
Time bar (total: 5.9s)
| 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 6 computations (25% saved)
| 403.0ms | 8 256× | 0 | valid |
| 0.0ms | 12× | 0 | invalid |
ival-log: 218.0ms (79.2% of total)ival-sub: 49.0ms (17.8% of total)ival-true: 5.0ms (1.8% of total)ival-assert: 3.0ms (1.1% of total)| 2× | egg-herbie |
| 80× | accelerator-lowering-fma.f32 |
| 80× | accelerator-lowering-fma.f64 |
| 64× | sub-neg |
| 48× | *-lowering-*.f32 |
| 48× | *-lowering-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 19 | 23 |
| 2 | 41 | 22 |
| 3 | 76 | 22 |
| 4 | 128 | 22 |
| 5 | 191 | 22 |
| 6 | 236 | 22 |
| 7 | 260 | 22 |
| 8 | 304 | 22 |
| 9 | 319 | 22 |
| 10 | 327 | 22 |
| 0 | 4 | 6 |
| 1 | 6 | 6 |
| 2 | 11 | 6 |
| 3 | 17 | 6 |
| 4 | 25 | 6 |
| 5 | 40 | 6 |
| 6 | 73 | 6 |
| 7 | 97 | 6 |
| 8 | 141 | 6 |
| 9 | 156 | 6 |
| 10 | 164 | 6 |
| 0 | 164 | 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 | - | (log.f64 (log.f64 x)) |
| 0 | 0 | - | 0 | - | (log.f64 x) |
| 0 | 0 | - | 0 | - | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 29.0ms | 512× | 0 | valid |
Compiled 42 to 20 computations (52.4% saved)
ival-log: 12.0ms (80.6% of total)ival-sub: 2.0ms (13.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (-.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))) |
| 80× | accelerator-lowering-fma.f32 |
| 80× | accelerator-lowering-fma.f64 |
| 48× | *-lowering-*.f32 |
| 48× | *-lowering-*.f64 |
| 32× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 12 |
| 1 | 6 | 12 |
| 2 | 11 | 12 |
| 3 | 17 | 12 |
| 4 | 25 | 12 |
| 5 | 40 | 12 |
| 6 | 73 | 12 |
| 7 | 97 | 12 |
| 8 | 141 | 12 |
| 9 | 156 | 12 |
| 10 | 164 | 12 |
| 0 | 164 | 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 | 99.6% | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| 12.0ms | 256× | 0 | valid |
Compiled 14 to 6 computations (57.1% saved)
ival-log: 6.0ms (81.5% of total)ival-sub: 1.0ms (13.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 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 | |
|---|---|---|---|---|
| 49.0ms | x | @ | 0 | (- (log x) (log (log x))) |
| 45.0ms | x | @ | -inf | (- (log x) (log (log x))) |
| 23.0ms | x | @ | inf | (- (log x) (log (log x))) |
| 0.0ms | x | @ | 0 | (log x) |
| 0.0ms | x | @ | -inf | (log (log x)) |
| 1× | batch-egg-rewrite |
| 4 954× | accelerator-lowering-fma.f32 |
| 4 954× | accelerator-lowering-fma.f64 |
| 3 078× | /-lowering-/.f32 |
| 3 078× | /-lowering-/.f64 |
| 2 794× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 10 |
| 1 | 21 | 10 |
| 2 | 147 | 10 |
| 3 | 1394 | 10 |
| 0 | 9728 | 10 |
| 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 (log.f64 x))) |
(+.f64 (log.f64 (log.f64 x)) (log.f64 x)) |
(+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.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 0 binary64) (log.f64 x)))) |
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) (log.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (log.f64 x))))) #s(literal -1 binary64))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(-.f64 (log.f64 x) (/.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (log.f64 x)))))) |
(-.f64 #s(literal 0 binary64) (-.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 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 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 4 binary64)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 3 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (log.f64 x))))) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (log.f64 x))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 x) (log.f64 (log.f64 x))) #s(literal 3 binary64))) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 x) (log.f64 (log.f64 x))) #s(literal 3 binary64))) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))) (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))) (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x))))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 x) (log.f64 (log.f64 x))) #s(literal 3 binary64))) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))) (/.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 x) (log.f64 (log.f64 x))) #s(literal 3 binary64))) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x))))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))) (/.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x))))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (pow.f64 (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 x (log.f64 x))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 4 binary64)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) (log.f64 (*.f64 x (log.f64 x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (log.f64 x))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 9 binary64)) (*.f64 (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) (+.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 x) (log.f64 (log.f64 x))) #s(literal 3 binary64))) (pow.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 9 binary64)) (*.f64 (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) (+.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 x) (log.f64 (log.f64 x))) #s(literal 3 binary64))) (pow.f64 (log.f64 x) #s(literal 6 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (*.f64 (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (*.f64 (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
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(*.f64 (/.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))) (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))) (-.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))) (-.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 x) (log.f64 (log.f64 x))) #s(literal 3 binary64))) (pow.f64 (log.f64 x) #s(literal 6 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))))) |
(*.f64 (pow.f64 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (+.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 x) (log.f64 (log.f64 x)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (log.f64 x)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (log.f64 x)))) #s(literal -1/2 binary64))) |
(log.f64 x) |
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 (log.f64 x) #s(literal 0 binary64)) |
(exp.f64 (log.f64 (log.f64 x))) |
(-.f64 (log.f64 x) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log.f64 x))) |
(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 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(neg.f64 (-.f64 #s(literal 0 binary64) (log.f64 x))) |
(/.f64 (log.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (log.f64 x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 x))) |
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 0 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 0 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x)) |
(pow.f64 (log.f64 x) #s(literal 1 binary64)) |
(pow.f64 (log.f64 x) #s(literal -1 binary64)) |
(*.f64 (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 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) |
(log.f64 (log.f64 x)) |
(+.f64 #s(literal 0 binary64) (log.f64 (log.f64 x))) |
(exp.f64 (log.f64 (log.f64 (log.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (log.f64 (log.f64 x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64))) (log.f64 (log.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (log.f64 x))) (log.f64 (log.f64 x))) |
(neg.f64 (log.f64 (log.f64 x))) |
(/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (neg.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (log.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (log.f64 x)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64)) |
(*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64)) |
(*.f64 (log.f64 (log.f64 x)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))) |
(*.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) |
(*.f64 #s(literal -1 binary64) (log.f64 (log.f64 x))) |
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 1/2 binary64))) |
| 1× | egg-herbie |
| 384× | accelerator-lowering-fma.f32 |
| 384× | accelerator-lowering-fma.f64 |
| 160× | *-lowering-*.f32 |
| 160× | *-lowering-*.f64 |
| 136× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 228 |
| 1 | 34 | 212 |
| 2 | 60 | 212 |
| 3 | 125 | 212 |
| 4 | 243 | 212 |
| 5 | 342 | 212 |
| 6 | 442 | 212 |
| 7 | 486 | 212 |
| 8 | 493 | 212 |
| 0 | 493 | 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 9 114 to 694 computations (92.4% saved)
21 alts after pruning (20 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 303 | 20 | 323 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 303 | 21 | 324 |
| Status | Accuracy | Program |
|---|---|---|
| 97.9% | (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) | |
| 99.1% | (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x))))))) | |
| 97.4% | (/.f64 (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))))))) | |
| 97.8% | (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))) | |
| 97.8% | (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) | |
| 97.7% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (*.f64 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))) | |
| 97.8% | (/.f64 (-.f64 (log.f64 (*.f64 x (log.f64 x))) (*.f64 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (*.f64 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x (log.f64 x))))) | |
| 25.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (log.f64 x))))) | |
| 99.1% | (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x))))))) | |
| ▶ | 97.9% | (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))) |
| 99.0% | (-.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))) (/.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x))))))) | |
| 99.3% | (-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 0 binary64))))) (log.f64 (log.f64 x))) | |
| 99.5% | (-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x)) (log.f64 (log.f64 x))) | |
| ▶ | 97.8% | (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) (/.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) |
| 99.0% | (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64))) (log.f64 (log.f64 x))) | |
| ▶ | 99.6% | (-.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
| ▶ | 99.6% | (-.f64 (log.f64 x) (log.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x)))) |
| ✓ | 99.6% | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| 99.6% | (-.f64 (log.f64 x) (exp.f64 (log.f64 (log.f64 (log.f64 x))))) | |
| 98.3% | (-.f64 (exp.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))) | |
| ▶ | 25.0% | (log.f64 (*.f64 x (log.f64 x))) |
Compiled 1 215 to 498 computations (59% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (pow.f64 (log.f64 x) #s(literal 2 binary64)) |
| ✓ | cost-diff | 13888 | (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) (/.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 20032 | (/.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) |
| ✓ | cost-diff | 20032 | (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (log.f64 x) |
| ✓ | cost-diff | 0 | (pow.f64 (log.f64 x) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) |
| ✓ | cost-diff | 13888 | (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))) |
| ✓ | cost-diff | 0 | (log.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 (log.f64 x) (log.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x)))) |
| ✓ | cost-diff | 192 | (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) |
| ✓ | cost-diff | 13568 | (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x)) |
| ✓ | cost-diff | -64 | (*.f64 x (log.f64 x)) |
| ✓ | cost-diff | 0 | (log.f64 x) |
| ✓ | cost-diff | 0 | (log.f64 (*.f64 x (log.f64 x))) |
| ✓ | cost-diff | 0 | (log.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
| ✓ | cost-diff | 192 | (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64)) |
| ✓ | cost-diff | 26432 | (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64))) |
| 5 536× | *-lowering-*.f32 |
| 5 536× | *-lowering-*.f64 |
| 5 036× | accelerator-lowering-fma.f32 |
| 5 036× | accelerator-lowering-fma.f64 |
| 2 326× | /-lowering-/.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 289 |
| 1 | 55 | 289 |
| 2 | 154 | 247 |
| 3 | 469 | 225 |
| 4 | 1090 | 221 |
| 5 | 3478 | 221 |
| 6 | 7077 | 221 |
| 0 | 8229 | 221 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (log x) (/ (pow (log (log x)) 3) (+ (pow (log (log x)) 2) 0))) |
(log x) |
x |
(/ (pow (log (log x)) 3) (+ (pow (log (log x)) 2) 0)) |
(pow (log (log x)) 3) |
(log (log x)) |
3 |
(+ (pow (log (log x)) 2) 0) |
(pow (log (log x)) 2) |
2 |
0 |
(log (* x (log x))) |
(* x (log x)) |
x |
(log x) |
(- (log x) (log (/ (- (pow (log x) 2) 0) (log x)))) |
(log x) |
x |
(log (/ (- (pow (log x) 2) 0) (log x))) |
(/ (- (pow (log x) 2) 0) (log x)) |
(- (pow (log x) 2) 0) |
(pow (log x) 2) |
2 |
0 |
(- (/ (pow (log x) 2) (log (* x (log x)))) (/ (pow (log (log x)) 2) (log (* x (log x))))) |
(/ (pow (log x) 2) (log (* x (log x)))) |
(pow (log x) 2) |
(log x) |
x |
2 |
(log (* x (log x))) |
(* x (log x)) |
(/ (pow (log (log x)) 2) (log (* x (log x)))) |
(pow (log (log x)) 2) |
(log (log x)) |
(- (/ (* (pow (log x) 2) (log (* x (log x)))) (pow (log (* x (log x))) 2)) (/ (* (log (* x (log x))) (pow (log (log x)) 2)) (pow (log (* x (log x))) 2))) |
(/ (* (pow (log x) 2) (log (* x (log x)))) (pow (log (* x (log x))) 2)) |
(* (pow (log x) 2) (log (* x (log x)))) |
(pow (log x) 2) |
(log x) |
x |
2 |
(log (* x (log x))) |
(* x (log x)) |
(pow (log (* x (log x))) 2) |
(/ (* (log (* x (log x))) (pow (log (log x)) 2)) (pow (log (* x (log x))) 2)) |
(* (log (* x (log x))) (pow (log (log x)) 2)) |
(pow (log (log x)) 2) |
(log (log x)) |
| Outputs |
|---|
(- (log x) (/ (pow (log (log x)) 3) (+ (pow (log (log x)) 2) 0))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(log x) |
(log.f64 x) |
x |
(/ (pow (log (log x)) 3) (+ (pow (log (log x)) 2) 0)) |
(log.f64 (log.f64 x)) |
(pow (log (log x)) 3) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) |
(log (log x)) |
(log.f64 (log.f64 x)) |
3 |
#s(literal 3 binary64) |
(+ (pow (log (log x)) 2) 0) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow (log (log x)) 2) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
0 |
#s(literal 0 binary64) |
(log (* x (log x))) |
(log.f64 (fma.f64 x (log.f64 x) #s(literal 0 binary64))) |
(* x (log x)) |
(fma.f64 x (log.f64 x) #s(literal 0 binary64)) |
x |
(log x) |
(log.f64 x) |
(- (log x) (log (/ (- (pow (log x) 2) 0) (log x)))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(log x) |
(log.f64 x) |
x |
(log (/ (- (pow (log x) 2) 0) (log x))) |
(log.f64 (log.f64 x)) |
(/ (- (pow (log x) 2) 0) (log x)) |
(log.f64 x) |
(- (pow (log x) 2) 0) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(pow (log x) 2) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
0 |
#s(literal 0 binary64) |
(- (/ (pow (log x) 2) (log (* x (log x)))) (/ (pow (log (log x)) 2) (log (* x (log x))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (log.f64 (fma.f64 x (log.f64 x) #s(literal 0 binary64)))) |
(/ (pow (log x) 2) (log (* x (log x)))) |
(/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (fma.f64 x (log.f64 x) #s(literal 0 binary64)))) |
(pow (log x) 2) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(log x) |
(log.f64 x) |
x |
2 |
#s(literal 2 binary64) |
(log (* x (log x))) |
(log.f64 (fma.f64 x (log.f64 x) #s(literal 0 binary64))) |
(* x (log x)) |
(fma.f64 x (log.f64 x) #s(literal 0 binary64)) |
(/ (pow (log (log x)) 2) (log (* x (log x)))) |
(/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (fma.f64 x (log.f64 x) #s(literal 0 binary64)))) |
(pow (log (log x)) 2) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) |
(log (log x)) |
(log.f64 (log.f64 x)) |
(- (/ (* (pow (log x) 2) (log (* x (log x)))) (pow (log (* x (log x))) 2)) (/ (* (log (* x (log x))) (pow (log (log x)) 2)) (pow (log (* x (log x))) 2))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (log.f64 (fma.f64 x (log.f64 x) #s(literal 0 binary64)))) |
(/ (* (pow (log x) 2) (log (* x (log x)))) (pow (log (* x (log x))) 2)) |
(/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (fma.f64 x (log.f64 x) #s(literal 0 binary64)))) |
(* (pow (log x) 2) (log (* x (log x)))) |
(fma.f64 (log.f64 (fma.f64 x (log.f64 x) #s(literal 0 binary64))) (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(pow (log x) 2) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(log x) |
(log.f64 x) |
x |
2 |
#s(literal 2 binary64) |
(log (* x (log x))) |
(log.f64 (fma.f64 x (log.f64 x) #s(literal 0 binary64))) |
(* x (log x)) |
(fma.f64 x (log.f64 x) #s(literal 0 binary64)) |
(pow (log (* x (log x))) 2) |
(pow.f64 (log.f64 (fma.f64 x (log.f64 x) #s(literal 0 binary64))) #s(literal 2 binary64)) |
(/ (* (log (* x (log x))) (pow (log (log x)) 2)) (pow (log (* x (log x))) 2)) |
(/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (fma.f64 x (log.f64 x) #s(literal 0 binary64)))) |
(* (log (* x (log x))) (pow (log (log x)) 2)) |
(fma.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (fma.f64 x (log.f64 x) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(pow (log (log x)) 2) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) |
(log (log x)) |
(log.f64 (log.f64 x)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.3% | (pow.f64 (log.f64 x) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.2% | (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.2% | (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) |
| ✓ | accuracy | 98.9% | (log.f64 (*.f64 x (log.f64 x))) |
| ✓ | accuracy | 99.4% | (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) |
| ✓ | accuracy | 99.3% | (pow.f64 (log.f64 x) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.2% | (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) |
| ✓ | accuracy | 98.9% | (log.f64 (*.f64 x (log.f64 x))) |
| ✓ | accuracy | 99.9% | (log.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x))) |
| ✓ | accuracy | 99.6% | (-.f64 (log.f64 x) (log.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x)))) |
| ✓ | accuracy | 99.3% | (pow.f64 (log.f64 x) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.2% | (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x)) |
| ✓ | accuracy | 100.0% | (log.f64 x) |
| ✓ | accuracy | 99.6% | (*.f64 x (log.f64 x)) |
| ✓ | accuracy | 98.9% | (log.f64 (*.f64 x (log.f64 x))) |
| ✓ | accuracy | 99.6% | (-.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
| ✓ | accuracy | 99.4% | (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64))) |
| ✓ | accuracy | 99.2% | (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) |
| ✓ | accuracy | 98.9% | (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) |
| 132.0ms | 256× | 0 | valid |
Compiled 312 to 29 computations (90.7% saved)
ival-div: 20.0ms (36.4% of total)ival-log: 15.0ms (27.3% of total)ival-pow2: 6.0ms (10.9% of total)ival-sub: 5.0ms (9.1% of total)ival-mult: 4.0ms (7.3% of total)ival-pow: 3.0ms (5.5% of total)ival-add: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (pow (log (log x)) 3) (+ (pow (log (log x)) 2) 0))> |
#<alt (+ (pow (log (log x)) 2) 0)> |
#<alt (- (log x) (/ (pow (log (log x)) 3) (+ (pow (log (log x)) 2) 0)))> |
#<alt (log x)> |
#<alt (log (* x (log x)))> |
#<alt (* x (log x))> |
#<alt (/ (- (pow (log x) 2) 0) (log x))> |
#<alt (- (pow (log x) 2) 0)> |
#<alt (- (log x) (log (/ (- (pow (log x) 2) 0) (log x))))> |
#<alt (- (/ (pow (log x) 2) (log (* x (log x)))) (/ (pow (log (log x)) 2) (log (* x (log x)))))> |
#<alt (/ (pow (log x) 2) (log (* x (log x))))> |
#<alt (pow (log x) 2)> |
#<alt (/ (* (pow (log x) 2) (log (* x (log x)))) (pow (log (* x (log x))) 2))> |
#<alt (/ (* (log (* x (log x))) (pow (log (log x)) 2)) (pow (log (* x (log x))) 2))> |
#<alt (- (/ (* (pow (log x) 2) (log (* x (log x)))) (pow (log (* x (log x))) 2)) (/ (* (log (* x (log x))) (pow (log (log x)) 2)) (pow (log (* x (log x))) 2)))> |
#<alt (pow (log (log x)) 3)> |
#<alt (pow (log (log x)) 2)> |
#<alt (log (/ (- (pow (log x) 2) 0) (log x)))> |
#<alt (pow (log (* x (log x))) 2)> |
| Outputs |
|---|
#<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)))))> |
#<alt (pow (log (log x)) 2)> |
#<alt (pow (log (log x)) 2)> |
#<alt (pow (log (log x)) 2)> |
#<alt (pow (log (log x)) 2)> |
#<alt (pow (log (* -1 (log (/ 1 x)))) 2)> |
#<alt (pow (log (* -1 (log (/ 1 x)))) 2)> |
#<alt (pow (log (* -1 (log (/ 1 x)))) 2)> |
#<alt (pow (log (* -1 (log (/ 1 x)))) 2)> |
#<alt (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)> |
#<alt (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)> |
#<alt (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)> |
#<alt (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)> |
#<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 x) (log (log x)))> |
#<alt (+ (log x) (log (log x)))> |
#<alt (+ (log x) (log (log x)))> |
#<alt (+ (log x) (log (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))))> |
#<alt (pow (log x) 2)> |
#<alt (pow (log x) 2)> |
#<alt (pow (log x) 2)> |
#<alt (pow (log x) 2)> |
#<alt (pow (log (/ 1 x)) 2)> |
#<alt (pow (log (/ 1 x)) 2)> |
#<alt (pow (log (/ 1 x)) 2)> |
#<alt (pow (log (/ 1 x)) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)> |
#<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 (- (/ (pow (log x) 2) (+ (log x) (log (log x)))) (/ (pow (log (log x)) 2) (+ (log x) (log (log x)))))> |
#<alt (- (/ (pow (log x) 2) (+ (log x) (log (log x)))) (/ (pow (log (log x)) 2) (+ (log x) (log (log x)))))> |
#<alt (- (/ (pow (log x) 2) (+ (log x) (log (log x)))) (/ (pow (log (log x)) 2) (+ (log x) (log (log x)))))> |
#<alt (- (/ (pow (log x) 2) (+ (log x) (log (log x)))) (/ (pow (log (log x)) 2) (+ (log x) (log (log x)))))> |
#<alt (- (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))> |
#<alt (- (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))> |
#<alt (- (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))> |
#<alt (- (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))> |
#<alt (- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))> |
#<alt (- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))> |
#<alt (- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))> |
#<alt (- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))> |
#<alt (/ (pow (log x) 2) (+ (log x) (log (log x))))> |
#<alt (/ (pow (log x) 2) (+ (log x) (log (log x))))> |
#<alt (/ (pow (log x) 2) (+ (log x) (log (log x))))> |
#<alt (/ (pow (log x) 2) (+ (log x) (log (log x))))> |
#<alt (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))> |
#<alt (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))> |
#<alt (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))> |
#<alt (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))> |
#<alt (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))> |
#<alt (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))> |
#<alt (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))> |
#<alt (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))> |
#<alt (pow (log x) 2)> |
#<alt (pow (log x) 2)> |
#<alt (pow (log x) 2)> |
#<alt (pow (log x) 2)> |
#<alt (pow (log (/ 1 x)) 2)> |
#<alt (pow (log (/ 1 x)) 2)> |
#<alt (pow (log (/ 1 x)) 2)> |
#<alt (pow (log (/ 1 x)) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)> |
#<alt (/ (pow (log x) 2) (+ (log x) (log (log x))))> |
#<alt (/ (pow (log x) 2) (+ (log x) (log (log x))))> |
#<alt (/ (pow (log x) 2) (+ (log x) (log (log x))))> |
#<alt (/ (pow (log x) 2) (+ (log x) (log (log x))))> |
#<alt (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))> |
#<alt (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))> |
#<alt (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))> |
#<alt (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))> |
#<alt (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))> |
#<alt (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))> |
#<alt (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))> |
#<alt (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))> |
#<alt (/ (pow (log (log x)) 2) (+ (log x) (log (log x))))> |
#<alt (/ (pow (log (log x)) 2) (+ (log x) (log (log x))))> |
#<alt (/ (pow (log (log x)) 2) (+ (log x) (log (log x))))> |
#<alt (/ (pow (log (log x)) 2) (+ (log x) (log (log x))))> |
#<alt (/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))> |
#<alt (/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))> |
#<alt (/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))> |
#<alt (/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))> |
#<alt (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))> |
#<alt (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))> |
#<alt (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))> |
#<alt (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))> |
#<alt (- (/ (pow (log x) 2) (+ (log x) (log (log x)))) (/ (pow (log (log x)) 2) (+ (log x) (log (log x)))))> |
#<alt (- (/ (pow (log x) 2) (+ (log x) (log (log x)))) (/ (pow (log (log x)) 2) (+ (log x) (log (log x)))))> |
#<alt (- (/ (pow (log x) 2) (+ (log x) (log (log x)))) (/ (pow (log (log x)) 2) (+ (log x) (log (log x)))))> |
#<alt (- (/ (pow (log x) 2) (+ (log x) (log (log x)))) (/ (pow (log (log x)) 2) (+ (log x) (log (log x)))))> |
#<alt (- (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))> |
#<alt (- (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))> |
#<alt (- (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))> |
#<alt (- (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))> |
#<alt (- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))> |
#<alt (- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))> |
#<alt (- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))> |
#<alt (- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))> |
#<alt (pow (log (log x)) 3)> |
#<alt (pow (log (log x)) 3)> |
#<alt (pow (log (log x)) 3)> |
#<alt (pow (log (log x)) 3)> |
#<alt (pow (log (* -1 (log (/ 1 x)))) 3)> |
#<alt (pow (log (* -1 (log (/ 1 x)))) 3)> |
#<alt (pow (log (* -1 (log (/ 1 x)))) 3)> |
#<alt (pow (log (* -1 (log (/ 1 x)))) 3)> |
#<alt (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 3)> |
#<alt (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 3)> |
#<alt (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 3)> |
#<alt (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 3)> |
#<alt (pow (log (log x)) 2)> |
#<alt (pow (log (log x)) 2)> |
#<alt (pow (log (log x)) 2)> |
#<alt (pow (log (log x)) 2)> |
#<alt (pow (log (* -1 (log (/ 1 x)))) 2)> |
#<alt (pow (log (* -1 (log (/ 1 x)))) 2)> |
#<alt (pow (log (* -1 (log (/ 1 x)))) 2)> |
#<alt (pow (log (* -1 (log (/ 1 x)))) 2)> |
#<alt (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)> |
#<alt (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)> |
#<alt (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)> |
#<alt (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)> |
#<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)))))> |
#<alt (pow (+ (log x) (log (log x))) 2)> |
#<alt (pow (+ (log x) (log (log x))) 2)> |
#<alt (pow (+ (log x) (log (log x))) 2)> |
#<alt (pow (+ (log x) (log (log x))) 2)> |
#<alt (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2)> |
#<alt (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2)> |
#<alt (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2)> |
#<alt (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2)> |
#<alt (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2)> |
#<alt (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2)> |
#<alt (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2)> |
#<alt (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2)> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | x | @ | -inf | (log (* x (log x))) |
| 15.0ms | x | @ | 0 | (log (* x (log x))) |
| 9.0ms | x | @ | inf | (log (* x (log x))) |
| 4.0ms | x | @ | inf | (- (pow (log x) 2) 0) |
| 2.0ms | x | @ | -inf | (- (/ (pow (log x) 2) (log (* x (log x)))) (/ (pow (log (log x)) 2) (log (* x (log x))))) |
| 1× | batch-egg-rewrite |
| 5 182× | accelerator-lowering-fma.f32 |
| 5 182× | accelerator-lowering-fma.f64 |
| 3 080× | /-lowering-/.f32 |
| 3 080× | /-lowering-/.f64 |
| 2 556× | *-lowering-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 160 |
| 1 | 202 | 112 |
| 2 | 2176 | 100 |
| 0 | 9571 | 100 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow (log (log x)) 3) (+ (pow (log (log x)) 2) 0)) |
(+ (pow (log (log x)) 2) 0) |
(- (log x) (/ (pow (log (log x)) 3) (+ (pow (log (log x)) 2) 0))) |
(log x) |
(log (* x (log x))) |
(* x (log x)) |
(/ (- (pow (log x) 2) 0) (log x)) |
(- (pow (log x) 2) 0) |
(- (log x) (log (/ (- (pow (log x) 2) 0) (log x)))) |
(- (/ (pow (log x) 2) (log (* x (log x)))) (/ (pow (log (log x)) 2) (log (* x (log x))))) |
(/ (pow (log x) 2) (log (* x (log x)))) |
(pow (log x) 2) |
(/ (* (pow (log x) 2) (log (* x (log x)))) (pow (log (* x (log x))) 2)) |
(/ (* (log (* x (log x))) (pow (log (log x)) 2)) (pow (log (* x (log x))) 2)) |
(- (/ (* (pow (log x) 2) (log (* x (log x)))) (pow (log (* x (log x))) 2)) (/ (* (log (* x (log x))) (pow (log (log x)) 2)) (pow (log (* x (log x))) 2))) |
(pow (log (log x)) 3) |
(pow (log (log x)) 2) |
(log (/ (- (pow (log x) 2) 0) (log x))) |
(pow (log (* x (log x))) 2) |
| Outputs |
|---|
(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 (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 (log.f64 x)))) |
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 x)))) |
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 (log.f64 x))) (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) |
(+.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x)))) |
(exp.f64 (log.f64 (log.f64 (log.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 (log.f64 x)))) (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (log.f64 x))))) #s(literal -1 binary64))) |
(exp.f64 (fma.f64 #s(literal 3 binary64) (log.f64 (log.f64 (log.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 (log.f64 x))))))) |
(exp.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 (log.f64 x))))) (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (log.f64 x)))))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (log.f64 (log.f64 x))) (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 (log.f64 x)))) (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (log.f64 x))))))) |
(exp.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 (log.f64 x)))) (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (log.f64 x))))) (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 (log.f64 x)))))) |
(exp.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 (log.f64 x)))) (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (log.f64 x))))))) |
(-.f64 (log.f64 (log.f64 x)) (/.f64 #s(literal 0 binary64) (log.f64 (log.f64 x)))) |
(-.f64 (log.f64 (log.f64 x)) (/.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (log.f64 (log.f64 x)))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log.f64 (log.f64 x)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) #s(literal 1 binary64)))) |
(-.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (log.f64 x))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)))) |
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(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 (log.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (log.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (log.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (log.f64 x))))))) |
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(/.f64 (fma.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 (log.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 (log.f64 x))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 (log.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log.f64 (log.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (log.f64 x))) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (log.f64 (-.f64 #s(literal 0 binary64) (log.f64 x))) (log.f64 (-.f64 #s(literal 0 binary64) (log.f64 x))) (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 0 binary64) (log.f64 x))))))) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64)) |
(*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 (log.f64 x))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))) |
(*.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal -2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 (log.f64 x)))) |
(*.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x)))) |
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal -3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 (log.f64 x))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 x)) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 (log.f64 x)))) |
(+.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 (*.f64 x (log.f64 x)))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 (*.f64 x (log.f64 x))))) #s(literal 1 binary64))) |
(exp.f64 (+.f64 (log.f64 (log.f64 (*.f64 x (log.f64 x)))) (log.f64 (log.f64 (*.f64 x (log.f64 x)))))) |
(fma.f64 (log.f64 x) (log.f64 (*.f64 x (log.f64 x))) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))) |
(fma.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 x) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 (log.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 (log.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 x)) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 x)) (-.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 (log.f64 x))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 (log.f64 x)))) (*.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 x)) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 (log.f64 x))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 x) (log.f64 (*.f64 x (log.f64 x)))) (-.f64 (pow.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))))))) |
(pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 (*.f64 x (log.f64 x))))) |
(*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 (*.f64 x (log.f64 x)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (log.f64 x)))) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (log.f64 x))))) |
| 1× | egg-herbie |
| 7 436× | accelerator-lowering-fma.f32 |
| 7 436× | accelerator-lowering-fma.f64 |
| 2 270× | *-lowering-*.f32 |
| 2 270× | *-lowering-*.f64 |
| 2 042× | --lowering--.f32 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 2604 |
| 1 | 111 | 2448 |
| 2 | 259 | 2412 |
| 3 | 507 | 2412 |
| 4 | 1220 | 2412 |
| 5 | 2549 | 2332 |
| 6 | 4713 | 2212 |
| 7 | 6431 | 2212 |
| 8 | 7649 | 2212 |
| 0 | 8003 | 2212 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(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))))) |
(pow (log (log x)) 2) |
(pow (log (log x)) 2) |
(pow (log (log x)) 2) |
(pow (log (log x)) 2) |
(pow (log (* -1 (log (/ 1 x)))) 2) |
(pow (log (* -1 (log (/ 1 x)))) 2) |
(pow (log (* -1 (log (/ 1 x)))) 2) |
(pow (log (* -1 (log (/ 1 x)))) 2) |
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) |
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) |
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) |
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) |
(- (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 x) (log (log x))) |
(+ (log x) (log (log x))) |
(+ (log x) (log (log x))) |
(+ (log x) (log (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)))) |
(pow (log x) 2) |
(pow (log x) 2) |
(pow (log x) 2) |
(pow (log x) 2) |
(pow (log (/ 1 x)) 2) |
(pow (log (/ 1 x)) 2) |
(pow (log (/ 1 x)) 2) |
(pow (log (/ 1 x)) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) |
(- (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)))))) |
(- (/ (pow (log x) 2) (+ (log x) (log (log x)))) (/ (pow (log (log x)) 2) (+ (log x) (log (log x))))) |
(- (/ (pow (log x) 2) (+ (log x) (log (log x)))) (/ (pow (log (log x)) 2) (+ (log x) (log (log x))))) |
(- (/ (pow (log x) 2) (+ (log x) (log (log x)))) (/ (pow (log (log x)) 2) (+ (log x) (log (log x))))) |
(- (/ (pow (log x) 2) (+ (log x) (log (log x)))) (/ (pow (log (log x)) 2) (+ (log x) (log (log x))))) |
(- (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) |
(- (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) |
(- (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) |
(- (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) |
(- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) |
(- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) |
(- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) |
(- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) |
(/ (pow (log x) 2) (+ (log x) (log (log x)))) |
(/ (pow (log x) 2) (+ (log x) (log (log x)))) |
(/ (pow (log x) 2) (+ (log x) (log (log x)))) |
(/ (pow (log x) 2) (+ (log x) (log (log x)))) |
(/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) |
(/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) |
(/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) |
(/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) |
(/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) |
(/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) |
(/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) |
(/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) |
(pow (log x) 2) |
(pow (log x) 2) |
(pow (log x) 2) |
(pow (log x) 2) |
(pow (log (/ 1 x)) 2) |
(pow (log (/ 1 x)) 2) |
(pow (log (/ 1 x)) 2) |
(pow (log (/ 1 x)) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) |
(/ (pow (log x) 2) (+ (log x) (log (log x)))) |
(/ (pow (log x) 2) (+ (log x) (log (log x)))) |
(/ (pow (log x) 2) (+ (log x) (log (log x)))) |
(/ (pow (log x) 2) (+ (log x) (log (log x)))) |
(/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) |
(/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) |
(/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) |
(/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) |
(/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) |
(/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) |
(/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) |
(/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) |
(/ (pow (log (log x)) 2) (+ (log x) (log (log x)))) |
(/ (pow (log (log x)) 2) (+ (log x) (log (log x)))) |
(/ (pow (log (log x)) 2) (+ (log x) (log (log x)))) |
(/ (pow (log (log x)) 2) (+ (log x) (log (log x)))) |
(/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) |
(/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) |
(/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) |
(/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) |
(/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) |
(/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) |
(/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) |
(/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) |
(- (/ (pow (log x) 2) (+ (log x) (log (log x)))) (/ (pow (log (log x)) 2) (+ (log x) (log (log x))))) |
(- (/ (pow (log x) 2) (+ (log x) (log (log x)))) (/ (pow (log (log x)) 2) (+ (log x) (log (log x))))) |
(- (/ (pow (log x) 2) (+ (log x) (log (log x)))) (/ (pow (log (log x)) 2) (+ (log x) (log (log x))))) |
(- (/ (pow (log x) 2) (+ (log x) (log (log x)))) (/ (pow (log (log x)) 2) (+ (log x) (log (log x))))) |
(- (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) |
(- (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) |
(- (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) |
(- (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) |
(- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) |
(- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) |
(- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) |
(- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) |
(pow (log (log x)) 3) |
(pow (log (log x)) 3) |
(pow (log (log x)) 3) |
(pow (log (log x)) 3) |
(pow (log (* -1 (log (/ 1 x)))) 3) |
(pow (log (* -1 (log (/ 1 x)))) 3) |
(pow (log (* -1 (log (/ 1 x)))) 3) |
(pow (log (* -1 (log (/ 1 x)))) 3) |
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 3) |
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 3) |
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 3) |
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 3) |
(pow (log (log x)) 2) |
(pow (log (log x)) 2) |
(pow (log (log x)) 2) |
(pow (log (log x)) 2) |
(pow (log (* -1 (log (/ 1 x)))) 2) |
(pow (log (* -1 (log (/ 1 x)))) 2) |
(pow (log (* -1 (log (/ 1 x)))) 2) |
(pow (log (* -1 (log (/ 1 x)))) 2) |
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) |
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) |
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) |
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) |
(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))))) |
(pow (+ (log x) (log (log x))) 2) |
(pow (+ (log x) (log (log x))) 2) |
(pow (+ (log x) (log (log x))) 2) |
(pow (+ (log x) (log (log x))) 2) |
(pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2) |
(pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2) |
(pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2) |
(pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2) |
(pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2) |
(pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2) |
(pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2) |
(pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2) |
| Outputs |
|---|
(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 0 binary64) x)))) |
(log (+ (log -1) (* -1 (log (/ -1 x))))) |
(log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))) |
(log (+ (log -1) (* -1 (log (/ -1 x))))) |
(log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))) |
(log (+ (log -1) (* -1 (log (/ -1 x))))) |
(log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))) |
(pow (log (log x)) 2) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow (log (log x)) 2) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow (log (log x)) 2) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow (log (log x)) 2) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow (log (* -1 (log (/ 1 x)))) 2) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow (log (* -1 (log (/ 1 x)))) 2) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow (log (* -1 (log (/ 1 x)))) 2) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow (log (* -1 (log (/ 1 x)))) 2) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) |
(pow.f64 (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64)) |
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) |
(pow.f64 (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64)) |
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) |
(pow.f64 (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64)) |
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) |
(pow.f64 (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64)) |
(- (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 0 binary64) x))) (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 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 0 binary64) x))) (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 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 0 binary64) x))) (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 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 0 binary64) x))) (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 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 0 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) 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))) |
(+ (log x) (log (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 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) x))))) |
(* x (log x)) |
(fma.f64 x (log.f64 x) #s(literal 0 binary64)) |
(* x (log x)) |
(fma.f64 x (log.f64 x) #s(literal 0 binary64)) |
(* x (log x)) |
(fma.f64 x (log.f64 x) #s(literal 0 binary64)) |
(* x (log x)) |
(fma.f64 x (log.f64 x) #s(literal 0 binary64)) |
(* -1 (* x (log (/ 1 x)))) |
(fma.f64 x (log.f64 x) #s(literal 0 binary64)) |
(* -1 (* x (log (/ 1 x)))) |
(fma.f64 x (log.f64 x) #s(literal 0 binary64)) |
(* -1 (* x (log (/ 1 x)))) |
(fma.f64 x (log.f64 x) #s(literal 0 binary64)) |
(* -1 (* x (log (/ 1 x)))) |
(fma.f64 x (log.f64 x) #s(literal 0 binary64)) |
(* x (+ (log -1) (* -1 (log (/ -1 x))))) |
(fma.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 0 binary64)) |
(* x (+ (log -1) (* -1 (log (/ -1 x))))) |
(fma.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 0 binary64)) |
(* x (+ (log -1) (* -1 (log (/ -1 x))))) |
(fma.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 0 binary64)) |
(* x (+ (log -1) (* -1 (log (/ -1 x))))) |
(fma.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 0 binary64)) |
(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 0 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
(pow (log x) 2) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(pow (log x) 2) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(pow (log x) 2) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(pow (log x) 2) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(pow (log (/ 1 x)) 2) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(pow (log (/ 1 x)) 2) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(pow (log (/ 1 x)) 2) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(pow (log (/ 1 x)) 2) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) |
(pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 2 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) |
(pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 2 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) |
(pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 2 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) |
(pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 2 binary64)) |
(- (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))) |
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(/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) |
(/.f64 (pow.f64 (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64)) (+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) x)))))) |
(- (/ (pow (log x) 2) (+ (log x) (log (log x)))) (/ (pow (log (log x)) 2) (+ (log x) (log (log x))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (log.f64 x) (log.f64 (log.f64 x)))) (-.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(- (/ (pow (log x) 2) (+ (log x) (log (log x)))) (/ (pow (log (log x)) 2) (+ (log x) (log (log x))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (log.f64 x) (log.f64 (log.f64 x)))) (-.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(- (/ (pow (log x) 2) (+ (log x) (log (log x)))) (/ (pow (log (log x)) 2) (+ (log x) (log (log x))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (log.f64 x) (log.f64 (log.f64 x)))) (-.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(- (/ (pow (log x) 2) (+ (log x) (log (log x)))) (/ (pow (log (log x)) 2) (+ (log x) (log (log x))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (log.f64 x) (log.f64 (log.f64 x)))) (-.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(- (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (log.f64 x) (log.f64 (log.f64 x)))) (-.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(- (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (log.f64 x) (log.f64 (log.f64 x)))) (-.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(- (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (log.f64 x) (log.f64 (log.f64 x)))) (-.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(- (/ (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (log.f64 x) (log.f64 (log.f64 x)))) (-.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 2 binary64)) (+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) x)))))) (/.f64 (pow.f64 (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64)) (+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) x))))))) |
(- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 2 binary64)) (+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) x)))))) (/.f64 (pow.f64 (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64)) (+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) x))))))) |
(- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 2 binary64)) (+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) x)))))) (/.f64 (pow.f64 (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64)) (+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) x))))))) |
(- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))) (/ (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 2 binary64)) (+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) x)))))) (/.f64 (pow.f64 (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64)) (+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) x))))))) |
(pow (log (log x)) 3) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) |
(pow (log (log x)) 3) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) |
(pow (log (log x)) 3) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) |
(pow (log (log x)) 3) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) |
(pow (log (* -1 (log (/ 1 x)))) 3) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) |
(pow (log (* -1 (log (/ 1 x)))) 3) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) |
(pow (log (* -1 (log (/ 1 x)))) 3) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) |
(pow (log (* -1 (log (/ 1 x)))) 3) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) |
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 3) |
(pow.f64 (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 3 binary64)) |
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 3) |
(pow.f64 (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 3 binary64)) |
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 3) |
(pow.f64 (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 3 binary64)) |
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 3) |
(pow.f64 (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 3 binary64)) |
(pow (log (log x)) 2) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow (log (log x)) 2) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow (log (log x)) 2) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow (log (log x)) 2) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow (log (* -1 (log (/ 1 x)))) 2) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow (log (* -1 (log (/ 1 x)))) 2) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow (log (* -1 (log (/ 1 x)))) 2) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow (log (* -1 (log (/ 1 x)))) 2) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) |
(pow.f64 (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64)) |
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) |
(pow.f64 (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64)) |
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) |
(pow.f64 (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64)) |
(pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) |
(pow.f64 (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64)) |
(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 0 binary64) x)))) |
(log (+ (log -1) (* -1 (log (/ -1 x))))) |
(log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))) |
(log (+ (log -1) (* -1 (log (/ -1 x))))) |
(log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))) |
(log (+ (log -1) (* -1 (log (/ -1 x))))) |
(log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))) |
(pow (+ (log x) (log (log x))) 2) |
(pow.f64 (+.f64 (log.f64 x) (log.f64 (log.f64 x))) #s(literal 2 binary64)) |
(pow (+ (log x) (log (log x))) 2) |
(pow.f64 (+.f64 (log.f64 x) (log.f64 (log.f64 x))) #s(literal 2 binary64)) |
(pow (+ (log x) (log (log x))) 2) |
(pow.f64 (+.f64 (log.f64 x) (log.f64 (log.f64 x))) #s(literal 2 binary64)) |
(pow (+ (log x) (log (log x))) 2) |
(pow.f64 (+.f64 (log.f64 x) (log.f64 (log.f64 x))) #s(literal 2 binary64)) |
(pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2) |
(pow.f64 (+.f64 (log.f64 x) (log.f64 (log.f64 x))) #s(literal 2 binary64)) |
(pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2) |
(pow.f64 (+.f64 (log.f64 x) (log.f64 (log.f64 x))) #s(literal 2 binary64)) |
(pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2) |
(pow.f64 (+.f64 (log.f64 x) (log.f64 (log.f64 x))) #s(literal 2 binary64)) |
(pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2) |
(pow.f64 (+.f64 (log.f64 x) (log.f64 (log.f64 x))) #s(literal 2 binary64)) |
(pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2) |
(pow.f64 (+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) x))))) #s(literal 2 binary64)) |
(pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2) |
(pow.f64 (+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) x))))) #s(literal 2 binary64)) |
(pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2) |
(pow.f64 (+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) x))))) #s(literal 2 binary64)) |
(pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2) |
(pow.f64 (+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) x))))) #s(literal 2 binary64)) |
Compiled 132 573 to 7 762 computations (94.1% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4 098 | 1 | 4 099 |
| Fresh | 15 | 0 | 15 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 4 117 | 3 | 4 120 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.6% | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| ▶ | 100.0% | (log.f64 (/.f64 x (log.f64 x))) |
| ✓ | 25.0% | (log.f64 (*.f64 x (log.f64 x))) |
Compiled 19 to 12 computations (36.8% 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 (/.f64 x (log.f64 x))) |
| ✓ | accuracy | 100.0% | (log.f64 x) |
| ✓ | accuracy | 99.6% | (/.f64 x (log.f64 x)) |
| 19.0ms | 256× | 0 | valid |
Compiled 14 to 6 computations (57.1% saved)
ival-log: 6.0ms (74.8% of total)ival-div: 2.0ms (24.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 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 | |
|---|---|---|---|---|
| 61.0ms | x | @ | -inf | (log (/ x (log x))) |
| 20.0ms | x | @ | inf | (log (/ x (log x))) |
| 16.0ms | x | @ | 0 | (log (/ x (log x))) |
| 0.0ms | x | @ | 0 | (/ x (log x)) |
| 0.0ms | x | @ | -inf | (/ x (log x)) |
| 1× | batch-egg-rewrite |
| 3 778× | *-lowering-*.f32 |
| 3 778× | *-lowering-*.f64 |
| 3 560× | accelerator-lowering-fma.f32 |
| 3 560× | accelerator-lowering-fma.f64 |
| 2 150× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 11 |
| 1 | 14 | 11 |
| 2 | 74 | 11 |
| 3 | 406 | 11 |
| 4 | 3205 | 11 |
| 0 | 10783 | 11 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (/ x (log x))) |
(/ x (log x)) |
(log x) |
| Outputs |
|---|
(log.f64 (*.f64 x (log.f64 x))) |
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(*.f64 (-.f64 #s(literal 0 binary64) x) (log.f64 x)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (log.f64 x))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (log.f64 x))) |
(*.f64 (*.f64 x (log.f64 x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (log.f64 x)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) 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)) (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (log.f64 x))) |
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (neg.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) |
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (/.f64 (sqrt.f64 (*.f64 x (log.f64 x))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (/.f64 (sqrt.f64 (*.f64 x (log.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (/.f64 (sqrt.f64 (*.f64 x (log.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) x)) |
(*.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) x)) |
(*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (/.f64 x (pow.f64 (log.f64 x) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) x)) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 (*.f64 x (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (fma.f64 x x #s(literal 0 binary64))) |
(*.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) x) |
(*.f64 (/.f64 x (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 x)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 x (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (log.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 x (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(*.f64 (pow.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1 binary64)) x) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 x))) |
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 x (log.f64 x))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) #s(literal -1 binary64)) (sqrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 x (log.f64 x)))) #s(literal -1 binary64)) (sqrt.f64 (*.f64 x (log.f64 x)))) |
(*.f64 (pow.f64 (/.f64 x (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (log.f64 x) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (/.f64 x (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 x))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 x (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (log.f64 x) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 x))) |
(*.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(*.f64 (pow.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64)) x) |
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 x (log.f64 x))) |
(*.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (log.f64 x)) |
(*.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1 binary64) (log.f64 x))) |
(*.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (exp.f64 (neg.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))) |
(*.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))) (exp.f64 (neg.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))))) |
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64)))) (*.f64 x (log.f64 x))) |
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (exp.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) |
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))))) (exp.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))))) |
(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) (log.f64 x)) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) (log.f64 x)) |
(+.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) (log.f64 (pow.f64 x #s(literal -1/2 binary64)))) |
(+.f64 (log.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64))) |
(exp.f64 (log.f64 (log.f64 x))) |
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (log.f64 x))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64))) |
(-.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) (log.f64 x)) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (log.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (log.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 x)) |
(-.f64 (log.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64))) |
(-.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) (log.f64 x)) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) (log.f64 x)) |
(-.f64 (log.f64 (+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (log.f64 (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64))) |
(fma.f64 (log.f64 x) #s(literal 1 binary64) #s(literal 0 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 #s(literal -1 binary64) (log.f64 x) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (log.f64 x) #s(literal 0 binary64)) |
(neg.f64 (log.f64 x)) |
(/.f64 (log.f64 x) #s(literal 1 binary64)) |
(/.f64 (log.f64 x) #s(literal -1 binary64)) |
(/.f64 (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 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 x))) |
(/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 x)) |
(/.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) |
(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 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (log.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(*.f64 (log.f64 x) #s(literal 1 binary64)) |
(*.f64 (log.f64 x) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (log.f64 x)) |
(*.f64 #s(literal -1 binary64) (log.f64 x)) |
(*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 x))) |
(*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 x))) |
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (log.f64 x)) |
| 1× | egg-herbie |
| 352× | accelerator-lowering-fma.f32 |
| 352× | accelerator-lowering-fma.f64 |
| 256× | *-lowering-*.f32 |
| 256× | *-lowering-*.f64 |
| 136× | +-lowering-+.f64 |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 244 |
| 1 | 42 | 220 |
| 2 | 65 | 220 |
| 3 | 150 | 220 |
| 4 | 321 | 220 |
| 5 | 501 | 220 |
| 6 | 672 | 204 |
| 7 | 842 | 200 |
| 8 | 881 | 200 |
| 9 | 892 | 200 |
| 10 | 893 | 200 |
| 0 | 893 | 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 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 0 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 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 0 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 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 0 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 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 0 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 0 binary64) x)))) |
(/ x (+ (log -1) (* -1 (log (/ -1 x))))) |
(/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/ x (+ (log -1) (* -1 (log (/ -1 x))))) |
(/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/ x (+ (log -1) (* -1 (log (/ -1 x))))) |
(/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 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 0 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
Compiled 16 053 to 1 670 computations (89.6% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 703 | 1 | 704 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 1 | 2 |
| Total | 704 | 3 | 707 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 29.5% | (log.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x)))) |
| ✓ | 100.0% | (log.f64 (/.f64 x (log.f64 x))) |
| ✓ | 25.0% | (log.f64 (*.f64 x (log.f64 x))) |
Compiled 28 to 16 computations (42.9% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (log.f64 x) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (log.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x)))) |
| ✓ | cost-diff | 1536 | (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x))) |
| 6 046× | *-lowering-*.f32 |
| 6 046× | *-lowering-*.f64 |
| 2 806× | /-lowering-/.f32 |
| 2 806× | /-lowering-/.f64 |
| 2 510× | accelerator-lowering-fma.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 43 |
| 1 | 26 | 37 |
| 2 | 70 | 29 |
| 3 | 165 | 25 |
| 4 | 276 | 25 |
| 5 | 1189 | 25 |
| 6 | 2568 | 25 |
| 7 | 3043 | 25 |
| 8 | 4283 | 25 |
| 9 | 7388 | 25 |
| 0 | 8211 | 25 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (/ (* x (+ (* x x) 0)) (* (+ (* x x) 0) (log x)))) |
(/ (* x (+ (* x x) 0)) (* (+ (* x x) 0) (log x))) |
(* x (+ (* x x) 0)) |
x |
(+ (* x x) 0) |
0 |
(* (+ (* x x) 0) (log x)) |
(log x) |
| Outputs |
|---|
(log (/ (* x (+ (* x x) 0)) (* (+ (* x x) 0) (log x)))) |
(log.f64 (/.f64 x (log.f64 x))) |
(/ (* x (+ (* x x) 0)) (* (+ (* x x) 0) (log x))) |
(/.f64 x (log.f64 x)) |
(* x (+ (* x x) 0)) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
x |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(* (+ (* x x) 0) (log x)) |
(fma.f64 x (fma.f64 x (log.f64 x) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(log x) |
(log.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (log.f64 x) |
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 x x #s(literal 0 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x)) |
| ✓ | accuracy | 33.1% | (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x))) |
| 23.0ms | 256× | 0 | valid |
Compiled 52 to 11 computations (78.8% saved)
ival-log: 6.0ms (43.5% of total)ival-mult: 5.0ms (36.3% of total)ival-div: 1.0ms (7.3% of total)ival-add: 1.0ms (7.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (* x (+ (* x x) 0)) (* (+ (* x x) 0) (log x)))> |
#<alt (log (/ (* x (+ (* x x) 0)) (* (+ (* x x) 0) (log x))))> |
#<alt (+ (* x x) 0)> |
#<alt (log x)> |
#<alt (* (+ (* x x) 0) (log x))> |
#<alt (* x (+ (* x x) 0))> |
| Outputs |
|---|
#<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) (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 (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 (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 (* (pow x 2) (log x))> |
#<alt (* (pow x 2) (log x))> |
#<alt (* (pow x 2) (log x))> |
#<alt (* (pow x 2) (log x))> |
#<alt (* -1 (* (pow x 2) (log (/ 1 x))))> |
#<alt (* -1 (* (pow x 2) (log (/ 1 x))))> |
#<alt (* -1 (* (pow x 2) (log (/ 1 x))))> |
#<alt (* -1 (* (pow x 2) (log (/ 1 x))))> |
#<alt (* (pow x 2) (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (* (pow x 2) (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (* (pow x 2) (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (* (pow x 2) (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<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)> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (* x (+ (* x x) 0)) |
| 0.0ms | x | @ | -inf | (* x (+ (* x x) 0)) |
| 0.0ms | x | @ | inf | (* (+ (* x x) 0) (log x)) |
| 0.0ms | x | @ | 0 | (+ (* x x) 0) |
| 0.0ms | x | @ | -inf | (* (+ (* x x) 0) (log x)) |
| 1× | batch-egg-rewrite |
| 2 772× | accelerator-lowering-fma.f32 |
| 2 772× | accelerator-lowering-fma.f64 |
| 2 434× | *-lowering-*.f32 |
| 2 434× | *-lowering-*.f64 |
| 2 186× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 41 |
| 1 | 58 | 35 |
| 2 | 452 | 23 |
| 3 | 5657 | 23 |
| 0 | 8073 | 23 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (+ (* x x) 0)) (* (+ (* x x) 0) (log x))) |
(log (/ (* x (+ (* x x) 0)) (* (+ (* x x) 0) (log x)))) |
(+ (* x x) 0) |
(log x) |
(* (+ (* x x) 0) (log x)) |
(* x (+ (* x x) 0)) |
| Outputs |
|---|
(+.f64 (/.f64 x (log.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x) #s(literal 0 binary64))) #s(literal 0 binary64))) |
(+.f64 (/.f64 x (log.f64 x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x) #s(literal 0 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 x (log.f64 x))) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x) #s(literal 0 binary64)))) (/.f64 x (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 x) x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 x (log.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x) #s(literal 0 binary64)))) (neg.f64 (/.f64 x (log.f64 x)))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x) #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x) #s(literal 0 binary64))))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (log.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x) #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (log.f64 x))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x) #s(literal 0 binary64))))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x) #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x) #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x) #s(literal 0 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x) #s(literal 0 binary64))))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x) #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x) #s(literal 0 binary64))))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (log.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x) #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (log.f64 x))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x) #s(literal 0 binary64))))) |
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x) #s(literal 0 binary64))) (/.f64 x (log.f64 x))) |
(fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x) #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x) #s(literal 0 binary64))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x) #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x) #s(literal 0 binary64))))) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x)) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x) #s(literal 0 binary64))) #s(literal 0 binary64))) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x)) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x) #s(literal 0 binary64))))) |
(fma.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (log.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x) #s(literal 0 binary64))) #s(literal 0 binary64))) |
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(fma.f64 (/.f64 (fma.f64 x (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (fma.f64 x (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) x) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) x) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (*.f64 (fma.f64 x (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (-.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (/.f64 (fma.f64 x (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) x) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -3/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) |
(*.f64 x (fma.f64 x x #s(literal 0 binary64))) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) x) |
(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) x)) |
(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 x #s(literal -6 binary64))) |
(*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(*.f64 (fma.f64 x (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (/.f64 x (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
| 1× | egg-herbie |
| 888× | accelerator-lowering-fma.f32 |
| 888× | accelerator-lowering-fma.f64 |
| 632× | *-lowering-*.f32 |
| 632× | *-lowering-*.f64 |
| 306× | associate-*r* |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 412 |
| 1 | 66 | 384 |
| 2 | 130 | 384 |
| 3 | 288 | 384 |
| 4 | 543 | 384 |
| 5 | 1039 | 384 |
| 6 | 1755 | 364 |
| 7 | 2126 | 360 |
| 8 | 2167 | 360 |
| 9 | 2174 | 360 |
| 10 | 2175 | 360 |
| 11 | 2175 | 360 |
| 0 | 2175 | 360 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ 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 (/ 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)))) |
(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) |
(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)))) |
(* (pow x 2) (log x)) |
(* (pow x 2) (log x)) |
(* (pow x 2) (log x)) |
(* (pow x 2) (log x)) |
(* -1 (* (pow x 2) (log (/ 1 x)))) |
(* -1 (* (pow x 2) (log (/ 1 x)))) |
(* -1 (* (pow x 2) (log (/ 1 x)))) |
(* -1 (* (pow x 2) (log (/ 1 x)))) |
(* (pow x 2) (+ (log -1) (* -1 (log (/ -1 x))))) |
(* (pow x 2) (+ (log -1) (* -1 (log (/ -1 x))))) |
(* (pow x 2) (+ (log -1) (* -1 (log (/ -1 x))))) |
(* (pow x 2) (+ (log -1) (* -1 (log (/ -1 x))))) |
(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 |
|---|
(/ 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 0 binary64) x)))) |
(/ x (+ (log -1) (* -1 (log (/ -1 x))))) |
(/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/ x (+ (log -1) (* -1 (log (/ -1 x))))) |
(/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/ x (+ (log -1) (* -1 (log (/ -1 x))))) |
(/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) 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 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 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) x))))) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(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 0 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
(* (pow x 2) (log x)) |
(fma.f64 (log.f64 x) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow x 2) (log x)) |
(fma.f64 (log.f64 x) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow x 2) (log x)) |
(fma.f64 (log.f64 x) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow x 2) (log x)) |
(fma.f64 (log.f64 x) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow x 2) (log (/ 1 x)))) |
(fma.f64 (log.f64 x) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow x 2) (log (/ 1 x)))) |
(fma.f64 (log.f64 x) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow x 2) (log (/ 1 x)))) |
(fma.f64 (log.f64 x) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow x 2) (log (/ 1 x)))) |
(fma.f64 (log.f64 x) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow x 2) (+ (log -1) (* -1 (log (/ -1 x))))) |
(fma.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow x 2) (+ (log -1) (* -1 (log (/ -1 x))))) |
(fma.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow x 2) (+ (log -1) (* -1 (log (/ -1 x))))) |
(fma.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow x 2) (+ (log -1) (* -1 (log (/ -1 x))))) |
(fma.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(pow x 3) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(pow x 3) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(pow x 3) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(pow x 3) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(pow x 3) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(pow x 3) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(pow x 3) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(pow x 3) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(pow x 3) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(pow x 3) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(pow x 3) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(pow x 3) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
Compiled 31 870 to 3 058 computations (90.4% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 083 | 1 | 1 084 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 1 084 | 3 | 1 087 |
| Status | Accuracy | Program |
|---|---|---|
| 29.5% | (log.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 x x) (log.f64 x)))) | |
| ✓ | 100.0% | (log.f64 (/.f64 x (log.f64 x))) |
| ✓ | 25.0% | (log.f64 (*.f64 x (log.f64 x))) |
Compiled 652 to 129 computations (80.2% saved)
| Inputs |
|---|
(log.f64 (*.f64 x (log.f64 x))) |
(log.f64 (/.f64 x (log.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (log.f64 x))))) |
(log.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 x x) (log.f64 x)))) |
(log.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (log.f64 x)))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(-.f64 (exp.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))) |
(-.f64 (log.f64 x) (exp.f64 (log.f64 (log.f64 (log.f64 x))))) |
(-.f64 (log.f64 x) (log.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x)))) |
(-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x)) (log.f64 (log.f64 x))) |
(-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64))) (log.f64 (log.f64 x))) |
(-.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 0 binary64))))) (log.f64 (log.f64 x))) |
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))) |
(/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x))))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) (/.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (log.f64 (*.f64 x (log.f64 x))) (*.f64 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (*.f64 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x (log.f64 x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (log.f64 (*.f64 x (log.f64 x))) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (*.f64 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x))))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))) (/.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (log.f64 x))))))) |
(/.f64 (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))))))) |
| Outputs |
|---|
(log.f64 (/.f64 x (log.f64 x))) |
3 calls:
| 8.0ms | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| 7.0ms | x |
| 7.0ms | (log.f64 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)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(log.f64 (*.f64 x (log.f64 x))) |
| Outputs |
|---|
(log.f64 (*.f64 x (log.f64 x))) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 25.0% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 7 | 10 |
| 1× | saturated |
| Inputs |
|---|
(log.f64 (/.f64 x (log.f64 x))) |
(log.f64 (*.f64 x (log.f64 x))) |
| Outputs |
|---|
(log.f64 (/.f64 x (log.f64 x))) |
(log.f64 (*.f64 x (log.f64 x))) |
| 5 182× | accelerator-lowering-fma.f32 |
| 5 182× | accelerator-lowering-fma.f64 |
| 4 954× | accelerator-lowering-fma.f32 |
| 4 954× | accelerator-lowering-fma.f64 |
| 3 080× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 10 |
| 1 | 21 | 10 |
| 2 | 147 | 10 |
| 3 | 1394 | 10 |
| 0 | 9728 | 10 |
| 0 | 27 | 160 |
| 1 | 202 | 112 |
| 2 | 2176 | 100 |
| 0 | 9571 | 100 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 19 to 12 computations (36.8% saved)
Compiled 36 to 20 computations (44.4% saved)
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