
Time bar (total: 5.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 2 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 3 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 4 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 5 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 6 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 7 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 8 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 9 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 10 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 11 |
| 100% | 99.9% | 0% | 0% | 0% | 0% | 0% | 12 |
Compiled 7 to 6 computations (14.3% saved)
| 299.0ms | 8 256× | 0 | valid |
ival-mult: 88.0ms (55.7% of total)ival-div: 57.0ms (36.1% of total)ival-true: 5.0ms (3.2% of total)exact: 5.0ms (3.2% of total)ival-assert: 3.0ms (1.9% of total)| 2× | egg-herbie |
| 28× | associate-/r* |
| 26× | unsub-neg |
| 26× | div-sub |
| 22× | distribute-lft-neg-in |
| 20× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 27 | 15 |
| 2 | 70 | 15 |
| 3 | 134 | 15 |
| 4 | 182 | 15 |
| 5 | 220 | 15 |
| 6 | 232 | 15 |
| 0 | 4 | 5 |
| 1 | 8 | 5 |
| 0 | 8 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(/ 1 (* x x)) |
| Outputs |
|---|
(/ 1 (* x x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| Inputs |
|---|
(/ 1 (* x x)) |
(/ 1 (* (neg x) (neg x))) |
(neg (/ 1 (* (neg x) (neg x)))) |
| Outputs |
|---|
(/ 1 (* x x)) |
(/ (/ 1 x) x) |
(/ 1 (* (neg x) (neg x))) |
(/ (/ 1 x) x) |
(neg (/ 1 (* (neg x) (neg x)))) |
(/ (/ -1 x) x) |
(abs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 3 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) | n/o | 3 | 0 |
| ↳ | (*.f64 x x) | overflow | 67 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 3 | 0 |
| - | 0 | 253 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 3 | 0 | 0 |
| - | 0 | 0 | 253 |
| number | freq |
|---|---|
| 0 | 253 |
| 1 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 19.0ms | 512× | 0 | valid |
Compiled 36 to 20 computations (44.4% saved)
ival-mult: 4.0ms (45.5% of total)ival-div: 3.0ms (34.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.3% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
Compiled 6 to 4 computations (33.3% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 6× | /-lowering-/.f32 |
| 6× | /-lowering-/.f64 |
| 2× | 1-exp |
| 2× | *-lowering-*.f32 |
| 2× | *-lowering-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 10 |
| 1 | 8 | 10 |
| 0 | 8 | 10 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ 1 (* x x)) |
1 |
(* x x) |
x |
| Outputs |
|---|
(/ 1 (* x x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(* x x) |
(*.f64 x x) |
x |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 179.0ms | 256× | 0 | valid |
Compiled 12 to 6 computations (50% saved)
ival-mult: 172.0ms (98.7% of total)ival-div: 2.0ms (1.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (* x x))> |
#<alt (* x x)> |
| Outputs |
|---|
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/ 1 (* x x)) |
| 0.0ms | x | @ | inf | (/ 1 (* x x)) |
| 0.0ms | x | @ | -inf | (/ 1 (* x x)) |
| 0.0ms | x | @ | 0 | (* x x) |
| 0.0ms | x | @ | inf | (* x x) |
| 1× | batch-egg-rewrite |
| 426× | *-lowering-*.f32 |
| 426× | *-lowering-*.f64 |
| 306× | /-lowering-/.f32 |
| 306× | /-lowering-/.f64 |
| 242× | accelerator-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 8 |
| 1 | 18 | 6 |
| 2 | 70 | 6 |
| 3 | 256 | 6 |
| 0 | 1087 | 6 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* x x)) |
(* x x) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64))) |
(exp.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (log.f64 x))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(pow.f64 x #s(literal -2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 x x))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) |
(+.f64 (*.f64 x x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 x x)) |
(exp.f64 (log.f64 (*.f64 x x))) |
(exp.f64 (-.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 x)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 (*.f64 x x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 0 binary64)) |
(fma.f64 x x #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) #s(literal 0 binary64)) |
(neg.f64 (neg.f64 (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 x (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x x))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 (*.f64 x x)))) (exp.f64 (log.f64 #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) |
(/.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (*.f64 x x)) #s(literal 3 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 x x)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))) |
(*.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)) |
| 1× | egg-herbie |
| 6× | /-lowering-/.f32 |
| 6× | /-lowering-/.f64 |
| 2× | pow-lowering-pow.f64 |
| 2× | pow-lowering-pow.f32 |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 96 |
| 1 | 8 | 96 |
| 2 | 10 | 96 |
| 0 | 10 | 96 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
Compiled 1 284 to 259 computations (79.8% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 127 | 7 | 134 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 127 | 8 | 135 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (pow.f64 x #s(literal -2 binary64)) |
| ▶ | 99.6% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) |
| ▶ | 99.8% | (/.f64 (/.f64 #s(literal 1 binary64) x) x) |
| ▶ | 23.9% | (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x x)))) |
| ✓ | 99.3% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 99.6% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) | |
| 15.4% | (*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| ▶ | 23.9% | (*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) |
Compiled 178 to 96 computations (46.1% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) |
| ✓ | cost-diff | 1984 | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x x)))) |
| ✓ | cost-diff | 1920 | (/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) |
| ✓ | cost-diff | 1280 | (*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) x) x) |
| ✓ | cost-diff | 0 | (pow.f64 x #s(literal -2 binary64)) |
| 4 460× | *-lowering-*.f32 |
| 4 460× | *-lowering-*.f64 |
| 1 578× | /-lowering-/.f32 |
| 1 578× | /-lowering-/.f64 |
| 1 568× | accelerator-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 96 |
| 1 | 53 | 85 |
| 2 | 238 | 85 |
| 3 | 1367 | 85 |
| 4 | 2986 | 85 |
| 5 | 5239 | 85 |
| 6 | 7996 | 85 |
| 0 | 8135 | 85 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x -2) |
x |
-2 |
(/ (/ 1 x) x) |
(/ 1 x) |
1 |
x |
(* (/ -1 (neg (* x (* x (* x x))))) (* x x)) |
(/ -1 (neg (* x (* x (* x x))))) |
-1 |
(neg (* x (* x (* x x)))) |
(* x (* x (* x x))) |
x |
(* x (* x x)) |
(* x x) |
(/ 1 (/ (neg (* x (* x (* x x)))) (neg (* x x)))) |
1 |
(/ (neg (* x (* x (* x x)))) (neg (* x x))) |
(neg (* x (* x (* x x)))) |
(* x (* x (* x x))) |
x |
(* x (* x x)) |
(* x x) |
(neg (* x x)) |
(/ (/ (/ 1 x) (sqrt x)) (sqrt x)) |
(/ (/ 1 x) (sqrt x)) |
(/ 1 x) |
1 |
x |
(sqrt x) |
| Outputs |
|---|
(pow x -2) |
(pow.f64 x #s(literal -2 binary64)) |
x |
-2 |
#s(literal -2 binary64) |
(/ (/ 1 x) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(* (/ -1 (neg (* x (* x (* x x))))) (* x x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ -1 (neg (* x (* x (* x x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
-1 |
#s(literal -1 binary64) |
(neg (* x (* x (* x x)))) |
(*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))) |
(* x (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
x |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(/ 1 (/ (neg (* x (* x (* x x)))) (neg (* x x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(/ (neg (* x (* x (* x x)))) (neg (* x x))) |
(*.f64 x x) |
(neg (* x (* x (* x x)))) |
(*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))) |
(* x (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
x |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(neg (* x x)) |
(*.f64 x (neg.f64 x)) |
(/ (/ (/ 1 x) (sqrt x)) (sqrt x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (/ 1 x) (sqrt x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(sqrt x) |
(sqrt.f64 x) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) |
| ✓ | accuracy | 99.7% | (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x x)))) |
| ✓ | accuracy | 29.2% | (/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) |
| ✓ | accuracy | 30.5% | (*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 #s(literal 1 binary64) x) x) |
| ✓ | accuracy | 100.0% | (pow.f64 x #s(literal -2 binary64)) |
| 44.0ms | 256× | 0 | valid |
Compiled 145 to 21 computations (85.5% saved)
ival-div: 11.0ms (45.3% of total)ival-mult: 6.0ms (24.7% of total)ival-pow: 3.0ms (12.4% of total)ival-sqrt: 2.0ms (8.2% of total)ival-neg: 2.0ms (8.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (pow x -2)> |
#<alt (/ (/ 1 x) x)> |
#<alt (/ 1 x)> |
#<alt (* (/ -1 (neg (* x (* x (* x x))))) (* x x))> |
#<alt (/ -1 (neg (* x (* x (* x x)))))> |
#<alt (neg (* x (* x (* x x))))> |
#<alt (* x (* x (* x x)))> |
#<alt (/ (neg (* x (* x (* x x)))) (neg (* x x)))> |
#<alt (/ 1 (/ (neg (* x (* x (* x x)))) (neg (* x x))))> |
#<alt (/ (/ (/ 1 x) (sqrt x)) (sqrt x))> |
#<alt (/ (/ 1 x) (sqrt x))> |
#<alt (sqrt x)> |
#<alt (* x (* x x))> |
| Outputs |
|---|
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (* -1 (pow x 4))> |
#<alt (* -1 (pow x 4))> |
#<alt (* -1 (pow x 4))> |
#<alt (* -1 (pow x 4))> |
#<alt (* -1 (pow x 4))> |
#<alt (* -1 (pow x 4))> |
#<alt (* -1 (pow x 4))> |
#<alt (* -1 (pow x 4))> |
#<alt (* -1 (pow x 4))> |
#<alt (* -1 (pow x 4))> |
#<alt (* -1 (pow x 4))> |
#<alt (* -1 (pow x 4))> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))> |
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))> |
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))> |
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ (/ 1 x) (sqrt x)) |
| 1.0ms | x | @ | -inf | (/ (/ (/ 1 x) (sqrt x)) (sqrt x)) |
| 1.0ms | x | @ | 0 | (/ (/ 1 x) (sqrt x)) |
| 0.0ms | x | @ | 0 | (/ -1 (neg (* x (* x (* x x))))) |
| 0.0ms | x | @ | -inf | (/ 1 x) |
| 1× | batch-egg-rewrite |
| 1 702× | *-lowering-*.f32 |
| 1 702× | *-lowering-*.f64 |
| 1 660× | /-lowering-/.f32 |
| 1 660× | /-lowering-/.f64 |
| 1 066× | frac-times |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 59 |
| 1 | 100 | 45 |
| 2 | 601 | 39 |
| 0 | 4287 | 39 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x -2) |
(/ (/ 1 x) x) |
(/ 1 x) |
(* (/ -1 (neg (* x (* x (* x x))))) (* x x)) |
(/ -1 (neg (* x (* x (* x x))))) |
(neg (* x (* x (* x x)))) |
(* x (* x (* x x))) |
(/ (neg (* x (* x (* x x)))) (neg (* x x))) |
(/ 1 (/ (neg (* x (* x (* x x)))) (neg (* x x)))) |
(/ (/ (/ 1 x) (sqrt x)) (sqrt x)) |
(/ (/ 1 x) (sqrt x)) |
(sqrt x) |
(* x (* x x)) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 x)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 x (*.f64 x (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x))) |
(/.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))) (*.f64 x x))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x (neg.f64 x)) (*.f64 x (*.f64 x (*.f64 x (neg.f64 x))))) |
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (sqrt.f64 x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))))) |
(/.f64 (sqrt.f64 x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (neg.f64 x))))) |
(/.f64 (neg.f64 x) (*.f64 x (*.f64 x (neg.f64 x)))) |
(/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))))) |
(/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))))) |
(/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))))) |
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(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal -1 binary64)) (sqrt.f64 x)) |
(/.f64 (/.f64 x (*.f64 x (sqrt.f64 x))) (*.f64 x (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (neg.f64 x)) |
(pow.f64 x #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 x)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 x (pow.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (sqrt.f64 x) (/.f64 (*.f64 x (sqrt.f64 x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) |
(*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (neg.f64 (*.f64 x (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (neg.f64 (*.f64 x (sqrt.f64 x))) (/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (neg.f64 x)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (*.f64 x (*.f64 x (neg.f64 x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x (sqrt.f64 x)))) (neg.f64 (sqrt.f64 x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) x)) x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 x))) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x)))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (sqrt.f64 x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (neg.f64 x)) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) x) |
(pow.f64 x #s(literal -3/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -3/4 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) |
(pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (pow.f64 #s(literal 1 binary64) #s(literal -3/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -3/4 binary64))) |
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(fabs.f64 (sqrt.f64 x)) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 x))) |
(sqrt.f64 x) |
(neg.f64 (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) |
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 #s(literal -1 binary64))) |
(pow.f64 x #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (neg.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x (neg.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x)))) |
(neg.f64 (*.f64 x (*.f64 x (neg.f64 x)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))) (neg.f64 x)) |
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))))) |
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x (*.f64 x (neg.f64 x))) #s(literal -1 binary64)) |
(/.f64 (*.f64 x (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (neg.f64 (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (neg.f64 (*.f64 x (sqrt.f64 x))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (neg.f64 x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (neg.f64 x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 (*.f64 x (sqrt.f64 x)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (sqrt.f64 x)) (sqrt.f64 x)) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 6 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (neg.f64 x)))) |
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 x (neg.f64 x)) (neg.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 x (*.f64 x (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 x (sqrt.f64 x)) x)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (*.f64 x (neg.f64 x))))) |
(*.f64 (neg.f64 x) (*.f64 x (neg.f64 x))) |
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 x) (*.f64 x (sqrt.f64 x)))) |
(*.f64 (*.f64 x (*.f64 x (neg.f64 x))) #s(literal -1 binary64)) |
(*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
(*.f64 (neg.f64 (*.f64 x (sqrt.f64 x))) (neg.f64 (*.f64 x (sqrt.f64 x)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 x (sqrt.f64 x)) x) (sqrt.f64 x)) |
(*.f64 (*.f64 x (neg.f64 (*.f64 x (sqrt.f64 x)))) (neg.f64 (sqrt.f64 x))) |
(*.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x)) |
| 1× | egg-herbie |
| 1 462× | associate-/r* |
| 1 258× | pow-sqr |
| 814× | pow-plus |
| 732× | div-sub |
| 720× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 648 |
| 1 | 38 | 648 |
| 2 | 85 | 648 |
| 3 | 151 | 648 |
| 4 | 290 | 648 |
| 5 | 381 | 648 |
| 6 | 564 | 648 |
| 7 | 1258 | 648 |
| 8 | 1706 | 648 |
| 9 | 2427 | 648 |
| 10 | 2588 | 648 |
| 11 | 2631 | 648 |
| 12 | 2677 | 648 |
| 13 | 2875 | 648 |
| 14 | 3105 | 648 |
| 15 | 3405 | 648 |
| 16 | 3579 | 648 |
| 17 | 3727 | 648 |
| 18 | 3965 | 648 |
| 19 | 4351 | 648 |
| 20 | 4975 | 648 |
| 21 | 4975 | 648 |
| 22 | 6689 | 648 |
| 23 | 6689 | 648 |
| 24 | 6689 | 648 |
| 0 | 6689 | 648 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(* -1 (pow x 4)) |
(* -1 (pow x 4)) |
(* -1 (pow x 4)) |
(* -1 (pow x 4)) |
(* -1 (pow x 4)) |
(* -1 (pow x 4)) |
(* -1 (pow x 4)) |
(* -1 (pow x 4)) |
(* -1 (pow x 4)) |
(* -1 (pow x 4)) |
(* -1 (pow x 4)) |
(* -1 (pow x 4)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ -1 (* (pow x 2) (pow (sqrt -1) 2))) |
(/ -1 (* (pow x 2) (pow (sqrt -1) 2))) |
(/ -1 (* (pow x 2) (pow (sqrt -1) 2))) |
(/ -1 (* (pow x 2) (pow (sqrt -1) 2))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
| Outputs |
|---|
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (pow x 4)) |
(neg.f64 (pow.f64 x #s(literal 4 binary64))) |
(* -1 (pow x 4)) |
(neg.f64 (pow.f64 x #s(literal 4 binary64))) |
(* -1 (pow x 4)) |
(neg.f64 (pow.f64 x #s(literal 4 binary64))) |
(* -1 (pow x 4)) |
(neg.f64 (pow.f64 x #s(literal 4 binary64))) |
(* -1 (pow x 4)) |
(neg.f64 (pow.f64 x #s(literal 4 binary64))) |
(* -1 (pow x 4)) |
(neg.f64 (pow.f64 x #s(literal 4 binary64))) |
(* -1 (pow x 4)) |
(neg.f64 (pow.f64 x #s(literal 4 binary64))) |
(* -1 (pow x 4)) |
(neg.f64 (pow.f64 x #s(literal 4 binary64))) |
(* -1 (pow x 4)) |
(neg.f64 (pow.f64 x #s(literal 4 binary64))) |
(* -1 (pow x 4)) |
(neg.f64 (pow.f64 x #s(literal 4 binary64))) |
(* -1 (pow x 4)) |
(neg.f64 (pow.f64 x #s(literal 4 binary64))) |
(* -1 (pow x 4)) |
(neg.f64 (pow.f64 x #s(literal 4 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ -1 (* (pow x 2) (pow (sqrt -1) 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ -1 (* (pow x 2) (pow (sqrt -1) 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ -1 (* (pow x 2) (pow (sqrt -1) 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ -1 (* (pow x 2) (pow (sqrt -1) 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
Compiled 33 778 to 3 051 computations (91% saved)
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 042 | 9 | 2 051 |
| Fresh | 2 | 0 | 2 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 048 | 11 | 2 059 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (sqrt.f64 x)) |
| ▶ | 83.9% | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 99.8% | (/.f64 (/.f64 #s(literal 1 binary64) x) x) |
| 99.1% | (/.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 x x))) x) | |
| 18.0% | (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) | |
| ▶ | 84.2% | (/.f64 x (*.f64 x (*.f64 x x))) |
| ▶ | 43.9% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x (neg.f64 x))) (*.f64 x x))) |
| ✓ | 99.3% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ▶ | 23.9% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
| 84.0% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) | |
| 84.1% | (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x x)))) |
Compiled 234 to 122 computations (47.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x (neg.f64 x))) (*.f64 x x))) |
| ✓ | cost-diff | 320 | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x (neg.f64 x))) (*.f64 x x)) |
| ✓ | cost-diff | 1792 | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x (neg.f64 x))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 1728 | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 1280 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 320 | (/.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) |
| ✓ | cost-diff | 1984 | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (sqrt.f64 x)) |
| 4 302× | *-lowering-*.f32 |
| 4 302× | *-lowering-*.f64 |
| 2 386× | accelerator-lowering-fma.f32 |
| 2 386× | accelerator-lowering-fma.f64 |
| 1 740× | /-lowering-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 123 |
| 1 | 64 | 119 |
| 2 | 203 | 119 |
| 3 | 805 | 99 |
| 4 | 1939 | 99 |
| 5 | 4153 | 99 |
| 6 | 7941 | 99 |
| 0 | 8026 | 99 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (/ 1 (sqrt x)) x) (sqrt x)) |
(/ (/ 1 (sqrt x)) x) |
(/ 1 (sqrt x)) |
1 |
(sqrt x) |
x |
(/ x (* x (* x x))) |
x |
(* x (* x x)) |
(* x x) |
(* (/ 1 (* x (* x (* x x)))) (* x x)) |
(/ 1 (* x (* x (* x x)))) |
1 |
(* x (* x (* x x))) |
x |
(* x (* x x)) |
(* x x) |
(/ (/ 1 (* x (* x x))) (/ 1 x)) |
(/ 1 (* x (* x x))) |
1 |
(* x (* x x)) |
x |
(* x x) |
(/ 1 x) |
(/ 1 (* (* (/ -1 (* x x)) (* x (neg x))) (* x x))) |
1 |
(* (* (/ -1 (* x x)) (* x (neg x))) (* x x)) |
(* (/ -1 (* x x)) (* x (neg x))) |
(/ -1 (* x x)) |
-1 |
(* x x) |
x |
(* x (neg x)) |
(neg x) |
| Outputs |
|---|
(/ (/ (/ 1 (sqrt x)) x) (sqrt x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (/ 1 (sqrt x)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) |
(/ 1 (sqrt x)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
1 |
#s(literal 1 binary64) |
(sqrt x) |
(sqrt.f64 x) |
x |
(/ x (* x (* x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
x |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(* (/ 1 (* x (* x (* x x)))) (* x x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (* x (* x (* x x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
1 |
#s(literal 1 binary64) |
(* x (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
x |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(/ (/ 1 (* x (* x x))) (/ 1 x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (* x (* x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
x |
(* x x) |
(*.f64 x x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 (* (* (/ -1 (* x x)) (* x (neg x))) (* x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(* (* (/ -1 (* x x)) (* x (neg x))) (* x x)) |
(*.f64 x x) |
(* (/ -1 (* x x)) (* x (neg x))) |
#s(literal 1 binary64) |
(/ -1 (* x x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
-1 |
#s(literal -1 binary64) |
(* x x) |
(*.f64 x x) |
x |
(* x (neg x)) |
(neg.f64 (*.f64 x x)) |
(neg x) |
(neg.f64 x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x (neg.f64 x))) (*.f64 x x))) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal -1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 45.7% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x (neg.f64 x))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 84.9% | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 30.5% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 84.3% | (/.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (sqrt.f64 x)) |
| ✓ | accuracy | 99.7% | (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
| 52.0ms | 256× | 0 | valid |
Compiled 168 to 24 computations (85.7% saved)
ival-mult: 16.0ms (45.2% of total)ival-div: 15.0ms (42.4% of total)ival-sqrt: 2.0ms (5.6% of total)ival-neg: 1.0ms (2.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (/ (/ 1 (sqrt x)) x) (sqrt x))> |
#<alt (/ (/ 1 (sqrt x)) x)> |
#<alt (/ 1 (sqrt x))> |
#<alt (sqrt x)> |
#<alt (/ x (* x (* x x)))> |
#<alt (* x (* x x))> |
#<alt (* x x)> |
#<alt (* (/ 1 (* x (* x (* x x)))) (* x x))> |
#<alt (/ 1 (* x (* x (* x x))))> |
#<alt (* x (* x (* x x)))> |
#<alt (/ (/ 1 (* x (* x x))) (/ 1 x))> |
#<alt (/ 1 (* x (* x x)))> |
#<alt (* (/ -1 (* x x)) (* x (neg x)))> |
#<alt (* (* (/ -1 (* x x)) (* x (neg x))) (* x x))> |
#<alt (/ 1 (* (* (/ -1 (* x x)) (* x (neg x))) (* x x)))> |
#<alt (/ -1 (* x x))> |
#<alt (neg x)> |
| Outputs |
|---|
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))> |
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))> |
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))> |
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (/ -1 (pow x 2))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/ -1 (* x x)) |
| 0.0ms | x | @ | -inf | (/ 1 (* x (* x x))) |
| 0.0ms | x | @ | -inf | (/ 1 (sqrt x)) |
| 0.0ms | x | @ | inf | (/ -1 (* x x)) |
| 0.0ms | x | @ | inf | (* (/ -1 (* x x)) (* x (neg x))) |
| 1× | batch-egg-rewrite |
| 1 680× | *-lowering-*.f32 |
| 1 680× | *-lowering-*.f64 |
| 1 200× | /-lowering-/.f32 |
| 1 200× | /-lowering-/.f64 |
| 920× | accelerator-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 100 |
| 1 | 126 | 50 |
| 2 | 770 | 48 |
| 0 | 3339 | 48 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (/ 1 (sqrt x)) x) (sqrt x)) |
(/ (/ 1 (sqrt x)) x) |
(/ 1 (sqrt x)) |
(sqrt x) |
(/ x (* x (* x x))) |
(* x (* x x)) |
(* x x) |
(* (/ 1 (* x (* x (* x x)))) (* x x)) |
(/ 1 (* x (* x (* x x)))) |
(* x (* x (* x x))) |
(/ (/ 1 (* x (* x x))) (/ 1 x)) |
(/ 1 (* x (* x x))) |
(* (/ -1 (* x x)) (* x (neg x))) |
(* (* (/ -1 (* x x)) (* x (neg x))) (* x x)) |
(/ 1 (* (* (/ -1 (* x x)) (* x (neg x))) (* x x))) |
(/ -1 (* x x)) |
(neg x) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (log.f64 x))))) |
(exp.f64 (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 x)))) |
(exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(exp.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) (log.f64 x))) (*.f64 #s(literal -1 binary64) (log.f64 x)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/.f64 x (*.f64 x (*.f64 x x))) |
(/.f64 (sqrt.f64 x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 x (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (neg.f64 x))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 x x))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 x))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 x x)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x)))) |
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(*.f64 x #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))) |
(*.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (*.f64 x (*.f64 x x)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) |
| 1× | egg-herbie |
| 1 452× | associate-/r* |
| 1 258× | pow-sqr |
| 816× | pow-plus |
| 732× | div-sub |
| 720× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 804 |
| 1 | 39 | 804 |
| 2 | 84 | 804 |
| 3 | 147 | 804 |
| 4 | 282 | 804 |
| 5 | 378 | 804 |
| 6 | 553 | 804 |
| 7 | 1191 | 804 |
| 8 | 1623 | 804 |
| 9 | 2338 | 804 |
| 10 | 2500 | 804 |
| 11 | 2543 | 804 |
| 12 | 2583 | 804 |
| 13 | 2781 | 804 |
| 14 | 3016 | 804 |
| 15 | 3316 | 804 |
| 16 | 3490 | 804 |
| 17 | 3638 | 804 |
| 18 | 3876 | 804 |
| 19 | 4262 | 804 |
| 20 | 4886 | 804 |
| 21 | 4886 | 804 |
| 22 | 6599 | 804 |
| 23 | 6599 | 804 |
| 24 | 6599 | 804 |
| 0 | 6599 | 804 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ -1 (* (pow x 2) (pow (sqrt -1) 2))) |
(/ -1 (* (pow x 2) (pow (sqrt -1) 2))) |
(/ -1 (* (pow x 2) (pow (sqrt -1) 2))) |
(/ -1 (* (pow x 2) (pow (sqrt -1) 2))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ -1 (* (pow x 2) (pow (sqrt -1) 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ -1 (* (pow x 2) (pow (sqrt -1) 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ -1 (* (pow x 2) (pow (sqrt -1) 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ -1 (* (pow x 2) (pow (sqrt -1) 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
Compiled 41 495 to 4 446 computations (89.3% saved)
12 alts after pruning (5 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 492 | 2 | 2 494 |
| Fresh | 1 | 3 | 4 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 2 | 2 |
| Total | 2 493 | 12 | 2 505 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 84.8% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 99.6% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (sqrt.f64 x)) |
| ✓ | 83.9% | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 99.8% | (/.f64 (/.f64 #s(literal 1 binary64) x) x) |
| ▶ | 99.1% | (/.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 x x))) x) |
| ▶ | 18.0% | (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
| ✓ | 84.2% | (/.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | 43.9% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x (neg.f64 x))) (*.f64 x x))) |
| ✓ | 99.3% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | 23.9% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
| ▶ | 84.0% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) |
| ▶ | 84.1% | (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x x)))) |
Compiled 197 to 104 computations (47.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) |
| ✓ | cost-diff | 1728 | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 1920 | (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 1600 | (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 640 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) |
| ✓ | cost-diff | 0 | (/.f64 (sqrt.f64 x) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 x x))) x) |
| ✓ | cost-diff | 1920 | (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 x x))) |
| 5 600× | *-lowering-*.f32 |
| 5 600× | *-lowering-*.f64 |
| 2 958× | cube-prod |
| 2 584× | /-lowering-/.f32 |
| 2 584× | /-lowering-/.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 153 |
| 1 | 55 | 101 |
| 2 | 143 | 99 |
| 3 | 539 | 99 |
| 4 | 2591 | 99 |
| 5 | 3406 | 99 |
| 6 | 5576 | 99 |
| 7 | 6895 | 99 |
| 8 | 7204 | 99 |
| 9 | 7337 | 99 |
| 10 | 7344 | 99 |
| 11 | 7348 | 99 |
| 0 | 8531 | 99 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (sqrt x) (/ (sqrt x) (* x x))) x) |
(* (sqrt x) (/ (sqrt x) (* x x))) |
(sqrt x) |
x |
(/ (sqrt x) (* x x)) |
(* x x) |
(* (/ 1 (* x (* x x))) x) |
(/ 1 (* x (* x x))) |
1 |
(* x (* x x)) |
x |
(* x x) |
(/ (* x (* x x)) (* (* x (* x (* x x))) x)) |
(* x (* x x)) |
x |
(* x x) |
(* (* x (* x (* x x))) x) |
(* x (* x (* x x))) |
(* (sqrt x) (/ (sqrt x) (* x (* x x)))) |
(sqrt x) |
x |
(/ (sqrt x) (* x (* x x))) |
(* x (* x x)) |
(* x x) |
(/ (/ (/ 1 (* x x)) x) (/ 1 x)) |
(/ (/ 1 (* x x)) x) |
(/ 1 (* x x)) |
1 |
(* x x) |
x |
(/ 1 x) |
| Outputs |
|---|
(/ (* (sqrt x) (/ (sqrt x) (* x x))) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* (sqrt x) (/ (sqrt x) (* x x))) |
(/.f64 #s(literal 1 binary64) x) |
(sqrt x) |
(sqrt.f64 x) |
x |
(/ (sqrt x) (* x x)) |
(/.f64 (sqrt.f64 x) (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(* (/ 1 (* x (* x x))) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (* x (* x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
x |
(* x x) |
(*.f64 x x) |
(/ (* x (* x x)) (* (* x (* x (* x x))) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
x |
(* x x) |
(*.f64 x x) |
(* (* x (* x (* x x))) x) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) |
(* x (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* (sqrt x) (/ (sqrt x) (* x (* x x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(sqrt x) |
(sqrt.f64 x) |
x |
(/ (sqrt x) (* x (* x x))) |
(/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x x))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(/ (/ (/ 1 (* x x)) x) (/ 1 x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (/ 1 (* x x)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (* x x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(* x x) |
(*.f64 x x) |
x |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 84.9% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 94.6% | (/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 89.7% | (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 25.3% | (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 84.9% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 x x))) x) |
| ✓ | accuracy | 83.1% | (/.f64 (sqrt.f64 x) (*.f64 x x)) |
| ✓ | accuracy | 65.9% | (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 x x))) |
| 42.0ms | 256× | 0 | valid |
Compiled 161 to 21 computations (87% saved)
ival-div: 14.0ms (52.7% of total)ival-mult: 10.0ms (37.6% of total)ival-sqrt: 2.0ms (7.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (sqrt x) (/ (sqrt x) (* x x)))> |
#<alt (/ (* (sqrt x) (/ (sqrt x) (* x x))) x)> |
#<alt (sqrt x)> |
#<alt (/ (sqrt x) (* x x))> |
#<alt (* (/ 1 (* x (* x x))) x)> |
#<alt (/ 1 (* x (* x x)))> |
#<alt (* x (* x x))> |
#<alt (* x x)> |
#<alt (/ (* x (* x x)) (* (* x (* x (* x x))) x))> |
#<alt (* (* x (* x (* x x))) x)> |
#<alt (* (sqrt x) (/ (sqrt x) (* x (* x x))))> |
#<alt (/ (sqrt x) (* x (* x x)))> |
#<alt (/ (/ (/ 1 (* x x)) x) (/ 1 x))> |
#<alt (/ (/ 1 (* x x)) x)> |
#<alt (/ 1 (* x x))> |
#<alt (* x (* x (* x x)))> |
| Outputs |
|---|
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (pow (sqrt -1) 2) x))> |
#<alt (* -1 (/ (pow (sqrt -1) 2) x))> |
#<alt (* -1 (/ (pow (sqrt -1) 2) x))> |
#<alt (* -1 (/ (pow (sqrt -1) 2) x))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (* -1 (/ (pow (sqrt -1) 2) (pow x 2)))> |
#<alt (* -1 (/ (pow (sqrt -1) 2) (pow x 2)))> |
#<alt (* -1 (/ (pow (sqrt -1) 2) (pow x 2)))> |
#<alt (* -1 (/ (pow (sqrt -1) 2) (pow x 2)))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (* -1 (/ (pow (sqrt -1) 2) (pow x 2)))> |
#<alt (* -1 (/ (pow (sqrt -1) 2) (pow x 2)))> |
#<alt (* -1 (/ (pow (sqrt -1) 2) (pow x 2)))> |
#<alt (* -1 (/ (pow (sqrt -1) 2) (pow x 2)))> |
#<alt (sqrt (/ 1 (pow x 5)))> |
#<alt (sqrt (/ 1 (pow x 5)))> |
#<alt (sqrt (/ 1 (pow x 5)))> |
#<alt (sqrt (/ 1 (pow x 5)))> |
#<alt (sqrt (/ 1 (pow x 5)))> |
#<alt (sqrt (/ 1 (pow x 5)))> |
#<alt (sqrt (/ 1 (pow x 5)))> |
#<alt (sqrt (/ 1 (pow x 5)))> |
#<alt (* -1 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (* (sqrt x) (/ (sqrt x) (* x x))) |
| 0.0ms | x | @ | -inf | (/ (sqrt x) (* x (* x x))) |
| 0.0ms | x | @ | 0 | (* (* x (* x (* x x))) x) |
| 0.0ms | x | @ | -inf | (/ (* (sqrt x) (/ (sqrt x) (* x x))) x) |
| 0.0ms | x | @ | -inf | (* (* x (* x (* x x))) x) |
| 1× | batch-egg-rewrite |
| 2 276× | *-lowering-*.f32 |
| 2 276× | *-lowering-*.f64 |
| 1 472× | /-lowering-/.f32 |
| 1 472× | /-lowering-/.f64 |
| 564× | accelerator-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 117 |
| 1 | 113 | 49 |
| 2 | 670 | 47 |
| 0 | 4026 | 47 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt x) (/ (sqrt x) (* x x))) |
(/ (* (sqrt x) (/ (sqrt x) (* x x))) x) |
(sqrt x) |
(/ (sqrt x) (* x x)) |
(* (/ 1 (* x (* x x))) x) |
(/ 1 (* x (* x x))) |
(* x (* x x)) |
(* x x) |
(/ (* x (* x x)) (* (* x (* x (* x x))) x)) |
(* (* x (* x (* x x))) x) |
(* (sqrt x) (/ (sqrt x) (* x (* x x)))) |
(/ (sqrt x) (* x (* x x))) |
(/ (/ (/ 1 (* x x)) x) (/ 1 x)) |
(/ (/ 1 (* x x)) x) |
(/ 1 (* x x)) |
(* x (* x (* x x))) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1/2 binary64))) |
(exp.f64 (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) (log.f64 x)) (log.f64 (*.f64 x x)))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) (log.f64 x))))) |
(exp.f64 (-.f64 (log.f64 (*.f64 x x)) (*.f64 #s(literal 3 binary64) (log.f64 x)))) |
(exp.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 x x))) (*.f64 #s(literal -1 binary64) (log.f64 x)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1 binary64) x)) |
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (neg.f64 x)) (*.f64 x (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (neg.f64 x)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (*.f64 x x)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) x) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (neg.f64 x)) |
(pow.f64 x #s(literal 4 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 8 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -4 binary64)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 4 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (neg.f64 x) (neg.f64 (*.f64 x (*.f64 x x)))) |
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) |
(*.f64 (*.f64 x (*.f64 x (sqrt.f64 x))) (*.f64 x (sqrt.f64 x))) |
(*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 x (*.f64 x (sqrt.f64 x)))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 x x) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 x)) #s(literal -1 binary64)) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (neg.f64 x))) (neg.f64 x)) |
| 1× | egg-herbie |
| 568× | *-lowering-*.f32 |
| 568× | *-lowering-*.f64 |
| 568× | accelerator-lowering-fma.f32 |
| 568× | accelerator-lowering-fma.f64 |
| 282× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 828 |
| 1 | 58 | 828 |
| 2 | 143 | 828 |
| 3 | 269 | 828 |
| 4 | 519 | 828 |
| 5 | 694 | 828 |
| 6 | 1011 | 828 |
| 7 | 1404 | 828 |
| 8 | 1603 | 828 |
| 9 | 1689 | 828 |
| 10 | 1689 | 828 |
| 11 | 1717 | 828 |
| 12 | 1729 | 828 |
| 0 | 1729 | 828 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(* -1 (/ (pow (sqrt -1) 2) x)) |
(* -1 (/ (pow (sqrt -1) 2) x)) |
(* -1 (/ (pow (sqrt -1) 2) x)) |
(* -1 (/ (pow (sqrt -1) 2) x)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(* -1 (/ (pow (sqrt -1) 2) (pow x 2))) |
(* -1 (/ (pow (sqrt -1) 2) (pow x 2))) |
(* -1 (/ (pow (sqrt -1) 2) (pow x 2))) |
(* -1 (/ (pow (sqrt -1) 2) (pow x 2))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(* -1 (/ (pow (sqrt -1) 2) (pow x 2))) |
(* -1 (/ (pow (sqrt -1) 2) (pow x 2))) |
(* -1 (/ (pow (sqrt -1) 2) (pow x 2))) |
(* -1 (/ (pow (sqrt -1) 2) (pow x 2))) |
(sqrt (/ 1 (pow x 5))) |
(sqrt (/ 1 (pow x 5))) |
(sqrt (/ 1 (pow x 5))) |
(sqrt (/ 1 (pow x 5))) |
(sqrt (/ 1 (pow x 5))) |
(sqrt (/ 1 (pow x 5))) |
(sqrt (/ 1 (pow x 5))) |
(sqrt (/ 1 (pow x 5))) |
(* -1 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (pow (sqrt -1) 2) x)) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (pow (sqrt -1) 2) x)) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (pow (sqrt -1) 2) x)) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (pow (sqrt -1) 2) x)) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* -1 (/ (pow (sqrt -1) 2) (pow x 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* -1 (/ (pow (sqrt -1) 2) (pow x 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* -1 (/ (pow (sqrt -1) 2) (pow x 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* -1 (/ (pow (sqrt -1) 2) (pow x 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* -1 (/ (pow (sqrt -1) 2) (pow x 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* -1 (/ (pow (sqrt -1) 2) (pow x 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* -1 (/ (pow (sqrt -1) 2) (pow x 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* -1 (/ (pow (sqrt -1) 2) (pow x 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(sqrt (/ 1 (pow x 5))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(sqrt (/ 1 (pow x 5))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(sqrt (/ 1 (pow x 5))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(sqrt (/ 1 (pow x 5))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(sqrt (/ 1 (pow x 5))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(sqrt (/ 1 (pow x 5))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(sqrt (/ 1 (pow x 5))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(sqrt (/ 1 (pow x 5))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
Compiled 46 846 to 4 816 computations (89.7% saved)
12 alts after pruning (2 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 819 | 2 | 2 821 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 6 | 7 |
| Total | 2 821 | 12 | 2 833 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 84.8% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 99.6% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (sqrt.f64 x)) |
| 99.3% | (/.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) (sqrt.f64 x)) | |
| ✓ | 83.9% | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 99.8% | (/.f64 (/.f64 #s(literal 1 binary64) x) x) |
| ✓ | 18.0% | (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
| 90.0% | (/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x (sqrt.f64 x)))) | |
| ✓ | 84.2% | (/.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | 99.3% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | 23.9% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
| ✓ | 84.0% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) |
| ✓ | 84.1% | (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x x)))) |
Compiled 357 to 122 computations (65.8% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/.f64 x (*.f64 x (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) |
(/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x (sqrt.f64 x)))) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x x)))) |
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x (neg.f64 x))) (*.f64 x x))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 x x))) x) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (sqrt.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(pow.f64 x #s(literal -2 binary64)) |
| Outputs |
|---|
(pow.f64 x #s(literal -2 binary64)) |
3 calls:
| 8.0ms | x |
| 6.0ms | (*.f64 x x) |
| 6.0ms | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 100.0% | 1 | (*.f64 x x) |
Compiled 12 to 7 computations (41.7% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/.f64 x (*.f64 x (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) |
(/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x (sqrt.f64 x)))) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x x)))) |
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x (neg.f64 x))) (*.f64 x x))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 x x))) x) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (sqrt.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
3 calls:
| 12.0ms | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 6.0ms | x |
| 5.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 99.8% | 1 | (*.f64 x x) |
Compiled 12 to 7 computations (41.7% saved)
Total -9.7b remaining (-2193.8%)
Threshold costs -9.7b (-2193.8%)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/.f64 x (*.f64 x (*.f64 x x))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
3 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 1.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
| 99.3% | 1 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 99.3% | 1 | (*.f64 x x) |
Compiled 12 to 7 computations (41.7% saved)
| 1× | egg-herbie |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 11 | 13 |
| 1× | saturated |
| Inputs |
|---|
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| Outputs |
|---|
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 426× | *-lowering-*.f32 |
| 426× | *-lowering-*.f64 |
| 306× | /-lowering-/.f32 |
| 306× | /-lowering-/.f64 |
| 242× | accelerator-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 8 |
| 1 | 18 | 6 |
| 2 | 70 | 6 |
| 3 | 256 | 6 |
| 0 | 1087 | 6 |
| 1× | fuel |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 24 to 15 computations (37.5% saved)
(abs x)
Compiled 68 to 44 computations (35.3% saved)
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