sqrt B (should all be same)
Time bar (total: 2.3s)
| 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)
| 485.0ms | 8 256× | 0 | valid |
ival-mult: 270.0ms (80.2% of total)ival-sqrt: 55.0ms (16.3% of total)ival-true: 5.0ms (1.5% of total)exact: 4.0ms (1.2% of total)ival-assert: 3.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 138 | 0 | - | 4 | (-4.199406377893121e-158) | (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 | 73 | 0 |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) x) x) | underflow | 73 | |
sqrt.f64 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) | oflow-rescue | 61 | 0 |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) x) x) | overflow | 61 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 134 | 4 |
| - | 0 | 118 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 134 | 0 | 4 |
| - | 0 | 0 | 118 |
| number | freq |
|---|---|
| 0 | 122 |
| 1 | 134 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 28.0ms | 512× | 0 | valid |
Compiled 42 to 19 computations (54.8% saved)
ival-mult: 13.0ms (73.6% of total)ival-sqrt: 4.0ms (22.6% 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 | 18 | 13 |
| 2 | 49 | 13 |
| 3 | 102 | 13 |
| 4 | 147 | 13 |
| 5 | 235 | 13 |
| 6 | 255 | 13 |
| 7 | 275 | 13 |
| 0 | 5 | 6 |
| 0 | 8 | 6 |
| 1 | 15 | 6 |
| 2 | 23 | 6 |
| 3 | 54 | 6 |
| 4 | 120 | 6 |
| 5 | 184 | 6 |
| 6 | 220 | 6 |
| 7 | 240 | 6 |
| 8 | 260 | 6 |
| 0 | 260 | 3 |
| 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)) |
(hypot.f64 x x) |
(abs x)
Compiled 6 to 5 computations (16.7% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.6% | (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 | 3 | (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 | 15 | 16 |
| 2 | 23 | 16 |
| 3 | 54 | 16 |
| 4 | 120 | 16 |
| 5 | 184 | 16 |
| 6 | 220 | 16 |
| 7 | 240 | 16 |
| 8 | 260 | 16 |
| 0 | 260 | 13 |
| 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)) |
(hypot.f64 x 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 | 0.0 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) x) | |
| accuracy | 31.58678972424293 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 10.0ms | 256× | 0 | valid |
Compiled 18 to 7 computations (61.1% saved)
ival-mult: 3.0ms (60% of total)ival-sqrt: 2.0ms (40% 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 | |
|---|---|---|---|---|
| 655.0ms | 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 | 21 | 17 |
| 2 | 42 | 17 |
| 3 | 90 | 17 |
| 4 | 228 | 17 |
| 5 | 439 | 17 |
| 6 | 502 | 17 |
| 0 | 502 | 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 #s(literal 2 binary64) x) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* -1 (* x (sqrt 2))) |
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 14 |
| 0 | 8 | 12 |
| 1 | 20 | 12 |
| 2 | 57 | 10 |
| 0 | 280 | 9 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 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 (neg.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (hypot.f64 x x) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (hypot.f64 x x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(sqrt.f64 (*.f64 x #s(literal 2 binary64))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) |
(hypot.f64 (neg.f64 (neg.f64 x)) (fabs.f64 x)) |
(hypot.f64 (neg.f64 (neg.f64 x)) x) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)) |
(hypot.f64 (neg.f64 (fabs.f64 x)) x) |
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (neg.f64 x) (neg.f64 x)) |
(hypot.f64 (neg.f64 x) (fabs.f64 x)) |
(hypot.f64 (neg.f64 x) x) |
(hypot.f64 (fabs.f64 x) (neg.f64 (neg.f64 x))) |
(hypot.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (fabs.f64 x) (neg.f64 x)) |
(hypot.f64 (fabs.f64 x) (fabs.f64 x)) |
(hypot.f64 (fabs.f64 x) x) |
(hypot.f64 x (neg.f64 (neg.f64 x))) |
(hypot.f64 x (neg.f64 (fabs.f64 x))) |
(hypot.f64 x (neg.f64 x)) |
(hypot.f64 x (fabs.f64 x)) |
(hypot.f64 x x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2 binary64))) |
(*.f64 (neg.f64 x) (+.f64 (neg.f64 x) (neg.f64 x))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 2 binary64))) |
(*.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (fabs.f64 x))) |
(*.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 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
(*.f64 #s(literal 2 binary64) x) |
(/.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 0 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 x x)) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 x x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x)) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 x x)) |
(fma.f64 x x (*.f64 x x)) |
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64))) |
(-.f64 (*.f64 x x) (*.f64 x (neg.f64 x))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(+.f64 (*.f64 x x) (*.f64 x x)) |
(+.f64 x x) |
(*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2 binary64))) |
(*.f64 (neg.f64 x) (+.f64 (neg.f64 x) (neg.f64 x))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 2 binary64))) |
(*.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (fabs.f64 x))) |
(*.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 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
(*.f64 #s(literal 2 binary64) x) |
(/.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 0 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 x x)) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 x x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x)) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 x x)) |
(fma.f64 x x (*.f64 x x)) |
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64))) |
(-.f64 (*.f64 x x) (*.f64 x (neg.f64 x))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(+.f64 (*.f64 x x) (*.f64 x x)) |
(+.f64 x x) |
Compiled 644 to 172 computations (73.3% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 77 | 3 | 80 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 77 | 4 | 81 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (hypot.f64 x x) |
| ▶ | 6.9% | (sqrt.f64 (+.f64 x x)) |
| ✓ | 50.6% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| ▶ | 99.3% | #s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
Compiled 24 to 19 computations (20.8% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (hypot.f64 x x) | |
| cost-diff | 0 | (+.f64 x x) | |
| cost-diff | 0 | (sqrt.f64 (+.f64 x x)) | |
| cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) | |
| cost-diff | 0 | #s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 31 |
| 0 | 18 | 28 |
| 1 | 31 | 28 |
| 2 | 66 | 28 |
| 3 | 137 | 28 |
| 4 | 214 | 28 |
| 5 | 254 | 28 |
| 6 | 279 | 28 |
| 7 | 299 | 28 |
| 0 | 299 | 28 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
(sqrt.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
(hypot.f64 x x) |
x |
| Outputs |
|---|
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
(sqrt.f64 (+.f64 x x)) |
(sqrt.f64 (*.f64 x #s(literal 2 binary64))) |
(+.f64 x x) |
(*.f64 x #s(literal 2 binary64)) |
x |
(hypot.f64 x x) |
x |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03125 | (hypot.f64 x x) | |
| accuracy | 0.0 | (+.f64 x x) | |
| accuracy | 0.0 | (sqrt.f64 (+.f64 x x)) | |
| accuracy | 0.0 | (sqrt.f64 #s(literal 2 binary64)) | |
| accuracy | 0.0 | #s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) | |
| accuracy | 0.43359375 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| 30.0ms | 256× | 0 | valid |
Compiled 33 to 12 computations (63.6% saved)
ival-sqrt: 8.0ms (45.3% of total)ival-mult: 5.0ms (28.3% of total)ival-hypot: 4.0ms (22.7% of total)ival-add: 1.0ms (5.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
(sqrt.f64 (+.f64 x x)) |
(+.f64 x x) |
(hypot.f64 x x) |
| Outputs |
|---|
(* x (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* 2 x) |
(* -1 (* x (sqrt 2))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((sqrt (* (* 2 x) x)) (* (sqrt 2) x) (sqrt 2) (sqrt (+ x x)) (+ x x) (sqrt (+ (* x x) (* x x)))) |
| 1.0ms | x | @ | inf | ((sqrt (* (* 2 x) x)) (* (sqrt 2) x) (sqrt 2) (sqrt (+ x x)) (+ x x) (sqrt (+ (* x x) (* x x)))) |
| 1.0ms | x | @ | 0 | ((sqrt (* (* 2 x) x)) (* (sqrt 2) x) (sqrt 2) (sqrt (+ x x)) (+ x x) (sqrt (+ (* x x) (* x x)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 26 |
| 1 | 33 | 26 |
| 2 | 78 | 26 |
| 3 | 130 | 26 |
| 4 | 137 | 26 |
| 0 | 137 | 26 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* 2 x) |
(* -1 (* x (sqrt 2))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
| 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 x #s(literal 2 binary64)) |
(* -1 (* x (sqrt 2))) |
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 27 |
| 0 | 18 | 25 |
| 1 | 55 | 23 |
| 0 | 341 | 23 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
(sqrt.f64 (+.f64 x x)) |
(+.f64 x x) |
(hypot.f64 x x) |
| Outputs |
|---|
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 x) (hypot.f64 x x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (hypot.f64 x x) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)) |
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(sqrt.f64 (*.f64 x #s(literal 2 binary64))) |
(hypot.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 x #s(literal 1 binary64)) (neg.f64 (neg.f64 x))) |
(hypot.f64 (pow.f64 x #s(literal 1 binary64)) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (pow.f64 x #s(literal 1 binary64)) (fabs.f64 (fabs.f64 x))) |
(hypot.f64 (pow.f64 x #s(literal 1 binary64)) (neg.f64 x)) |
(hypot.f64 (pow.f64 x #s(literal 1 binary64)) (fabs.f64 x)) |
(hypot.f64 (pow.f64 x #s(literal 1 binary64)) x) |
(hypot.f64 (neg.f64 (neg.f64 x)) (pow.f64 x #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (fabs.f64 (fabs.f64 x))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) |
(hypot.f64 (neg.f64 (neg.f64 x)) (fabs.f64 x)) |
(hypot.f64 (neg.f64 (neg.f64 x)) x) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (pow.f64 x #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)) |
(hypot.f64 (neg.f64 (fabs.f64 x)) x) |
(hypot.f64 (fabs.f64 (fabs.f64 x)) (pow.f64 x #s(literal 1 binary64))) |
(hypot.f64 (fabs.f64 (fabs.f64 x)) (neg.f64 (neg.f64 x))) |
(hypot.f64 (fabs.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(hypot.f64 (fabs.f64 (fabs.f64 x)) (neg.f64 x)) |
(hypot.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 x)) |
(hypot.f64 (fabs.f64 (fabs.f64 x)) x) |
(hypot.f64 (neg.f64 x) (pow.f64 x #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (neg.f64 x) (fabs.f64 (fabs.f64 x))) |
(hypot.f64 (neg.f64 x) (neg.f64 x)) |
(hypot.f64 (neg.f64 x) (fabs.f64 x)) |
(hypot.f64 (neg.f64 x) x) |
(hypot.f64 (fabs.f64 x) (pow.f64 x #s(literal 1 binary64))) |
(hypot.f64 (fabs.f64 x) (neg.f64 (neg.f64 x))) |
(hypot.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (fabs.f64 x) (fabs.f64 (fabs.f64 x))) |
(hypot.f64 (fabs.f64 x) (neg.f64 x)) |
(hypot.f64 (fabs.f64 x) (fabs.f64 x)) |
(hypot.f64 (fabs.f64 x) x) |
(hypot.f64 x (pow.f64 x #s(literal 1 binary64))) |
(hypot.f64 x (neg.f64 (neg.f64 x))) |
(hypot.f64 x (neg.f64 (fabs.f64 x))) |
(hypot.f64 x (fabs.f64 (fabs.f64 x))) |
(hypot.f64 x (neg.f64 x)) |
(hypot.f64 x (fabs.f64 x)) |
(hypot.f64 x x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (+.f64 (neg.f64 x) (neg.f64 x))) |
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) x)) |
(*.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (fabs.f64 x))) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 x (-.f64 x (neg.f64 x))) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
(*.f64 #s(literal 2 binary64) x) |
(/.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 x x)) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 x x)) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 x x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x)) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 x x)) |
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 x x (*.f64 x x)) |
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(+.f64 (*.f64 x x) (*.f64 x x)) |
(+.f64 x x) |
(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 x) (hypot.f64 x x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (hypot.f64 x x) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)) |
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(sqrt.f64 (*.f64 x #s(literal 2 binary64))) |
(hypot.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 x #s(literal 1 binary64)) (neg.f64 (neg.f64 x))) |
(hypot.f64 (pow.f64 x #s(literal 1 binary64)) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (pow.f64 x #s(literal 1 binary64)) (fabs.f64 (fabs.f64 x))) |
(hypot.f64 (pow.f64 x #s(literal 1 binary64)) (neg.f64 x)) |
(hypot.f64 (pow.f64 x #s(literal 1 binary64)) (fabs.f64 x)) |
(hypot.f64 (pow.f64 x #s(literal 1 binary64)) x) |
(hypot.f64 (neg.f64 (neg.f64 x)) (pow.f64 x #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (fabs.f64 (fabs.f64 x))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) |
(hypot.f64 (neg.f64 (neg.f64 x)) (fabs.f64 x)) |
(hypot.f64 (neg.f64 (neg.f64 x)) x) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (pow.f64 x #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)) |
(hypot.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)) |
(hypot.f64 (neg.f64 (fabs.f64 x)) x) |
(hypot.f64 (fabs.f64 (fabs.f64 x)) (pow.f64 x #s(literal 1 binary64))) |
(hypot.f64 (fabs.f64 (fabs.f64 x)) (neg.f64 (neg.f64 x))) |
(hypot.f64 (fabs.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(hypot.f64 (fabs.f64 (fabs.f64 x)) (neg.f64 x)) |
(hypot.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 x)) |
(hypot.f64 (fabs.f64 (fabs.f64 x)) x) |
(hypot.f64 (neg.f64 x) (pow.f64 x #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (neg.f64 x) (fabs.f64 (fabs.f64 x))) |
(hypot.f64 (neg.f64 x) (neg.f64 x)) |
(hypot.f64 (neg.f64 x) (fabs.f64 x)) |
(hypot.f64 (neg.f64 x) x) |
(hypot.f64 (fabs.f64 x) (pow.f64 x #s(literal 1 binary64))) |
(hypot.f64 (fabs.f64 x) (neg.f64 (neg.f64 x))) |
(hypot.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x))) |
(hypot.f64 (fabs.f64 x) (fabs.f64 (fabs.f64 x))) |
(hypot.f64 (fabs.f64 x) (neg.f64 x)) |
(hypot.f64 (fabs.f64 x) (fabs.f64 x)) |
(hypot.f64 (fabs.f64 x) x) |
(hypot.f64 x (pow.f64 x #s(literal 1 binary64))) |
(hypot.f64 x (neg.f64 (neg.f64 x))) |
(hypot.f64 x (neg.f64 (fabs.f64 x))) |
(hypot.f64 x (fabs.f64 (fabs.f64 x))) |
(hypot.f64 x (neg.f64 x)) |
(hypot.f64 x (fabs.f64 x)) |
(hypot.f64 x x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
Compiled 971 to 246 computations (74.7% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 117 | 1 | 118 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 1 | 1 |
| Total | 117 | 5 | 122 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (hypot.f64 x x) |
| ✓ | 6.9% | (sqrt.f64 (+.f64 x x)) |
| ✓ | 50.6% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| ✓ | 99.3% | #s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
| ▶ | 99.0% | #s(approx (sqrt (* (* 2 x) x)) (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) x)) |
Compiled 38 to 31 computations (18.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) x) | |
| cost-diff | 0 | #s(approx (sqrt (* (* 2 x) x)) (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) x)) | |
| cost-diff | 3 | (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 35 |
| 0 | 15 | 29 |
| 1 | 30 | 26 |
| 2 | 58 | 26 |
| 3 | 142 | 26 |
| 4 | 438 | 26 |
| 5 | 2462 | 26 |
| 0 | 9527 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) x)) |
(*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) x) |
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
x |
| Outputs |
|---|
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) x)) |
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) x) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
(*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
x |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (log.f64 #s(literal 2 binary64)) | |
| accuracy | 0.0 | #s(approx (sqrt (* (* 2 x) x)) (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) x)) | |
| accuracy | 0.43359375 | (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) x) | |
| accuracy | 1.0 | (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
| 21.0ms | 256× | 0 | valid |
Compiled 29 to 12 computations (58.6% saved)
ival-mult: 6.0ms (40.5% of total)ival-log: 4.0ms (27% of total)ival-exp: 2.0ms (13.5% of total)ival-sqrt: 2.0ms (13.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) x)) |
(*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) x) |
(*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(log.f64 #s(literal 2 binary64)) |
| Outputs |
|---|
(* x (sqrt 2)) |
(* -1 (* x (sqrt 2))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | ((exp (* (log 2) 1/2)) (sqrt (* (* 2 x) x)) (* (exp (* (log 2) 1/2)) x) (* (log 2) 1/2) (log 2)) |
| 0.0ms | x | @ | 0 | ((exp (* (log 2) 1/2)) (sqrt (* (* 2 x) x)) (* (exp (* (log 2) 1/2)) x) (* (log 2) 1/2) (log 2)) |
| 0.0ms | x | @ | inf | ((exp (* (log 2) 1/2)) (sqrt (* (* 2 x) x)) (* (exp (* (log 2) 1/2)) x) (* (log 2) 1/2) (log 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 13 | 9 |
| 2 | 27 | 9 |
| 3 | 28 | 9 |
| 0 | 28 | 9 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (sqrt 2)) |
(* -1 (* x (sqrt 2))) |
| Outputs |
|---|
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* -1 (* x (sqrt 2))) |
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 32 |
| 0 | 15 | 26 |
| 1 | 34 | 22 |
| 2 | 108 | 20 |
| 0 | 650 | 19 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) x)) |
(*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) x) |
(*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(log.f64 #s(literal 2 binary64)) |
| Outputs |
|---|
(*.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 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))) (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))))) #s(literal 4 binary64)) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))) (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 #s(literal 2 binary64)) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 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 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))) (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))) (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))))) |
(+.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (sqrt (* (* 2 x) x)) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) x) (fma.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))) (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))) (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) x) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) x)) (*.f64 (*.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) x) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) x))) (-.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) x) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) x) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) x) (-.f64 (*.f64 (*.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) x) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) x)) (*.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) x) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) x))))) |
(fma.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) x (*.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) x)) |
(fma.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) x (*.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) x)) |
(fma.f64 x (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) x)) |
(fma.f64 x (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) x)) |
(-.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) x) (*.f64 (neg.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))) x)) |
(-.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) x) (*.f64 (neg.f64 x) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) x) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) x)) |
(+.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) x) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) x)) |
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 1/2 binary64)))) |
(*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(-.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)))) (log.f64 (fma.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))) (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)))) |
(+.f64 (log.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (log.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(log.f64 (sqrt.f64 #s(literal 2 binary64))) |
(log.f64 #s(literal 2 binary64)) |
Compiled 1 224 to 214 computations (82.5% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 53 | 1 | 54 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 4 | 4 |
| Total | 54 | 5 | 59 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (hypot.f64 x x) |
| ✓ | 6.9% | (sqrt.f64 (+.f64 x x)) |
| ✓ | 50.6% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| ▶ | 99.0% | #s(approx (sqrt (* (* 2 x) x)) (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)) |
| ✓ | 99.3% | #s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
Compiled 38 to 30 computations (21.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | #s(approx (sqrt (* (* 2 x) x)) (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)) | |
| cost-diff | 3 | (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 32 |
| 0 | 13 | 32 |
| 1 | 22 | 26 |
| 2 | 41 | 23 |
| 3 | 96 | 23 |
| 4 | 201 | 23 |
| 5 | 312 | 23 |
| 6 | 351 | 23 |
| 7 | 374 | 23 |
| 8 | 394 | 23 |
| 0 | 394 | 20 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)) |
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) |
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) |
#s(literal 2 binary64) |
#s(literal 1/4 binary64) |
x |
| Outputs |
|---|
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)) |
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(sqrt.f64 #s(literal 2 binary64)) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) |
#s(literal 2 binary64) |
#s(literal 1/4 binary64) |
x |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) | |
| accuracy | 0.0 | #s(approx (sqrt (* (* 2 x) x)) (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)) | |
| accuracy | 0.43359375 | (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) | |
| accuracy | 1.0 | (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
| 18.0ms | 256× | 0 | valid |
Compiled 26 to 11 computations (57.7% saved)
ival-mult: 4.0ms (32.1% of total)ival-pow: 3.0ms (24.1% of total)ival-sqrt: 2.0ms (16.1% of total)ival-pow2: 2.0ms (16.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)) |
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) |
| Outputs |
|---|
(* x (sqrt 2)) |
(* -1 (* x (sqrt 2))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | ((pow (pow 2 1/4) 2) (sqrt (* (* 2 x) x)) (* (pow (pow 2 1/4) 2) x) (pow 2 1/4)) |
| 0.0ms | x | @ | 0 | ((pow (pow 2 1/4) 2) (sqrt (* (* 2 x) x)) (* (pow (pow 2 1/4) 2) x) (pow 2 1/4)) |
| 0.0ms | x | @ | inf | ((pow (pow 2 1/4) 2) (sqrt (* (* 2 x) x)) (* (pow (pow 2 1/4) 2) x) (pow 2 1/4)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 13 | 9 |
| 2 | 27 | 9 |
| 3 | 28 | 9 |
| 0 | 28 | 9 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (sqrt 2)) |
(* -1 (* x (sqrt 2))) |
| Outputs |
|---|
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* -1 (* x (sqrt 2))) |
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 29 |
| 0 | 13 | 23 |
| 1 | 42 | 20 |
| 2 | 142 | 18 |
| 0 | 751 | 17 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)) |
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)))) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)))) |
(*.f64 (pow.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) #s(literal 1 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 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)))) |
(*.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) (*.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) |
(*.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (pow.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) #s(literal 1 binary64))) |
(*.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))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) |
(pow.f64 (neg.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 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) #s(literal 4 binary64)) |
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 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)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))))) (-.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))))))) |
(neg.f64 (*.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) |
(neg.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))) |
(fma.f64 (cosh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) |
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (cosh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sinh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cosh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(sqrt.f64 #s(literal 2 binary64)) |
(fabs.f64 (sqrt.f64 #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (*.f64 (sinh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 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)) (cosh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sinh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))) |
(+.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (sqrt (* (* 2 x) x)) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)))) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)))) |
(*.f64 (*.f64 (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) |
(*.f64 (*.f64 x (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) |
(*.f64 (*.f64 x (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) |
(*.f64 (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) x)) |
(*.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) (*.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))) |
(*.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (*.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) x)) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) x)) |
(*.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 x (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) |
(fma.f64 (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (cosh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (sinh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))) |
(fma.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) x (*.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) x)) |
(fma.f64 (cosh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (*.f64 (sinh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))) |
(fma.f64 x (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))) |
(+.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) x) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) x)) |
(+.f64 (*.f64 (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (cosh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (*.f64 (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (sinh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))) |
(+.f64 (*.f64 x (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 x (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)))) (neg.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)))) |
(*.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 #s(literal 2 binary64))) |
(pow.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) #s(literal 2 binary64)) |
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 1 binary64)) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cosh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))) (-.f64 (cosh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cosh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))))) |
(neg.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) |
(sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) |
(fabs.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(+.f64 (sinh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cosh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))) |
Compiled 1 644 to 334 computations (79.7% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 83 | 1 | 84 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 4 | 4 |
| Total | 84 | 5 | 89 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (hypot.f64 x x) |
| ✓ | 6.9% | (sqrt.f64 (+.f64 x x)) |
| ✓ | 50.6% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 99.0% | #s(approx (sqrt (* (* 2 x) x)) (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) x)) | |
| ✓ | 99.3% | #s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
Compiled 104 to 60 computations (42.3% saved)
| Inputs |
|---|
(sqrt.f64 (+.f64 x x)) |
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(hypot.f64 x x) |
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) x)) |
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)) |
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) x)) |
| Outputs |
|---|
(hypot.f64 x x) |
3 calls:
| 5.0ms | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 4.0ms | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| 100.0% | 1 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 100.0% | 1 | x |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
(sqrt.f64 (+.f64 x x)) |
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| Outputs |
|---|
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
3 calls:
| 2.0ms | 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 |
|---|---|---|
| 99.3% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| 99.3% | 1 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 99.3% | 1 | x |
Compiled 12 to 10 computations (16.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(sqrt.f64 (+.f64 x x)) |
| Outputs |
|---|
(sqrt.f64 (+.f64 x x)) |
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 |
|---|---|---|
| 6.9% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| 6.9% | 1 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 6.9% | 1 | x |
Compiled 12 to 10 computations (16.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 18 |
| 1 | 18 | 18 |
| 2 | 26 | 18 |
| 3 | 60 | 18 |
| 4 | 137 | 18 |
| 5 | 223 | 18 |
| 6 | 421 | 18 |
| 7 | 2077 | 18 |
| 8 | 3749 | 18 |
| 1× | node limit |
| Inputs |
|---|
(hypot.f64 x x) |
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(sqrt.f64 (+.f64 x x)) |
| Outputs |
|---|
(hypot.f64 x x) |
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(sqrt.f64 (+.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 21 | 17 |
| 2 | 42 | 17 |
| 3 | 90 | 17 |
| 4 | 228 | 17 |
| 5 | 439 | 17 |
| 6 | 502 | 17 |
| 0 | 502 | 17 |
| 0 | 5 | 14 |
| 0 | 8 | 12 |
| 1 | 20 | 12 |
| 2 | 57 | 10 |
| 0 | 280 | 9 |
| 1× | fuel |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| 1× | iter limit |
| 1× | saturated |
Compiled 18 to 12 computations (33.3% saved)
(abs x)
Compiled 54 to 38 computations (29.6% saved)
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