ 1 x)))) |
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((+ (* (* x x) -3/25) (+ (* -253/1000 x) 1)) (* x x) (+ (* -253/1000 x) 1) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* x (+ 253/1000 (* x 3/25))) (+ 253/1000 (* x 3/25)) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (- 1 (* x (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* 3/25 x) -253/1000)))) (* x (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* 3/25 x) -253/1000))) (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* 3/25 x) -253/1000)) (+ (* (* 9/625 x) x) -64009/1000000) (* 9/625 x) (+ (* 3/25 x) -253/1000)) |
| 2.0ms | x | @ | inf | ((+ (* (* x x) -3/25) (+ (* -253/1000 x) 1)) (* x x) (+ (* -253/1000 x) 1) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* x (+ 253/1000 (* x 3/25))) (+ 253/1000 (* x 3/25)) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (- 1 (* x (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* 3/25 x) -253/1000)))) (* x (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* 3/25 x) -253/1000))) (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* 3/25 x) -253/1000)) (+ (* (* 9/625 x) x) -64009/1000000) (* 9/625 x) (+ (* 3/25 x) -253/1000)) |
| 2.0ms | x | @ | 0 | ((+ (* (* x x) -3/25) (+ (* -253/1000 x) 1)) (* x x) (+ (* -253/1000 x) 1) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* x (+ 253/1000 (* x 3/25))) (+ 253/1000 (* x 3/25)) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (- 1 (* x (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* 3/25 x) -253/1000)))) (* x (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* 3/25 x) -253/1000))) (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* 3/25 x) -253/1000)) (+ (* (* 9/625 x) x) -64009/1000000) (* 9/625 x) (+ (* 3/25 x) -253/1000)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 156 |
| 1 | 146 | 156 |
| 2 | 381 | 156 |
| 3 | 820 | 156 |
| 4 | 1502 | 156 |
| 5 | 3224 | 156 |
| 6 | 5131 | 156 |
| 7 | 6424 | 156 |
| 8 | 7742 | 156 |
| 0 | 8073 | 134 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -253/1000 x)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(pow x 2) |
(* 253/1000 x) |
(* x (+ 253/1000 (* 3/25 x))) |
253/1000 |
(+ 253/1000 (* 3/25 x)) |
(* -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) |
(* 9/625 x) |
(- (* 3/25 x) 253/1000) |
(* -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 (- (/ 1 x) 253/1000)) |
(* 3/25 (pow x 2)) |
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) |
(* 3/25 x) |
(* x (+ 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))))) |
(* x (- 3/25 (* 253/1000 (/ 1 x)))) |
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) |
(* -1 (* x (- 253/1000 (/ 1 x)))) |
(* -1 (* x (- (* 253/1000 (/ 1 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)) |
(pow x 2) |
(*.f64 x 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) |
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 (- (* -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 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) |
(* 9/625 x) |
(*.f64 #s(literal 9/625 binary64) x) |
(- (* 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)) |
(* -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)) |
(* 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) |
(* 3/25 x) |
(*.f64 #s(literal 3/25 binary64) x) |
(* x (+ 3/25 (* 253/1000 (/ 1 x)))) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 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 #s(literal 9/625 binary64) (*.f64 x x)) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) |
(* x (- 3/25 (* 253/1000 (/ 1 x)))) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 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)) |
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25))) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 132 |
| 0 | 46 | 132 |
| 1 | 211 | 113 |
| 2 | 1761 | 113 |
| 0 | 8420 | 104 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
(*.f64 x x) |
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ 253/1000 (* x 3/25)) #s(literal 253/1000 binary64)))) |
(*.f64 x #s(approx (+ 253/1000 (* x 3/25)) #s(literal 253/1000 binary64))) |
#s(approx (+ 253/1000 (* x 3/25)) #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 (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)) |
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))))) |
(*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(*.f64 #s(literal 9/625 binary64) x) |
(fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) |
| Outputs |
|---|
(*.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 #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 (pow.f64 (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) #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 #s(literal -253/1000 binary64) x #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) (+.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 1 binary64) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64)) (pow.f64 (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal -1 binary64)) (*.f64 #s(literal -253/1000 binary64) x))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 6 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 x #s(literal 4 binary64)) #s(literal 9/625 binary64) (*.f64 (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))))))) |
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64)) (pow.f64 (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal -1 binary64)) (*.f64 #s(literal -253/1000 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 6 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -3/25 binary64) x) x) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))))))) |
(*.f64 (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 6 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 x #s(literal 4 binary64)) #s(literal 9/625 binary64) (*.f64 (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -253/1000 binary64) x #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))) |
(pow.f64 (/.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))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64))) (*.f64 #s(literal 64009/1000000 binary64) (*.f64 x x))) (-.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (*.f64 #s(literal -253/1000 binary64) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 64009/1000000 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)))) (-.f64 (*.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))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal -1 binary64)) (*.f64 #s(literal -253/1000 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal -1 binary64)) (*.f64 #s(literal -253/1000 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal -1 binary64)) (*.f64 #s(literal -253/1000 binary64) x))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal -1 binary64)) (*.f64 #s(literal -253/1000 binary64) x))) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal -1 binary64)) (*.f64 #s(literal -253/1000 binary64) x))) (/.f64 (pow.f64 (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal -1 binary64)) (*.f64 #s(literal -253/1000 binary64) x))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal -1 binary64)) (*.f64 #s(literal -253/1000 binary64) x))) (/.f64 (pow.f64 (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal -1 binary64)) (*.f64 #s(literal -253/1000 binary64) x))))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -253/1000 binary64) x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 64009/1000000 binary64) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (*.f64 #s(literal -253/1000 binary64) x))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) #s(literal 3 binary64))) (fma.f64 #s(literal 64009/1000000 binary64) (*.f64 x x) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))) (*.f64 (*.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 3 binary64))) (+.f64 #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)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))))) |
(/.f64 (neg.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))) (neg.f64 (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)))) |
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(fma.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) 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 #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 #s(literal 3/25 binary64) 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) x #s(literal -253/1000 binary64)) |
(fma.f64 #s(literal -3/25 binary64) (/.f64 (*.f64 (*.f64 #s(literal -3/25 binary64) 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 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 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x))) (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 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 4 binary64)) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #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 #s(literal 9/625 binary64) x) x #s(literal 64009/1000000 binary64))) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)))) |
(-.f64 (/.f64 #s(literal 64009/1000000 binary64) (neg.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) (neg.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) (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 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) (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) (-.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)) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) 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))))) |
(+.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal -253/1000 binary64)) |
(+.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x)) |
Compiled 18 254 to 2 500 computations (86.3% saved)
12 alts after pruning (8 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 675 | 4 | 679 |
| Fresh | 0 | 4 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 676 | 12 | 688 |
| 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 x x) #s(literal -3/25 binary64) (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))))) |
| ✓ | 99.7% | (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))))) |
| 50.8% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) | |
| 42.5% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) | |
| ✓ | 51.2% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
| ▶ | 51.1% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x)) |
| 50.4% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) | |
| ▶ | 50.3% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) (*.f64 #s(literal -3/25 binary64) x)) x)) |
| ▶ | 3.8% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) |
| ✓ | 48.9% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
Compiled 325 to 264 computations (18.8% saved)
| 1× | egg-herbie |
Found 17 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 | 128 | (-.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 | (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (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 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x)) | |
| cost-diff | 0 | (*.f64 #s(literal -3/25 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (* -3/25 x) -253/1000) (*.f64 #s(literal -3/25 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* -3/25 x) -253/1000) (*.f64 #s(literal -3/25 binary64) x)) x) | |
| cost-diff | 0 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) (*.f64 #s(literal -3/25 binary64) x)) 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 -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: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 210 |
| 0 | 55 | 210 |
| 1 | 97 | 210 |
| 2 | 179 | 204 |
| 3 | 414 | 204 |
| 4 | 917 | 204 |
| 5 | 1431 | 204 |
| 6 | 2151 | 204 |
| 7 | 3255 | 204 |
| 8 | 3909 | 204 |
| 9 | 3997 | 204 |
| 10 | 4039 | 204 |
| 11 | 4060 | 204 |
| 12 | 4070 | 204 |
| 13 | 4194 | 204 |
| 14 | 4293 | 204 |
| 15 | 4349 | 204 |
| 16 | 4349 | 204 |
| 0 | 4349 | 203 |
| 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)))) (*.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 #s(approx (+ (* -3/25 x) -253/1000) (*.f64 #s(literal -3/25 binary64) x)) x)) |
(*.f64 #s(approx (+ (* -3/25 x) -253/1000) (*.f64 #s(literal -3/25 binary64) x)) x) |
#s(approx (+ (* -3/25 x) -253/1000) (*.f64 #s(literal -3/25 binary64) x)) |
(*.f64 #s(literal -3/25 binary64) x) |
#s(literal -3/25 binary64) |
x |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x)) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x) |
(/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(*.f64 #s(literal 9/625 binary64) x) |
#s(literal 9/625 binary64) |
x |
#s(literal -64009/1000000 binary64) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) |
#s(literal -3/25 binary64) |
#s(literal 253/1000 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 |
|---|
(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)))) (*.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 #s(approx (+ (* -3/25 x) -253/1000) (*.f64 #s(literal -3/25 binary64) x)) x)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) (*.f64 x #s(literal -3/25 binary64))) x)) |
(*.f64 #s(approx (+ (* -3/25 x) -253/1000) (*.f64 #s(literal -3/25 binary64) x)) x) |
(*.f64 #s(approx (+ (* -3/25 x) -253/1000) (*.f64 x #s(literal -3/25 binary64))) x) |
#s(approx (+ (* -3/25 x) -253/1000) (*.f64 #s(literal -3/25 binary64) x)) |
#s(approx (+ (* -3/25 x) -253/1000) (*.f64 x #s(literal -3/25 binary64))) |
(*.f64 #s(literal -3/25 binary64) x) |
(*.f64 x #s(literal -3/25 binary64)) |
#s(literal -3/25 binary64) |
x |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x) |
(*.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) |
(/.f64 (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))) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(*.f64 #s(literal 9/625 binary64) x) |
#s(literal 9/625 binary64) |
x |
#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)) |
#s(literal -3/25 binary64) |
#s(literal 253/1000 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 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 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) |
(/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) |
(/.f64 x (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)) |
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) |
#s(literal -3/25 binary64) |
#s(literal 253/1000 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1171875 | (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) | |
| accuracy | 0.1171875 | (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) | |
| accuracy | 0.1484375 | (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) | |
| accuracy | 0.34375 | (*.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 | 0.1171875 | (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) | |
| accuracy | 0.15234375 | (*.f64 #s(literal 9/625 binary64) x) | |
| accuracy | 12.77527077899167 | (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) | |
| accuracy | 31.14189530280337 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x)) | |
| accuracy | 0.09765625 | (*.f64 #s(approx (+ (* -3/25 x) -253/1000) (*.f64 #s(literal -3/25 binary64) x)) x) | |
| accuracy | 0.2421875 | (*.f64 #s(literal -3/25 binary64) x) | |
| accuracy | 31.14189530280337 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) (*.f64 #s(literal -3/25 binary64) x)) x)) | |
| accuracy | 31.37623783357544 | #s(approx (+ (* -3/25 x) -253/1000) (*.f64 #s(literal -3/25 binary64) x)) | |
| accuracy | 0.09765625 | (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) | |
| accuracy | 31.14189530280337 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) | |
| accuracy | 31.889219937478227 | #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) | |
| accuracy | 0.05859375 | (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) | |
| accuracy | 0.11328125 | (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) |
| 88.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 402 to 72 computations (82.1% saved)
const: 44.0ms (61.2% of total)ival-mult: 15.0ms (20.9% of total)ival-add: 7.0ms (9.7% of total)ival-div: 3.0ms (4.2% of total)ival-sub: 2.0ms (2.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (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)))) (*.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 #s(approx (+ (* -3/25 x) -253/1000) (*.f64 #s(literal -3/25 binary64) x)) x)) |
(*.f64 #s(approx (+ (* -3/25 x) -253/1000) (*.f64 #s(literal -3/25 binary64) x)) x) |
#s(approx (+ (* -3/25 x) -253/1000) (*.f64 #s(literal -3/25 binary64) x)) |
(*.f64 #s(literal -3/25 binary64) x) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x)) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x) |
(/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 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))))) |
(*.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) |
(*.f64 #s(literal 9/625 binary64) x) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) |
(/.f64 x (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 |
(- (* -3/25 x) 253/1000) |
(* -253/1000 x) |
(* x (- (* -3/25 x) 253/1000)) |
(* -3/25 x) |
-64009/1000000 |
(- (* 9/625 (pow x 2)) 64009/1000000) |
(* 253/1000 x) |
(* x (+ 253/1000 (* 3/25 x))) |
64009/1000000 |
(+ 64009/1000000 (* -9/625 (pow x 2))) |
(pow x 2) |
(* 9/625 x) |
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))))) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* 9/625 (pow x 2)) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(* 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 (* 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 | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | ((+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 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)))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (* -3/25 x) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* -3/25 x) 253/1000)) x) (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* -3/25 x) 253/1000)) (+ (* (* 9/625 x) x) -64009/1000000) (- 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) (* 9/625 x) (+ (* -3/25 x) 253/1000) (/ x (+ (* -3/25 x) 253/1000))) |
| 3.0ms | x | @ | inf | ((+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 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)))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (* -3/25 x) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* -3/25 x) 253/1000)) x) (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* -3/25 x) 253/1000)) (+ (* (* 9/625 x) x) -64009/1000000) (- 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) (* 9/625 x) (+ (* -3/25 x) 253/1000) (/ x (+ (* -3/25 x) 253/1000))) |
| 2.0ms | x | @ | -inf | ((+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 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)))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (* -3/25 x) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* -3/25 x) 253/1000)) x) (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* -3/25 x) 253/1000)) (+ (* (* 9/625 x) x) -64009/1000000) (- 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) (* 9/625 x) (+ (* -3/25 x) 253/1000) (/ x (+ (* -3/25 x) 253/1000))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 238 |
| 1 | 277 | 237 |
| 2 | 664 | 234 |
| 3 | 1355 | 234 |
| 4 | 2453 | 230 |
| 5 | 5524 | 230 |
| 0 | 8322 | 204 |
| 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) |
(* -253/1000 x) |
(* x (- (* -3/25 x) 253/1000)) |
(* -3/25 x) |
-64009/1000000 |
(- (* 9/625 (pow x 2)) 64009/1000000) |
(* 253/1000 x) |
(* x (+ 253/1000 (* 3/25 x))) |
64009/1000000 |
(+ 64009/1000000 (* -9/625 (pow x 2))) |
(pow x 2) |
(* 9/625 x) |
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))))) |
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) |
(* 9/625 (pow x 2)) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(* 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 (* 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 |
#s(literal -253/1000 binary64) |
(- (* -3/25 x) 253/1000) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 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) |
(* -3/25 x) |
(*.f64 #s(literal -3/25 binary64) x) |
-64009/1000000 |
#s(literal -64009/1000000 binary64) |
(- (* 9/625 (pow x 2)) 64009/1000000) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 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) |
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) |
(* 9/625 x) |
(*.f64 #s(literal 9/625 binary64) 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)) |
(* -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 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(* 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 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)) |
(- (* -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 #s(literal -1265/72 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16194277/207360 binary64) x) #s(literal -64009/1728 binary64)) x)) 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 (* 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 #s(literal -1265/72 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16194277/207360 binary64) x) #s(literal -64009/1728 binary64)) x)) x) #s(literal 25/3 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 187 |
| 0 | 55 | 180 |
| 1 | 203 | 160 |
| 2 | 1629 | 160 |
| 0 | 8392 | 160 |
| 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)))) (*.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 #s(approx (+ (* -3/25 x) -253/1000) (*.f64 #s(literal -3/25 binary64) x)) x)) |
(*.f64 #s(approx (+ (* -3/25 x) -253/1000) (*.f64 #s(literal -3/25 binary64) x)) x) |
#s(approx (+ (* -3/25 x) -253/1000) (*.f64 #s(literal -3/25 binary64) x)) |
(*.f64 #s(literal -3/25 binary64) x) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x)) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x) |
(/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 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))))) |
(*.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) |
(*.f64 #s(literal 9/625 binary64) x) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) |
(/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) |
| Outputs |
|---|
(*.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 (+.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #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))) |
(*.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 (*.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)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.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 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal -1 binary64))))) |
(*.f64 (neg.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) (neg.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64))))) |
(*.f64 (neg.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) (neg.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #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 (neg.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) (neg.f64 (fma.f64 (*.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)) #s(literal 1 binary64))))) |
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(*.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))) |
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(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x #s(literal -3/25 binary64) #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)) x)) |
(/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) |
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) |
(neg.f64 (/.f64 x (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))))) |
(-.f64 (/.f64 #s(literal 0 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 #s(literal 0 binary64) (/.f64 (neg.f64 x) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) x)) #s(literal -1 binary64))) |
Compiled 32 938 to 3 691 computations (88.8% saved)
12 alts after pruning (4 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 035 | 3 | 1 038 |
| Fresh | 2 | 1 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 038 | 12 | 1 050 |
| 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 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
| ▶ | 50.8% | (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
| ▶ | 59.0% | (-.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)))) |
| ✓ | 99.7% | (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))))) |
| ✓ | 51.2% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
| ✓ | 51.1% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x)) |
| ▶ | 50.8% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (/.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x)) |
| ▶ | 50.4% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
| ✓ | 50.3% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) (*.f64 #s(literal -3/25 binary64) x)) x)) |
| ✓ | 3.8% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) |
| ✓ | 48.9% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
Compiled 194 to 158 computations (18.6% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) | |
| 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)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))) | |
| cost-diff | 128 | (-.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)))) | |
| cost-diff | 0 | #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) (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 (/.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) (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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 196 |
| 0 | 49 | 196 |
| 1 | 92 | 196 |
| 2 | 158 | 196 |
| 3 | 331 | 196 |
| 4 | 676 | 196 |
| 5 | 938 | 196 |
| 6 | 1298 | 196 |
| 7 | 1967 | 196 |
| 8 | 2364 | 196 |
| 9 | 2716 | 196 |
| 10 | 2846 | 196 |
| 11 | 2974 | 196 |
| 12 | 3148 | 196 |
| 13 | 3166 | 196 |
| 14 | 3178 | 196 |
| 15 | 3187 | 196 |
| 16 | 3188 | 196 |
| 17 | 3188 | 196 |
| 0 | 3188 | 185 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#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 (/.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x)) |
(*.f64 (/.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x) |
(/.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) |
#s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) |
(*.f64 (*.f64 x x) #s(literal 9/625 binary64)) |
(*.f64 x x) |
x |
#s(literal 9/625 binary64) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) |
#s(literal -3/25 binary64) |
#s(literal 253/1000 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(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))) |
(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) |
#s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)) |
#s(literal -25/3 binary64) |
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) |
#s(literal -253/1000 binary64) |
x |
#s(literal 1 binary64) |
| Outputs |
|---|
#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 #s(literal -3/25 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(*.f64 #s(literal -3/25 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(literal -3/25 binary64) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (/.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) (fma.f64 #s(literal -3/25 binary64) x #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))) #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 #s(literal 9/625 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x) |
(*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))) |
(/.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) |
(/.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 #s(literal 9/625 binary64) (*.f64 x x))) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) |
#s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) |
#s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 #s(literal 9/625 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x x) #s(literal 9/625 binary64)) |
(*.f64 #s(literal 9/625 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(literal 9/625 binary64) |
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) |
#s(literal -3/25 binary64) |
#s(literal 253/1000 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)))) |
(fma.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(literal 1 binary64)) |
#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))) |
(*.f64 #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 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) |
#s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)) |
#s(literal -25/3 binary64) |
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) |
#s(literal -253/1000 binary64) |
x |
#s(literal 1 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05859375 | (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) | |
| accuracy | 31.889219937478227 | #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.1171875 | (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) | |
| accuracy | 0.34375 | (*.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))) | |
| accuracy | 31.273090612129952 | #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)) | |
| accuracy | 0.1953125 | (*.f64 (*.f64 x x) #s(literal 9/625 binary64)) | |
| accuracy | 12.77527077899167 | (/.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) | |
| accuracy | 31.14189530280337 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (/.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x)) | |
| accuracy | 31.55627506131916 | #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.1171875 | (*.f64 (*.f64 x x) #s(literal -3/25 binary64)) | |
| accuracy | 31.710438811855422 | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
| 128.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 352 to 77 computations (78.1% saved)
ival-mult: 39.0ms (35% of total)ival-add: 36.0ms (32.3% of total)const: 31.0ms (27.8% of total)ival-div: 3.0ms (2.7% of total)ival-sub: 2.0ms (1.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#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 (/.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x)) |
(*.f64 (/.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x) |
(/.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) |
#s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 x x) #s(literal 9/625 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)))) |
(*.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))) |
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) |
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) |
(*.f64 (*.f64 x x) #s(literal 9/625 binary64)) |
#s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)) |
| Outputs |
|---|
1 |
(+ 1 (* -253/1000 x)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(* -3/25 (pow x 2)) |
(pow x 2) |
(* -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) |
(* 253/1000 x) |
(* x (+ 253/1000 (* 3/25 x))) |
64009/1000000 |
(+ 64009/1000000 (* -9/625 (pow x 2))) |
(* 9/625 (pow x 2)) |
(* 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))))))) |
(* -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))))) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(* 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)) |
-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 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (* x x) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* -3/25 x) 253/1000)) x) (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* -3/25 x) 253/1000)) (+ (* (* 9/625 x) x) -64009/1000000) (- 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) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (* (* x x) 9/625) (/ x (+ (* -3/25 x) 253/1000))) |
| 2.0ms | x | @ | -inf | ((- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (* x x) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* -3/25 x) 253/1000)) x) (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* -3/25 x) 253/1000)) (+ (* (* 9/625 x) x) -64009/1000000) (- 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) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (* (* x x) 9/625) (/ x (+ (* -3/25 x) 253/1000))) |
| 1.0ms | x | @ | 0 | ((- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (* x x) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* -3/25 x) 253/1000)) x) (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* -3/25 x) 253/1000)) (+ (* (* 9/625 x) x) -64009/1000000) (- 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) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (* (* x x) 9/625) (/ x (+ (* -3/25 x) 253/1000))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 219 |
| 1 | 258 | 218 |
| 2 | 611 | 215 |
| 3 | 1264 | 215 |
| 4 | 2365 | 211 |
| 5 | 5388 | 211 |
| 0 | 8228 | 188 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -253/1000 x)) |
(+ 1 (* x (- (* -3/25 x) 253/1000))) |
(* -3/25 (pow x 2)) |
(pow x 2) |
(* -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) |
(* 253/1000 x) |
(* x (+ 253/1000 (* 3/25 x))) |
64009/1000000 |
(+ 64009/1000000 (* -9/625 (pow x 2))) |
(* 9/625 (pow x 2)) |
(* 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))))))) |
(* -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))))) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(* 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)) |
-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 (/ (+ 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)) |
(* -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) |
-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 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 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) |
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)) |
(* 9/625 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9/625 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) |
(* -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)) |
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) |
(* 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)) |
-25/3 |
#s(literal -25/3 binary64) |
(* -1 (+ 25/3 (* 1265/72 (/ 1 x)))) |
(-.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)) |
(- (* -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 #s(literal -1265/72 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16194277/207360 binary64) x) #s(literal -64009/1728 binary64)) x)) 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 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3) |
(-.f64 (/.f64 (-.f64 #s(literal -1265/72 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16194277/207360 binary64) x) #s(literal -64009/1728 binary64)) x)) x) #s(literal 25/3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 172 |
| 0 | 49 | 172 |
| 1 | 198 | 172 |
| 2 | 1462 | 172 |
| 0 | 8929 | 164 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 (/.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x)) |
(*.f64 (/.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x) |
(/.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) |
#s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 x x) #s(literal 9/625 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)))) |
(*.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))) |
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) |
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) |
(*.f64 (*.f64 x x) #s(literal 9/625 binary64)) |
#s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)) |
| Outputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(literal -3/25 binary64) (*.f64 x x))) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x) |
(*.f64 #s(literal -3/25 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal -3/25 binary64)) |
(*.f64 x (*.f64 #s(literal -3/25 binary64) x)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) |
(*.f64 (/.f64 (neg.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x))) #s(literal -1 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x)))) |
(*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))) (*.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))) |
(*.f64 (/.f64 x (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) (/.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) (pow.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) x) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) |
(*.f64 (/.f64 (*.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) x) (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #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(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))) (*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))) |
(*.f64 (/.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) (/.f64 x (pow.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (neg.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x))) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) |
(*.f64 (*.f64 x (neg.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) |
(*.f64 (neg.f64 (*.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) |
(*.f64 (*.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) x) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (/.f64 x (pow.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x) |
(*.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) |
(*.f64 x (/.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) |
(pow.f64 (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (*.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x))) x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) |
(/.f64 (neg.f64 (*.f64 x (neg.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x))))) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) x))) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) |
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) x) (neg.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x)))) |
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) x) (neg.f64 (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (neg.f64 (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 (*.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) x) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) x) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x)))) |
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) x) (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (+.f64 #s(literal 64009/1000000 binary64) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (*.f64 x #s(literal -759/25000 binary64)))))) |
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) x) (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 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 (*.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) x) #s(literal 1 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) |
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) x) (-.f64 (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64))) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))))) |
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(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal -1 binary64))) (*.f64 (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))) (+.f64 (pow.f64 (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(fma.f64 x #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))) (/.f64 (pow.f64 (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.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)) #s(literal 1 binary64)) |
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) |
(*.f64 (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 3/25 binary64)) x) |
(*.f64 (*.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal -3/25 binary64)) x) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 3/25 binary64)) #s(literal 3/25 binary64)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) x) (*.f64 #s(literal -3/25 binary64) x)) |
(*.f64 (*.f64 #s(literal 9/625 binary64) x) x) |
(*.f64 #s(literal 9/625 binary64) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal -3/25 binary64) (*.f64 x x)) #s(literal -3/25 binary64)) |
(*.f64 #s(literal -3/25 binary64) (*.f64 #s(literal -3/25 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x x) #s(literal 9/625 binary64)) |
(*.f64 (*.f64 #s(literal 3/25 binary64) x) (*.f64 #s(literal 3/25 binary64) x)) |
(*.f64 #s(literal 3/25 binary64) (*.f64 (*.f64 x x) #s(literal 3/25 binary64))) |
(*.f64 x (*.f64 #s(literal 3/25 binary64) (*.f64 #s(literal 3/25 binary64) x))) |
(*.f64 x (*.f64 #s(literal -3/25 binary64) (*.f64 #s(literal -3/25 binary64) x))) |
(*.f64 x (*.f64 #s(literal 9/625 binary64) x)) |
(pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -3/25 binary64) x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3/25 binary64) x)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))) |
#s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)) |
Compiled 12 745 to 1 312 computations (89.7% saved)
11 alts after pruning (2 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 335 | 2 | 337 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 1 | 7 | 8 |
| Total | 338 | 11 | 349 |
| 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 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
| ✓ | 50.8% | (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
| 59.0% | (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -9/625 binary64) x) x #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))) | |
| 97.4% | (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* -9/625 (* x x)) 64009/1000000) (*.f64 #s(literal -9/625 binary64) (*.f64 x x))) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))) | |
| ✓ | 99.7% | (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))))) |
| ✓ | 51.2% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) |
| ✓ | 50.4% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) |
| ✓ | 50.3% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) (*.f64 #s(literal -3/25 binary64) x)) x)) |
| ✓ | 3.8% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) |
| ✓ | 48.9% | #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
Compiled 475 to 230 computations (51.6% 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))) |
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ 253/1000 (* x 3/25)) #s(literal 253/1000 binary64)))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) (*.f64 #s(literal -3/25 binary64) x)) 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)) |
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* -9/625 (* x x)) 64009/1000000) (*.f64 #s(literal -9/625 binary64) (*.f64 x x))) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #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)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -9/625 binary64) 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 (/.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 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))))) |
| Outputs |
|---|
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #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 |
| 5.0ms | (-.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))) |
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ 253/1000 (* x 3/25)) #s(literal 253/1000 binary64)))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) (*.f64 #s(literal -3/25 binary64) x)) 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)) |
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| Outputs |
|---|
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
3 calls:
| 3.0ms | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
| 3.0ms | x |
| 3.0ms | (-.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))) |
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ 253/1000 (* x 3/25)) #s(literal 253/1000 binary64)))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) (*.f64 #s(literal -3/25 binary64) x)) 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:
| 4.0ms | x |
| 3.0ms | (*.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 |
|---|---|---|
| 98.2% | 3 | x |
| 98.2% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| 98.2% | 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))) |
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ 253/1000 (* x 3/25)) #s(literal 253/1000 binary64)))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) (*.f64 #s(literal -3/25 binary64) x)) 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:
| 3.0ms | (*.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 |
|---|---|---|
| 98.0% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| 98.0% | 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))) |
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ 253/1000 (* x 3/25)) #s(literal 253/1000 binary64)))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) (*.f64 #s(literal -3/25 binary64) x)) x)) |
| Outputs |
|---|
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) (*.f64 #s(literal -3/25 binary64) x)) x)) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 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 |
|---|---|---|
| 98.0% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
| 98.0% | 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))) |
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ 253/1000 (* x 3/25)) #s(literal 253/1000 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:
| 4.0ms | x |
| 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 |
|---|---|---|
| 50.8% | 1 | x |
| 50.8% | 1 | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
| 50.8% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
Compiled 17 to 15 computations (11.8% saved)
Total -29.8b remaining (-91.1%)
Threshold costs -29.8b (-91.1%)
| 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)) |
3 calls:
| 2.0ms | (*.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 |
|---|---|---|
| 48.9% | 1 | x |
| 48.9% | 1 | (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) |
| 48.9% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.2669394129855536 | 5.799114932990561 |
Compiled 12 to 12 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.2669394129855536 | 5.799114932990561 |
Compiled 12 to 12 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.799114932990561 | 0.7330605870144464 |
Compiled 12 to 12 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 167 |
| 1 | 61 | 167 |
| 2 | 109 | 167 |
| 3 | 184 | 167 |
| 4 | 336 | 167 |
| 5 | 487 | 167 |
| 6 | 1053 | 167 |
| 7 | 2479 | 167 |
| 8 | 3980 | 167 |
| 9 | 6664 | 167 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (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)) |
(if (<=.f64 (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #s(literal 1/2 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 1/2 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 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #s(literal -4 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) (*.f64 #s(literal -3/25 binary64) x)) 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)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (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)) |
(if (<=.f64 (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #s(literal 1/2 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 1/2 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 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #s(literal -4 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) (*.f64 #s(literal -3/25 binary64) x)) 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)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) |
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) |
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 |
| 0 | 55 | 156 |
| 1 | 146 | 156 |
| 2 | 381 | 156 |
| 3 | 820 | 156 |
| 4 | 1502 | 156 |
| 5 | 3224 | 156 |
| 6 | 5131 | 156 |
| 7 | 6424 | 156 |
| 8 | 7742 | 156 |
| 0 | 8073 | 134 |
| 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 |
Compiled 235 to 101 computations (57% saved)
Compiled 352 to 102 computations (71% saved)
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