Hyperbolic secant
Time bar (total: 2.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 2 |
Compiled 10 to 8 computations (20% saved)
ival-div, time spent: 0.0ms, 0.0% of total-timeival-exp, time spent: 0.0ms, 0.0% of total-timeival-add, time spent: 0.0ms, 0.0% of total-timeconst, time spent: 0.0ms, 0.0% of total-timeival-neg, time spent: 0.0ms, 0.0% of total-time| 992.0ms | 8256× | 256 | valid |
ival-neg, time spent: 172.0ms, 38.0% of total-timeival-exp, time spent: 133.0ms, 29.0% of total-timeival-div, time spent: 77.0ms, 17.0% of total-timeival-add, time spent: 60.0ms, 13.0% of total-timeconst, time spent: 13.0ms, 3.0% of total-time| 1× | egg-herbie |
| 40× | fma-neg |
| 40× | fma-define |
| 24× | sub-neg |
| 14× | distribute-lft-neg-in |
| 14× | cancel-sign-sub-inv |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | x |
| 0 | 1 | (278.2898787072235) | 0 | - | (exp.f64 (neg.f64 x)) |
| 0 | 0 | - | 0 | - | (neg.f64 x) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 0 | - | 0 | - | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 124 |
| 1 | 35 | 124 |
| 2 | 67 | 124 |
| 3 | 113 | 124 |
| 4 | 170 | 124 |
| 5 | 231 | 124 |
| 6 | 286 | 124 |
| 7 | 302 | 124 |
| 8 | 309 | 124 |
| 9 | 320 | 124 |
| 10 | 332 | 124 |
| 11 | 334 | 124 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x))))) |
(neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))))) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x))))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))))) |
(/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(abs x)
| 57.0ms | 512× | 256 | valid |
Compiled 59 to 25 computations (57.6% saved)
ival-exp, time spent: 11.0ms, 51.0% of total-timeival-div, time spent: 4.0ms, 19.0% of total-timeival-add, time spent: 3.0ms, 14.0% of total-timeival-neg, time spent: 3.0ms, 14.0% of total-timeconst, time spent: 1.0ms, 5.0% of total-timeCompiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
Compiled 9 to 7 computations (22.2% saved)
Found 2 expressions with local error:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| ✓ | 100.0% | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 28.0ms | 256× | 256 | valid |
Compiled 25 to 9 computations (64% saved)
ival-exp, time spent: 4.0ms, 39.0% of total-timeival-div, time spent: 2.0ms, 19.0% of total-timeival-add, time spent: 2.0ms, 19.0% of total-timeival-neg, time spent: 2.0ms, 19.0% of total-timeconst, time spent: 1.0ms, 10.0% of total-time| Inputs |
|---|
#<alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))> |
#<alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))> |
| Outputs |
|---|
#<alt #s(literal 2 binary64)> |
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))> |
#<alt (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))> |
#<alt (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))> |
#<alt (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))> |
#<alt (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))> |
#<alt #s(literal 1 binary64)> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))> |
#<alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))> |
#<alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))> |
#<alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))> |
#<alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))> |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (+ (exp x) (exp (neg x))) |
| 1.0ms | x | @ | -inf | (/ 2 (+ (exp x) (exp (neg x)))) |
| 1.0ms | x | @ | inf | (/ 2 (+ (exp x) (exp (neg x)))) |
| 0.0ms | x | @ | inf | (+ (exp x) (exp (neg x))) |
| 0.0ms | x | @ | 0 | (/ 2 (+ (exp x) (exp (neg x)))) |
| 1× | batch-egg-rewrite |
| 62× | add-exp-log |
| 62× | add-log-exp |
| 62× | log1p-expm1-u |
| 62× | expm1-log1p-u |
| 60× | add-cube-cbrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 28 |
| 1 | 144 | 28 |
| 2 | 2340 | 28 |
| 1× | unsound |
| Inputs |
|---|
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
#s(literal -4 binary64) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
#s(literal -4 binary64) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 4 binary64) |
Compiled 199 to 164 computations (17.6% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 31 | 5 | 36 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 31 | 6 | 37 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| ▶ | 76.6% | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
| ▶ | 49.7% | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
| ▶ | 50.2% | #s(literal 1 binary64) |
| ▶ | 10.9% | #s(literal 1/2 binary64) |
| ▶ | 51.6% | #s(literal 0 binary64) |
Compiled 53 to 47 computations (11.3% saved)
Found 5 expressions with local error:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (pow.f64 x #s(literal 2 binary64)) |
| ✓ | 100.0% | (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
| ✓ | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
| ✓ | 100.0% | (pow.f64 x #s(literal 2 binary64)) |
| ✓ | 99.4% | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
| 59.0ms | 256× | 256 | valid |
Compiled 41 to 33 computations (19.5% saved)
ival-pow, time spent: 17.0ms, 55.0% of total-timeival-add, time spent: 5.0ms, 16.0% of total-timeival-mult, time spent: 3.0ms, 10.0% of total-timeconst, time spent: 3.0ms, 10.0% of total-timeival-div, time spent: 2.0ms, 7.0% of total-time| Inputs |
|---|
#<alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
| Outputs |
|---|
#<alt #s(literal 1 binary64)> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))> |
#<alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))> |
#<alt #s(literal 1 binary64)> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (pow x 2) |
| 1.0ms | x | @ | inf | (* -1/2 (pow x 2)) |
| 1.0ms | x | @ | inf | (/ 2 (+ 2 (pow x 2))) |
| 0.0ms | x | @ | 0 | (/ 2 (+ 2 (pow x 2))) |
| 0.0ms | x | @ | inf | (+ 1 (* -1/2 (pow x 2))) |
| 1× | batch-egg-rewrite |
| 774× | log1p-expm1-u |
| 774× | expm1-log1p-u |
| 357× | log-prod |
| 294× | prod-diff |
| 289× | fma-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 80 |
| 1 | 166 | 75 |
| 2 | 2150 | 75 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(pow.f64 x #s(literal 2 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))) (log.f64 (exp.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(neg.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 2 binary64)))) |
(sqrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(log.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))) |
(cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) |
(log1p.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) |
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x)) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) |
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))) |
(cbrt.f64 (pow.f64 x #s(literal 6 binary64))) |
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) |
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) |
(exp.f64 (log.f64 (pow.f64 x #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 6 binary64) (log.f64 x)) #s(literal 1/3 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))) #s(literal -1 binary64)) |
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64))))) #s(literal 2 binary64))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))))) |
(-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (*.f64 x (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))) |
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))) |
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(fma.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x)) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) |
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))) |
(cbrt.f64 (pow.f64 x #s(literal 6 binary64))) |
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) |
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) |
(exp.f64 (log.f64 (pow.f64 x #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 6 binary64) (log.f64 x)) #s(literal 1/3 binary64))) |
Compiled 2565 to 2102 computations (18.1% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 220 | 2 | 222 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 222 | 6 | 228 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| ▶ | 76.6% | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) |
| ▶ | 49.7% | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
| ✓ | 50.2% | #s(literal 1 binary64) |
| ✓ | 10.9% | #s(literal 1/2 binary64) |
| ✓ | 51.6% | #s(literal 0 binary64) |
Compiled 31 to 25 computations (19.4% saved)
Found 3 expressions with local error:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 99.4% | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) |
| ✓ | 100.0% | (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
| ✓ | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
| 27.0ms | 188× | 256 | valid |
| 11.0ms | 68× | 256 | infinite |
Compiled 37 to 18 computations (51.4% saved)
ival-mult, time spent: 6.0ms, 38.0% of total-timeival-div, time spent: 4.0ms, 26.0% of total-timeival-add, time spent: 4.0ms, 26.0% of total-timeconst, time spent: 2.0ms, 13.0% of total-time| Inputs |
|---|
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 x x))> |
#<alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))> |
| Outputs |
|---|
#<alt #s(literal 1 binary64)> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt #s(literal 1 binary64)> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))> |
#<alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))> |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/ 2 (+ 2 (* x x))) |
| 0.0ms | x | @ | inf | (/ 2 (+ 2 (* x x))) |
| 0.0ms | x | @ | inf | (+ 1 (* -1/2 (* x x))) |
| 0.0ms | x | @ | -inf | (+ 1 (* -1/2 (* x x))) |
| 0.0ms | x | @ | 0 | (+ 1 (* -1/2 (* x x))) |
| 1× | batch-egg-rewrite |
| 793× | log1p-expm1-u |
| 793× | expm1-log1p-u |
| 412× | prod-diff |
| 373× | log-prod |
| 339× | fma-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 60 |
| 1 | 165 | 55 |
| 2 | 2187 | 55 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) |
| Outputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))) #s(literal -1 binary64)) |
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64))))) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (*.f64 x (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) |
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(fma.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))) (log.f64 (exp.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal -2 binary64)) #s(literal 4 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(neg.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 2 binary64)))) |
(sqrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(log.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))) |
(cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) |
(log1p.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) |
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
Compiled 1632 to 1372 computations (15.9% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 144 | 0 | 144 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 4 | 4 |
| Total | 144 | 6 | 150 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| ✓ | 76.6% | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) |
| ✓ | 49.7% | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
| ✓ | 50.2% | #s(literal 1 binary64) |
| ✓ | 10.9% | #s(literal 1/2 binary64) |
| ✓ | 51.6% | #s(literal 0 binary64) |
Compiled 71 to 56 computations (21.1% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
3 calls:
| 3.0ms | x |
| 3.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 1.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 100.0% | 1 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) |
#s(literal 0 binary64) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
#s(literal 0 binary64) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(literal 1 binary64) |
#s(literal 0 binary64) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 0 binary64) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.3% | 2 | x |
Compiled 2 to 1 computations (50% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(literal 0 binary64) |
| Outputs |
|---|
#s(literal 0 binary64) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.6% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 278.2898787072235 | 1359.5520171263336 |
| 11.0ms | 96× | 256 | valid |
Compiled 85 to 70 computations (17.6% saved)
ival-exp, time spent: 3.0ms, 62.0% of total-timeival-div, time spent: 1.0ms, 21.0% of total-timeival-add, time spent: 1.0ms, 21.0% of total-timeconst, time spent: 0.0ms, 0.0% of total-timeival-neg, time spent: 0.0ms, 0.0% of total-time| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.16462686843770158 | 1.6299640170909804 |
| 11.0ms | 96× | 256 | valid |
Compiled 85 to 70 computations (17.6% saved)
ival-exp, time spent: 2.0ms, 45.0% of total-timeival-div, time spent: 1.0ms, 22.0% of total-timeival-add, time spent: 1.0ms, 22.0% of total-timeconst, time spent: 0.0ms, 0.0% of total-timeival-neg, time spent: 0.0ms, 0.0% of total-time| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 278.2898787072235 | 1359.5520171263336 |
| 12.0ms | 96× | 256 | valid |
Compiled 49 to 46 computations (6.1% saved)
ival-exp, time spent: 2.0ms, 46.0% of total-timeival-div, time spent: 1.0ms, 23.0% of total-timeival-add, time spent: 1.0ms, 23.0% of total-timeconst, time spent: 0.0ms, 0.0% of total-timeival-neg, time spent: 0.0ms, 0.0% of total-time| 1× | binary-search |
| 1× | done |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 278.2898787072235 | 1359.5520171263336 |
| 10.0ms | 96× | 256 | valid |
Compiled 100 to 87 computations (13% saved)
ival-exp, time spent: 2.0ms, 45.0% of total-timeival-div, time spent: 1.0ms, 22.0% of total-timeival-add, time spent: 1.0ms, 22.0% of total-timeconst, time spent: 0.0ms, 0.0% of total-timeival-neg, time spent: 0.0ms, 0.0% of total-time| 774× | log1p-expm1-u |
| 774× | expm1-log1p-u |
| 357× | log-prod |
| 294× | prod-diff |
| 289× | fma-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 80 |
| 1 | 166 | 75 |
| 2 | 2150 | 75 |
| 0 | 12 | 28 |
| 1 | 144 | 28 |
| 2 | 2340 | 28 |
| 1× | unsound |
| 1× | node limit |
Compiled 15 to 12 computations (20% saved)
(abs x)
Compiled 146 to 112 computations (23.3% saved)
Loading profile data...