
Time bar (total: 3.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 50% | 0% | 0% | 50% | 0% | 2 |
| 50% | 25% | 25% | 0% | 0% | 50% | 0% | 3 |
| 66.7% | 25% | 12.5% | 0% | 0% | 62.5% | 0% | 4 |
| 80% | 25% | 6.2% | 0% | 0% | 68.7% | 0% | 5 |
| 88.9% | 25% | 3.1% | 0% | 0% | 71.8% | 0% | 6 |
| 94.1% | 25% | 1.6% | 0% | 0% | 73.4% | 0% | 7 |
| 97% | 25% | 0.8% | 0% | 0% | 74.2% | 0% | 8 |
| 98.5% | 25% | 0.4% | 0% | 0% | 74.6% | 0% | 9 |
| 99.2% | 25% | 0.2% | 0% | 0% | 74.8% | 0% | 10 |
| 99.6% | 25% | 0.1% | 0% | 0% | 74.9% | 0% | 11 |
| 99.8% | 25% | 0% | 0% | 0% | 74.9% | 0% | 12 |
Compiled 8 to 6 computations (25% saved)
| 441.0ms | 8 256× | 0 | valid |
| 0.0ms | 11× | 0 | invalid |
ival-log: 205.0ms (76.4% of total)ival-sub: 54.0ms (20.1% of total)ival-true: 6.0ms (2.2% of total)ival-assert: 3.0ms (1.1% of total)| 1× | egg-herbie |
| 80× | accelerator-lowering-fma.f32 |
| 80× | accelerator-lowering-fma.f64 |
| 48× | *-lowering-*.f32 |
| 48× | *-lowering-*.f64 |
| 34× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 1 | 14 | 17 |
| 2 | 33 | 16 |
| 3 | 61 | 16 |
| 4 | 106 | 16 |
| 5 | 152 | 16 |
| 6 | 169 | 16 |
| 7 | 177 | 16 |
| 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))) |
| 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 |
| 25.0ms | 512× | 0 | valid |
Compiled 42 to 20 computations (52.4% saved)
ival-log: 12.0ms (79.4% of total)ival-sub: 2.0ms (13.2% 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))) |
| 14.0ms | 256× | 0 | valid |
Compiled 14 to 6 computations (57.1% saved)
ival-log: 8.0ms (85.8% of total)ival-sub: 1.0ms (10.7% 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 | |
|---|---|---|---|---|
| 51.0ms | x | @ | -inf | (- (log x) (log (log x))) |
| 48.0ms | x | @ | 0 | (- (log x) (log (log x))) |
| 22.0ms | x | @ | inf | (- (log x) (log (log x))) |
| 0.0ms | x | @ | 0 | (log x) |
| 0.0ms | x | @ | inf | (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 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x)))) |
(+.f64 (log.f64 (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 (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)) (neg.f64 (log.f64 (*.f64 x (log.f64 x)))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (*.f64 x (log.f64 x))))) |
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.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) (neg.f64 (log.f64 (*.f64 x (log.f64 x))))) (neg.f64 (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)))) (neg.f64 (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)))) |
(-.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)))) |
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(*.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) (neg.f64 (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) (neg.f64 (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 (neg.f64 (log.f64 x))) |
(/.f64 (log.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (log.f64 x)) |
(/.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (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) (neg.f64 (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 (neg.f64 (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 9 031 to 694 computations (92.3% saved)
20 alts after pruning (19 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 304 | 19 | 323 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 304 | 20 | 324 |
| Status | Accuracy | Program |
|---|---|---|
| 98.2% | (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.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)))) (neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) | |
| ▶ | 98.2% | (/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (neg.f64 (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) |
| 98.3% | (/.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))))) | |
| 99.2% | (/.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (neg.f64 (pow.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))))))) | |
| 24.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (log.f64 x))))) | |
| 98.4% | (-.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 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))))))) | |
| 97.8% | (-.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 (/.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)))))))) (/.f64 (/.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))))))))) | |
| 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))) | |
| 99.1% | (-.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) (*.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))))) |
| ▶ | 99.6% | (-.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))))) |
| 99.6% | (-.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)))) | |
| ▶ | 99.6% | (-.f64 (log.f64 x) (log.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64))))) |
| ✓ | 99.6% | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| 98.2% | (-.f64 (exp.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))) | |
| 97.8% | (*.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 #s(literal 1 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))))))))) | |
| ▶ | 24.6% | (log.f64 (*.f64 x (log.f64 x))) |
Compiled 1 225 to 480 computations (60.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x (log.f64 x)))) |
| ✓ | cost-diff | 13696 | (-.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (neg.f64 (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 20032 | (/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (neg.f64 (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) |
| ✓ | 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 #s(literal 1 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 | 26752 | (*.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)))) |
| ✓ | cost-diff | 0 | (log.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 (log.f64 x) (log.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64))))) |
| ✓ | cost-diff | 5824 | (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 8000 | (*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (log.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 x (log.f64 x)) |
| ✓ | cost-diff | 0 | (log.f64 (*.f64 x (log.f64 x))) |
| ✓ | cost-diff | 0 | (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (log.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))))) |
| ✓ | cost-diff | 20288 | (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))) |
| 4 078× | *-lowering-*.f32 |
| 4 078× | *-lowering-*.f64 |
| 2 878× | accelerator-lowering-fma.f32 |
| 2 878× | accelerator-lowering-fma.f64 |
| 1 594× | cube-prod |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 299 |
| 1 | 87 | 269 |
| 2 | 279 | 214 |
| 3 | 1394 | 204 |
| 4 | 3618 | 204 |
| 5 | 5100 | 204 |
| 6 | 6523 | 204 |
| 7 | 7410 | 204 |
| 0 | 8115 | 204 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (log x) (* (pow (log (log x)) 2) (/ 1 (log (log x))))) |
(log x) |
x |
(* (pow (log (log x)) 2) (/ 1 (log (log x)))) |
(pow (log (log x)) 2) |
(log (log x)) |
2 |
(/ 1 (log (log x))) |
1 |
(log (* x (log x))) |
(* x (log x)) |
x |
(log x) |
(- (log x) (log (* (pow (log x) 1/2) (pow (log x) 1/2)))) |
(log x) |
x |
(log (* (pow (log x) 1/2) (pow (log x) 1/2))) |
(* (pow (log x) 1/2) (pow (log x) 1/2)) |
(pow (log x) 1/2) |
1/2 |
(- (log x) (* (pow (log (log x)) 3) (/ 1 (+ (pow (log (log x)) 2) 0)))) |
(log x) |
x |
(* (pow (log (log x)) 3) (/ 1 (+ (pow (log (log x)) 2) 0))) |
(pow (log (log x)) 3) |
(log (log x)) |
3 |
(/ 1 (+ (pow (log (log x)) 2) 0)) |
1 |
(+ (pow (log (log x)) 2) 0) |
(pow (log (log x)) 2) |
2 |
0 |
(/ (- (* (neg (pow (log x) 2)) (log (* x (log x)))) (* (neg (log (* x (log x)))) (pow (log (log x)) 2))) (neg (pow (log (* x (log x))) 2))) |
(- (* (neg (pow (log x) 2)) (log (* x (log x)))) (* (neg (log (* x (log x)))) (pow (log (log x)) 2))) |
(* (neg (pow (log x) 2)) (log (* x (log x)))) |
(neg (pow (log x) 2)) |
(pow (log x) 2) |
(log x) |
x |
2 |
(log (* x (log x))) |
(* x (log x)) |
(* (neg (log (* x (log x)))) (pow (log (log x)) 2)) |
(neg (log (* x (log x)))) |
(pow (log (log x)) 2) |
(log (log x)) |
(neg (pow (log (* x (log x))) 2)) |
(pow (log (* x (log x))) 2) |
| Outputs |
|---|
(- (log x) (* (pow (log (log x)) 2) (/ 1 (log (log x))))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(log x) |
(log.f64 x) |
x |
(* (pow (log (log x)) 2) (/ 1 (log (log x)))) |
(log.f64 (log.f64 x)) |
(pow (log (log x)) 2) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) |
(log (log x)) |
(log.f64 (log.f64 x)) |
2 |
#s(literal 2 binary64) |
(/ 1 (log (log x))) |
(/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) |
1 |
#s(literal 1 binary64) |
(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) |
(- (log x) (log (* (pow (log x) 1/2) (pow (log x) 1/2)))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(log x) |
(log.f64 x) |
x |
(log (* (pow (log x) 1/2) (pow (log x) 1/2))) |
(log.f64 (log.f64 x)) |
(* (pow (log x) 1/2) (pow (log x) 1/2)) |
(log.f64 x) |
(pow (log x) 1/2) |
(sqrt.f64 (log.f64 x)) |
1/2 |
#s(literal 1/2 binary64) |
(- (log x) (* (pow (log (log x)) 3) (/ 1 (+ (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) (/ 1 (+ (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) |
(/ 1 (+ (pow (log (log x)) 2) 0)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) |
1 |
#s(literal 1 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) |
(/ (- (* (neg (pow (log x) 2)) (log (* x (log x)))) (* (neg (log (* x (log x)))) (pow (log (log x)) 2))) (neg (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 (*.f64 x (log.f64 x)))) |
(- (* (neg (pow (log x) 2)) (log (* x (log x)))) (* (neg (log (* x (log x)))) (pow (log (log x)) 2))) |
(*.f64 (log.f64 (*.f64 x (log.f64 x))) (-.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(* (neg (pow (log x) 2)) (log (* x (log x)))) |
(*.f64 (log.f64 (*.f64 x (log.f64 x))) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(neg (pow (log x) 2)) |
(neg.f64 (pow.f64 (log.f64 x) #s(literal 2 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 (*.f64 x (log.f64 x))) |
(* x (log x)) |
(*.f64 x (log.f64 x)) |
(* (neg (log (* x (log x)))) (pow (log (log x)) 2)) |
(neg.f64 (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x))))) |
(neg (log (* x (log x)))) |
(neg.f64 (log.f64 (*.f64 x (log.f64 x)))) |
(pow (log (log x)) 2) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) |
(log (log x)) |
(log.f64 (log.f64 x)) |
(neg (pow (log (* x (log x))) 2)) |
(neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) |
(pow (log (* x (log x))) 2) |
(pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.2% | (log.f64 (*.f64 x (log.f64 x))) |
| ✓ | accuracy | 99.2% | (pow.f64 (log.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 x) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64))) |
| ✓ | accuracy | 99.5% | (*.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)))) |
| ✓ | 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)) |
| ✓ | accuracy | 99.9% | (log.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 99.8% | (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.6% | (-.f64 (log.f64 x) (log.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64))))) |
| ✓ | accuracy | 99.3% | (*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (log.f64 x) |
| ✓ | accuracy | 99.5% | (*.f64 x (log.f64 x)) |
| ✓ | accuracy | 99.2% | (log.f64 (*.f64 x (log.f64 x))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) |
| ✓ | accuracy | 99.6% | (-.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))))) |
| ✓ | accuracy | 99.4% | (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))) |
| ✓ | accuracy | 99.2% | (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) |
| 69.0ms | 256× | 0 | valid |
Compiled 297 to 34 computations (88.6% saved)
ival-log: 16.0ms (31.4% of total)ival-mult: 10.0ms (19.6% of total)ival-pow2: 7.0ms (13.7% of total)ival-div: 5.0ms (9.8% of total)ival-sub: 4.0ms (7.9% of total)ival-neg: 3.0ms (5.9% of total)ival-sqrt: 2.0ms (3.9% of total)ival-pow: 2.0ms (3.9% of total)ival-add: 1.0ms (2% of total)exact: 1.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (pow (log (log x)) 2) (/ 1 (log (log x))))> |
#<alt (- (log x) (* (pow (log (log x)) 2) (/ 1 (log (log x)))))> |
#<alt (log x)> |
#<alt (pow (log (log x)) 2)> |
#<alt (log (* x (log x)))> |
#<alt (* x (log x))> |
#<alt (* (pow (log x) 1/2) (pow (log x) 1/2))> |
#<alt (pow (log x) 1/2)> |
#<alt (- (log x) (log (* (pow (log x) 1/2) (pow (log x) 1/2))))> |
#<alt (* (pow (log (log x)) 3) (/ 1 (+ (pow (log (log x)) 2) 0)))> |
#<alt (+ (pow (log (log x)) 2) 0)> |
#<alt (- (log x) (* (pow (log (log x)) 3) (/ 1 (+ (pow (log (log x)) 2) 0))))> |
#<alt (/ (- (* (neg (pow (log x) 2)) (log (* x (log x)))) (* (neg (log (* x (log x)))) (pow (log (log x)) 2))) (neg (pow (log (* x (log x))) 2)))> |
#<alt (- (* (neg (pow (log x) 2)) (log (* x (log x)))) (* (neg (log (* x (log x)))) (pow (log (log x)) 2)))> |
#<alt (* (neg (pow (log x) 2)) (log (* x (log x))))> |
#<alt (neg (pow (log x) 2))> |
#<alt (/ 1 (log (log x)))> |
#<alt (log (* (pow (log x) 1/2) (pow (log x) 1/2)))> |
#<alt (pow (log (log x)) 3)> |
#<alt (/ 1 (+ (pow (log (log x)) 2) 0))> |
#<alt (pow (log x) 2)> |
#<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 (- (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 (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 (+ (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 (sqrt (log x))> |
#<alt (sqrt (log x))> |
#<alt (sqrt (log x))> |
#<alt (sqrt (log x))> |
#<alt (* (sqrt (log (/ 1 x))) (sqrt -1))> |
#<alt (* (sqrt (log (/ 1 x))) (sqrt -1))> |
#<alt (* (sqrt (log (/ 1 x))) (sqrt -1))> |
#<alt (* (sqrt (log (/ 1 x))) (sqrt -1))> |
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (sqrt (+ (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 (- (* -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 (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 (* -1 (/ (- (* -1 (* (pow (log x) 2) (+ (log x) (log (log x))))) (* -1 (* (pow (log (log x)) 2) (+ (log x) (log (log x)))))) (pow (+ (log x) (log (log x))) 2)))> |
#<alt (* -1 (/ (- (* -1 (* (pow (log x) 2) (+ (log x) (log (log x))))) (* -1 (* (pow (log (log x)) 2) (+ (log x) (log (log x)))))) (pow (+ (log x) (log (log x))) 2)))> |
#<alt (* -1 (/ (- (* -1 (* (pow (log x) 2) (+ (log x) (log (log x))))) (* -1 (* (pow (log (log x)) 2) (+ (log x) (log (log x)))))) (pow (+ (log x) (log (log x))) 2)))> |
#<alt (* -1 (/ (- (* -1 (* (pow (log x) 2) (+ (log x) (log (log x))))) (* -1 (* (pow (log (log x)) 2) (+ (log x) (log (log x)))))) (pow (+ (log x) (log (log x))) 2)))> |
#<alt (* -1 (/ (- (* -1 (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* -1 (* (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))) (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2)))> |
#<alt (* -1 (/ (- (* -1 (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* -1 (* (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))) (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2)))> |
#<alt (* -1 (/ (- (* -1 (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* -1 (* (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))) (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2)))> |
#<alt (* -1 (/ (- (* -1 (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* -1 (* (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))) (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2)))> |
#<alt (* -1 (/ (- (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) (* -1 (* (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))) (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2)))> |
#<alt (* -1 (/ (- (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) (* -1 (* (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))) (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2)))> |
#<alt (* -1 (/ (- (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) (* -1 (* (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))) (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2)))> |
#<alt (* -1 (/ (- (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) (* -1 (* (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))) (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2)))> |
#<alt (- (* -1 (* (pow (log x) 2) (+ (log x) (log (log x))))) (* -1 (* (pow (log (log x)) 2) (+ (log x) (log (log x))))))> |
#<alt (- (* -1 (* (pow (log x) 2) (+ (log x) (log (log x))))) (* -1 (* (pow (log (log x)) 2) (+ (log x) (log (log x))))))> |
#<alt (- (* -1 (* (pow (log x) 2) (+ (log x) (log (log x))))) (* -1 (* (pow (log (log x)) 2) (+ (log x) (log (log x))))))> |
#<alt (- (* -1 (* (pow (log x) 2) (+ (log x) (log (log x))))) (* -1 (* (pow (log (log x)) 2) (+ (log x) (log (log x))))))> |
#<alt (- (* -1 (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* -1 (* (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))))> |
#<alt (- (* -1 (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* -1 (* (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))))> |
#<alt (- (* -1 (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* -1 (* (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))))> |
#<alt (- (* -1 (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* -1 (* (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))))> |
#<alt (- (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) (* -1 (* (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))))> |
#<alt (- (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) (* -1 (* (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))))> |
#<alt (- (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) (* -1 (* (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))))> |
#<alt (- (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) (* -1 (* (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))))> |
#<alt (* -1 (* (pow (log x) 2) (+ (log x) (log (log x)))))> |
#<alt (* -1 (* (pow (log x) 2) (+ (log x) (log (log x)))))> |
#<alt (* -1 (* (pow (log x) 2) (+ (log x) (log (log x)))))> |
#<alt (* -1 (* (pow (log x) 2) (+ (log x) (log (log x)))))> |
#<alt (* -1 (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))> |
#<alt (* -1 (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))> |
#<alt (* -1 (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))> |
#<alt (* -1 (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))> |
#<alt (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))> |
#<alt (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))> |
#<alt (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))> |
#<alt (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))> |
#<alt (* -1 (pow (log x) 2))> |
#<alt (* -1 (pow (log x) 2))> |
#<alt (* -1 (pow (log x) 2))> |
#<alt (* -1 (pow (log x) 2))> |
#<alt (* -1 (pow (log (/ 1 x)) 2))> |
#<alt (* -1 (pow (log (/ 1 x)) 2))> |
#<alt (* -1 (pow (log (/ 1 x)) 2))> |
#<alt (* -1 (pow (log (/ 1 x)) 2))> |
#<alt (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))> |
#<alt (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))> |
#<alt (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))> |
#<alt (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))> |
#<alt (/ 1 (log (log x)))> |
#<alt (/ 1 (log (log x)))> |
#<alt (/ 1 (log (log x)))> |
#<alt (/ 1 (log (log x)))> |
#<alt (/ 1 (log (* -1 (log (/ 1 x)))))> |
#<alt (/ 1 (log (* -1 (log (/ 1 x)))))> |
#<alt (/ 1 (log (* -1 (log (/ 1 x)))))> |
#<alt (/ 1 (log (* -1 (log (/ 1 x)))))> |
#<alt (/ 1 (log (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (/ 1 (log (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (/ 1 (log (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (/ 1 (log (+ (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)))))> |
#<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 (/ 1 (pow (log (log x)) 2))> |
#<alt (/ 1 (pow (log (log x)) 2))> |
#<alt (/ 1 (pow (log (log x)) 2))> |
#<alt (/ 1 (pow (log (log x)) 2))> |
#<alt (/ 1 (pow (log (* -1 (log (/ 1 x)))) 2))> |
#<alt (/ 1 (pow (log (* -1 (log (/ 1 x)))) 2))> |
#<alt (/ 1 (pow (log (* -1 (log (/ 1 x)))) 2))> |
#<alt (/ 1 (pow (log (* -1 (log (/ 1 x)))) 2))> |
#<alt (/ 1 (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2))> |
#<alt (/ 1 (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2))> |
#<alt (/ 1 (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2))> |
#<alt (/ 1 (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2))> |
#<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) (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)> |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 255.0ms | x | @ | -inf | (log (* x (log x))) |
| 16.0ms | x | @ | 0 | (log (* x (log x))) |
| 7.0ms | x | @ | inf | (log (* x (log x))) |
| 3.0ms | x | @ | -inf | (/ (- (* (neg (pow (log x) 2)) (log (* x (log x)))) (* (neg (log (* x (log x)))) (pow (log (log x)) 2))) (neg (pow (log (* x (log x))) 2))) |
| 3.0ms | x | @ | inf | (/ (- (* (neg (pow (log x) 2)) (log (* x (log x)))) (* (neg (log (* x (log x)))) (pow (log (log x)) 2))) (neg (pow (log (* x (log x))) 2))) |
| 1× | batch-egg-rewrite |
| 794× | accelerator-lowering-fma.f32 |
| 794× | accelerator-lowering-fma.f64 |
| 768× | *-lowering-*.f32 |
| 768× | *-lowering-*.f64 |
| 498× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 188 |
| 1 | 205 | 135 |
| 0 | 1705 | 135 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (pow (log (log x)) 2) (/ 1 (log (log x)))) |
(- (log x) (* (pow (log (log x)) 2) (/ 1 (log (log x))))) |
(log x) |
(pow (log (log x)) 2) |
(log (* x (log x))) |
(* x (log x)) |
(* (pow (log x) 1/2) (pow (log x) 1/2)) |
(pow (log x) 1/2) |
(- (log x) (log (* (pow (log x) 1/2) (pow (log x) 1/2)))) |
(* (pow (log (log x)) 3) (/ 1 (+ (pow (log (log x)) 2) 0))) |
(+ (pow (log (log x)) 2) 0) |
(- (log x) (* (pow (log (log x)) 3) (/ 1 (+ (pow (log (log x)) 2) 0)))) |
(/ (- (* (neg (pow (log x) 2)) (log (* x (log x)))) (* (neg (log (* x (log x)))) (pow (log (log x)) 2))) (neg (pow (log (* x (log x))) 2))) |
(- (* (neg (pow (log x) 2)) (log (* x (log x)))) (* (neg (log (* x (log x)))) (pow (log (log x)) 2))) |
(* (neg (pow (log x) 2)) (log (* x (log x)))) |
(neg (pow (log x) 2)) |
(/ 1 (log (log x))) |
(log (* (pow (log x) 1/2) (pow (log x) 1/2))) |
(pow (log (log x)) 3) |
(/ 1 (+ (pow (log (log x)) 2) 0)) |
(pow (log x) 2) |
(pow (log (* x (log x))) 2) |
| Outputs |
|---|
(log.f64 (log.f64 x)) |
(+.f64 (log.f64 (log.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) #s(literal 0 binary64))) |
(+.f64 (log.f64 (log.f64 x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))))) |
(+.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (log.f64 x)) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) #s(literal 0 binary64)) (log.f64 (log.f64 x))) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x)))) (log.f64 (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64))) |
(exp.f64 (-.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (log.f64 x)))) (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 (log.f64 x)))))) |
(fma.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) #s(literal 0 binary64))) |
(fma.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))))) |
(fma.f64 (log.f64 (log.f64 x)) #s(literal 1/2 binary64) (*.f64 (log.f64 (log.f64 x)) #s(literal 1/2 binary64))) |
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(fma.f64 (log.f64 (log.f64 x)) (/.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))))) |
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(/.f64 (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 4 binary64)) (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 3 binary64)) |
(pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (log.f64 (log.f64 x)))) #s(literal 3 binary64)) |
(*.f64 (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)) (log.f64 (log.f64 x))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (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 3/2 binary64))) |
(*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 x)) #s(literal 6 binary64))) |
(*.f64 (pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 (log.f64 x)))) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 (log.f64 x)))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) (log.f64 (log.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) |
(pow.f64 (log.f64 (log.f64 x)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (log.f64 x)) #s(literal -2 binary64))) |
(*.f64 (/.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 -2 binary64)) #s(literal 1 binary64)) |
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(*.f64 (pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
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(exp.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (log.f64 x) (log.f64 x)) |
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(*.f64 (*.f64 (log.f64 x) (sqrt.f64 (log.f64 x))) (sqrt.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 (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)))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) |
(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)))) |
(neg.f64 (neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) |
(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 (exp.f64 (log.f64 (log.f64 (*.f64 x (log.f64 x))))) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64))) |
(*.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 (*.f64 x (log.f64 x)))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) |
(*.f64 (exp.f64 (log.f64 (log.f64 (*.f64 x (log.f64 x))))) (exp.f64 (log.f64 (log.f64 (*.f64 x (log.f64 x)))))) |
| 1× | egg-herbie |
| 12 272× | accelerator-lowering-fma.f32 |
| 12 272× | accelerator-lowering-fma.f64 |
| 3 320× | +-lowering-+.f64 |
| 3 320× | +-lowering-+.f32 |
| 3 040× | *-lowering-*.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 2880 |
| 1 | 237 | 2460 |
| 2 | 1085 | 2284 |
| 3 | 3270 | 2188 |
| 4 | 7768 | 2188 |
| 0 | 8398 | 2188 |
| 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))))) |
(- (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)))) |
(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))) |
(+ (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)))) |
(sqrt (log x)) |
(sqrt (log x)) |
(sqrt (log x)) |
(sqrt (log x)) |
(* (sqrt (log (/ 1 x))) (sqrt -1)) |
(* (sqrt (log (/ 1 x))) (sqrt -1)) |
(* (sqrt (log (/ 1 x))) (sqrt -1)) |
(* (sqrt (log (/ 1 x))) (sqrt -1)) |
(sqrt (+ (log -1) (* -1 (log (/ -1 x))))) |
(sqrt (+ (log -1) (* -1 (log (/ -1 x))))) |
(sqrt (+ (log -1) (* -1 (log (/ -1 x))))) |
(sqrt (+ (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))) |
(- (* -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 (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)))))) |
(* -1 (/ (- (* -1 (* (pow (log x) 2) (+ (log x) (log (log x))))) (* -1 (* (pow (log (log x)) 2) (+ (log x) (log (log x)))))) (pow (+ (log x) (log (log x))) 2))) |
(* -1 (/ (- (* -1 (* (pow (log x) 2) (+ (log x) (log (log x))))) (* -1 (* (pow (log (log x)) 2) (+ (log x) (log (log x)))))) (pow (+ (log x) (log (log x))) 2))) |
(* -1 (/ (- (* -1 (* (pow (log x) 2) (+ (log x) (log (log x))))) (* -1 (* (pow (log (log x)) 2) (+ (log x) (log (log x)))))) (pow (+ (log x) (log (log x))) 2))) |
(* -1 (/ (- (* -1 (* (pow (log x) 2) (+ (log x) (log (log x))))) (* -1 (* (pow (log (log x)) 2) (+ (log x) (log (log x)))))) (pow (+ (log x) (log (log x))) 2))) |
(* -1 (/ (- (* -1 (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* -1 (* (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))) (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2))) |
(* -1 (/ (- (* -1 (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* -1 (* (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))) (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2))) |
(* -1 (/ (- (* -1 (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* -1 (* (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))) (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2))) |
(* -1 (/ (- (* -1 (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* -1 (* (pow (log (* -1 (log (/ 1 x)))) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x))))))) (pow (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))) 2))) |
(* -1 (/ (- (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) (* -1 (* (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))) (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2))) |
(* -1 (/ (- (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) (* -1 (* (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))) (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2))) |
(* -1 (/ (- (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) (* -1 (* (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))) (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2))) |
(* -1 (/ (- (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) (* -1 (* (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))) (pow (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) 2))) |
(- (* -1 (* (pow (log x) 2) (+ (log x) (log (log x))))) (* -1 (* (pow (log (log x)) 2) (+ (log x) (log (log x)))))) |
(- (* -1 (* (pow (log x) 2) (+ (log x) (log (log x))))) (* -1 (* (pow (log (log x)) 2) (+ (log x) (log (log x)))))) |
(- (* -1 (* (pow (log x) 2) (+ (log x) (log (log x))))) (* -1 (* (pow (log (log x)) 2) (+ (log x) (log (log x)))))) |
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(- (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) (* -1 (* (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))) |
(- (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) (* -1 (* (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))) |
(- (* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) (* -1 (* (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x))))))) |
(* -1 (* (pow (log x) 2) (+ (log x) (log (log x))))) |
(* -1 (* (pow (log x) 2) (+ (log x) (log (log x))))) |
(* -1 (* (pow (log x) 2) (+ (log x) (log (log x))))) |
(* -1 (* (pow (log x) 2) (+ (log x) (log (log x))))) |
(* -1 (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) |
(* -1 (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) |
(* -1 (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) |
(* -1 (* (pow (log (/ 1 x)) 2) (+ (log (* -1 (log (/ 1 x)))) (* -1 (log (/ 1 x)))))) |
(* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) |
(* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) |
(* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) |
(* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) |
(* -1 (pow (log x) 2)) |
(* -1 (pow (log x) 2)) |
(* -1 (pow (log x) 2)) |
(* -1 (pow (log x) 2)) |
(* -1 (pow (log (/ 1 x)) 2)) |
(* -1 (pow (log (/ 1 x)) 2)) |
(* -1 (pow (log (/ 1 x)) 2)) |
(* -1 (pow (log (/ 1 x)) 2)) |
(* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) |
(* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) |
(* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) |
(* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) |
(/ 1 (log (log x))) |
(/ 1 (log (log x))) |
(/ 1 (log (log x))) |
(/ 1 (log (log x))) |
(/ 1 (log (* -1 (log (/ 1 x))))) |
(/ 1 (log (* -1 (log (/ 1 x))))) |
(/ 1 (log (* -1 (log (/ 1 x))))) |
(/ 1 (log (* -1 (log (/ 1 x))))) |
(/ 1 (log (+ (log -1) (* -1 (log (/ -1 x)))))) |
(/ 1 (log (+ (log -1) (* -1 (log (/ -1 x)))))) |
(/ 1 (log (+ (log -1) (* -1 (log (/ -1 x)))))) |
(/ 1 (log (+ (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))))) |
(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) |
(/ 1 (pow (log (log x)) 2)) |
(/ 1 (pow (log (log x)) 2)) |
(/ 1 (pow (log (log x)) 2)) |
(/ 1 (pow (log (log x)) 2)) |
(/ 1 (pow (log (* -1 (log (/ 1 x)))) 2)) |
(/ 1 (pow (log (* -1 (log (/ 1 x)))) 2)) |
(/ 1 (pow (log (* -1 (log (/ 1 x)))) 2)) |
(/ 1 (pow (log (* -1 (log (/ 1 x)))) 2)) |
(/ 1 (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)) |
(/ 1 (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)) |
(/ 1 (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)) |
(/ 1 (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)) |
(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) (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 -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)))) |
(- (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 (log.f64 #s(literal -1 binary64)) (+.f64 (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 (log.f64 #s(literal -1 binary64)) (+.f64 (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 (log.f64 #s(literal -1 binary64)) (+.f64 (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 (log.f64 #s(literal -1 binary64)) (+.f64 (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))) |
(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 -1 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 -1 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 -1 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 -1 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))) |
(+ (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 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) 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)) |
(* x (log x)) |
(*.f64 x (log.f64 x)) |
(* -1 (* x (log (/ 1 x)))) |
(*.f64 x (log.f64 x)) |
(* -1 (* x (log (/ 1 x)))) |
(*.f64 x (log.f64 x)) |
(* -1 (* x (log (/ 1 x)))) |
(*.f64 x (log.f64 x)) |
(* -1 (* x (log (/ 1 x)))) |
(*.f64 x (log.f64 x)) |
(* x (+ (log -1) (* -1 (log (/ -1 x))))) |
(*.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(* x (+ (log -1) (* -1 (log (/ -1 x))))) |
(*.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(* x (+ (log -1) (* -1 (log (/ -1 x))))) |
(*.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(* x (+ (log -1) (* -1 (log (/ -1 x))))) |
(*.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(sqrt (log x)) |
(sqrt.f64 (log.f64 x)) |
(sqrt (log x)) |
(sqrt.f64 (log.f64 x)) |
(sqrt (log x)) |
(sqrt.f64 (log.f64 x)) |
(sqrt (log x)) |
(sqrt.f64 (log.f64 x)) |
(* (sqrt (log (/ 1 x))) (sqrt -1)) |
(*.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 #s(literal -1 binary64))) |
(* (sqrt (log (/ 1 x))) (sqrt -1)) |
(*.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 #s(literal -1 binary64))) |
(* (sqrt (log (/ 1 x))) (sqrt -1)) |
(*.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 #s(literal -1 binary64))) |
(* (sqrt (log (/ 1 x))) (sqrt -1)) |
(*.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 #s(literal -1 binary64))) |
(sqrt (+ (log -1) (* -1 (log (/ -1 x))))) |
(sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(sqrt (+ (log -1) (* -1 (log (/ -1 x))))) |
(sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(sqrt (+ (log -1) (* -1 (log (/ -1 x))))) |
(sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(sqrt (+ (log -1) (* -1 (log (/ -1 x))))) |
(sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 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))) |
(- (* -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 (log.f64 #s(literal -1 binary64)) (+.f64 (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 (log.f64 #s(literal -1 binary64)) (+.f64 (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 (log.f64 #s(literal -1 binary64)) (+.f64 (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 (log.f64 #s(literal -1 binary64)) (+.f64 (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 (log x)) |
(log.f64 (log.f64 x)) |
(log (log x)) |
(log.f64 (log.f64 x)) |
(log (log x)) |
(log.f64 (log.f64 x)) |
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(* -1 (* (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))))) |
(*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))))) |
(* -1 (pow (log x) 2)) |
(neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(* -1 (pow (log x) 2)) |
(neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(* -1 (pow (log x) 2)) |
(neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(* -1 (pow (log x) 2)) |
(neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(* -1 (pow (log (/ 1 x)) 2)) |
(neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(* -1 (pow (log (/ 1 x)) 2)) |
(neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(* -1 (pow (log (/ 1 x)) 2)) |
(neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(* -1 (pow (log (/ 1 x)) 2)) |
(neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) |
(neg.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) |
(* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) |
(neg.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) |
(* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) |
(neg.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) |
(* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) |
(neg.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) |
(/ 1 (log (log x))) |
(/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) |
(/ 1 (log (log x))) |
(/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) |
(/ 1 (log (log x))) |
(/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) |
(/ 1 (log (log x))) |
(/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) |
(/ 1 (log (* -1 (log (/ 1 x))))) |
(/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) |
(/ 1 (log (* -1 (log (/ 1 x))))) |
(/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) |
(/ 1 (log (* -1 (log (/ 1 x))))) |
(/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) |
(/ 1 (log (* -1 (log (/ 1 x))))) |
(/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))) |
(/ 1 (log (+ (log -1) (* -1 (log (/ -1 x)))))) |
(/.f64 #s(literal 1 binary64) (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
(/ 1 (log (+ (log -1) (* -1 (log (/ -1 x)))))) |
(/.f64 #s(literal 1 binary64) (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
(/ 1 (log (+ (log -1) (* -1 (log (/ -1 x)))))) |
(/.f64 #s(literal 1 binary64) (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
(/ 1 (log (+ (log -1) (* -1 (log (/ -1 x)))))) |
(/.f64 #s(literal 1 binary64) (log.f64 (-.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)))) |
(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 -1 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 -1 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 -1 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 -1 binary64) x)))) #s(literal 3 binary64)) |
(/ 1 (pow (log (log x)) 2)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) |
(/ 1 (pow (log (log x)) 2)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) |
(/ 1 (pow (log (log x)) 2)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) |
(/ 1 (pow (log (log x)) 2)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) |
(/ 1 (pow (log (* -1 (log (/ 1 x)))) 2)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) |
(/ 1 (pow (log (* -1 (log (/ 1 x)))) 2)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) |
(/ 1 (pow (log (* -1 (log (/ 1 x)))) 2)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) |
(/ 1 (pow (log (* -1 (log (/ 1 x)))) 2)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) |
(/ 1 (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))) |
(/ 1 (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))) |
(/ 1 (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))) |
(/ 1 (pow (log (+ (log -1) (* -1 (log (/ -1 x))))) 2)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) 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 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 -1 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 -1 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 -1 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 -1 binary64) 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 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 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 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 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 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 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 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 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) |
Compiled 43 809 to 2 855 computations (93.5% saved)
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 784 | 1 | 1 785 |
| Fresh | 14 | 0 | 14 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1 803 | 2 | 1 805 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (log.f64 (/.f64 x (log.f64 x))) |
| ✓ | 24.6% | (log.f64 (*.f64 x (log.f64 x))) |
Compiled 12 to 8 computations (33.3% 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)) |
| 13.0ms | 256× | 0 | valid |
Compiled 14 to 6 computations (57.1% saved)
ival-log: 6.0ms (73.9% of total)ival-div: 2.0ms (24.6% 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))) |
| 22.0ms | x | @ | inf | (log (/ x (log x))) |
| 19.0ms | 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))) |
(+.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) |
(+.f64 (log.f64 (log.f64 x)) (log.f64 x)) |
(+.f64 (log.f64 (log.f64 x)) (log.f64 (neg.f64 x))) |
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (log.f64 x))) |
(+.f64 (log.f64 (neg.f64 x)) (neg.f64 (log.f64 (log.f64 x)))) |
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (log.f64 x)))) |
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x)) |
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (neg.f64 x))) |
(+.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 0 binary64)) |
(+.f64 (log.f64 (*.f64 x (log.f64 x))) (log.f64 #s(literal -1 binary64))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (*.f64 x (log.f64 x)))) |
(+.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)))) (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 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))) (neg.f64 (/.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (log.f64 x)))))) |
(+.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal -1/2 binary64)) (*.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal -1/2 binary64)) (log.f64 (neg.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))) |
(+.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal -1/2 binary64)) (log.f64 (/.f64 (sqrt.f64 (*.f64 x (log.f64 x))) #s(literal 1 binary64)))) |
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(+.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 (*.f64 x x))) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (log.f64 (log.f64 x))) |
(exp.f64 (*.f64 (neg.f64 (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 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (log.f64 x)) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))) |
(-.f64 (log.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (log.f64 (neg.f64 (*.f64 x x)))) |
(-.f64 (log.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (log.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(-.f64 (log.f64 (neg.f64 (*.f64 x x))) (log.f64 (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 x)) |
(-.f64 (log.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(-.f64 (log.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)))) (log.f64 x)) |
(-.f64 (log.f64 (neg.f64 (neg.f64 (*.f64 x x)))) (log.f64 x)) |
(-.f64 (log.f64 (+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (log.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64))))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(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 (neg.f64 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 (neg.f64 x)) (log.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal -1 binary64))))) |
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal -1 binary64))))) |
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal -1 binary64))))) |
(+ (log (/ -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 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 (neg.f64 x)))) |
(/ x (+ (log -1) (* -1 (log (/ -1 x))))) |
(/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))) |
(/ x (+ (log -1) (* -1 (log (/ -1 x))))) |
(/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))) |
(/ x (+ (log -1) (* -1 (log (/ -1 x))))) |
(/.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 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 (neg.f64 x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))) |
Compiled 15 640 to 1 670 computations (89.3% saved)
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 704 | 0 | 704 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 704 | 2 | 706 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (log.f64 (/.f64 x (log.f64 x))) |
| ✓ | 24.6% | (log.f64 (*.f64 x (log.f64 x))) |
Compiled 614 to 109 computations (82.2% 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))))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(-.f64 (exp.f64 (log.f64 (log.f64 x))) (log.f64 (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 (log.f64 x) (log.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64))))) |
(-.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 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 x))))) |
(-.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)))) |
(-.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 (log.f64 x) (*.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 (/.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)) (neg.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)))) (neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x (log.f64 x)))) (*.f64 (neg.f64 (log.f64 (*.f64 x (log.f64 x)))) (pow.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 (*.f64 x (log.f64 x))) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)) (neg.f64 (pow.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 (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 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 #s(literal 1 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))))))))) |
(-.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)) (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)))))))) (/.f64 (/.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:
| 7.0ms | (log.f64 x) |
| 6.0ms | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| 100.0% | 1 | (log.f64 x) |
Compiled 12 to 7 computations (41.7% saved)
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))) |
3 calls:
| 1.0ms | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| 1.0ms | (log.f64 x) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 24.6% | 1 | x |
| 24.6% | 1 | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| 24.6% | 1 | (log.f64 x) |
Compiled 12 to 7 computations (41.7% 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))) |
| 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 |
| 0 | 32 | 188 |
| 1 | 205 | 135 |
| 0 | 1705 | 135 |
| 1× | done |
| 1× | iter limit |
| 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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