
Time bar (total: 7.5s)
| 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 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 2 |
Compiled 8 to 7 computations (12.5% saved)
| 2.9s | 8 256× | 0 | valid |
ival-mult: 2.6s (97.3% of total)ival-sqrt: 57.0ms (2.1% of total)ival-true: 6.0ms (0.2% of total)exact: 5.0ms (0.2% of total)ival-assert: 4.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 127 | 0 | - | 1 | (5.3398930327789587e-160) | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) | oflow-rescue | 75 | 0 |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) x) x) | overflow | 75 | |
sqrt.f64 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) | uflow-rescue | 51 | 0 |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) x) x) | underflow | 51 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 126 | 1 |
| - | 0 | 129 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 126 | 0 | 1 |
| - | 0 | 0 | 129 |
| number | freq |
|---|---|
| 0 | 130 |
| 1 | 126 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 23.0ms | 512× | 0 | valid |
Compiled 74 to 35 computations (52.7% saved)
ival-mult: 7.0ms (60.2% of total)ival-sqrt: 4.0ms (34.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 21 | 13 |
| 2 | 62 | 13 |
| 3 | 149 | 13 |
| 4 | 214 | 13 |
| 5 | 231 | 13 |
| 6 | 233 | 13 |
| 0 | 5 | 6 |
| 0 | 8 | 6 |
| 1 | 12 | 6 |
| 2 | 13 | 6 |
| 0 | 13 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| Outputs |
|---|
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x)) |
(abs x)
Compiled 6 to 5 computations (16.7% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.9% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
Compiled 6 to 5 computations (16.7% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 16 |
| 0 | 8 | 16 |
| 1 | 12 | 16 |
| 2 | 13 | 16 |
| 0 | 13 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
| Outputs |
|---|
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) x) | |
| accuracy | 29.48603184782932 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 10.0ms | 256× | 0 | valid |
Compiled 34 to 12 computations (64.7% saved)
ival-mult: 3.0ms (56.5% of total)ival-sqrt: 2.0ms (37.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(*.f64 #s(literal 2 binary64) x) |
| Outputs |
|---|
(* x (sqrt 2)) |
(* 2 (pow x 2)) |
(* 2 x) |
(* -1 (* x (sqrt 2))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((sqrt (* (* 2 x) x)) (* (* 2 x) x) (* 2 x)) |
| 1.0ms | x | @ | inf | ((sqrt (* (* 2 x) x)) (* (* 2 x) x) (* 2 x)) |
| 1.0ms | x | @ | -inf | ((sqrt (* (* 2 x) x)) (* (* 2 x) x) (* 2 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 17 | 17 |
| 2 | 32 | 17 |
| 3 | 36 | 17 |
| 4 | 40 | 17 |
| 5 | 52 | 17 |
| 6 | 64 | 17 |
| 7 | 75 | 17 |
| 8 | 95 | 17 |
| 9 | 100 | 17 |
| 0 | 100 | 17 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (sqrt 2)) |
(* 2 (pow x 2)) |
(* 2 x) |
(* -1 (* x (sqrt 2))) |
| Outputs |
|---|
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* -1 (* x (sqrt 2))) |
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 14 |
| 0 | 8 | 14 |
| 1 | 17 | 14 |
| 2 | 38 | 13 |
| 3 | 92 | 12 |
| 4 | 338 | 12 |
| 5 | 2074 | 12 |
| 0 | 8672 | 12 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(*.f64 #s(literal 2 binary64) x) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 3/8 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 7/16 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/16 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 7/16 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) |
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(literal 1/8 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) x)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64))) #s(literal 1/8 binary64)) |
(pow.f64 (*.f64 (exp.f64 #s(literal 1/4 binary64)) (exp.f64 #s(literal 1/4 binary64))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64)))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (pow.f64 (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64)))) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/16 binary64)) #s(literal 8 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64)))) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/8 binary64)) #s(literal 4 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) |
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x))))) |
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64)))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64))))))) |
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64)))))) |
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) |
(sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 4 binary64))) #s(literal 1/8 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/8 binary64))) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (pow.f64 (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) |
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x)))) (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x))))) |
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64)))))) (exp.f64 (/.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64))))))) |
(/.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64))))) (exp.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64)))))) |
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (exp.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) |
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))) |
Compiled 1 740 to 356 computations (79.5% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 112 | 10 | 122 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 112 | 11 | 123 |
| Status | Accuracy | Program |
|---|---|---|
| 34.4% | (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64)) | |
| 98.9% | (pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)) | |
| ▶ | 99.5% | (*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
| 99.5% | (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) | |
| 99.2% | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) | |
| ▶ | 69.3% | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
| ▶ | 99.3% | (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) |
| 99.5% | (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) | |
| ▶ | 99.3% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ▶ | 53.9% | (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) |
| ✓ | 53.9% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
Compiled 174 to 147 computations (15.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) | |
| cost-diff | 0 | (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) | |
| cost-diff | 6784 | (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) | |
| cost-diff | 0 | (pow.f64 x #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) | |
| cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) | |
| cost-diff | 1600 | (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3/4 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 119 |
| 0 | 42 | 119 |
| 1 | 60 | 107 |
| 2 | 78 | 107 |
| 3 | 106 | 107 |
| 4 | 126 | 107 |
| 5 | 128 | 107 |
| 0 | 128 | 107 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(*.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 1/4 binary64) |
(pow.f64 x #s(literal 3/4 binary64)) |
#s(literal 3/4 binary64) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
(sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) |
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(sqrt.f64 x) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(pow.f64 x #s(literal 1/4 binary64)) |
x |
#s(literal 1/4 binary64) |
(sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) |
(sqrt.f64 x) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) |
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/8 binary64) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) |
x |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) |
(pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) |
(*.f64 x #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) x) |
x |
#s(literal 4 binary64) |
#s(literal 1/4 binary64) |
(pow.f64 x #s(literal 3/4 binary64)) |
#s(literal 3/4 binary64) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
(sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) x) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
x |
#s(literal 2 binary64) |
(sqrt.f64 x) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) x)) (pow.f64 x #s(literal 1/4 binary64))) |
(pow.f64 x #s(literal 1/4 binary64)) |
x |
#s(literal 1/4 binary64) |
(sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) x)) |
(*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) x) |
(sqrt.f64 x) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/8 binary64) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) |
x |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) | |
| accuracy | 0.21875 | (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) | |
| accuracy | 0.27734375 | (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.15625 | (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) | |
| accuracy | 0.293632519536884 | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) | |
| accuracy | 20.07835909654002 | (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.15625 | (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) | |
| accuracy | 0.19140625 | (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) | |
| accuracy | 29.48603184782932 | (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) | |
| accuracy | 0 | (sqrt.f64 #s(literal 2 binary64)) | |
| accuracy | 0.44140625 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) | |
| accuracy | 0 | (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) | |
| accuracy | 0 | (pow.f64 x #s(literal 3/4 binary64)) | |
| accuracy | 0 | (*.f64 x #s(literal 4 binary64)) | |
| accuracy | 0.32650375976844204 | (*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
| 75.0ms | 256× | 0 | valid |
Compiled 240 to 50 computations (79.2% saved)
ival-pow: 18.0ms (45.5% of total)ival-mult: 14.0ms (35.4% of total)ival-sqrt: 7.0ms (17.7% of total)exact: 1.0ms (2.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(*.f64 x #s(literal 4 binary64)) |
(pow.f64 x #s(literal 3/4 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) |
(*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(pow.f64 x #s(literal 1/4 binary64)) |
(sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) |
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) |
(sqrt.f64 x) |
| Outputs |
|---|
(* (pow 4 1/4) x) |
(exp (* 1/4 (+ (log 4) (log x)))) |
(* 4 x) |
(pow (* 1 (pow x 3)) 1/4) |
(* x (sqrt 2)) |
(* 2 (pow x 2)) |
(* 2 (sqrt (pow x 3))) |
(* 2 x) |
(pow (* 1 x) 1/4) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow 4 1/8) x) |
(sqrt x) |
(exp (* 1/4 (+ (log 4) (* -1 (log (/ 1 x)))))) |
(* -1 (* (pow 4 1/4) x)) |
(exp (* 1/4 (+ (log -4) (* -1 (log (/ -1 x)))))) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) |
(* -2 (* (pow x 2) (pow (sqrt -1) 2))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1))))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 148.0ms | x | @ | 0 | ((* (pow (* x 4) 1/4) (pow x 3/4)) (pow (* x 4) 1/4) (* x 4) (pow x 3/4) (* (sqrt 2) x) (sqrt 2) (* (* (* x 2) (sqrt x)) (sqrt x)) (sqrt (* (* (* x 2) (sqrt x)) (sqrt x))) (* (* x 2) (sqrt x)) (* x 2) (* (pow x 1/4) (sqrt (* (sqrt x) (* x 2)))) (pow x 1/4) (sqrt (* (sqrt x) (* x 2))) (* (sqrt x) (* x 2)) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x) (sqrt x)) |
| 88.0ms | x | @ | -inf | ((* (pow (* x 4) 1/4) (pow x 3/4)) (pow (* x 4) 1/4) (* x 4) (pow x 3/4) (* (sqrt 2) x) (sqrt 2) (* (* (* x 2) (sqrt x)) (sqrt x)) (sqrt (* (* (* x 2) (sqrt x)) (sqrt x))) (* (* x 2) (sqrt x)) (* x 2) (* (pow x 1/4) (sqrt (* (sqrt x) (* x 2)))) (pow x 1/4) (sqrt (* (sqrt x) (* x 2))) (* (sqrt x) (* x 2)) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x) (sqrt x)) |
| 49.0ms | x | @ | inf | ((* (pow (* x 4) 1/4) (pow x 3/4)) (pow (* x 4) 1/4) (* x 4) (pow x 3/4) (* (sqrt 2) x) (sqrt 2) (* (* (* x 2) (sqrt x)) (sqrt x)) (sqrt (* (* (* x 2) (sqrt x)) (sqrt x))) (* (* x 2) (sqrt x)) (* x 2) (* (pow x 1/4) (sqrt (* (sqrt x) (* x 2)))) (pow x 1/4) (sqrt (* (sqrt x) (* x 2))) (* (sqrt x) (* x 2)) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x) (sqrt x)) |
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 141 |
| 1 | 183 | 141 |
| 2 | 492 | 134 |
| 3 | 1039 | 128 |
| 4 | 1339 | 127 |
| 5 | 1775 | 127 |
| 6 | 2991 | 127 |
| 7 | 5386 | 127 |
| 0 | 8011 | 127 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (pow 4 1/4) x) |
(exp (* 1/4 (+ (log 4) (log x)))) |
(* 4 x) |
(pow (* 1 (pow x 3)) 1/4) |
(* x (sqrt 2)) |
(* 2 (pow x 2)) |
(* 2 (sqrt (pow x 3))) |
(* 2 x) |
(pow (* 1 x) 1/4) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow 4 1/8) x) |
(sqrt x) |
(exp (* 1/4 (+ (log 4) (* -1 (log (/ 1 x)))))) |
(* -1 (* (pow 4 1/4) x)) |
(exp (* 1/4 (+ (log -4) (* -1 (log (/ -1 x)))))) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) |
(* -2 (* (pow x 2) (pow (sqrt -1) 2))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1))))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(* (pow 4 1/4) x) |
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64)) x) |
(exp (* 1/4 (+ (log 4) (log x)))) |
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
(pow (* 1 (pow x 3)) 1/4) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* 2 (sqrt (pow x 3))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64))) |
(* (pow 4 1/8) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) |
(sqrt x) |
(sqrt.f64 x) |
(exp (* 1/4 (+ (log 4) (* -1 (log (/ 1 x)))))) |
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) |
(* -1 (* (pow 4 1/4) x)) |
(*.f64 (neg.f64 x) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64))) |
(exp (* 1/4 (+ (log -4) (* -1 (log (/ -1 x)))))) |
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) |
(pow.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))) #s(literal 1/4 binary64)) |
(* -2 (* (pow x 2) (pow (sqrt -1) 2))) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1))))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) x))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 x #s(literal 1/4 binary64)) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/4 binary64))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 100 |
| 0 | 42 | 102 |
| 1 | 97 | 95 |
| 2 | 267 | 70 |
| 3 | 1074 | 70 |
| 4 | 4198 | 70 |
| 0 | 8175 | 70 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(*.f64 x #s(literal 4 binary64)) |
(pow.f64 x #s(literal 3/4 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) |
(*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(pow.f64 x #s(literal 1/4 binary64)) |
(sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) |
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) |
(sqrt.f64 x) |
| Outputs |
|---|
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 3/2 binary64) (log.f64 x)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 3/2 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (sqrt.f64 x))) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/16 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/16 binary64)))) |
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (sqrt.f64 x)) (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64))) (*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (sqrt.f64 x)) (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 x #s(literal 1/16 binary64)))) (*.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 x #s(literal 1/16 binary64))))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) (*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))) |
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x))) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)))) |
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/16 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/16 binary64))) (pow.f64 x #s(literal 3/16 binary64))) |
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 (*.f64 #s(literal 16 binary64) x) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 16 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/8 binary64))) |
(*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/8 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x))) |
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (*.f64 (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/16 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/16 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))) |
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x)) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) |
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 x #s(literal 1/8 binary64)))) |
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) x)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(pow.f64 (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/16 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (sqrt.f64 x)) (pow.f64 #s(literal 64 binary64) #s(literal 1/32 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))) (pow.f64 x #s(literal 1/16 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/16 binary64) (log.f64 (sqrt.f64 x)))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) |
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(pow.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (fma.f64 #s(literal 1/32 binary64) (log.f64 #s(literal 16 binary64)) (log.f64 (sqrt.f64 x))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 7/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 5/8 binary64) (log.f64 x)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 1/4 binary64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 7/4 binary64) (log.f64 x)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 7/8 binary64))) (pow.f64 x #s(literal 1/16 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/8 binary64))) (sqrt.f64 (pow.f64 x #s(literal 5/8 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/16 binary64)) (pow.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (fabs.f64 (pow.f64 x #s(literal 3/8 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 4 binary64)) (log.f64 (sqrt.f64 x))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 (sqrt.f64 x))) |
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x)) |
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/16 binary64)) #s(literal 8 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
(fabs.f64 (neg.f64 (sqrt.f64 x))) |
(fabs.f64 (sqrt.f64 x)) |
(exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/32 binary64)) #s(literal 8 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/8 binary64)) #s(literal 8 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (log.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/16 binary64)) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/4 binary64)) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/8 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (log.f64 x)) #s(literal 8 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/8 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 x))) |
Compiled 10 949 to 2 244 computations (79.5% saved)
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 766 | 2 | 768 |
| Fresh | 3 | 2 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 772 | 7 | 779 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.2% | (*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) |
| ▶ | 99.5% | (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
| ▶ | 99.5% | (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
| ▶ | 69.2% | (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
| ✓ | 99.3% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ✓ | 53.9% | (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) |
| ✓ | 53.9% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
Compiled 54 to 45 computations (16.7% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) | |
| cost-diff | 6464 | (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3/4 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 x #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (sqrt.f64 (sqrt.f64 x)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 97 |
| 0 | 35 | 97 |
| 1 | 45 | 93 |
| 2 | 57 | 93 |
| 3 | 58 | 93 |
| 0 | 58 | 93 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(sqrt.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
(sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (*.f64 x #s(literal 2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(sqrt.f64 x) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(pow.f64 x #s(literal 3/4 binary64)) |
x |
#s(literal 3/4 binary64) |
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(sqrt.f64 x) |
#s(literal 2 binary64) |
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) |
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) |
#s(literal 256 binary64) |
#s(literal 1/32 binary64) |
#s(literal 2 binary64) |
x |
| Outputs |
|---|
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x))) |
(sqrt.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
(sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 2 binary64)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
(sqrt.f64 (*.f64 x #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
x |
#s(literal 2 binary64) |
(sqrt.f64 x) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3/4 binary64))) |
(pow.f64 x #s(literal 3/4 binary64)) |
x |
#s(literal 3/4 binary64) |
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(literal 2 binary64) |
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)) x) |
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)) |
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) |
#s(literal 256 binary64) |
#s(literal 1/32 binary64) |
#s(literal 2 binary64) |
x |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) | |
| accuracy | 0.44140625 | (*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) | |
| accuracy | 1.0 | (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0 | (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.17578125 | (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) | |
| accuracy | 0.32650375976844204 | (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) | |
| accuracy | 0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 0 | (sqrt.f64 (*.f64 x #s(literal 2 binary64))) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.3359375 | (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) | |
| accuracy | 0.15625 | (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) | |
| accuracy | 0.15625 | (sqrt.f64 (sqrt.f64 x)) | |
| accuracy | 0.293632519536884 | (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) | |
| accuracy | 20.07835909654002 | (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) |
| 73.0ms | 256× | 0 | valid |
Compiled 196 to 42 computations (78.6% saved)
ival-pow: 19.0ms (35% of total)ival-mult: 16.0ms (29.5% of total)ival-sqrt: 14.0ms (25.8% of total)ival-pow2: 4.0ms (7.4% of total)exact: 1.0ms (1.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(sqrt.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
(sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (*.f64 x #s(literal 2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(pow.f64 x #s(literal 3/4 binary64)) |
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) |
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) |
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) |
(*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) |
| Outputs |
|---|
(* x (sqrt 2)) |
(pow (* 1 x) 1/4) |
(sqrt x) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* 2 x) |
(pow (* 1 (pow x 3)) 1/4) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(* 2 (sqrt x)) |
(* (pow 256 1/16) x) |
(* 2 (sqrt (pow x 3))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1))))) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 155.0ms | x | @ | -inf | ((* (sqrt (sqrt x)) (sqrt (* (sqrt x) (* x 2)))) (sqrt (sqrt x)) (sqrt x) (sqrt (* (sqrt x) (* x 2))) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (* (pow x 3/4) (sqrt (* (sqrt x) 2))) (pow x 3/4) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32) (* (sqrt x) (* x 2))) |
| 45.0ms | x | @ | 0 | ((* (sqrt (sqrt x)) (sqrt (* (sqrt x) (* x 2)))) (sqrt (sqrt x)) (sqrt x) (sqrt (* (sqrt x) (* x 2))) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (* (pow x 3/4) (sqrt (* (sqrt x) 2))) (pow x 3/4) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32) (* (sqrt x) (* x 2))) |
| 42.0ms | x | @ | inf | ((* (sqrt (sqrt x)) (sqrt (* (sqrt x) (* x 2)))) (sqrt (sqrt x)) (sqrt x) (sqrt (* (sqrt x) (* x 2))) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (* (pow x 3/4) (sqrt (* (sqrt x) 2))) (pow x 3/4) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32) (* (sqrt x) (* x 2))) |
| 1× | egg-herbie |
Useful iterations: 17 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 130 |
| 1 | 137 | 130 |
| 2 | 366 | 129 |
| 3 | 804 | 129 |
| 4 | 1059 | 129 |
| 5 | 1381 | 129 |
| 6 | 1781 | 129 |
| 7 | 2189 | 129 |
| 8 | 2585 | 129 |
| 9 | 3000 | 129 |
| 10 | 3218 | 129 |
| 11 | 3372 | 129 |
| 12 | 3497 | 129 |
| 13 | 3645 | 129 |
| 14 | 3949 | 129 |
| 15 | 4302 | 129 |
| 16 | 4812 | 128 |
| 17 | 5737 | 127 |
| 18 | 6636 | 127 |
| 19 | 7342 | 127 |
| 20 | 7954 | 127 |
| 0 | 8034 | 127 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (sqrt 2)) |
(pow (* 1 x) 1/4) |
(sqrt x) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* 2 x) |
(pow (* 1 (pow x 3)) 1/4) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(* 2 (sqrt x)) |
(* (pow 256 1/16) x) |
(* 2 (sqrt (pow x 3))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1))))) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(pow (* 1 (pow x 3)) 1/4) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* 2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* (pow 256 1/16) x) |
(*.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)) x) |
(* 2 (sqrt (pow x 3))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64)))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 x))) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1))))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 11/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 79 |
| 0 | 35 | 78 |
| 1 | 83 | 64 |
| 2 | 221 | 58 |
| 3 | 722 | 52 |
| 4 | 4489 | 52 |
| 0 | 8102 | 52 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(sqrt.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
(sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (*.f64 x #s(literal 2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(pow.f64 x #s(literal 3/4 binary64)) |
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) |
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) |
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) |
(*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 13/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/32 binary64))) (pow.f64 x #s(literal 3/32 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/16 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64)))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64)))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 5/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) (*.f64 (pow.f64 x #s(literal 5/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 x)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 5/8 binary64))) |
(*.f64 (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 9/16 binary64)) (*.f64 (pow.f64 x #s(literal 7/16 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 13/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/16 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 5/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/8 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 5/8 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))) |
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 7/8 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 7/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 9/16 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 5/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 5/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/4 binary64))))) |
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64))) (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/16 binary64))) (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))) |
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))) |
(*.f64 (pow.f64 x #s(literal 3/32 binary64)) (*.f64 (pow.f64 x #s(literal 3/32 binary64)) (*.f64 (pow.f64 x #s(literal 13/16 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/4 binary64))))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/8 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (*.f64 (pow.f64 x #s(literal 13/16 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(pow.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x)) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) x)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) x)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64)))) |
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(exp.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 x) (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 #s(literal 4 binary64) x)) (*.f64 #s(literal 3/8 binary64) (log.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (log.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/4 binary64) (log.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 x) (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal 3/8 binary64) (log.f64 x) (log.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (log.f64 x))) (*.f64 #s(literal 3/8 binary64) (log.f64 x)))) |
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (log.f64 x))) |
(exp.f64 (fma.f64 #s(literal 3/8 binary64) (log.f64 x) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (log.f64 x))))) |
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 3/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 7/32 binary64)) (pow.f64 x #s(literal 1/32 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/32 binary64)) (pow.f64 x #s(literal 5/32 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3/16 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 x #s(literal 1/16 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 x)) |
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(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) x))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 4 binary64) x)) #s(literal 1/8 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) |
(pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64)) #s(literal 4 binary64)) |
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))) |
(exp.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 #s(literal 4 binary64) x)) (log.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) x)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64))) |
(*.f64 (exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3/8 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 5/8 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 5/8 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(*.f64 x #s(literal 1 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x))) |
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (+.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (+.f64 (log.f64 x) #s(literal 0 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(exp.f64 (+.f64 #s(literal 0 binary64) (log.f64 x))) |
(exp.f64 (+.f64 (log.f64 x) #s(literal 0 binary64))) |
#s(literal 1 binary64) |
(*.f64 (exp.f64 (fma.f64 #s(literal 5/4 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 7/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3/8 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 5/8 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 5/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) x) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) |
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (exp.f64 (fma.f64 #s(literal 5/4 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) |
(exp.f64 (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) |
Compiled 7 215 to 1 467 computations (79.7% saved)
12 alts after pruning (5 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 535 | 5 | 540 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 3 | 3 |
| Total | 535 | 12 | 547 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 34.4% | (pow.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)) |
| ✓ | 99.2% | (*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) |
| ✓ | 99.5% | (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
| ▶ | 69.2% | (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
| ▶ | 99.5% | (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 1/2 binary64))) |
| ✓ | 99.5% | (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
| ▶ | 99.2% | (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x))) |
| ✓ | 69.2% | (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
| ✓ | 99.3% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ▶ | 20.3% | (*.f64 x #s(literal 1 binary64)) |
| ✓ | 53.9% | (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) |
| ✓ | 53.9% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
Compiled 146 to 117 computations (19.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (sqrt.f64 (sqrt.f64 x)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x))) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3/2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (pow.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)) | |
| cost-diff | 640 | (*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 320 | (*.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 x #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 1/2 binary64))) | |
| cost-diff | 5824 | (pow.f64 x #s(literal 1/2 binary64)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 133 |
| 0 | 49 | 129 |
| 1 | 74 | 125 |
| 2 | 132 | 119 |
| 3 | 185 | 115 |
| 4 | 198 | 115 |
| 0 | 198 | 115 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 1/2 binary64))) |
(sqrt.f64 (*.f64 x #s(literal 2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(pow.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(pow.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 x x) |
x |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
#s(literal 1/4 binary64) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) |
(pow.f64 x #s(literal 3/2 binary64)) |
x |
#s(literal 3/2 binary64) |
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(sqrt.f64 x) |
#s(literal 2 binary64) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x))) |
(sqrt.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x)) |
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 4 binary64) x) |
#s(literal 4 binary64) |
#s(literal 1/4 binary64) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) |
(sqrt.f64 (*.f64 x #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
x |
#s(literal 2 binary64) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
#s(literal 1/2 binary64) |
(*.f64 x #s(literal 1 binary64)) |
x |
x |
#s(literal 1 binary64) |
(pow.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) |
(*.f64 x x) |
x |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
#s(literal 1/4 binary64) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) |
(pow.f64 x #s(literal 3/2 binary64)) |
x |
#s(literal 3/2 binary64) |
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(sqrt.f64 x) |
#s(literal 2 binary64) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) |
(sqrt.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x)) |
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 4 binary64) x) |
#s(literal 4 binary64) |
#s(literal 1/4 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.15625 | (sqrt.f64 (sqrt.f64 x)) | |
| accuracy | 0.293632519536884 | (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x))) | |
| accuracy | 0.3125 | (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.17578125 | (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) | |
| accuracy | 0.32650375976844204 | (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) | |
| accuracy | 20.048234800577788 | (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.0625 | (*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x)) | |
| accuracy | 0.09375 | (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) | |
| accuracy | 41.990559600134645 | (pow.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)) | |
| accuracy | 0 | (*.f64 x #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 0 | (sqrt.f64 (*.f64 x #s(literal 2 binary64))) | |
| accuracy | 0.00390625 | (pow.f64 x #s(literal 1/2 binary64)) | |
| accuracy | 0.3359375 | (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 1/2 binary64))) |
| 58.0ms | 256× | 0 | valid |
Compiled 268 to 57 computations (78.7% saved)
ival-mult: 18.0ms (41.9% of total)ival-pow: 15.0ms (34.9% of total)ival-sqrt: 8.0ms (18.6% of total)exact: 1.0ms (2.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(pow.f64 x #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 1/2 binary64))) |
(sqrt.f64 (*.f64 x #s(literal 2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x)) |
(pow.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)) |
(*.f64 x x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) |
(pow.f64 x #s(literal 3/2 binary64)) |
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x))) |
(sqrt.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) |
| Outputs |
|---|
(sqrt x) |
(* x (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* 2 x) |
x |
(* 4 (pow x 4)) |
(* (pow 4 1/4) x) |
(pow x 2) |
(pow (* 1 (pow x 3)) 1/4) |
(sqrt (pow x 3)) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(pow (* 1 x) 1/4) |
(exp (* 1/4 (+ (log 4) (* 3 (log x))))) |
(* 2 (pow x 3)) |
(exp (* 1/4 (+ (log 4) (* -3 (log (/ 1 x)))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (pow 4 1/4) x)) |
(* -1 (* x (* (sqrt -1) (sqrt 2)))) |
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (sqrt -1))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(* -1 (* (pow -4 1/4) (* x (sqrt (pow (sqrt -1) 3))))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(* (exp (* 1/4 (+ (log -4) (* -3 (log (/ -1 x)))))) (sqrt -1)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 54.0ms | x | @ | -inf | ((pow x 1/2) (* (sqrt (* x 2)) (pow x 1/2)) (sqrt (* x 2)) (* x 2) (* x 1) (* (* (* x x) (* 2 x)) (* 2 x)) (pow (* (* (* x x) (* 2 x)) (* 2 x)) 1/4) (* x x) (* 2 x) (* (sqrt (pow x 3/2)) (sqrt (* (sqrt x) 2))) (sqrt (pow x 3/2)) (pow x 3/2) (sqrt (* (sqrt x) 2)) (* (sqrt (sqrt x)) (* (pow (* 4 x) 1/4) (sqrt x))) (sqrt (sqrt x)) (sqrt x) (* (pow (* 4 x) 1/4) (sqrt x)) (* (* x x) (* 2 x))) |
| 48.0ms | x | @ | 0 | ((pow x 1/2) (* (sqrt (* x 2)) (pow x 1/2)) (sqrt (* x 2)) (* x 2) (* x 1) (* (* (* x x) (* 2 x)) (* 2 x)) (pow (* (* (* x x) (* 2 x)) (* 2 x)) 1/4) (* x x) (* 2 x) (* (sqrt (pow x 3/2)) (sqrt (* (sqrt x) 2))) (sqrt (pow x 3/2)) (pow x 3/2) (sqrt (* (sqrt x) 2)) (* (sqrt (sqrt x)) (* (pow (* 4 x) 1/4) (sqrt x))) (sqrt (sqrt x)) (sqrt x) (* (pow (* 4 x) 1/4) (sqrt x)) (* (* x x) (* 2 x))) |
| 40.0ms | x | @ | inf | ((pow x 1/2) (* (sqrt (* x 2)) (pow x 1/2)) (sqrt (* x 2)) (* x 2) (* x 1) (* (* (* x x) (* 2 x)) (* 2 x)) (pow (* (* (* x x) (* 2 x)) (* 2 x)) 1/4) (* x x) (* 2 x) (* (sqrt (pow x 3/2)) (sqrt (* (sqrt x) 2))) (sqrt (pow x 3/2)) (pow x 3/2) (sqrt (* (sqrt x) 2)) (* (sqrt (sqrt x)) (* (pow (* 4 x) 1/4) (sqrt x))) (sqrt (sqrt x)) (sqrt x) (* (pow (* 4 x) 1/4) (sqrt x)) (* (* x x) (* 2 x))) |
| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 169 |
| 1 | 175 | 166 |
| 2 | 464 | 155 |
| 3 | 825 | 153 |
| 4 | 1234 | 153 |
| 5 | 1648 | 153 |
| 6 | 2404 | 153 |
| 7 | 2905 | 153 |
| 8 | 3414 | 153 |
| 9 | 4230 | 153 |
| 10 | 5834 | 153 |
| 11 | 7320 | 153 |
| 0 | 8046 | 153 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt x) |
(* x (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* 2 x) |
x |
(* 4 (pow x 4)) |
(* (pow 4 1/4) x) |
(pow x 2) |
(pow (* 1 (pow x 3)) 1/4) |
(sqrt (pow x 3)) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(pow (* 1 x) 1/4) |
(exp (* 1/4 (+ (log 4) (* 3 (log x))))) |
(* 2 (pow x 3)) |
(exp (* 1/4 (+ (log 4) (* -3 (log (/ 1 x)))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (pow 4 1/4) x)) |
(* -1 (* x (* (sqrt -1) (sqrt 2)))) |
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (sqrt -1))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(* -1 (* (pow -4 1/4) (* x (sqrt (pow (sqrt -1) 3))))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(* (exp (* 1/4 (+ (log -4) (* -3 (log (/ -1 x)))))) (sqrt -1)) |
| Outputs |
|---|
(sqrt x) |
(sqrt.f64 x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
x |
(* 4 (pow x 4)) |
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* (pow 4 1/4) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(pow (* 1 (pow x 3)) 1/4) |
(pow.f64 x #s(literal 3/4 binary64)) |
(sqrt (pow x 3)) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(exp (* 1/4 (+ (log 4) (* 3 (log x))))) |
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) |
(* 2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) |
(exp (* 1/4 (+ (log 4) (* -3 (log (/ 1 x)))))) |
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x))) |
(* -1 (* (pow 4 1/4) x)) |
(*.f64 (neg.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* -1 (* x (* (sqrt -1) (sqrt 2)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (sqrt -1))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/4 binary64))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))) |
(* -1 (* (pow -4 1/4) (* x (sqrt (pow (sqrt -1) 3))))) |
(*.f64 (*.f64 (neg.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal -1/4 binary64))) x) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* (exp (* 1/4 (+ (log -4) (* -3 (log (/ -1 x)))))) (sqrt -1)) |
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3/4 binary64)) (pow.f64 #s(literal -1/4 binary64) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1 binary64))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 105 |
| 0 | 49 | 86 |
| 1 | 114 | 80 |
| 2 | 393 | 66 |
| 3 | 1832 | 64 |
| 4 | 7539 | 64 |
| 0 | 8321 | 64 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 x #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 1/2 binary64))) |
(sqrt.f64 (*.f64 x #s(literal 2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x)) |
(pow.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)) |
(*.f64 x x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) |
(pow.f64 x #s(literal 3/2 binary64)) |
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x))) |
(sqrt.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 7/8 binary64))) (pow.f64 x #s(literal 1/16 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/16 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/16 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (sqrt.f64 (pow.f64 x #s(literal 5/8 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 (pow.f64 x #s(literal 5/8 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x)) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
(fabs.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))) |
(fabs.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))) |
(fabs.f64 (neg.f64 (sqrt.f64 x))) |
(fabs.f64 (sqrt.f64 x)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 x))) |
(exp.f64 (log.f64 (sqrt.f64 x))) |
(*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)))) (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) (*.f64 (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 1/4 binary64))))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 4 binary64)))) (sqrt.f64 x)) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64)))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))) |
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (pow.f64 (*.f64 #s(literal 16 binary64) x) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (sqrt.f64 x)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 3/16 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4 binary64))) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (sqrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/8 binary64))))) |
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 16 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/8 binary64))) |
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(sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) x))) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64))) #s(literal 1/8 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (fma.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 3/4 binary64) (log.f64 x)))) |
(*.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64)))) x) |
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (log.f64 #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) x) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 x (exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))))) |
(*.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(exp.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) |
Compiled 6 619 to 1 329 computations (79.9% saved)
13 alts after pruning (2 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 490 | 2 | 492 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 7 | 7 |
| Total | 491 | 13 | 504 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 34.4% | (pow.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)) |
| ✓ | 99.2% | (*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) |
| ✓ | 99.5% | (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
| ✓ | 69.2% | (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
| 69.2% | (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) | |
| ✓ | 99.5% | (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 1/2 binary64))) |
| ✓ | 99.5% | (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
| ✓ | 99.2% | (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x))) |
| ✓ | 69.2% | (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
| ✓ | 99.3% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ✓ | 53.9% | (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) |
| ✓ | 53.9% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 20.3% | x |
Compiled 275 to 153 computations (44.4% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 1/2 binary64))) |
(pow.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x))) |
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) |
(*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
3 calls:
| 7.0ms | x |
| 5.0ms | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| 5.0ms | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 99.5% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 1/2 binary64))) |
(pow.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x))) |
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 1/2 binary64))) |
3 calls:
| 5.0ms | x |
| 5.0ms | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| 5.0ms | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 99.5% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
3 calls:
| 3.0ms | x |
| 3.0ms | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| 3.0ms | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 99.5% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
3 calls:
| 4.0ms | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 2.0ms | x |
| 2.0ms | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
| 99.3% | 1 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 99.3% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
Compiled 12 to 10 computations (16.7% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
x |
3 calls:
| 1.0ms | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 1.0ms | x |
| 1.0ms | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 20.3% | 1 | x |
| 20.3% | 1 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 20.3% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
Compiled 12 to 10 computations (16.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 29 |
| 1 | 24 | 29 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
x |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
x |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 79 |
| 0 | 35 | 78 |
| 1 | 83 | 64 |
| 2 | 221 | 58 |
| 3 | 722 | 52 |
| 4 | 4489 | 52 |
| 0 | 8102 | 52 |
| 0 | 28 | 105 |
| 0 | 49 | 86 |
| 1 | 114 | 80 |
| 2 | 393 | 66 |
| 3 | 1832 | 64 |
| 4 | 7539 | 64 |
| 0 | 8321 | 64 |
| 0 | 5 | 14 |
| 0 | 8 | 14 |
| 1 | 17 | 14 |
| 2 | 38 | 13 |
| 3 | 92 | 12 |
| 4 | 338 | 12 |
| 5 | 2074 | 12 |
| 0 | 8672 | 12 |
| 0 | 24 | 100 |
| 0 | 42 | 102 |
| 1 | 97 | 95 |
| 2 | 267 | 70 |
| 3 | 1074 | 70 |
| 4 | 4198 | 70 |
| 0 | 8175 | 70 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 118 to 81 computations (31.4% saved)
Compiled 142 to 110 computations (22.5% saved)
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