
Time bar (total: 10.2s)
| 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)
| 417.0ms | 8 256× | 0 | valid |
ival-mult: 132.0ms (65.4% of total)ival-sqrt: 57.0ms (28.3% of total)ival-true: 5.0ms (2.5% of total)exact: 5.0ms (2.5% of total)ival-assert: 3.0ms (1.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 120 | 0 | - | 2 | (-7.769471094572714e-162) | (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)) | uflow-rescue | 62 | 0 |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) x) x) | underflow | 62 | |
sqrt.f64 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) | oflow-rescue | 56 | 0 |
| ↳ | (*.f64 #s(literal 2 binary64) x) | overflow | 1 | |
| ↳ | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) | overflow | 1 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) x) x) | overflow | 57 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 118 | 2 |
| - | 0 | 136 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 118 | 0 | 2 |
| - | 0 | 0 | 136 |
| number | freq |
|---|---|
| 0 | 138 |
| 1 | 118 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 21.0ms | 512× | 0 | valid |
Compiled 58 to 24 computations (58.6% saved)
ival-mult: 7.0ms (63.6% of total)ival-sqrt: 3.0ms (27.3% 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 |
|---|---|---|
| ▶ | 56.4% | (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 | 27.887062279147173 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 70.0ms | 256× | 0 | valid |
Compiled 34 to 12 computations (64.7% saved)
ival-sqrt: 61.0ms (93.3% of total)ival-mult: 4.0ms (6.1% 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)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 115 | 7 | 122 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 115 | 8 | 123 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.4% | (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
| 73.7% | (*.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)) | |
| ▶ | 99.4% | (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
| ▶ | 99.2% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ▶ | 56.4% | (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
| ▶ | 56.3% | (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) |
| ✓ | 56.4% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
Compiled 124 to 101 computations (18.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3/2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.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 | (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)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 113 |
| 0 | 36 | 113 |
| 1 | 50 | 105 |
| 2 | 70 | 105 |
| 3 | 90 | 105 |
| 4 | 95 | 105 |
| 5 | 97 | 105 |
| 0 | 97 | 105 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.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 (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) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(pow.f64 x #s(literal 3/2 binary64)) |
x |
#s(literal 3/2 binary64) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(sqrt.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)) |
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) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.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) |
(sqrt.f64 x) |
(*.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) x) #s(literal 2 binary64)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
x |
#s(literal 2 binary64) |
(sqrt.f64 x) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 x)) |
(pow.f64 x #s(literal 3/2 binary64)) |
x |
#s(literal 3/2 binary64) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(sqrt.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)))) |
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (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))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(sqrt.f64 x) |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.1171875 | (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) | |
| accuracy | 0.3359375 | (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) | |
| accuracy | 0 | (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.16796875 | (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) | |
| accuracy | 27.887062279147173 | (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.16796875 | (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) | |
| accuracy | 0.2109375 | (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) | |
| accuracy | 27.887062279147173 | (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 | 0.5 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) | |
| accuracy | 0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.23827801073819982 | (sqrt.f64 (*.f64 x #s(literal 2 binary64))) | |
| accuracy | 0.3671875 | (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
| 82.0ms | 256× | 0 | valid |
Compiled 228 to 42 computations (81.6% saved)
ival-pow: 12.0ms (34.8% of total)ival-mult: 11.0ms (31.9% of total)ival-sqrt: 11.0ms (31.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.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)) |
(sqrt.f64 x) |
(*.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)) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(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)) (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))) |
| Outputs |
|---|
(* x (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* 2 x) |
(sqrt x) |
(* 2 (pow x 2)) |
(* 2 (sqrt (pow x 3))) |
(sqrt (pow x 3)) |
(* 2 (sqrt x)) |
(pow (* 1 (pow x 3)) 1/4) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -2 (* (pow x 2) (pow (sqrt -1) 2))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(* -1 (* x (* (sqrt -1) (sqrt 2)))) |
(* 2 (* (pow x 2) (pow (sqrt -1) 2))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -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))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | x | @ | -inf | ((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (* (* (* x 2) (sqrt x)) (sqrt x)) (sqrt (* (* (* x 2) (sqrt x)) (sqrt x))) (* (* x 2) (sqrt x)) (sqrt (* (pow x 3/2) (* (sqrt x) 2))) (* (pow x 3/2) (* (sqrt x) 2)) (pow x 3/2) (* (sqrt x) 2) (* (pow x 3/4) (sqrt (* (sqrt x) 2))) (pow x 3/4) (sqrt (* (sqrt x) 2))) |
| 36.0ms | x | @ | 0 | ((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (* (* (* x 2) (sqrt x)) (sqrt x)) (sqrt (* (* (* x 2) (sqrt x)) (sqrt x))) (* (* x 2) (sqrt x)) (sqrt (* (pow x 3/2) (* (sqrt x) 2))) (* (pow x 3/2) (* (sqrt x) 2)) (pow x 3/2) (* (sqrt x) 2) (* (pow x 3/4) (sqrt (* (sqrt x) 2))) (pow x 3/4) (sqrt (* (sqrt x) 2))) |
| 18.0ms | x | @ | inf | ((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (* (* (* x 2) (sqrt x)) (sqrt x)) (sqrt (* (* (* x 2) (sqrt x)) (sqrt x))) (* (* x 2) (sqrt x)) (sqrt (* (pow x 3/2) (* (sqrt x) 2))) (* (pow x 3/2) (* (sqrt x) 2)) (pow x 3/2) (* (sqrt x) 2) (* (pow x 3/4) (sqrt (* (sqrt x) 2))) (pow x 3/4) (sqrt (* (sqrt x) 2))) |
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 134 |
| 1 | 141 | 126 |
| 2 | 417 | 124 |
| 3 | 976 | 124 |
| 4 | 1360 | 124 |
| 5 | 1897 | 124 |
| 6 | 2365 | 124 |
| 7 | 2816 | 124 |
| 8 | 3057 | 124 |
| 9 | 3220 | 124 |
| 10 | 3403 | 124 |
| 11 | 4506 | 124 |
| 12 | 5145 | 124 |
| 13 | 5468 | 124 |
| 14 | 5877 | 124 |
| 15 | 6570 | 124 |
| 16 | 6875 | 124 |
| 17 | 7206 | 124 |
| 18 | 7875 | 124 |
| 0 | 8063 | 124 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* 2 x) |
(sqrt x) |
(* 2 (pow x 2)) |
(* 2 (sqrt (pow x 3))) |
(sqrt (pow x 3)) |
(* 2 (sqrt x)) |
(pow (* 1 (pow x 3)) 1/4) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -2 (* (pow x 2) (pow (sqrt -1) 2))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(* -1 (* x (* (sqrt -1) (sqrt 2)))) |
(* 2 (* (pow x 2) (pow (sqrt -1) 2))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -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))) |
| Outputs |
|---|
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(sqrt x) |
(sqrt.f64 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)) |
(sqrt (pow x 3)) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(* 2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(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))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(*.f64 (neg.f64 x) (*.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 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -2 (* (pow x 2) (pow (sqrt -1) 2))) |
(*.f64 (*.f64 x 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)) |
(* -1 (* x (* (sqrt -1) (sqrt 2)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(* 2 (* (pow x 2) (pow (sqrt -1) 2))) |
(*.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1))))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 45/4 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 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 88 |
| 0 | 36 | 86 |
| 1 | 77 | 62 |
| 2 | 202 | 61 |
| 3 | 771 | 58 |
| 4 | 6150 | 58 |
| 0 | 8176 | 58 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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)) |
(sqrt.f64 x) |
(*.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)) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(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)) (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))) |
| Outputs |
|---|
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 15/16 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) x) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 15/16 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 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 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 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) x) #s(literal 3 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) x)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 15/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) x) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) x) (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) x) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 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 15/16 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)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) |
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 15/16 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (pow.f64 x #s(literal 15/16 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 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 15/16 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (pow.f64 x #s(literal 15/16 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
(*.f64 x (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 15/16 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))) |
(*.f64 x (*.f64 (pow.f64 x #s(literal 15/16 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (sqrt.f64 x) #s(literal 2 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 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))) |
(exp.f64 (+.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (log.f64 x))) |
(exp.f64 (+.f64 (log.f64 x) (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) |
(exp.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (log.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 (fma.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 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 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (log.f64 x))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 15/16 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) (sqrt.f64 x)) |
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) x)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) x)) |
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 15/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)))) |
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) x) (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 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)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 15/16 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) |
(*.f64 (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 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 15/16 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 15/16 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 15/16 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 15/16 binary64))) |
(*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(pow.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) x))) |
(pow.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) x)))) |
(exp.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 #s(literal 4 binary64)) (log.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))))) |
(exp.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 #s(literal 4 binary64) x)) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))))) |
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (log.f64 x)))) |
(exp.f64 (+.f64 (log.f64 x) (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (log.f64 x)))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 15/16 binary64)) #s(literal 2 binary64)) x) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 15/16 binary64)) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 15/16 binary64))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x (*.f64 (pow.f64 x #s(literal 15/16 binary64)) #s(literal 2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 15/16 binary64)) #s(literal 7/16 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 7/16 binary64)) (pow.f64 x #s(literal 7/16 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 13/8 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 13/8 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 15/16 binary64)) #s(literal 13/8 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 15/16 binary64)) #s(literal 7/8 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 15/16 binary64)) #s(literal 7/4 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 15/16 binary64)) #s(literal 5/2 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 15/16 binary64)) #s(literal 5/8 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 15/16 binary64)) #s(literal 1/16 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (sqrt.f64 x)) |
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(exp.f64 (*.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3/4 binary64))) (log.f64 x)) #s(literal 3/16 binary64))) |
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(exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 15/16 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) x) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 15/16 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 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 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 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) x) #s(literal 3 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) x)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 15/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) x) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) x) (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) x) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 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 15/16 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)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) |
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 15/16 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (pow.f64 x #s(literal 15/16 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 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 15/16 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (pow.f64 x #s(literal 15/16 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
(*.f64 x (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 15/16 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))) |
(*.f64 x (*.f64 (pow.f64 x #s(literal 15/16 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (sqrt.f64 x) #s(literal 2 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 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))) |
(exp.f64 (+.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (log.f64 x))) |
(exp.f64 (+.f64 (log.f64 x) (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) |
(exp.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (log.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 (fma.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 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 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (log.f64 x))) |
Compiled 13 364 to 3 154 computations (76.4% saved)
10 alts after pruning (4 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 009 | 2 | 1 011 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 009 | 10 | 1 019 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.2% | (*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x) |
| ✓ | 99.4% | (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
| ▶ | 73.7% | (*.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)) |
| ▶ | 99.0% | (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) |
| ✓ | 99.4% | (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
| ✓ | 99.2% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ✓ | 56.4% | (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
| ✓ | 56.3% | (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) |
| ✓ | 56.4% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
Compiled 80 to 66 computations (17.5% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x) | |
| cost-diff | 6464 | (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) | |
| 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 (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 | (sqrt.f64 #s(literal 2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 1600 | (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 93 |
| 0 | 33 | 91 |
| 1 | 45 | 85 |
| 2 | 57 | 81 |
| 3 | 61 | 81 |
| 4 | 76 | 81 |
| 5 | 89 | 81 |
| 0 | 89 | 81 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 x) |
x |
(sqrt.f64 #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 |
(*.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 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x) |
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/8 binary64) |
#s(literal 2 binary64) |
x |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
(sqrt.f64 #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)) |
(*.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 |
(*.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 #s(literal 2 binary64) (sqrt.f64 x)) 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 #s(literal 2 binary64) (sqrt.f64 x)) x)) |
(*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) x) |
(sqrt.f64 x) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) |
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/8 binary64) |
#s(literal 2 binary64) |
x |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) | |
| accuracy | 0.5 | (*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x) | |
| accuracy | 1.0 | (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.2109375 | (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) | |
| accuracy | 0.33822250976844204 | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) | |
| accuracy | 17.275699250650135 | (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) | |
| accuracy | 0 | (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) | |
| accuracy | 0.25 | (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) | |
| accuracy | 0.28515625 | (*.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 | (sqrt.f64 #s(literal 2 binary64)) | |
| accuracy | 0.3671875 | (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) | |
| accuracy | 0.4694137695368841 | (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
| 45.0ms | 256× | 0 | valid |
Compiled 188 to 40 computations (78.7% saved)
ival-pow: 14.0ms (41.8% of total)ival-mult: 11.0ms (32.8% of total)ival-sqrt: 5.0ms (14.9% of total)ival-pow2: 2.0ms (6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 x) |
(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)) |
(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 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))) |
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) |
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x) |
| Outputs |
|---|
(* x (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(sqrt x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/8) x) |
(pow (* 1 x) 1/4) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* 2 (sqrt (pow x 3))) |
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* -1 (* (sqrt x) (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)))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 78.0ms | x | @ | -inf | ((* (* (sqrt x) (sqrt 2)) (sqrt x)) (* (sqrt x) (sqrt 2)) (sqrt x) (sqrt 2) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x) (* (pow x 1/4) (sqrt (* (sqrt x) (* x 2)))) (pow x 1/4) (sqrt (* (sqrt x) (* x 2))) (* (sqrt x) (* x 2)) (pow (pow 4 1/8) 2) (* (pow (pow 4 1/8) 2) x)) |
| 60.0ms | x | @ | inf | ((* (* (sqrt x) (sqrt 2)) (sqrt x)) (* (sqrt x) (sqrt 2)) (sqrt x) (sqrt 2) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x) (* (pow x 1/4) (sqrt (* (sqrt x) (* x 2)))) (pow x 1/4) (sqrt (* (sqrt x) (* x 2))) (* (sqrt x) (* x 2)) (pow (pow 4 1/8) 2) (* (pow (pow 4 1/8) 2) x)) |
| 48.0ms | x | @ | 0 | ((* (* (sqrt x) (sqrt 2)) (sqrt x)) (* (sqrt x) (sqrt 2)) (sqrt x) (sqrt 2) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x) (* (pow x 1/4) (sqrt (* (sqrt x) (* x 2)))) (pow x 1/4) (sqrt (* (sqrt x) (* x 2))) (* (sqrt x) (* x 2)) (pow (pow 4 1/8) 2) (* (pow (pow 4 1/8) 2) x)) |
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 84 |
| 1 | 120 | 84 |
| 2 | 364 | 83 |
| 3 | 791 | 83 |
| 4 | 1230 | 83 |
| 5 | 1966 | 83 |
| 6 | 2769 | 83 |
| 7 | 4848 | 83 |
| 8 | 6363 | 83 |
| 9 | 7790 | 83 |
| 0 | 8017 | 83 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(sqrt x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/8) x) |
(pow (* 1 x) 1/4) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* 2 (sqrt (pow x 3))) |
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* -1 (* (sqrt x) (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)))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt x) |
(sqrt.f64 x) |
(* (pow 4 1/4) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(* (pow 4 1/8) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 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 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* 2 (sqrt (pow x 3))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2)))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1))))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 21/4 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))) |
(* -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 | 19 | 73 |
| 0 | 33 | 63 |
| 1 | 75 | 56 |
| 2 | 195 | 46 |
| 3 | 670 | 37 |
| 4 | 4950 | 37 |
| 0 | 8167 | 37 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 x) |
(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)) |
(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 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))) |
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) |
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/8 binary64)))) (pow.f64 x #s(literal 1/16 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/8 binary64)))) (pow.f64 x #s(literal 3/16 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 15/16 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/32 binary64))) (pow.f64 x #s(literal 1/32 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/16 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 7/16 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 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 x (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 13/16 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/16 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/8 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) #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 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 5/8 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 15/16 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/16 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (*.f64 (pow.f64 x #s(literal 13/16 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 7/16 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 7/16 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/8 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 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 #s(literal 1 binary64) x))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) x)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (*.f64 (pow.f64 x #s(literal 5/8 binary64)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) x)) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) (*.f64 #s(literal 1 binary64) x))) |
(*.f64 (pow.f64 x #s(literal 1/32 binary64)) (*.f64 (pow.f64 x #s(literal 1/32 binary64)) (*.f64 (pow.f64 x #s(literal 15/16 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 5/8 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 5/8 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/16 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 15/16 binary64)) #s(literal 1 binary64))) |
(*.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 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 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 x)))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) x) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 1/2 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 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)) #s(literal 8 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x))) |
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) |
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (+.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) #s(literal 0 binary64)) (*.f64 (log.f64 x) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (fma.f64 (log.f64 x) #s(literal 1/4 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 1/8 binary64) (fma.f64 #s(literal 3/8 binary64) (log.f64 x) #s(literal 0 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (log.f64 (sqrt.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (+.f64 (fma.f64 #s(literal 3/8 binary64) (log.f64 x) #s(literal 0 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (+.f64 (fma.f64 (log.f64 x) #s(literal 1/8 binary64) (fma.f64 #s(literal 3/4 binary64) (log.f64 x) #s(literal 0 binary64))) (*.f64 (log.f64 x) #s(literal 1/8 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (+.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 3/4 binary64) (log.f64 x))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal 3/4 binary64) (log.f64 x) (fma.f64 (log.f64 x) #s(literal 1/4 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 1/8 binary64) (fma.f64 (log.f64 x) #s(literal 1/8 binary64) (fma.f64 #s(literal 3/4 binary64) (log.f64 x) #s(literal 0 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (fma.f64 (log.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 x))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (+.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (log.f64 x) #s(literal 0 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (+.f64 (log.f64 x) #s(literal 0 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (fma.f64 #s(literal 3/4 binary64) (log.f64 x) #s(literal 0 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) x)) #s(literal 1/4 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 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(exp.f64 (+.f64 (fma.f64 (log.f64 x) #s(literal 1/8 binary64) (fma.f64 #s(literal 3/4 binary64) (log.f64 x) #s(literal 0 binary64))) (*.f64 (log.f64 x) #s(literal 1/8 binary64)))) |
(exp.f64 (+.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 3/4 binary64) (log.f64 x)))) |
(exp.f64 (fma.f64 #s(literal 3/4 binary64) (log.f64 x) (fma.f64 (log.f64 x) #s(literal 1/4 binary64) #s(literal 0 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/8 binary64) (fma.f64 (log.f64 x) #s(literal 1/8 binary64) (fma.f64 #s(literal 3/4 binary64) (log.f64 x) #s(literal 0 binary64))))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 x)))) |
(exp.f64 (+.f64 #s(literal 0 binary64) (log.f64 x))) |
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (log.f64 x) #s(literal 0 binary64)))) |
(exp.f64 (+.f64 (log.f64 x) #s(literal 0 binary64))) |
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (log.f64 x))) |
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))) |
(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 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (fma.f64 #s(literal 3/4 binary64) (log.f64 x) #s(literal 0 binary64)))) |
(exp.f64 (log.f64 (*.f64 #s(literal 1 binary64) x))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/16 binary64))) (pow.f64 x #s(literal 1/16 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 3/16 binary64))) |
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#s(literal 1 binary64) |
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(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) |
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (+.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) #s(literal 0 binary64)) (*.f64 (log.f64 x) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (fma.f64 (log.f64 x) #s(literal 1/4 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 1/8 binary64) (fma.f64 #s(literal 3/8 binary64) (log.f64 x) #s(literal 0 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (log.f64 (sqrt.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (+.f64 (fma.f64 #s(literal 3/8 binary64) (log.f64 x) #s(literal 0 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (+.f64 (fma.f64 (log.f64 x) #s(literal 1/8 binary64) (fma.f64 #s(literal 3/4 binary64) (log.f64 x) #s(literal 0 binary64))) (*.f64 (log.f64 x) #s(literal 1/8 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (+.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 3/4 binary64) (log.f64 x))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal 3/4 binary64) (log.f64 x) (fma.f64 (log.f64 x) #s(literal 1/4 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 1/8 binary64) (fma.f64 (log.f64 x) #s(literal 1/8 binary64) (fma.f64 #s(literal 3/4 binary64) (log.f64 x) #s(literal 0 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (fma.f64 (log.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 x))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (+.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (log.f64 x) #s(literal 0 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (+.f64 (log.f64 x) #s(literal 0 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (fma.f64 #s(literal 3/4 binary64) (log.f64 x) #s(literal 0 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) x)) #s(literal 1/4 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 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(exp.f64 (+.f64 (fma.f64 (log.f64 x) #s(literal 1/8 binary64) (fma.f64 #s(literal 3/4 binary64) (log.f64 x) #s(literal 0 binary64))) (*.f64 (log.f64 x) #s(literal 1/8 binary64)))) |
(exp.f64 (+.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 3/4 binary64) (log.f64 x)))) |
(exp.f64 (fma.f64 #s(literal 3/4 binary64) (log.f64 x) (fma.f64 (log.f64 x) #s(literal 1/4 binary64) #s(literal 0 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/8 binary64) (fma.f64 (log.f64 x) #s(literal 1/8 binary64) (fma.f64 #s(literal 3/4 binary64) (log.f64 x) #s(literal 0 binary64))))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 x)))) |
(exp.f64 (+.f64 #s(literal 0 binary64) (log.f64 x))) |
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (log.f64 x) #s(literal 0 binary64)))) |
(exp.f64 (+.f64 (log.f64 x) #s(literal 0 binary64))) |
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (log.f64 x))) |
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))) |
(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 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (fma.f64 #s(literal 3/4 binary64) (log.f64 x) #s(literal 0 binary64)))) |
(exp.f64 (log.f64 (*.f64 #s(literal 1 binary64) x))) |
Compiled 7 111 to 1 447 computations (79.7% saved)
12 alts after pruning (3 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 547 | 3 | 550 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 6 | 6 |
| Total | 548 | 12 | 560 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.2% | (*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x) |
| ✓ | 99.4% | (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.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)) |
| ✓ | 99.0% | (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) |
| ✓ | 99.4% | (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
| ▶ | 73.7% | (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
| ✓ | 99.2% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ▶ | 20.7% | (*.f64 x #s(literal 2 binary64)) |
| ▶ | 20.3% | (*.f64 x #s(literal 1 binary64)) |
| ✓ | 56.4% | (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
| ✓ | 56.3% | (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) |
| ✓ | 56.4% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
Compiled 86 to 71 computations (17.4% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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))))) | |
| cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) | |
| cost-diff | 320 | (*.f64 x #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 44 |
| 0 | 17 | 42 |
| 1 | 25 | 42 |
| 2 | 40 | 42 |
| 3 | 53 | 42 |
| 4 | 53 | 42 |
| 0 | 53 | 42 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(*.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) |
| Outputs |
|---|
(*.f64 x #s(literal 1 binary64)) |
x |
x |
#s(literal 1 binary64) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
x |
#s(literal 2 binary64) |
(*.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) #s(literal 2 binary64)) x)) (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) #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) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1015625 | (sqrt.f64 (sqrt.f64 x)) | |
| accuracy | 0.2109375 | (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) | |
| accuracy | 0.33822250976844204 | (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) | |
| accuracy | 17.275699250650135 | (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) | |
| accuracy | 0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 0 | (*.f64 x #s(literal 1 binary64)) |
| 25.0ms | 256× | 0 | valid |
Compiled 90 to 22 computations (75.6% saved)
ival-sqrt: 12.0ms (67.5% of total)ival-mult: 6.0ms (33.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x #s(literal 2 binary64)) |
(*.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 x) (*.f64 x #s(literal 2 binary64))) |
| Outputs |
|---|
x |
(* 2 x) |
(* x (sqrt 2)) |
(pow (* 1 x) 1/4) |
(sqrt x) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* 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)))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | x | @ | -inf | ((* x 1) (* x 2) (* (sqrt (sqrt x)) (sqrt (* (sqrt x) (* x 2)))) (sqrt (sqrt x)) (sqrt x) (sqrt (* (sqrt x) (* x 2))) (* (sqrt x) (* x 2))) |
| 17.0ms | x | @ | 0 | ((* x 1) (* x 2) (* (sqrt (sqrt x)) (sqrt (* (sqrt x) (* x 2)))) (sqrt (sqrt x)) (sqrt x) (sqrt (* (sqrt x) (* x 2))) (* (sqrt x) (* x 2))) |
| 16.0ms | x | @ | inf | ((* x 1) (* x 2) (* (sqrt (sqrt x)) (sqrt (* (sqrt x) (* x 2)))) (sqrt (sqrt x)) (sqrt x) (sqrt (* (sqrt x) (* x 2))) (* (sqrt x) (* x 2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 64 |
| 1 | 76 | 64 |
| 2 | 191 | 64 |
| 3 | 322 | 64 |
| 4 | 467 | 64 |
| 5 | 596 | 64 |
| 6 | 768 | 64 |
| 7 | 1123 | 64 |
| 8 | 1647 | 64 |
| 9 | 1702 | 64 |
| 10 | 1847 | 64 |
| 11 | 1988 | 64 |
| 12 | 2076 | 64 |
| 13 | 2234 | 64 |
| 14 | 2302 | 64 |
| 15 | 2397 | 64 |
| 16 | 2413 | 64 |
| 17 | 2417 | 64 |
| 18 | 2423 | 64 |
| 19 | 2427 | 64 |
| 20 | 2427 | 64 |
| 0 | 2427 | 64 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
x |
(* 2 x) |
(* x (sqrt 2)) |
(pow (* 1 x) 1/4) |
(sqrt x) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* 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)))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
| Outputs |
|---|
x |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 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))) |
(* 2 (sqrt (pow x 3))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 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 (*.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))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 35 |
| 0 | 17 | 23 |
| 1 | 33 | 21 |
| 2 | 93 | 21 |
| 3 | 333 | 21 |
| 4 | 1706 | 9 |
| 0 | 10762 | 9 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x #s(literal 2 binary64)) |
(*.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 x) (*.f64 x #s(literal 2 binary64))) |
| Outputs |
|---|
x |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (log.f64 #s(literal 4 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) #s(literal 4 binary64)) |
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
x |
#s(literal 1 binary64) |
x |
#s(literal 1 binary64) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (log.f64 #s(literal 4 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) #s(literal 4 binary64)) |
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
#s(literal 2 binary64) |
Compiled 299 to 104 computations (65.2% saved)
14 alts after pruning (3 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 31 | 3 | 34 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 9 | 9 |
| Total | 32 | 14 | 46 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.2% | (*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x) |
| ✓ | 99.4% | (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.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)) |
| ✓ | 99.0% | (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) |
| ✓ | 99.4% | (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
| ✓ | 73.7% | (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
| ✓ | 99.2% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ✓ | 20.7% | (*.f64 x #s(literal 2 binary64)) |
| ✓ | 56.4% | (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
| ✓ | 56.3% | (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) |
| ✓ | 56.4% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 5.6% | (sqrt.f64 #s(literal 2 binary64)) | |
| 20.3% | x | |
| 5.6% | #s(literal 2 binary64) |
Compiled 188 to 115 computations (38.8% saved)
| Inputs |
|---|
#s(literal 2 binary64) |
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x #s(literal 2 binary64)) |
(sqrt.f64 #s(literal 2 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)) |
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #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))))) |
(sqrt.f64 (*.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)) (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 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x) |
(*.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))) (sqrt.f64 x)) |
3 calls:
| 5.0ms | x |
| 5.0ms | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 5.0ms | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 1 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 99.4% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
#s(literal 2 binary64) |
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x #s(literal 2 binary64)) |
(sqrt.f64 #s(literal 2 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:
| 9.0ms | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 3.0ms | x |
| 3.0ms | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 1 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 99.2% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
#s(literal 2 binary64) |
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x #s(literal 2 binary64)) |
(sqrt.f64 #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 x #s(literal 2 binary64)) |
3 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| 2.0ms | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 20.7% | 1 | x |
| 20.7% | 1 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 20.7% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
#s(literal 2 binary64) |
x |
(*.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
x |
3 calls:
| 3.0ms | (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 |
|---|---|---|
| 20.3% | 1 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 20.3% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| 20.3% | 1 | x |
Compiled 12 to 10 computations (16.7% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(literal 2 binary64) |
| Outputs |
|---|
#s(literal 2 binary64) |
3 calls:
| 1.0ms | x |
| 1.0ms | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 1.0ms | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.6% | 1 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 5.6% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| 5.6% | 1 | x |
Compiled 12 to 10 computations (16.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 16 |
| 1 | 11 | 16 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.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) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
x |
#s(literal 2 binary64) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 73 |
| 0 | 33 | 63 |
| 1 | 75 | 56 |
| 2 | 195 | 46 |
| 3 | 670 | 37 |
| 4 | 4950 | 37 |
| 0 | 8167 | 37 |
| 0 | 10 | 35 |
| 0 | 17 | 23 |
| 1 | 33 | 21 |
| 2 | 93 | 21 |
| 3 | 333 | 21 |
| 4 | 1706 | 9 |
| 0 | 10762 | 9 |
| 0 | 20 | 88 |
| 0 | 36 | 86 |
| 1 | 77 | 62 |
| 2 | 202 | 61 |
| 3 | 771 | 58 |
| 4 | 6150 | 58 |
| 0 | 8176 | 58 |
| 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× | 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 82 to 54 computations (34.1% saved)
Compiled 86 to 62 computations (27.9% saved)
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