Jmat.Real.lambertw, estimator
Time bar (total: 1.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 50% | 0% | 0% | 50% | 0% | 2 |
| 50% | 25% | 25% | 0% | 0% | 50% | 0% | 3 |
| 66.7% | 25% | 12.5% | 0% | 0% | 62.5% | 0% | 4 |
| 80% | 25% | 6.2% | 0% | 0% | 68.7% | 0% | 5 |
| 88.9% | 25% | 3.1% | 0% | 0% | 71.8% | 0% | 6 |
| 94.1% | 25% | 1.6% | 0% | 0% | 73.4% | 0% | 7 |
| 97% | 25% | 0.8% | 0% | 0% | 74.2% | 0% | 8 |
| 98.5% | 25% | 0.4% | 0% | 0% | 74.6% | 0% | 9 |
| 99.2% | 25% | 0.2% | 0% | 0% | 74.8% | 0% | 10 |
| 99.6% | 25% | 0.1% | 0% | 0% | 74.9% | 0% | 11 |
| 99.8% | 25% | 0% | 0% | 0% | 74.9% | 0% | 12 |
Compiled 8 to 5 computations (37.5% saved)
ival-sub: 0.0ms (0% of total)ival-log: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 563.0ms | 8256× | 0 | valid |
| 1.0ms | 15× | 0 | invalid |
ival-log: 240.0ms (74% of total)ival-sub: 73.0ms (22.5% of total)const: 8.0ms (2.5% of total)backward-pass: 3.0ms (0.9% of total)| 2× | egg-herbie |
| 244× | fnmadd-define |
| 234× | sum3-define |
| 176× | fmsub-define |
| 168× | fnmsub-define |
| 160× | fma-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 19 | 23 |
| 2 | 41 | 22 |
| 3 | 82 | 22 |
| 4 | 169 | 22 |
| 5 | 354 | 22 |
| 6 | 534 | 22 |
| 7 | 696 | 22 |
| 8 | 786 | 22 |
| 9 | 892 | 22 |
| 10 | 970 | 22 |
| 11 | 976 | 22 |
| 0 | 4 | 6 |
| 1 | 6 | 6 |
| 2 | 11 | 6 |
| 3 | 18 | 6 |
| 4 | 28 | 6 |
| 5 | 60 | 6 |
| 6 | 119 | 6 |
| 7 | 208 | 6 |
| 8 | 291 | 6 |
| 9 | 397 | 6 |
| 10 | 475 | 6 |
| 11 | 481 | 6 |
| 0 | 481 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- (log x) (log (log x))) |
| Outputs |
|---|
(- (log x) (log (log x))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| Inputs |
|---|
(- (log x) (log (log x))) |
(- (log (neg x)) (log (log (neg x)))) |
(neg (- (log (neg x)) (log (log (neg x))))) |
| Outputs |
|---|
(- (log x) (log (log x))) |
(- (log (neg x)) (log (log (neg x)))) |
(neg (- (log (neg x)) (log (log (neg x))))) |
(- (log (log (neg x))) (log (neg x))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (log.f64 x) |
| 0 | 0 | - | 0 | - | (log.f64 (log.f64 x)) |
| 45.0ms | 512× | 0 | valid |
Compiled 35 to 14 computations (60% saved)
ival-log: 13.0ms (76.2% of total)ival-sub: 4.0ms (23.4% of total)const: 1.0ms (5.9% of total)backward-pass: 0.0ms (0% of total)Compiled 7 to 4 computations (42.9% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
Compiled 7 to 4 computations (42.9% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (log.f64 (log.f64 x)) |
| ✓ | cost-diff | 0 | (log.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| 124× | fnmadd-define |
| 122× | sum3-define |
| 80× | fma-lowering-fma.f32 |
| 80× | fnmsub-define |
| 80× | fmsub-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 12 |
| 1 | 6 | 12 |
| 2 | 11 | 12 |
| 3 | 18 | 12 |
| 4 | 28 | 12 |
| 5 | 60 | 12 |
| 6 | 119 | 12 |
| 7 | 208 | 12 |
| 8 | 291 | 12 |
| 9 | 397 | 12 |
| 10 | 475 | 12 |
| 11 | 481 | 12 |
| 0 | 481 | 12 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (log x) (log (log x))) |
(log x) |
x |
(log (log x)) |
| Outputs |
|---|
(- (log x) (log (log x))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(log x) |
(log.f64 x) |
x |
(log (log x)) |
(log.f64 (log.f64 x)) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (log.f64 x) |
| ✓ | accuracy | 99.9% | (log.f64 (log.f64 x)) |
| ✓ | accuracy | 99.7% | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| 20.0ms | 256× | 0 | valid |
Compiled 14 to 5 computations (64.3% saved)
ival-log: 6.0ms (74% of total)ival-sub: 1.0ms (12.3% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (log x) (log (log x)))> |
#<alt (log x)> |
#<alt (log (log x))> |
| Outputs |
|---|
#<alt (- (log x) (log (log x)))> |
#<alt (- (log x) (log (log x)))> |
#<alt (- (log x) (log (log x)))> |
#<alt (- (log x) (log (log x)))> |
#<alt (- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x)))))> |
#<alt (- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x)))))> |
#<alt (- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x)))))> |
#<alt (- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x)))))> |
#<alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (log x)> |
#<alt (log x)> |
#<alt (log x)> |
#<alt (log x)> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (log (log x))> |
#<alt (log (log x))> |
#<alt (log (log x))> |
#<alt (log (log x))> |
#<alt (log (* -1 (log (/ 1 x))))> |
#<alt (log (* -1 (log (/ 1 x))))> |
#<alt (log (* -1 (log (/ 1 x))))> |
#<alt (log (* -1 (log (/ 1 x))))> |
#<alt (log (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (log (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (log (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (log (+ (log -1) (* -1 (log (/ -1 x)))))> |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 48.0ms | x | @ | -inf | (- (log x) (log (log x))) |
| 48.0ms | x | @ | 0 | (- (log x) (log (log x))) |
| 39.0ms | x | @ | inf | (- (log x) (log (log x))) |
| 0.0ms | x | @ | 0 | (log x) |
| 0.0ms | x | @ | inf | (log x) |
| 1× | batch-egg-rewrite |
| 600× | /-lowering-/.f32 |
| 600× | /-lowering-/.f64 |
| 596× | *-lowering-*.f32 |
| 596× | *-lowering-*.f64 |
| 412× | frac-times |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 10 |
| 1 | 8 | 10 |
| 2 | 22 | 10 |
| 3 | 73 | 10 |
| 4 | 250 | 10 |
| 5 | 758 | 10 |
| 0 | 2752 | 10 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (log x) (log (log x))) |
(log x) |
(log (log x)) |
| Outputs |
|---|
(log.f64 (/.f64 x (log.f64 x))) |
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)))) |
(+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 0 binary64)) |
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 #s(literal 1 binary64) (log.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (log.f64 x) #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x))) (log.f64 x)) |
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (log.f64 x)))) |
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (log.f64 x))))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 x))) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 x))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 x))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (log.f64 x)))) (log.f64 #s(literal -1 binary64))) |
(+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 x)))) |
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 x)))) |
(+.f64 (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) x))) #s(literal -1 binary64))) |
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (log.f64 x))))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(-.f64 (log.f64 (log.f64 x)) (log.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x))) |
(-.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 0 binary64)) |
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x))) (log.f64 (/.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (log.f64 x) x))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) x)))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (log.f64 x)))) (log.f64 #s(literal -1 binary64))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (log.f64 x)))) (log.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(-.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (log.f64 x) #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)))) |
(fma.f64 (log.f64 (log.f64 x)) #s(literal -1 binary64) (log.f64 x)) |
(fma.f64 #s(literal 1 binary64) (log.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)))) |
(fma.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)))) |
(fma.f64 #s(literal -1 binary64) (log.f64 (log.f64 x)) (log.f64 x)) |
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)))) |
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 (log.f64 x) x)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (log.f64 (log.f64 (/.f64 #s(literal 1 binary64) x))) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
(fma.f64 (log.f64 (/.f64 (log.f64 x) x)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(neg.f64 (log.f64 (/.f64 (log.f64 x) x))) |
(*.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x)))) |
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (log.f64 x) x))) |
(*.f64 (log.f64 (/.f64 (log.f64 x) x)) #s(literal -1 binary64)) |
(log.f64 x) |
(+.f64 (log.f64 x) #s(literal 0 binary64)) |
(+.f64 (log.f64 x) (fma.f64 #s(literal 1 binary64) (log.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 (log.f64 x) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 (log.f64 x) (fma.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 0 binary64) (log.f64 x)) |
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 #s(literal -1 binary64))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
(+.f64 (*.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 0 binary64) x)))) |
(+.f64 (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (log.f64 x))) |
(-.f64 (log.f64 x) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 #s(literal -1 binary64))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(-.f64 (/.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))) |
(fma.f64 (log.f64 x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (log.f64 x) #s(literal 0 binary64)) |
(fma.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) x)) (log.f64 x)) |
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (log.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 x))) |
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 x))) |
(pow.f64 (log.f64 x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)))) |
(*.f64 (log.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (log.f64 x)) |
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) |
(log.f64 (log.f64 x)) |
(+.f64 (log.f64 (log.f64 x)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (log.f64 (log.f64 x))) |
(+.f64 (log.f64 (log.f64 (/.f64 #s(literal 1 binary64) x))) (log.f64 #s(literal -1 binary64))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)))) |
(-.f64 (log.f64 (log.f64 x)) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)))) |
(-.f64 (log.f64 (log.f64 (/.f64 #s(literal 1 binary64) x))) (log.f64 #s(literal -1 binary64))) |
(-.f64 (log.f64 (log.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 x)))) |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)))) |
(*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64)) |
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) |
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)))) |
| 1× | egg-herbie |
| 568× | sum5-define |
| 474× | fnmadd-define |
| 444× | sum4-define |
| 426× | sum3-define |
| 392× | fmsub-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 228 |
| 1 | 37 | 212 |
| 2 | 73 | 212 |
| 3 | 152 | 212 |
| 4 | 351 | 212 |
| 5 | 644 | 212 |
| 6 | 1274 | 212 |
| 7 | 1843 | 212 |
| 8 | 2066 | 212 |
| 9 | 2092 | 212 |
| 0 | 2092 | 212 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (log x) (log (log x))) |
(- (log x) (log (log x))) |
(- (log x) (log (log x))) |
(- (log x) (log (log x))) |
(- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x))))) |
(- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x))))) |
(- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x))))) |
(- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x))))) |
(- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x)))))) |
(- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x)))))) |
(- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x)))))) |
(- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x)))))) |
(log x) |
(log x) |
(log x) |
(log x) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(log (log x)) |
(log (log x)) |
(log (log x)) |
(log (log x)) |
(log (* -1 (log (/ 1 x)))) |
(log (* -1 (log (/ 1 x)))) |
(log (* -1 (log (/ 1 x)))) |
(log (* -1 (log (/ 1 x)))) |
(log (+ (log -1) (* -1 (log (/ -1 x))))) |
(log (+ (log -1) (* -1 (log (/ -1 x))))) |
(log (+ (log -1) (* -1 (log (/ -1 x))))) |
(log (+ (log -1) (* -1 (log (/ -1 x))))) |
| Outputs |
|---|
(- (log x) (log (log x))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(- (log x) (log (log x))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(- (log x) (log (log x))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(- (log x) (log (log x))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x))))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x))))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x))))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(- (* -1 (log (/ 1 x))) (log (* -1 (log (/ 1 x))))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x)))))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
(- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x)))))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
(- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x)))))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
(- (+ (log -1) (* -1 (log (/ -1 x)))) (log (+ (log -1) (* -1 (log (/ -1 x)))))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(log (log x)) |
(log.f64 (log.f64 x)) |
(log (log x)) |
(log.f64 (log.f64 x)) |
(log (log x)) |
(log.f64 (log.f64 x)) |
(log (log x)) |
(log.f64 (log.f64 x)) |
(log (* -1 (log (/ 1 x)))) |
(log.f64 (log.f64 x)) |
(log (* -1 (log (/ 1 x)))) |
(log.f64 (log.f64 x)) |
(log (* -1 (log (/ 1 x)))) |
(log.f64 (log.f64 x)) |
(log (* -1 (log (/ 1 x)))) |
(log.f64 (log.f64 x)) |
(log (+ (log -1) (* -1 (log (/ -1 x))))) |
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(log (+ (log -1) (* -1 (log (/ -1 x))))) |
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(log (+ (log -1) (* -1 (log (/ -1 x))))) |
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(log (+ (log -1) (* -1 (log (/ -1 x))))) |
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
Compiled 1698 to 257 computations (84.9% saved)
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 174 | 1 | 175 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 174 | 2 | 176 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| ▶ | 100.0% | (log.f64 (/.f64 x (log.f64 x))) |
Compiled 13 to 8 computations (38.5% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (log.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 x (log.f64 x)) |
| ✓ | cost-diff | 0 | (log.f64 (/.f64 x (log.f64 x))) |
| 4× | log-lowering-log.f64 |
| 4× | log-lowering-log.f32 |
| 2× | /-lowering-/.f32 |
| 2× | /-lowering-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 12 |
| 0 | 4 | 12 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(log (/ x (log x))) |
(/ x (log x)) |
x |
(log x) |
| Outputs |
|---|
(log (/ x (log x))) |
(log.f64 (/.f64 x (log.f64 x))) |
(/ x (log x)) |
(/.f64 x (log.f64 x)) |
x |
(log x) |
(log.f64 x) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (log.f64 x) |
| ✓ | accuracy | 100.0% | (log.f64 (/.f64 x (log.f64 x))) |
| ✓ | accuracy | 99.6% | (/.f64 x (log.f64 x)) |
| 25.0ms | 256× | 0 | valid |
Compiled 14 to 5 computations (64.3% saved)
ival-log: 6.0ms (68.9% of total)ival-div: 2.0ms (23% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (log (/ x (log x)))> |
#<alt (/ x (log x))> |
#<alt (log x)> |
| Outputs |
|---|
#<alt (+ (log x) (log (/ 1 (log x))))> |
#<alt (+ (log x) (log (/ 1 (log x))))> |
#<alt (+ (log x) (log (/ 1 (log x))))> |
#<alt (+ (log x) (log (/ 1 (log x))))> |
#<alt (+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))> |
#<alt (+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))> |
#<alt (+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))> |
#<alt (+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))> |
#<alt (+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))> |
#<alt (/ x (log x))> |
#<alt (/ x (log x))> |
#<alt (/ x (log x))> |
#<alt (/ x (log x))> |
#<alt (* -1 (/ x (log (/ 1 x))))> |
#<alt (* -1 (/ x (log (/ 1 x))))> |
#<alt (* -1 (/ x (log (/ 1 x))))> |
#<alt (* -1 (/ x (log (/ 1 x))))> |
#<alt (/ x (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (/ x (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (/ x (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (/ x (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (log x)> |
#<alt (log x)> |
#<alt (log x)> |
#<alt (log x)> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | x | @ | inf | (log (/ x (log x))) |
| 24.0ms | x | @ | -inf | (log (/ x (log x))) |
| 15.0ms | x | @ | 0 | (log (/ x (log x))) |
| 0.0ms | x | @ | 0 | (/ x (log x)) |
| 0.0ms | x | @ | -inf | (/ x (log x)) |
| 1× | batch-egg-rewrite |
| 608× | /-lowering-/.f32 |
| 608× | /-lowering-/.f64 |
| 598× | *-lowering-*.f32 |
| 598× | *-lowering-*.f64 |
| 412× | frac-times |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 11 |
| 1 | 14 | 11 |
| 2 | 63 | 11 |
| 3 | 242 | 11 |
| 4 | 719 | 11 |
| 0 | 2614 | 11 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (/ x (log x))) |
(/ x (log x)) |
(log x) |
| Outputs |
|---|
(log.f64 (/.f64 x (log.f64 x))) |
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)))) |
(+.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 0 binary64)) |
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 #s(literal 1 binary64) (log.f64 x) (-.f64 #s(literal 0 binary64) (log.f64 x)))) |
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 x)) (-.f64 #s(literal 0 binary64) (log.f64 x)))) |
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (log.f64 x) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 x)))) |
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 x)))) |
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 x)))) |
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (log.f64 x)))) |
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x))) (log.f64 x)) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (log.f64 x))))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 x))) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 x))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 x))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(+.f64 (log.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (log.f64 x)))) (log.f64 #s(literal -1 binary64))) |
(+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 x)))) |
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 x)))) |
(+.f64 (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) x))) #s(literal -1 binary64))) |
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) (log.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (log.f64 x))))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(-.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 0 binary64)) |
(-.f64 (log.f64 (log.f64 x)) (log.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (log.f64 x) x))) |
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x))) (-.f64 #s(literal 0 binary64) (log.f64 x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) x)))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(-.f64 (log.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (log.f64 x)))) (log.f64 #s(literal -1 binary64))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (log.f64 x)))) (log.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))) |
(-.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (log.f64 x) #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)))) |
(fma.f64 (log.f64 (log.f64 x)) #s(literal -1 binary64) (log.f64 x)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)))) |
(fma.f64 #s(literal 1 binary64) (log.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)))) |
(fma.f64 (log.f64 (/.f64 (log.f64 x) x)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (log.f64 (log.f64 x)) (log.f64 x)) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)))) |
(fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 #s(literal 0 binary64) (log.f64 x))) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 (log.f64 x) x)) #s(literal 0 binary64)) |
(neg.f64 (log.f64 (/.f64 (log.f64 x) x))) |
(*.f64 (log.f64 (/.f64 x (log.f64 x))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (log.f64 x)))) |
(*.f64 (log.f64 (/.f64 (log.f64 x) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (log.f64 x) x))) |
(+.f64 (/.f64 x (log.f64 x)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (/.f64 x (log.f64 x))) |
(exp.f64 (log.f64 (/.f64 x (log.f64 x)))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (log.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 x (-.f64 #s(literal 0 binary64) (log.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 x (-.f64 #s(literal 0 binary64) (log.f64 x)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 0 binary64) (/.f64 x (log.f64 x))) |
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (log.f64 x)))) |
(/.f64 x (log.f64 x)) |
(/.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x)) |
(/.f64 (/.f64 x (log.f64 x)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (log.f64 x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x (log.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x (log.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (log.f64 x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) x))) |
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (log.f64 x))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (log.f64 x))) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) x))) |
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (log.f64 x))) |
(/.f64 (/.f64 (*.f64 x (log.f64 x)) (-.f64 #s(literal 0 binary64) (log.f64 x))) (-.f64 #s(literal 0 binary64) (log.f64 x))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (log.f64 x))) (-.f64 #s(literal 0 binary64) (log.f64 x))) (log.f64 x)) |
(/.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (log.f64 x))) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) x))) |
(pow.f64 (/.f64 x (log.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (log.f64 x) x) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (log.f64 x) x))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (log.f64 x))) |
(*.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x))) |
(*.f64 (/.f64 x (log.f64 x)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (log.f64 x))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (log.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 (log.f64 x) x))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (log.f64 x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 x)) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 x)) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) |
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (log.f64 x))) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (/.f64 x (-.f64 #s(literal 0 binary64) (log.f64 x))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (log.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))) |
(*.f64 (*.f64 x (log.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal 0 binary64) (log.f64 x)))) |
(*.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal -1 binary64) (log.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (log.f64 x)))) (/.f64 x (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (log.f64 x))) (*.f64 x x)) |
(log.f64 x) |
(+.f64 (log.f64 x) #s(literal 0 binary64)) |
(+.f64 (log.f64 x) (fma.f64 #s(literal 1 binary64) (log.f64 x) (-.f64 #s(literal 0 binary64) (log.f64 x)))) |
(+.f64 (log.f64 x) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 x)) (-.f64 #s(literal 0 binary64) (log.f64 x)))) |
(+.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 x)))) |
(+.f64 (log.f64 x) (fma.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 x)))) |
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (log.f64 x)) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
(+.f64 (*.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 0 binary64) x)))) |
(+.f64 (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (log.f64 x))) |
(-.f64 (log.f64 x) #s(literal 0 binary64)) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log.f64 x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(-.f64 (/.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))) |
(fma.f64 (log.f64 x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (log.f64 x) #s(literal 0 binary64)) |
(fma.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) x)) (log.f64 x)) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 0 binary64)) |
(neg.f64 (-.f64 #s(literal 0 binary64) (log.f64 x))) |
(/.f64 (log.f64 x) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (exp.f64 (log.f64 #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 x))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 x))) |
(pow.f64 (log.f64 x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) #s(literal -1 binary64)) |
(*.f64 (log.f64 x) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (log.f64 x)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 x))) |
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 x))) |
| 1× | egg-herbie |
| 544× | fnmadd-define |
| 444× | sum3-define |
| 384× | fma-lowering-fma.f32 |
| 384× | fma-lowering-fma.f64 |
| 356× | fnmsub-define |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 244 |
| 1 | 44 | 220 |
| 2 | 73 | 220 |
| 3 | 169 | 220 |
| 4 | 395 | 220 |
| 5 | 694 | 220 |
| 6 | 1086 | 204 |
| 7 | 1574 | 200 |
| 8 | 1958 | 200 |
| 9 | 2096 | 200 |
| 10 | 2137 | 200 |
| 11 | 2145 | 200 |
| 0 | 2145 | 200 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (log x) (log (/ 1 (log x)))) |
(+ (log x) (log (/ 1 (log x)))) |
(+ (log x) (log (/ 1 (log x)))) |
(+ (log x) (log (/ 1 (log x)))) |
(+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) |
(+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) |
(+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) |
(+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) |
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) |
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) |
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) |
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) |
(/ x (log x)) |
(/ x (log x)) |
(/ x (log x)) |
(/ x (log x)) |
(* -1 (/ x (log (/ 1 x)))) |
(* -1 (/ x (log (/ 1 x)))) |
(* -1 (/ x (log (/ 1 x)))) |
(* -1 (/ x (log (/ 1 x)))) |
(/ x (+ (log -1) (* -1 (log (/ -1 x))))) |
(/ x (+ (log -1) (* -1 (log (/ -1 x))))) |
(/ x (+ (log -1) (* -1 (log (/ -1 x))))) |
(/ x (+ (log -1) (* -1 (log (/ -1 x))))) |
(log x) |
(log x) |
(log x) |
(log x) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
| Outputs |
|---|
(+ (log x) (log (/ 1 (log x)))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(+ (log x) (log (/ 1 (log x)))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(+ (log x) (log (/ 1 (log x)))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(+ (log x) (log (/ 1 (log x)))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(+ (log (/ -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64))))) |
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64))))) |
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64))))) |
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64))))) |
(/ x (log x)) |
(/.f64 x (log.f64 x)) |
(/ x (log x)) |
(/.f64 x (log.f64 x)) |
(/ x (log x)) |
(/.f64 x (log.f64 x)) |
(/ x (log x)) |
(/.f64 x (log.f64 x)) |
(* -1 (/ x (log (/ 1 x)))) |
(/.f64 x (log.f64 x)) |
(* -1 (/ x (log (/ 1 x)))) |
(/.f64 x (log.f64 x)) |
(* -1 (/ x (log (/ 1 x)))) |
(/.f64 x (log.f64 x)) |
(* -1 (/ x (log (/ 1 x)))) |
(/.f64 x (log.f64 x)) |
(/ x (+ (log -1) (* -1 (log (/ -1 x))))) |
(/.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(/ x (+ (log -1) (* -1 (log (/ -1 x))))) |
(/.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(/ x (+ (log -1) (* -1 (log (/ -1 x))))) |
(/.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(/ x (+ (log -1) (* -1 (log (/ -1 x))))) |
(/.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
Compiled 1561 to 322 computations (79.4% saved)
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 166 | 0 | 166 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 166 | 2 | 168 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| ✓ | 100.0% | (log.f64 (/.f64 x (log.f64 x))) |
Compiled 25 to 14 computations (44% saved)
Total -0.2b remaining (-5300%)
Threshold costs -0.2b (-5300%)
| Inputs |
|---|
(log.f64 (/.f64 x (log.f64 x))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| Outputs |
|---|
(log.f64 (/.f64 x (log.f64 x))) |
3 calls:
| 1.0ms | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| 1.0ms | (log.f64 x) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| 100.0% | 1 | (log.f64 x) |
Compiled 12 to 7 computations (41.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 5 |
| 1× | saturated |
| Inputs |
|---|
(log.f64 (/.f64 x (log.f64 x))) |
| Outputs |
|---|
(log.f64 (/.f64 x (log.f64 x))) |
| 600× | /-lowering-/.f32 |
| 600× | /-lowering-/.f64 |
| 596× | *-lowering-*.f32 |
| 596× | *-lowering-*.f64 |
| 412× | frac-times |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 10 |
| 1 | 8 | 10 |
| 2 | 22 | 10 |
| 3 | 73 | 10 |
| 4 | 250 | 10 |
| 5 | 758 | 10 |
| 0 | 2752 | 10 |
| 1× | done |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 12 to 8 computations (33.3% saved)
Compiled 26 to 16 computations (38.5% saved)
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