
Time bar (total: 7.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 50% | 0% | 0% | 50% | 0% | 3 |
| 50% | 25% | 25% | 0% | 0% | 50% | 0% | 4 |
| 75% | 37.5% | 12.5% | 0% | 0% | 50% | 0% | 5 |
| 87.5% | 43.7% | 6.2% | 0% | 0% | 50% | 0% | 6 |
| 93.8% | 46.9% | 3.1% | 0% | 0% | 50% | 0% | 7 |
| 96.9% | 48.4% | 1.6% | 0% | 0% | 50% | 0% | 8 |
| 98.4% | 49.2% | 0.8% | 0% | 0% | 50% | 0% | 9 |
| 99.2% | 49.6% | 0.4% | 0% | 0% | 50% | 0% | 10 |
| 99.6% | 49.8% | 0.2% | 0% | 0% | 50% | 0% | 11 |
| 99.8% | 49.9% | 0.1% | 0% | 0% | 50% | 0% | 12 |
Compiled 14 to 11 computations (21.4% saved)
| 1.6s | 2 956× | 2 | valid |
| 1.1s | 4 945× | 1 | valid |
| 30.0ms | 355× | 0 | valid |
| 1.0ms | 10× | 0 | invalid |
ival-log: 1.3s (54% of total)ival-div: 332.0ms (13.5% of total)adjust: 221.0ms (9% of total)ival-mult: 209.0ms (8.5% of total)ival-add: 195.0ms (7.9% of total)ival-sub: 156.0ms (6.3% of total)exact: 8.0ms (0.3% of total)ival-true: 7.0ms (0.3% of total)ival-assert: 4.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 256 | 0 | - | 0 | - | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) | sensitivity | 256 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 256 | 0 |
| - | 0 | 0 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 256 | 0 | 0 |
| - | 0 | 0 | 0 |
| number | freq |
|---|---|
| 1 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 107.0ms | 176× | 2 | valid |
| 86.0ms | 318× | 1 | valid |
| 1.0ms | 18× | 0 | valid |
Compiled 133 to 40 computations (69.9% saved)
ival-log: 62.0ms (37.2% of total)ival-mult: 43.0ms (25.8% of total)ival-add: 29.0ms (17.4% of total)adjust: 13.0ms (7.8% of total)ival-div: 12.0ms (7.2% of total)ival-sub: 7.0ms (4.2% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 24 |
| 1 | 25 | 24 |
| 2 | 30 | 24 |
| 3 | 32 | 24 |
| 0 | 9 | 10 |
| 0 | 16 | 10 |
| 1 | 24 | 10 |
| 2 | 25 | 10 |
| 0 | 25 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) |
Compiled 12 to 9 computations (25% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 8.1% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
Compiled 12 to 9 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 35 |
| 0 | 16 | 35 |
| 1 | 24 | 35 |
| 2 | 25 | 35 |
| 0 | 25 | 35 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
x |
(-.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
x |
(-.f64 #s(literal 1 binary64) x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0.0234375 | (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 58.764609074717015 | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 70.0ms | 159× | 1 | valid |
| 34.0ms | 88× | 2 | valid |
| 1.0ms | 9× | 0 | valid |
Compiled 80 to 20 computations (75% saved)
ival-log: 65.0ms (70.3% of total)ival-mult: 8.0ms (8.7% of total)adjust: 6.0ms (6.5% of total)ival-div: 6.0ms (6.5% of total)ival-sub: 3.0ms (3.2% of total)ival-add: 3.0ms (3.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
1 |
(+ 1 (* 2 x)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(+ 1 x) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* x (+ 1 (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((/ 1 2) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (/ (+ 1 x) (- 1 x)) (+ 1 x)) |
| 1.0ms | x | @ | inf | ((/ 1 2) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (/ (+ 1 x) (- 1 x)) (+ 1 x)) |
| 1.0ms | x | @ | -inf | ((/ 1 2) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (/ (+ 1 x) (- 1 x)) (+ 1 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 303 |
| 1 | 399 | 292 |
| 2 | 1325 | 285 |
| 3 | 5598 | 285 |
| 0 | 8228 | 264 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
1 |
(+ 1 (* 2 x)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(+ 1 x) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* x (+ 1 (/ 1 x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64)) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(* 1/2 (log -1)) |
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(+ (log -1) (* 2 (/ 1 x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -2/5 binary64) (pow.f64 x #s(literal 5 binary64)))) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal -1/3 binary64)) x) x) #s(literal 1 binary64)) (neg.f64 x))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -2/5 binary64) (*.f64 x x)) #s(literal -2/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) |
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 29 |
| 0 | 16 | 29 |
| 1 | 50 | 28 |
| 2 | 268 | 28 |
| 3 | 2887 | 28 |
| 0 | 9198 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/4 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x))) |
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (log.f64 (exp.f64 #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1/4 binary64)) |
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x))) |
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log1p.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (log1p.f64 x) (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (log1p.f64 x))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 x) (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1/4 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 #s(literal 1/4 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x)))) |
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(fma.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x x x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1 binary64) (neg.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (fma.f64 x x x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (fma.f64 x x x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) |
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x)) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x))) |
(+.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) |
(+.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x))) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
(+.f64 #s(literal 1 binary64) x) |
Compiled 19 343 to 2 679 computations (86.2% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 687 | 4 | 691 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 688 | 4 | 692 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
| ▶ | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
| ▶ | 99.4% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x))) |
| ▶ | 100.0% | #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)) |
Compiled 87 to 61 computations (29.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 225 |
| 0 | 52 | 225 |
| 1 | 97 | 225 |
| 2 | 278 | 225 |
| 3 | 1203 | 225 |
| 4 | 3179 | 225 |
| 5 | 4475 | 225 |
| 6 | 5394 | 225 |
| 7 | 6528 | 225 |
| 8 | 7454 | 225 |
| 0 | 8089 | 225 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
#s(literal 1/5 binary64) |
(*.f64 x x) |
#s(literal 1/3 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
x |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
#s(literal 2/3 binary64) |
(*.f64 x x) |
x |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
#s(literal 2/5 binary64) |
(*.f64 x x) |
x |
#s(literal 2/3 binary64) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)) |
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) |
#s(literal 1/5 binary64) |
(*.f64 x x) |
#s(literal 1/3 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x)) |
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
x |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
#s(literal 2/3 binary64) |
(*.f64 x x) |
x |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
#s(literal 2/5 binary64) |
(*.f64 x x) |
x |
#s(literal 2/3 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) | |
| accuracy | 0.00390625 | (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) | |
| accuracy | 0.01953125 | (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) | |
| accuracy | 0.0 | (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) | |
| accuracy | 0.0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.14632170290125845 | #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) | |
| accuracy | 0.0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x))) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.4063297005347505 | #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x)) | |
| accuracy | 0.0 | (pow.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)) | |
| accuracy | 0.01953125 | (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
| 115.0ms | 159× | 1 | valid |
| 69.0ms | 88× | 2 | valid |
| 2.0ms | 9× | 0 | valid |
Compiled 424 to 65 computations (84.7% saved)
ival-log: 32.0ms (21.5% of total)ival-mult: 31.0ms (20.9% of total)const: 28.0ms (18.8% of total)adjust: 18.0ms (12.1% of total)ival-div: 17.0ms (11.4% of total)ival-add: 14.0ms (9.4% of total)ival-pow: 6.0ms (4% of total)ival-sub: 3.0ms (2% 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 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x))) |
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(*.f64 x x) |
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(pow x 3) |
1/3 |
(+ 1/3 (* 1/5 (pow x 2))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(pow x 2) |
2/3 |
(+ 2/3 (* 2/5 (pow x 2))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/5 (pow x 5)) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/5 (pow x 2)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(* 2/3 (pow x 3)) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* 2/5 (pow x 5)) |
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* 2/5 (pow x 2)) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | x | @ | 0 | ((* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+ (* (pow x 3) (+ (* 1/5 (* x x)) 1/3)) x) (pow x 3) (+ (* 1/5 (* x x)) 1/3) (/ 1 2) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* 2 x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* (+ (* 2/3 (* x x)) 2) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (* x x) (+ (* 2/5 (* x x)) 2/3)) |
| 3.0ms | x | @ | inf | ((* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+ (* (pow x 3) (+ (* 1/5 (* x x)) 1/3)) x) (pow x 3) (+ (* 1/5 (* x x)) 1/3) (/ 1 2) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* 2 x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* (+ (* 2/3 (* x x)) 2) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (* x x) (+ (* 2/5 (* x x)) 2/3)) |
| 3.0ms | x | @ | -inf | ((* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+ (* (pow x 3) (+ (* 1/5 (* x x)) 1/3)) x) (pow x 3) (+ (* 1/5 (* x x)) 1/3) (/ 1 2) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* 2 x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* (+ (* 2/3 (* x x)) 2) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (* x x) (+ (* 2/5 (* x x)) 2/3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 384 |
| 1 | 433 | 377 |
| 2 | 1380 | 372 |
| 3 | 5724 | 372 |
| 0 | 8544 | 352 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(pow x 3) |
1/3 |
(+ 1/3 (* 1/5 (pow x 2))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(pow x 2) |
2/3 |
(+ 2/3 (* 2/5 (pow x 2))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/5 (pow x 5)) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/5 (pow x 2)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(* 2/3 (pow x 3)) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* 2/5 (pow x 5)) |
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* 2/5 (pow x 2)) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 (* 1/5 (pow x 2))) |
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
2/3 |
#s(literal 2/3 binary64) |
(+ 2/3 (* 2/5 (pow x 2))) |
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
(* 1/2 (log -1)) |
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(* 1/5 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64)) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1/5 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* 1/5 (pow x 2)) |
(*.f64 #s(literal 1/5 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(+ (log -1) (* 2 (/ 1 x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -2/5 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(* 2/3 (pow x 3)) |
(*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* 2/5 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/5 binary64)) |
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2/5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 x x)) #s(literal 2/5 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* 2/5 (pow x 2)) |
(*.f64 #s(literal 2/5 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) x) x) #s(literal 1 binary64)) (neg.f64 x))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/5 binary64))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) x)) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x) x) #s(literal 2/5 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 184 |
| 0 | 52 | 184 |
| 1 | 190 | 183 |
| 2 | 1277 | 183 |
| 0 | 8879 | 163 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x))) |
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(*.f64 x x) |
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))) (+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 3 binary64))))) (+.f64 x (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 3 binary64))))) |
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(fma.f64 x (*.f64 #s(literal 2/5 binary64) x) #s(literal 2/3 binary64)) |
(-.f64 (/.f64 #s(literal 4/9 binary64) (-.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (-.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
(-.f64 #s(literal 2/3 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 2/5 binary64) (neg.f64 x))) (neg.f64 x))) |
(-.f64 #s(literal 2/3 binary64) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal 2/5 binary64)))) |
(-.f64 #s(literal 2/3 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 2/5 binary64) x))) |
(-.f64 #s(literal 2/3 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 2/5 binary64) x)) x)) |
(-.f64 #s(literal 2/3 binary64) (*.f64 #s(literal -2/5 binary64) (*.f64 x x))) |
(-.f64 #s(literal 2/3 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 2/5 binary64))) |
(+.f64 (/.f64 #s(literal 8/27 binary64) (+.f64 #s(literal 4/9 binary64) (-.f64 (*.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))) (/.f64 (*.f64 #s(literal 8/125 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 4/9 binary64) (-.f64 (*.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 4/15 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 8/125 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 4/9 binary64) (-.f64 (*.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))) (/.f64 #s(literal 8/27 binary64) (+.f64 #s(literal 4/9 binary64) (-.f64 (*.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 4/15 binary64)))))) |
(+.f64 (/.f64 #s(literal 8/27 binary64) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))) (/.f64 (*.f64 #s(literal 8/125 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 8/125 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))) (/.f64 #s(literal 8/27 binary64) (fma.f64 #s(literal 4/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64)))))) |
(+.f64 (*.f64 #s(literal 2/5 binary64) (*.f64 x x)) #s(literal 2/3 binary64)) |
(+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 2/5 binary64) (*.f64 x x))) |
Compiled 16 313 to 1 979 computations (87.9% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 436 | 3 | 439 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 0 | 4 |
| Done | 0 | 0 | 0 |
| Total | 440 | 3 | 443 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
| ▶ | 99.4% | (*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
| ▶ | 100.0% | #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) |
Compiled 59 to 41 computations (30.5% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) | |
| cost-diff | 2 | (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 148 |
| 0 | 37 | 148 |
| 1 | 70 | 148 |
| 2 | 170 | 146 |
| 3 | 654 | 146 |
| 4 | 2257 | 146 |
| 5 | 4305 | 146 |
| 6 | 4955 | 146 |
| 7 | 5220 | 146 |
| 8 | 5404 | 146 |
| 9 | 5718 | 146 |
| 10 | 6356 | 146 |
| 11 | 6913 | 146 |
| 12 | 7614 | 146 |
| 13 | 7767 | 146 |
| 14 | 7847 | 146 |
| 15 | 7887 | 146 |
| 16 | 7927 | 146 |
| 17 | 7927 | 146 |
| 18 | 7930 | 146 |
| 19 | 7936 | 146 |
| 20 | 7958 | 146 |
| 0 | 8004 | 144 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/5 binary64) |
#s(literal 1/3 binary64) |
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
#s(literal 2/3 binary64) |
(*.f64 x x) |
x |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) |
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x) |
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x) |
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/5 binary64) |
#s(literal 1/3 binary64) |
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
#s(literal 2/3 binary64) |
(*.f64 x x) |
x |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) | |
| accuracy | 0.0 | (*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.14632170290125845 | #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) | |
| accuracy | 0.0 | (*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 0.4063297005347505 | #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) | |
| accuracy | 0.01953125 | (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) | |
| accuracy | 0.16015625 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) |
| 92.0ms | 159× | 1 | valid |
| 72.0ms | 88× | 2 | valid |
| 2.0ms | 9× | 0 | valid |
Compiled 268 to 52 computations (80.6% saved)
ival-mult: 37.0ms (26.5% of total)ival-log: 30.0ms (21.5% of total)adjust: 27.0ms (19.4% of total)ival-add: 23.0ms (16.5% of total)const: 13.0ms (9.3% of total)ival-div: 6.0ms (4.3% of total)ival-sub: 3.0ms (2.2% 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 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x) |
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) |
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 x x) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))) |
1/3 |
(+ 1/3 (* 1/5 (pow x 2))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
2 |
(+ 2 (* 2/3 (pow x 2))) |
(pow x 2) |
(* 1/5 (pow x 5)) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/5 (pow x 4)) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/5 (pow x 2)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(* 2/3 (pow x 3)) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((+ (* (* (+ (* (* x x) 1/5) 1/3) (* x x)) x) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (* (+ (* (* x x) 1/5) 1/3) (* x x)) (+ (* (* x x) 1/5) 1/3) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (* x 2) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (* (+ (* 2/3 (* x x)) 2) x) (+ (* 2/3 (* x x)) 2) (* x x)) |
| 2.0ms | x | @ | -inf | ((+ (* (* (+ (* (* x x) 1/5) 1/3) (* x x)) x) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (* (+ (* (* x x) 1/5) 1/3) (* x x)) (+ (* (* x x) 1/5) 1/3) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (* x 2) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (* (+ (* 2/3 (* x x)) 2) x) (+ (* 2/3 (* x x)) 2) (* x x)) |
| 1.0ms | x | @ | 0 | ((+ (* (* (+ (* (* x x) 1/5) 1/3) (* x x)) x) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (* (+ (* (* x x) 1/5) 1/3) (* x x)) (+ (* (* x x) 1/5) 1/3) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (* x 2) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (* (+ (* 2/3 (* x x)) 2) x) (+ (* 2/3 (* x x)) 2) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 361 |
| 1 | 396 | 354 |
| 2 | 1270 | 350 |
| 3 | 5345 | 350 |
| 0 | 8105 | 329 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))) |
1/3 |
(+ 1/3 (* 1/5 (pow x 2))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
2 |
(+ 2 (* 2/3 (pow x 2))) |
(pow x 2) |
(* 1/5 (pow x 5)) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/5 (pow x 4)) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/5 (pow x 2)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(* 2/3 (pow x 3)) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 (* 1/5 (pow x 2))) |
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2/3 (pow x 2))) |
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* 1/5 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64)) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/5 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* 1/2 (log -1)) |
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(* 1/5 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/5 binary64)) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/5 binary64))) |
(* 1/5 (pow x 2)) |
(*.f64 #s(literal 1/5 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(+ (log -1) (* 2 (/ 1 x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -2/5 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(* 2/3 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)) |
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* 2/3 (pow x 2)) |
(*.f64 #s(literal 2/3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/5 binary64)))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) x) x) #s(literal 1 binary64)) (neg.f64 x))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 135 |
| 0 | 37 | 135 |
| 1 | 134 | 132 |
| 2 | 846 | 132 |
| 0 | 8431 | 121 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x) |
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) |
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) #s(literal 1 binary64)) |
(*.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x)))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x))))) (+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (*.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (*.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (*.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (*.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))))) (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (*.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (*.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))) (neg.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x))) (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (neg.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (*.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (*.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (*.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (*.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (*.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (*.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (*.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (*.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)))))) |
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(fma.f64 #s(literal 2 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)) (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))) |
(fma.f64 #s(literal 1 binary64) x (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 2/3 binary64) x) (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 x (/.f64 (*.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))) (*.f64 x (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))))) |
(fma.f64 x (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))) |
(fma.f64 x #s(literal 1 binary64) (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)))) |
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)) (*.f64 #s(literal -2 binary64) x)) |
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)) (*.f64 (neg.f64 x) #s(literal 2 binary64))) |
(-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 x x)) x)) |
(-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 x) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) |
(+.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) x) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))) x) (*.f64 (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))) x)) |
(+.f64 (*.f64 x (/.f64 (*.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))))) (*.f64 x (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)) (*.f64 #s(literal 2 binary64) x)) |
(+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))) |
(+.f64 x (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))) (/.f64 (*.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))))) (*.f64 (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))))) (-.f64 (/.f64 (*.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 x x)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))) (/.f64 (*.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))) (-.f64 (*.f64 (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))))) (*.f64 (/.f64 (*.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))) (*.f64 (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))) #s(literal 8 binary64))) (*.f64 (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))))) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) (neg.f64 (-.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (-.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))) |
(/.f64 (fma.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))))) |
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (neg.f64 (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))))) |
(fma.f64 (fabs.f64 (*.f64 #s(literal -2/3 binary64) x)) x #s(literal 2 binary64)) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 2/3 binary64) x)) x #s(literal 2 binary64)) |
(fma.f64 (*.f64 #s(literal -2/3 binary64) x) (neg.f64 x) #s(literal 2 binary64)) |
(fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 2 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 #s(literal -2/3 binary64) x) #s(literal 2 binary64)) |
(fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1 binary64) #s(literal 2 binary64)) |
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) |
(fma.f64 x (fabs.f64 (*.f64 #s(literal -2/3 binary64) x)) #s(literal 2 binary64)) |
(fma.f64 x (fabs.f64 (*.f64 #s(literal 2/3 binary64) x)) #s(literal 2 binary64)) |
(fma.f64 x (*.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)) |
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)))) |
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 x x))) |
(+.f64 (/.f64 #s(literal 8 binary64) (-.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))) |
(+.f64 (/.f64 (*.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))) (/.f64 #s(literal 8 binary64) (-.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))) |
(+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))) (/.f64 (*.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))))) |
(+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -2/3 binary64) x)) x)) |
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
Compiled 13 029 to 1 576 computations (87.9% saved)
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 364 | 2 | 366 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 1 | 3 |
| Done | 0 | 0 | 0 |
| Total | 366 | 3 | 369 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.4% | (*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64)) |
| ✓ | 100.0% | #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) |
| ▶ | 99.8% | #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) |
Compiled 69 to 46 computations (33.3% saved)
| 1× | egg-herbie |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x x) | |
| cost-diff | 0 | #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) | |
| cost-diff | 0 | (*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) | |
| cost-diff | 2 | (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 101 |
| 0 | 29 | 101 |
| 1 | 56 | 101 |
| 2 | 122 | 99 |
| 3 | 338 | 99 |
| 4 | 661 | 99 |
| 5 | 895 | 99 |
| 6 | 1042 | 99 |
| 7 | 1122 | 99 |
| 8 | 1182 | 99 |
| 9 | 1277 | 99 |
| 10 | 1421 | 99 |
| 11 | 1518 | 99 |
| 12 | 1641 | 99 |
| 13 | 1666 | 99 |
| 14 | 1666 | 99 |
| 15 | 1736 | 99 |
| 16 | 1820 | 99 |
| 0 | 1820 | 93 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) |
(fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) x x) |
(*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) |
#s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(*.f64 x x) |
x |
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64)) |
#s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) |
(+.f64 x x) |
x |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) |
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x)) |
(fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) x x) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x) |
(*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x) x) |
#s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(*.f64 x x) |
x |
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
#s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) |
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) |
(+.f64 x x) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 1/2 binary64) |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 x x) | |
| accuracy | 0.0 | (*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64)) | |
| accuracy | 0.4063297005347505 | #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) | |
| accuracy | 0.16015625 | (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) | |
| accuracy | 0.4172535223081521 | #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) |
| 75.0ms | 159× | 1 | valid |
| 56.0ms | 88× | 2 | valid |
| 1.0ms | 9× | 0 | valid |
Compiled 178 to 46 computations (74.2% saved)
ival-mult: 30.0ms (25.7% of total)ival-log: 30.0ms (25.7% of total)const: 25.0ms (21.5% of total)adjust: 12.0ms (10.3% of total)ival-add: 9.0ms (7.7% of total)ival-div: 6.0ms (5.1% of total)ival-sub: 3.0ms (2.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) x x) |
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) |
(*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) |
#s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) |
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64)) |
#s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) |
(+.f64 x x) |
(*.f64 x x) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))) |
1/3 |
(+ 1/3 (* 1/5 (pow x 2))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(pow x 2) |
(* 1/5 (pow x 5)) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/5 (pow x 4)) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/5 (pow x 2)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((+ (* (* (+ (* (* x x) 1/5) 1/3) (* x x)) x) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (* (+ (* (* x x) 1/5) 1/3) (* x x)) (+ (* (* x x) 1/5) 1/3) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (+ x x) (* x x)) |
| 1.0ms | x | @ | -inf | ((+ (* (* (+ (* (* x x) 1/5) 1/3) (* x x)) x) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (* (+ (* (* x x) 1/5) 1/3) (* x x)) (+ (* (* x x) 1/5) 1/3) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (+ x x) (* x x)) |
| 1.0ms | x | @ | 0 | ((+ (* (* (+ (* (* x x) 1/5) 1/3) (* x x)) x) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (* (+ (* (* x x) 1/5) 1/3) (* x x)) (+ (* (* x x) 1/5) 1/3) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (+ x x) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 104 | 327 |
| 1 | 372 | 320 |
| 2 | 1178 | 316 |
| 3 | 4841 | 316 |
| 0 | 8536 | 297 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))) |
1/3 |
(+ 1/3 (* 1/5 (pow x 2))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(pow x 2) |
(* 1/5 (pow x 5)) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/5 (pow x 4)) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/5 (pow x 2)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) x) x) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 (* 1/5 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(* 1/5 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64)) |
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/5 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* 1/2 (log -1)) |
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(* 1/5 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/5 binary64)) |
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/5 binary64))) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) |
(log -1) |
(log.f64 #s(literal -1 binary64)) |
(+ (log -1) (* 2 (/ 1 x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -2/5 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/5 binary64)))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 97 |
| 0 | 29 | 97 |
| 1 | 112 | 94 |
| 0 | 735 | 86 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) x x) |
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) |
(*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) |
#s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) |
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64)) |
#s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) |
(+.f64 x x) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x) (*.f64 x x) x) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)))) |
(fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x) x) x x) |
(fma.f64 (*.f64 x x) (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x) x) |
(fma.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)))) |
(fma.f64 x (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x) x) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) x))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x) x)) x)) |
(-.f64 x (*.f64 (neg.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x) x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) x) |
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)))) |
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x)) |
(*.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)))) |
(*.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64))) |
(*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) |
(*.f64 x (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) x)) |
#s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) |
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x))) |
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) x x) |
(fma.f64 x #s(literal 1 binary64) x) |
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(+.f64 x x) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
Compiled 2 717 to 362 computations (86.7% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 87 | 0 | 87 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 1 | 1 |
| Total | 87 | 3 | 90 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.4% | (*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64)) |
| ✓ | 100.0% | #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) |
| ✓ | 99.8% | #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) |
Compiled 270 to 106 computations (60.7% saved)
| Inputs |
|---|
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) |
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x))) |
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) |
4 calls:
| 3.0ms | x |
| 2.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 2.0ms | (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| 2.0ms | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 100.0% | 1 | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 100.0% | 1 | (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
Compiled 28 to 21 computations (25% saved)
| Inputs |
|---|
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) |
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x))) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) |
4 calls:
| 18.0ms | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 2.0ms | x |
| 2.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 2.0ms | (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 99.8% | 1 | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 99.8% | 1 | (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
Compiled 28 to 21 computations (25% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64)) |
4 calls:
| 1.0ms | x |
| 1.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 1.0ms | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 1.0ms | (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
| 99.4% | 1 | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 99.4% | 1 | (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
Compiled 28 to 21 computations (25% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 65 |
| 1 | 43 | 65 |
| 2 | 76 | 65 |
| 3 | 150 | 65 |
| 4 | 217 | 65 |
| 5 | 228 | 65 |
| 6 | 232 | 65 |
| 7 | 236 | 65 |
| 8 | 240 | 65 |
| 9 | 248 | 65 |
| 10 | 260 | 65 |
| 11 | 272 | 65 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) |
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) |
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) |
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/5) 1/3) #s(literal 1/3 binary64)) (*.f64 x x)) x x)) |
(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x)) #s(literal 1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 135 |
| 0 | 37 | 135 |
| 1 | 134 | 132 |
| 2 | 846 | 132 |
| 0 | 8431 | 121 |
| 0 | 33 | 184 |
| 0 | 52 | 184 |
| 1 | 190 | 183 |
| 2 | 1277 | 183 |
| 0 | 8879 | 163 |
| 0 | 110 | 303 |
| 1 | 399 | 292 |
| 2 | 1325 | 285 |
| 3 | 5598 | 285 |
| 0 | 8228 | 264 |
| 0 | 109 | 361 |
| 1 | 396 | 354 |
| 2 | 1270 | 350 |
| 3 | 5345 | 350 |
| 0 | 8105 | 329 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 213 to 123 computations (42.3% saved)
Compiled 162 to 76 computations (53.1% saved)
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