
Time bar (total: 12.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 4 to 4 computations (0% saved)
| 355.0ms | 8 256× | 0 | valid |
ival-asinh: 105.0ms (92.6% of total)ival-true: 6.0ms (5.3% of total)ival-assert: 3.0ms (2.6% of total)| 1× | egg-herbie |
| 12× | sub-neg |
| 8× | lower-+.f32 |
| 8× | +-commutative |
| 4× | lift-+.f64 |
| 4× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 7 |
| 1 | 10 | 7 |
| 2 | 14 | 7 |
| 3 | 17 | 7 |
| 4 | 21 | 7 |
| 5 | 28 | 7 |
| 6 | 35 | 7 |
| 0 | 9 | 12 |
| 0 | 16 | 12 |
| 1 | 20 | 12 |
| 0 | 20 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 256 | 0 | - | 256 | (-6.213282611372703e+55) | (+.f64 (*.f64 x x) #s(literal 1 binary64)) |
| 256 | 0 | - | 256 | (-6.213282611372703e+55) | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| 255 | 0 | - | 255 | (-6.213282611372703e+55) | (*.f64 x x) |
| 183 | 73 | (-8.687571770732833e-246) | 126 | (-6.213282611372703e+55) | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 132 | 0 | - | 132 | (-6.213282611372703e+55) | (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| 129 | 0 | - | 129 | (-6.213282611372703e+55) | (fabs.f64 x) |
| 70 | 0 | - | 0 | - | (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) | sensitivity | 129 | 0 |
sqrt.f64 | (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) | oflow-rescue | 70 | 0 |
| ↳ | (*.f64 x x) | overflow | 70 | |
| ↳ | (+.f64 (*.f64 x x) #s(literal 1 binary64)) | overflow | 70 | |
log.f64 | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) | oflow-rescue | 1 | 0 |
| ↳ | (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) | overflow | 1 | |
| ↳ | (*.f64 x x) | overflow | 70 | |
| ↳ | (+.f64 (*.f64 x x) #s(literal 1 binary64)) | overflow | 70 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 199 | 0 |
| - | 0 | 57 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 199 | 0 | 0 |
| - | 0 | 0 | 57 |
| number | freq |
|---|---|
| 0 | 57 |
| 1 | 198 |
| 2 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 57.0ms | 110× | 2 | valid |
| 30.0ms | 136× | 1 | valid |
| 24.0ms | 266× | 0 | valid |
Compiled 178 to 49 computations (72.5% saved)
ival-log: 37.0ms (41% of total)ival-hypot: 22.0ms (24.4% of total)adjust: 7.0ms (7.8% of total)ival-copysign: 6.0ms (6.6% of total)ival-add: 6.0ms (6.6% of total)ival-fabs: 6.0ms (6.6% of total)ival-mult: 4.0ms (4.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 27.4% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 13 to 9 computations (30.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| ✓ | cost-diff | 0 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 x x) #s(literal 1 binary64)) |
| 8× | lower-+.f32 |
| 4× | lift-+.f64 |
| 4× | lower-+.f64 |
| 4× | +-commutative |
| 2× | lift-sqrt.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 49 |
| 0 | 16 | 49 |
| 1 | 20 | 49 |
| 0 | 20 | 44 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(fabs.f64 x) |
x |
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal 1 binary64) |
| Outputs |
|---|
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) |
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(fabs.f64 x) |
x |
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 x x #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 32.3% | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| ✓ | accuracy | 6.0% | (*.f64 x x) |
| ✓ | accuracy | 5.9% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| ✓ | accuracy | 3.9% | (+.f64 (*.f64 x x) #s(literal 1 binary64)) |
| 25.0ms | 55× | 2 | valid |
| 15.0ms | 68× | 1 | valid |
| 14.0ms | 133× | 0 | valid |
Compiled 101 to 20 computations (80.2% saved)
ival-log: 19.0ms (43.8% of total)ival-hypot: 9.0ms (20.7% of total)ival-add: 5.0ms (11.5% of total)adjust: 3.0ms (6.9% of total)ival-copysign: 3.0ms (6.9% of total)ival-fabs: 2.0ms (4.6% of total)ival-mult: 2.0ms (4.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 (*.f64 x x) #s(literal 1 binary64))> |
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)> |
#<alt (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))> |
#<alt (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))> |
#<alt (*.f64 x x)> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (pow x 2))> |
#<alt (+ 1 (pow x 2))> |
#<alt (+ 1 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 3) (+ 1 (fabs x)))))> |
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 3) (+ (* -1/720 (* (pow x 3) (+ (* 90 (/ 1 (+ 1 (fabs x)))) (* 90 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))> |
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 3) (+ (* (pow x 3) (+ (* -1/720 (+ (* 90 (/ 1 (+ 1 (fabs x)))) (* 90 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/362880 (* (pow x 3) (+ (* 22680 (/ 1 (+ 1 (fabs x)))) (+ (* 22680 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 15120 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))> |
#<alt (* -2 (log (/ 1 x)))> |
#<alt (+ (* -2 (log (/ 1 x))) (/ (fabs x) (pow x 2)))> |
#<alt (+ (* -2 (log (/ 1 x))) (+ (* 1/24 (/ (+ 12 (* -12 (pow (fabs x) 2))) (pow x 4))) (/ (fabs x) (pow x 2))))> |
#<alt (+ (* -2 (log (/ 1 x))) (+ (* 1/720 (/ (+ (* -360 (fabs x)) (* 240 (pow (fabs x) 3))) (pow x 6))) (+ (* 1/24 (/ (+ 12 (* -12 (pow (fabs x) 2))) (pow x 4))) (/ (fabs x) (pow x 2)))))> |
#<alt (+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (* -3 (log (/ -1 x))))> |
#<alt (+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -3 (log (/ -1 x))) (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1))))))> |
#<alt (+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -3 (log (/ -1 x))) (* -1 (/ (+ (* -1/720 (/ (+ (* -360 x) (* 360 (* x (pow (fabs x) 2)))) (pow x 3))) (* (sqrt x) (* (fabs x) (sqrt -1)))) (pow x 3)))))> |
#<alt (+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -3 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/362880 (/ (+ (* -181440 (* (sqrt (pow x 3)) (* (fabs x) (sqrt -1)))) (* 120960 (* (sqrt (pow x 3)) (* (pow (fabs x) 3) (sqrt -1))))) (pow x 3))) (* 1/720 (+ (* -360 x) (* 360 (* x (pow (fabs x) 2)))))) (pow x 3))) (* (sqrt x) (* (fabs x) (sqrt -1)))) (pow x 3)))))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 3))))> |
#<alt (+ 1 (+ (fabs x) (* (pow x 3) (+ 1/2 (* -1/8 (pow x 3))))))> |
#<alt (+ 1 (+ (fabs x) (* (pow x 3) (+ 1/2 (* (pow x 3) (- (* 1/16 (pow x 3)) 1/8))))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ (fabs x) (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (+ (/ 1/2 (pow x 4)) (/ (fabs x) (pow x 2)))))> |
#<alt (* (pow x 2) (- (+ 1 (+ (/ 1/2 (pow x 4)) (/ (fabs x) (pow x 2)))) (* 1/8 (/ 1 (pow x 8)))))> |
#<alt (* -1 (* (sqrt (pow x 5)) (sqrt -1)))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (fabs x) (pow x 3))) (* (sqrt (/ 1 x)) (sqrt -1)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (fabs x) (* -1/2 (* (sqrt (/ 1 (pow x 5))) (sqrt -1)))) (pow x 3))) (* (sqrt (/ 1 x)) (sqrt -1)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (pow x 9))) (sqrt -1))) (* 1/2 (* (sqrt x) (sqrt -1)))) (pow x 3)))) (pow x 3))) (* (sqrt (/ 1 x)) (sqrt -1)))))> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (log (+ (fabs x) (sqrt (+ (* x x) 1)))) |
| 2.0ms | x | @ | 0 | (log (+ (fabs x) (sqrt (+ (* x x) 1)))) |
| 1.0ms | x | @ | inf | (log (+ (fabs x) (sqrt (+ (* x x) 1)))) |
| 1.0ms | x | @ | -inf | (+ (fabs x) (sqrt (+ (* x x) 1))) |
| 0.0ms | x | @ | inf | (+ (* x x) 1) |
Compiled 168 to 126 computations (25% saved)
| 1× | batch-egg-rewrite |
| 5 872× | lower-fma.f64 |
| 5 872× | lower-fma.f32 |
| 3 070× | lower-*.f32 |
| 3 068× | lower-*.f64 |
| 2 316× | lower-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 39 |
| 0 | 16 | 39 |
| 1 | 51 | 39 |
| 2 | 324 | 39 |
| 3 | 3419 | 39 |
| 0 | 8352 | 35 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 x x) |
| Outputs |
|---|
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(exp.f64 (log1p.f64 (*.f64 x x))) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 x x))) #s(literal -1 binary64))) |
(hypot.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(hypot.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(hypot.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(hypot.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(hypot.f64 (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(hypot.f64 (*.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(fabs.f64 (fma.f64 x x #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(fma.f64 x (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 1 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 (neg.f64 x))) #s(literal 1 binary64)) |
(neg.f64 (fma.f64 x (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (fma.f64 x (/.f64 x (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(*.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (fma.f64 x (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))))) (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))))) (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (fma.f64 x x (fma.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 x x)) |
(fabs.f64 (*.f64 x (neg.f64 x))) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (fabs.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (fabs.f64 x))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(*.f64 x x) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x) |
(*.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 (neg.f64 x)))) |
| 1× | egg-herbie |
| 9 454× | lower-fma.f64 |
| 9 454× | lower-fma.f32 |
| 4 564× | lower-*.f64 |
| 4 564× | lower-*.f32 |
| 2 328× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 202 | 830 |
| 1 | 517 | 805 |
| 2 | 1827 | 788 |
| 3 | 5317 | 764 |
| 0 | 8054 | 697 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (pow x 2)) |
(+ 1 (pow x 2)) |
(+ 1 (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 3) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 3) (+ (* -1/720 (* (pow x 3) (+ (* 90 (/ 1 (+ 1 (fabs x)))) (* 90 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 3) (+ (* (pow x 3) (+ (* -1/720 (+ (* 90 (/ 1 (+ 1 (fabs x)))) (* 90 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/362880 (* (pow x 3) (+ (* 22680 (/ 1 (+ 1 (fabs x)))) (+ (* 22680 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 15120 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(* -2 (log (/ 1 x))) |
(+ (* -2 (log (/ 1 x))) (/ (fabs x) (pow x 2))) |
(+ (* -2 (log (/ 1 x))) (+ (* 1/24 (/ (+ 12 (* -12 (pow (fabs x) 2))) (pow x 4))) (/ (fabs x) (pow x 2)))) |
(+ (* -2 (log (/ 1 x))) (+ (* 1/720 (/ (+ (* -360 (fabs x)) (* 240 (pow (fabs x) 3))) (pow x 6))) (+ (* 1/24 (/ (+ 12 (* -12 (pow (fabs x) 2))) (pow x 4))) (/ (fabs x) (pow x 2))))) |
(+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (* -3 (log (/ -1 x)))) |
(+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -3 (log (/ -1 x))) (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))))) |
(+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -3 (log (/ -1 x))) (* -1 (/ (+ (* -1/720 (/ (+ (* -360 x) (* 360 (* x (pow (fabs x) 2)))) (pow x 3))) (* (sqrt x) (* (fabs x) (sqrt -1)))) (pow x 3))))) |
(+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -3 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/362880 (/ (+ (* -181440 (* (sqrt (pow x 3)) (* (fabs x) (sqrt -1)))) (* 120960 (* (sqrt (pow x 3)) (* (pow (fabs x) 3) (sqrt -1))))) (pow x 3))) (* 1/720 (+ (* -360 x) (* 360 (* x (pow (fabs x) 2)))))) (pow x 3))) (* (sqrt x) (* (fabs x) (sqrt -1)))) (pow x 3))))) |
(+ 1 (fabs x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 3)))) |
(+ 1 (+ (fabs x) (* (pow x 3) (+ 1/2 (* -1/8 (pow x 3)))))) |
(+ 1 (+ (fabs x) (* (pow x 3) (+ 1/2 (* (pow x 3) (- (* 1/16 (pow x 3)) 1/8)))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (fabs x) (pow x 2)))) |
(* (pow x 2) (+ 1 (+ (/ 1/2 (pow x 4)) (/ (fabs x) (pow x 2))))) |
(* (pow x 2) (- (+ 1 (+ (/ 1/2 (pow x 4)) (/ (fabs x) (pow x 2)))) (* 1/8 (/ 1 (pow x 8))))) |
(* -1 (* (sqrt (pow x 5)) (sqrt -1))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (fabs x) (pow x 3))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (fabs x) (* -1/2 (* (sqrt (/ 1 (pow x 5))) (sqrt -1)))) (pow x 3))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (pow x 9))) (sqrt -1))) (* 1/2 (* (sqrt x) (sqrt -1)))) (pow x 3)))) (pow x 3))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
x |
x |
x |
x |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 3) (+ 1 (fabs x))))) |
(fma.f64 (*.f64 x x) (*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 3) (+ (* -1/720 (* (pow x 3) (+ (* 90 (/ 1 (+ 1 (fabs x)))) (* 90 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/720 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 90 binary64) (/.f64 #s(literal 90 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 3) (+ (* (pow x 3) (+ (* -1/720 (+ (* 90 (/ 1 (+ 1 (fabs x)))) (* 90 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/362880 (* (pow x 3) (+ (* 22680 (/ 1 (+ 1 (fabs x)))) (+ (* 22680 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 15120 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (fma.f64 #s(literal 1/362880 binary64) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 22680 binary64) (/.f64 #s(literal 22680 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 15120 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))))) (/.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x))) |
(* -2 (log (/ 1 x))) |
(*.f64 #s(literal 2 binary64) (log.f64 x)) |
(+ (* -2 (log (/ 1 x))) (/ (fabs x) (pow x 2))) |
(fma.f64 #s(literal 2 binary64) (log.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(+ (* -2 (log (/ 1 x))) (+ (* 1/24 (/ (+ 12 (* -12 (pow (fabs x) 2))) (pow x 4))) (/ (fabs x) (pow x 2)))) |
(fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -12 binary64) #s(literal 12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 2 binary64) (log.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(+ (* -2 (log (/ 1 x))) (+ (* 1/720 (/ (+ (* -360 (fabs x)) (* 240 (pow (fabs x) 3))) (pow x 6))) (+ (* 1/24 (/ (+ 12 (* -12 (pow (fabs x) 2))) (pow x 4))) (/ (fabs x) (pow x 2))))) |
(fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -12 binary64) #s(literal 12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 (*.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 240 binary64) #s(literal -360 binary64))) (/.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal 2 binary64) (log.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (* -3 (log (/ -1 x)))) |
(fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) |
(+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -3 (log (/ -1 x))) (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))))) |
(-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (fabs.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
(+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -3 (log (/ -1 x))) (* -1 (/ (+ (* -1/720 (/ (+ (* -360 x) (* 360 (* x (pow (fabs x) 2)))) (pow x 3))) (* (sqrt x) (* (fabs x) (sqrt -1)))) (pow x 3))))) |
(-.f64 (fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 (fma.f64 (fabs.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) (/.f64 (*.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) |
(+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -3 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/362880 (/ (+ (* -181440 (* (sqrt (pow x 3)) (* (fabs x) (sqrt -1)))) (* 120960 (* (sqrt (pow x 3)) (* (pow (fabs x) 3) (sqrt -1))))) (pow x 3))) (* 1/720 (+ (* -360 x) (* 360 (* x (pow (fabs x) 2)))))) (pow x 3))) (* (sqrt x) (* (fabs x) (sqrt -1)))) (pow x 3))))) |
(+.f64 (fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 120960 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 x x) (fabs.f64 x))) (*.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal -1 binary64))) #s(literal -181440 binary64)))) (/.f64 #s(literal -1/362880 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 (fabs.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))) (*.f64 x (*.f64 x x)))) |
(+ 1 (fabs x)) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 3)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x))) |
(+ 1 (+ (fabs x) (* (pow x 3) (+ 1/2 (* -1/8 (pow x 3)))))) |
(+.f64 (fabs.f64 x) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(+ 1 (+ (fabs x) (* (pow x 3) (+ 1/2 (* (pow x 3) (- (* 1/16 (pow x 3)) 1/8)))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ (fabs x) (pow x 2)))) |
(fma.f64 x x (fabs.f64 x)) |
(* (pow x 2) (+ 1 (+ (/ 1/2 (pow x 4)) (/ (fabs x) (pow x 2))))) |
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (fabs.f64 x)) |
(* (pow x 2) (- (+ 1 (+ (/ 1/2 (pow x 4)) (/ (fabs x) (pow x 2)))) (* 1/8 (/ 1 (pow x 8))))) |
(fma.f64 x x (fma.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 8 binary64)))) (fabs.f64 x))) |
(* -1 (* (sqrt (pow x 5)) (sqrt -1))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (fabs x) (pow x 3))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (fabs.f64 x)) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (fabs x) (* -1/2 (* (sqrt (/ 1 (pow x 5))) (sqrt -1)))) (pow x 3))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64)) (fabs.f64 x)) #s(literal 1 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (pow x 9))) (sqrt -1))) (* 1/2 (* (sqrt x) (sqrt -1)))) (pow x 3)))) (pow x 3))) (* (sqrt (/ 1 x)) (sqrt -1))))) |
(fma.f64 (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x (*.f64 x x))) (fabs.f64 x)) #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))) |
x |
x |
x |
x |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
Compiled 9 831 to 1 575 computations (84% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 310 | 10 | 320 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 311 | 10 | 321 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 59.2% | (copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) |
| 5.7% | (copysign.f64 (-.f64 (log.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (log.f64 (fma.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))) x) | |
| ▶ | 71.7% | (copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
| 9.9% | (copysign.f64 (+.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))))))) (log.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) x) | |
| ▶ | 27.4% | (copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x) |
| 6.4% | (copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) x) | |
| ▶ | 64.9% | (copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
| 27.4% | (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) | |
| ▶ | 25.0% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (*.f64 x x)))) x) |
| 19.5% | (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
Compiled 852 to 252 computations (70.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
| ✓ | cost-diff | 0 | (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
| ✓ | cost-diff | 0 | (copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) |
| ✓ | cost-diff | 64 | (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
| ✓ | cost-diff | 0 | (copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x) |
| ✓ | cost-diff | 256 | (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 576 | (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
| ✓ | cost-diff | 704 | (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (fabs.f64 x) (sqrt.f64 (*.f64 x x))) |
| ✓ | cost-diff | 0 | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (*.f64 x x)))) x) |
| ✓ | cost-diff | 832 | (sqrt.f64 (*.f64 x x)) |
| ✓ | cost-diff | 0 | (fabs.f64 x) |
| ✓ | cost-diff | 0 | (log1p.f64 (fabs.f64 x)) |
| ✓ | cost-diff | 0 | (copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
| ✓ | cost-diff | 0 | (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
| ✓ | cost-diff | 0 | (copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
| ✓ | cost-diff | 64 | (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
| ✓ | cost-diff | 64 | (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
| 2 848× | lower-fma.f32 |
| 2 840× | lower-fma.f64 |
| 1 056× | lower-*.f32 |
| 1 050× | lower-*.f64 |
| 596× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 520 |
| 0 | 65 | 500 |
| 1 | 96 | 494 |
| 2 | 138 | 490 |
| 3 | 213 | 490 |
| 4 | 365 | 482 |
| 5 | 562 | 482 |
| 6 | 937 | 482 |
| 7 | 1450 | 482 |
| 8 | 2293 | 482 |
| 9 | 2727 | 482 |
| 10 | 3073 | 482 |
| 11 | 3201 | 482 |
| 12 | 3277 | 482 |
| 13 | 3280 | 482 |
| 14 | 3281 | 482 |
| 15 | 3311 | 482 |
| 16 | 3323 | 482 |
| 0 | 3323 | 473 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
(+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
(log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
x |
(*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(fabs.f64 x) |
(-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) |
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(log1p.f64 (fabs.f64 x)) |
(fabs.f64 x) |
x |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (*.f64 x x)))) x) |
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (*.f64 x x)))) |
(+.f64 (fabs.f64 x) (sqrt.f64 (*.f64 x x))) |
(fabs.f64 x) |
x |
(sqrt.f64 (*.f64 x x)) |
(*.f64 x x) |
(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x) |
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) |
(log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
#s(literal 1 binary64) |
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(fabs.f64 x) |
x |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) |
(-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
x |
(*.f64 x x) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(fma.f64 x x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(fabs.f64 x) |
(-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
| Outputs |
|---|
(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
(copysign.f64 (+.f64 (log1p.f64 (*.f64 (neg.f64 (fabs.f64 x)) (fma.f64 (fabs.f64 x) #s(literal -2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (neg.f64 (fabs.f64 x)) (fma.f64 (fabs.f64 x) #s(literal -2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))) x) |
(+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
(+.f64 (log1p.f64 (*.f64 (neg.f64 (fabs.f64 x)) (fma.f64 (fabs.f64 x) #s(literal -2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (neg.f64 (fabs.f64 x)) (fma.f64 (fabs.f64 x) #s(literal -2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))) |
(log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(log1p.f64 (*.f64 (neg.f64 (fabs.f64 x)) (fma.f64 (fabs.f64 x) #s(literal -2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (neg.f64 (fabs.f64 x)) (fma.f64 (fabs.f64 x) #s(literal -2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
x |
(*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(fabs.f64 x) |
(-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) |
(log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (neg.f64 (fabs.f64 x)) (fma.f64 (fabs.f64 x) #s(literal -2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (neg.f64 (fabs.f64 x)) (fma.f64 (fabs.f64 x) #s(literal -2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (fabs.f64 x)) (fma.f64 (fabs.f64 x) #s(literal -2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(log1p.f64 (fabs.f64 x)) |
(fabs.f64 x) |
x |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (*.f64 x x)))) x) |
(copysign.f64 (log.f64 (*.f64 (fabs.f64 x) #s(literal 2 binary64))) x) |
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (*.f64 x x)))) |
(log.f64 (*.f64 (fabs.f64 x) #s(literal 2 binary64))) |
(+.f64 (fabs.f64 x) (sqrt.f64 (*.f64 x x))) |
(*.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(fabs.f64 x) |
x |
(sqrt.f64 (*.f64 x x)) |
(fabs.f64 x) |
(*.f64 x x) |
(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) |
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) |
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(neg.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
#s(literal 1 binary64) |
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(fabs.f64 x) |
x |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) |
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (*.f64 (neg.f64 (fabs.f64 x)) (fma.f64 (fabs.f64 x) #s(literal -2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x) |
(-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (*.f64 (neg.f64 (fabs.f64 x)) (fma.f64 (fabs.f64 x) #s(literal -2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
x |
(*.f64 x x) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(fma.f64 x x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(log1p.f64 (*.f64 (neg.f64 (fabs.f64 x)) (fma.f64 (fabs.f64 x) #s(literal -2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (neg.f64 (fabs.f64 x)) (fma.f64 (fabs.f64 x) #s(literal -2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(fabs.f64 x) |
(-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 4.0% | (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
| ✓ | accuracy | 3.3% | (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
| ✓ | accuracy | 2.5% | (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
| ✓ | accuracy | 1.7% | (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
| ✓ | accuracy | 5.6% | (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) |
| ✓ | accuracy | 4.5% | (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
| ✓ | accuracy | 3.3% | (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) |
| ✓ | accuracy | 3.3% | (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
| ✓ | accuracy | 24.8% | (sqrt.f64 (*.f64 x x)) |
| ✓ | accuracy | 7.1% | (*.f64 x x) |
| ✓ | accuracy | 3.5% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (*.f64 x x)))) x) |
| ✓ | accuracy | 3.5% | (+.f64 (fabs.f64 x) (sqrt.f64 (*.f64 x x))) |
| ✓ | accuracy | 53.6% | (copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
| ✓ | accuracy | 53.6% | (log1p.f64 (fabs.f64 x)) |
| ✓ | accuracy | 52.9% | (fabs.f64 x) |
| ✓ | accuracy | 3.3% | (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
| ✓ | accuracy | 3.2% | (copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
| ✓ | accuracy | 3.0% | (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) |
| ✓ | accuracy | 2.5% | (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
| 190.0ms | 193× | 1 | valid |
| 120.0ms | 54× | 2 | valid |
| 5.0ms | 9× | 0 | valid |
Compiled 1 125 to 67 computations (94% saved)
ival-log: 94.0ms (36.4% of total)ival-sub: 48.0ms (18.6% of total)adjust: 22.0ms (8.5% of total)ival-log1p: 21.0ms (8.1% of total)ival-copysign: 17.0ms (6.6% of total)ival-add: 16.0ms (6.2% of total)ival-hypot: 13.0ms (5% of total)ival-mult: 11.0ms (4.3% of total)ival-div: 10.0ms (3.9% of total)ival-neg: 2.0ms (0.8% of total)ival-sqrt: 2.0ms (0.8% of total)ival-fabs: 1.0ms (0.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))> |
#<alt (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))> |
#<alt (copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x)> |
#<alt (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))> |
#<alt (copysign.f64 (log1p.f64 (fabs.f64 x)) x)> |
#<alt (log1p.f64 (fabs.f64 x))> |
#<alt (fabs.f64 x)> |
#<alt (sqrt.f64 (*.f64 x x))> |
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (*.f64 x x)))) x)> |
#<alt (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (*.f64 x x))))> |
#<alt (+.f64 (fabs.f64 x) (sqrt.f64 (*.f64 x x)))> |
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))> |
#<alt (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))> |
#<alt (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))))> |
#<alt (copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x)> |
#<alt (copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x)> |
#<alt (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))> |
#<alt (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))> |
#<alt (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))> |
#<alt (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))> |
#<alt (*.f64 x x)> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))> |
#<alt (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))> |
| Outputs |
|---|
#<alt (* (fabs x) (- (fabs x) 1))> |
#<alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (* -1/2 (fabs x)))))> |
#<alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 3) (fabs x)))))))> |
#<alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 3) (+ (* -1/16 (* (pow x 3) (fabs x))) (* 1/8 (fabs x))))))))> |
#<alt (pow x 4)> |
#<alt (* (pow x 4) (+ 1 (* -1 (/ (fabs x) (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1 (+ (* -1 (/ (fabs x) (pow x 2))) (/ (pow (fabs x) 2) (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1 (+ (* -1 (/ (fabs x) (pow x 2))) (+ (* -1/2 (/ (fabs x) (pow x 6))) (/ (pow (fabs x) 2) (pow x 4))))))> |
#<alt (* -1 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (+ 1 (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))))))> |
#<alt (* -1 (* (pow x 5) (+ 1 (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (* -1 (/ (pow (fabs x) 2) (pow x 5)))))))> |
#<alt (* -1 (* (pow x 5) (+ 1 (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (pow (fabs x) 2)) (pow x 5)))))))> |
#<alt (+ 1 (* (fabs x) (- (fabs x) 1)))> |
#<alt (+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (* -1/2 (fabs x))))))> |
#<alt (+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 3) (fabs x))))))))> |
#<alt (+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 3) (+ (* -1/16 (* (pow x 3) (fabs x))) (* 1/8 (fabs x)))))))))> |
#<alt (pow x 4)> |
#<alt (* (pow x 4) (+ 1 (* -1 (/ (fabs x) (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1 (+ (* -1 (/ (fabs x) (pow x 2))) (+ (/ 1 (pow x 4)) (/ (pow (fabs x) 2) (pow x 4))))))> |
#<alt (* (pow x 4) (+ 1 (+ (* -1 (/ (fabs x) (pow x 2))) (+ (* -1/2 (/ (fabs x) (pow x 6))) (+ (/ 1 (pow x 4)) (/ (pow (fabs x) 2) (pow x 4)))))))> |
#<alt (* -1 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (+ 1 (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))))))> |
#<alt (* -1 (* (pow x 5) (+ 1 (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (* -1 (/ (+ 1 (pow (fabs x) 2)) (pow x 5)))))))> |
#<alt (* -1 (* (pow x 5) (+ 1 (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (* -1 (/ (+ 1 (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (pow (fabs x) 2))) (pow x 5)))))))> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))))> |
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 3) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x))))))))> |
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 3) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 3) (+ (* 1/720 (+ (* -720 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -360 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2))))) (* 1/720 (+ (* -360 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 90 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x)))))))))> |
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 3) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 3) (+ (* 1/720 (+ (* -720 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -360 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2))))) (+ (* 1/720 (+ (* -360 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 90 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (* (pow x 3) (+ (* 1/362880 (+ (* -45360 (/ (* (fabs x) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* -22680 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 120960 (/ (pow (+ 1 (* -1/2 (fabs x))) 3) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3)))))) (* 1/362880 (+ (* 120960 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 3)) (pow (+ 1 (fabs x)) 3))) (+ (* 362880 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/16 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/16 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 1/8 (/ (* (fabs x) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ 1 (fabs x)))) (* 362880 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (* (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (pow (+ 1 (fabs x)) 2))))))))))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x)))))))))> |
#<alt (+ (* -4 (log (/ 1 x))) (* 2 (log (/ 1 x))))> |
#<alt (+ (* -4 (log (/ 1 x))) (+ (* 2 (log (/ 1 x))) (/ (fabs x) (pow x 2))))> |
#<alt (+ (* -4 (log (/ 1 x))) (+ (* 1/24 (/ (+ (* -24 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -12 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 4))) (+ (* 1/24 (/ (+ (* -12 (pow (fabs x) 2)) (* 24 (+ 1 (pow (fabs x) 2)))) (pow x 4))) (+ (* 2 (log (/ 1 x))) (/ (fabs x) (pow x 2))))))> |
#<alt (+ (* -4 (log (/ 1 x))) (+ (* 1/720 (/ (+ (* -720 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 240 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 720 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) (pow x 6))) (+ (* 1/720 (/ (+ (* -360 (fabs x)) (+ (* -240 (pow (fabs x) 3)) (* 720 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) (pow x 6))) (+ (* 1/24 (/ (+ (* -24 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -12 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 4))) (+ (* 1/24 (/ (+ (* -12 (pow (fabs x) 2)) (* 24 (+ 1 (pow (fabs x) 2)))) (pow x 4))) (+ (* 2 (log (/ 1 x))) (/ (fabs x) (pow x 2))))))))> |
#<alt (+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -5 (log (/ -1 x))) (* 2 (log (/ -1 x)))))> |
#<alt (+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -5 (log (/ -1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (+ (* 2 (log (/ -1 x))) (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))))))> |
#<alt (+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -5 (log (/ -1 x))) (+ (* -2 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (+ (* 2 (log (/ -1 x))) (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))))))> |
#<alt (+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -5 (log (/ -1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/24 (+ (* -24 (/ (pow (fabs x) 2) x)) (* 12 (/ (pow (fabs x) 2) x)))) (* 1/2 (/ (pow (fabs x) 2) x))) x)) (* (sqrt x) (* (fabs x) (sqrt -1)))) (pow x 3))) (+ (* 2 (log (/ -1 x))) (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1))))))))> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (copysign (log (+ x (fabs x))) x)> |
#<alt (copysign (log (+ x (fabs x))) x)> |
#<alt (copysign (log (+ x (fabs x))) x)> |
#<alt (copysign (log (+ x (fabs x))) x)> |
#<alt (copysign (log (+ x (fabs x))) x)> |
#<alt (copysign (log (+ x (fabs x))) x)> |
#<alt (copysign (log (+ x (fabs x))) x)> |
#<alt (copysign (log (+ x (fabs x))) x)> |
#<alt (copysign (log (+ (fabs x) (* -1 x))) x)> |
#<alt (copysign (log (+ (fabs x) (* -1 x))) x)> |
#<alt (copysign (log (+ (fabs x) (* -1 x))) x)> |
#<alt (copysign (log (+ (fabs x) (* -1 x))) x)> |
#<alt (log (fabs x))> |
#<alt (+ (log (fabs x)) (/ x (fabs x)))> |
#<alt (+ (log (fabs x)) (* x (+ (* -1/2 (/ x (pow (fabs x) 2))) (/ 1 (fabs x)))))> |
#<alt (+ (log (fabs x)) (* x (+ (* x (- (* 1/3 (/ x (pow (fabs x) 3))) (* 1/2 (/ 1 (pow (fabs x) 2))))) (/ 1 (fabs x)))))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))> |
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (/ (fabs x) x)))> |
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (+ (* 1/3 (/ (pow (fabs x) 3) (pow x 3))) (/ (fabs x) x))))> |
#<alt (* -1 (log (/ -1 x)))> |
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))> |
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* 1/2 (/ (pow (fabs x) 2) x))) x)))> |
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* -1/3 (/ (pow (fabs x) 3) x))) x))) x)))> |
#<alt (fabs x)> |
#<alt (+ x (fabs x))> |
#<alt (+ x (fabs x))> |
#<alt (+ x (fabs x))> |
#<alt x> |
#<alt (* x (+ 1 (/ (fabs x) x)))> |
#<alt (* x (+ 1 (/ (fabs x) x)))> |
#<alt (* x (+ 1 (/ (fabs x) x)))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))> |
#<alt (/ 1 (+ 1 (fabs x)))> |
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#<alt (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 3) (+ (* 1/720 (* (pow x 3) (+ (* -720 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -360 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2)))))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x))))))> |
#<alt (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 3) (+ (* (pow x 3) (+ (* 1/362880 (* (pow x 3) (+ (* 120960 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 3)) (pow (+ 1 (fabs x)) 3))) (+ (* 362880 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/16 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/16 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 1/8 (/ (* (fabs x) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ 1 (fabs x)))) (* 362880 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (* (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (pow (+ 1 (fabs x)) 2))))))) (* 1/720 (+ (* -720 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -360 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2))))))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x))))))> |
#<alt (* 2 (log (/ 1 x)))> |
#<alt (- (+ (* 2 (log (/ 1 x))) (/ (fabs x) (pow x 2))) (* -1 (/ (fabs x) (pow x 2))))> |
#<alt (- (+ (* 1/24 (/ (+ (* -24 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -12 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 4))) (+ (* 2 (log (/ 1 x))) (/ (fabs x) (pow x 2)))) (* -1 (/ (fabs x) (pow x 2))))> |
#<alt (- (+ (* 1/720 (/ (+ (* -720 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 240 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 720 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) (pow x 6))) (+ (* 1/24 (/ (+ (* -24 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -12 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 4))) (+ (* 2 (log (/ 1 x))) (/ (fabs x) (pow x 2))))) (* -1 (/ (fabs x) (pow x 2))))> |
#<alt (+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (* 2 (log (/ -1 x))))> |
#<alt (+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* 2 (log (/ -1 x))) (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))))> |
#<alt (+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (+ (* 2 (log (/ -1 x))) (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1))))))> |
#<alt (+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (/ (pow (fabs x) 2) x)) (* 12 (/ (pow (fabs x) 2) x))) x)) (* (sqrt x) (* (fabs x) (sqrt -1)))) (pow x 3))) (+ (* 2 (log (/ -1 x))) (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1))))))> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (/ 1 (+ 1 (fabs x)))> |
#<alt (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (fabs x)) 2))) (/ 1 (+ 1 (fabs x))))> |
#<alt (+ (* (pow x 3) (- (* (pow x 3) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))> |
#<alt (+ (* (pow x 3) (- (* (pow x 3) (+ (* -1 (* (pow x 3) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x))))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ (+ 1 (* -1 (/ (fabs x) (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (+ 1/2 (* -1 (pow (fabs x) 2))) (pow x 4)))) (/ (fabs x) (pow x 2))) (pow x 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x))) (pow x 6)))) (+ (* -1 (/ (pow (fabs x) 2) (pow x 4))) (+ (/ 1/2 (pow x 4)) (/ (fabs x) (pow x 2))))) (pow x 2))> |
#<alt (* -1 (* (sqrt (/ 1 (pow x 5))) (sqrt -1)))> |
#<alt (* -1 (/ (+ (* -1 (/ (fabs x) (pow x 2))) (* (sqrt x) (sqrt -1))) (pow x 3)))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (* (pow (fabs x) 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1)))) (* -1 (* x (fabs x)))) (pow x 3))) (* (sqrt x) (sqrt -1))) (pow x 3)))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (* (sqrt -1) (+ (* -1 (* (sqrt (pow x 3)) (* (pow (fabs x) 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow x 3)) (sqrt -1)))))))) (* -1/2 (/ (fabs x) x))) (+ (* -1 (* (sqrt (pow x 3)) (* (pow (fabs x) 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow x 3)) (sqrt -1))))) (pow x 3))) (* -1 (* x (fabs x)))) (pow x 3))) (* (sqrt x) (sqrt -1))) (pow x 3)))> |
#<alt 1> |
#<alt (+ 1 (* 5/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 5/2 (* 15/8 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 5/2 (* (pow x 2) (+ 15/8 x)))))> |
#<alt (* 2 (pow x 6))> |
#<alt (* (pow x 6) (+ 2 (* 3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 2 (+ (* 3 (/ 1 (pow x 2))) (/ 3 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 2 (+ (* 3 (/ 1 (pow x 2))) (+ (/ 1 (pow x 6)) (/ 3 (pow x 4))))))> |
#<alt (* 3 (pow x 4))> |
#<alt (* (pow x 4) (+ 3 (* 3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 3 (+ (* 3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 3 (+ (* 3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 60.0ms | x | @ | 0 | (log (+ 1 (fabs x))) |
| 19.0ms | x | @ | 0 | (- (log (+ (* x (* x x)) (* (+ (* x x) 1) (sqrt (+ (* x x) 1))))) (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))))) |
| 16.0ms | x | @ | -inf | (log (+ 1 (fabs x))) |
| 15.0ms | x | @ | inf | (log (+ 1 (fabs x))) |
| 10.0ms | x | @ | 0 | (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) |
Compiled 1 477 to 764 computations (48.3% saved)
| 1× | batch-egg-rewrite |
| 5 822× | lower-fma.f32 |
| 5 814× | lower-fma.f64 |
| 4 608× | lower-/.f32 |
| 4 602× | lower-/.f64 |
| 4 114× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 353 |
| 0 | 65 | 333 |
| 1 | 245 | 272 |
| 2 | 1995 | 272 |
| 0 | 9082 | 272 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
(+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(log1p.f64 (fabs.f64 x)) |
(fabs.f64 x) |
(sqrt.f64 (*.f64 x x)) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (*.f64 x x)))) x) |
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (*.f64 x x)))) |
(+.f64 (fabs.f64 x) (sqrt.f64 (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) |
(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x) |
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) |
(-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
| Outputs |
|---|
(+.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(+.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(+.f64 (*.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) (*.f64 x x)) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 x x)) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (/.f64 (*.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 (*.f64 x x) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x x)))) |
(fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 x x (*.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 x x (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x (*.f64 x x)) |
(fma.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 x #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)) (*.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x x)) |
(fma.f64 (sqrt.f64 x) (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1 binary64)) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (sqrt.f64 x) (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (sqrt.f64 x) (fabs.f64 (*.f64 x (sqrt.f64 x))) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (sqrt.f64 x) (fabs.f64 (*.f64 x (sqrt.f64 x))) (*.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) (fabs.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
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(pow.f64 (/.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 (log.f64 (/.f64 (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (/.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))))) #s(literal -1 binary64)) |
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(copysign.f64 (log1p.f64 x) x) |
(log.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
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(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x))) |
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 x))) |
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) |
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(log1p.f64 x) |
x |
(exp.f64 (log.f64 x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64))) |
(fabs.f64 x) |
(fabs.f64 (neg.f64 x)) |
(fabs.f64 (neg.f64 (neg.f64 x))) |
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 x)))) |
(fabs.f64 (-.f64 x #s(literal 0 binary64))) |
(sqrt.f64 (*.f64 x x)) |
(pow.f64 x #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) |
(*.f64 x #s(literal 1 binary64)) |
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(*.f64 (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) |
x |
(exp.f64 (log.f64 x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64))) |
(fabs.f64 x) |
(fabs.f64 (neg.f64 x)) |
(fabs.f64 (neg.f64 (neg.f64 x))) |
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 x)))) |
(fabs.f64 (-.f64 x #s(literal 0 binary64))) |
(sqrt.f64 (*.f64 x x)) |
(pow.f64 x #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))))) |
(pow.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
| 1× | egg-herbie |
| 11 512× | lower-fma.f64 |
| 11 512× | lower-fma.f32 |
| 6 776× | lower-*.f64 |
| 6 776× | lower-*.f32 |
| 6 690× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 889 | 8688 |
| 1 | 2834 | 8213 |
| 0 | 9103 | 7491 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (fabs x) (- (fabs x) 1)) |
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (* -1/2 (fabs x))))) |
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 3) (fabs x))))))) |
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 3) (+ (* -1/16 (* (pow x 3) (fabs x))) (* 1/8 (fabs x)))))))) |
(pow x 4) |
(* (pow x 4) (+ 1 (* -1 (/ (fabs x) (pow x 2))))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ (fabs x) (pow x 2))) (/ (pow (fabs x) 2) (pow x 4))))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ (fabs x) (pow x 2))) (+ (* -1/2 (/ (fabs x) (pow x 6))) (/ (pow (fabs x) 2) (pow x 4)))))) |
(* -1 (pow x 5)) |
(* -1 (* (pow x 5) (+ 1 (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1))))))) |
(* -1 (* (pow x 5) (+ 1 (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (* -1 (/ (pow (fabs x) 2) (pow x 5))))))) |
(* -1 (* (pow x 5) (+ 1 (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (pow (fabs x) 2)) (pow x 5))))))) |
(+ 1 (* (fabs x) (- (fabs x) 1))) |
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (* -1/2 (fabs x)))))) |
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 3) (fabs x)))))))) |
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 3) (+ (* -1/16 (* (pow x 3) (fabs x))) (* 1/8 (fabs x))))))))) |
(pow x 4) |
(* (pow x 4) (+ 1 (* -1 (/ (fabs x) (pow x 2))))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ (fabs x) (pow x 2))) (+ (/ 1 (pow x 4)) (/ (pow (fabs x) 2) (pow x 4)))))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ (fabs x) (pow x 2))) (+ (* -1/2 (/ (fabs x) (pow x 6))) (+ (/ 1 (pow x 4)) (/ (pow (fabs x) 2) (pow x 4))))))) |
(* -1 (pow x 5)) |
(* -1 (* (pow x 5) (+ 1 (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1))))))) |
(* -1 (* (pow x 5) (+ 1 (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (* -1 (/ (+ 1 (pow (fabs x) 2)) (pow x 5))))))) |
(* -1 (* (pow x 5) (+ 1 (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (* -1 (/ (+ 1 (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (pow (fabs x) 2))) (pow x 5))))))) |
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(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
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(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1)))))) |
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 3) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x)))))))) |
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 3) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 3) (+ (* 1/720 (+ (* -720 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -360 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2))))) (* 1/720 (+ (* -360 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 90 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x))))))))) |
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 3) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 3) (+ (* 1/720 (+ (* -720 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -360 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2))))) (+ (* 1/720 (+ (* -360 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 90 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (* (pow x 3) (+ (* 1/362880 (+ (* -45360 (/ (* (fabs x) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* -22680 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 120960 (/ (pow (+ 1 (* -1/2 (fabs x))) 3) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3)))))) (* 1/362880 (+ (* 120960 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 3)) (pow (+ 1 (fabs x)) 3))) (+ (* 362880 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/16 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/16 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 1/8 (/ (* (fabs x) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ 1 (fabs x)))) (* 362880 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (* (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (pow (+ 1 (fabs x)) 2))))))))))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x))))))))) |
(+ (* -4 (log (/ 1 x))) (* 2 (log (/ 1 x)))) |
(+ (* -4 (log (/ 1 x))) (+ (* 2 (log (/ 1 x))) (/ (fabs x) (pow x 2)))) |
(+ (* -4 (log (/ 1 x))) (+ (* 1/24 (/ (+ (* -24 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -12 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 4))) (+ (* 1/24 (/ (+ (* -12 (pow (fabs x) 2)) (* 24 (+ 1 (pow (fabs x) 2)))) (pow x 4))) (+ (* 2 (log (/ 1 x))) (/ (fabs x) (pow x 2)))))) |
(+ (* -4 (log (/ 1 x))) (+ (* 1/720 (/ (+ (* -720 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 240 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 720 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) (pow x 6))) (+ (* 1/720 (/ (+ (* -360 (fabs x)) (+ (* -240 (pow (fabs x) 3)) (* 720 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) (pow x 6))) (+ (* 1/24 (/ (+ (* -24 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -12 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 4))) (+ (* 1/24 (/ (+ (* -12 (pow (fabs x) 2)) (* 24 (+ 1 (pow (fabs x) 2)))) (pow x 4))) (+ (* 2 (log (/ 1 x))) (/ (fabs x) (pow x 2)))))))) |
(+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -5 (log (/ -1 x))) (* 2 (log (/ -1 x))))) |
(+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -5 (log (/ -1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (+ (* 2 (log (/ -1 x))) (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1))))))) |
(+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -5 (log (/ -1 x))) (+ (* -2 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (+ (* 2 (log (/ -1 x))) (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1))))))) |
(+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -5 (log (/ -1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/24 (+ (* -24 (/ (pow (fabs x) 2) x)) (* 12 (/ (pow (fabs x) 2) x)))) (* 1/2 (/ (pow (fabs x) 2) x))) x)) (* (sqrt x) (* (fabs x) (sqrt -1)))) (pow x 3))) (+ (* 2 (log (/ -1 x))) (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))))))) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
x |
x |
x |
x |
x |
x |
x |
x |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(copysign (log (+ x (fabs x))) x) |
(copysign (log (+ x (fabs x))) x) |
(copysign (log (+ x (fabs x))) x) |
(copysign (log (+ x (fabs x))) x) |
(copysign (log (+ x (fabs x))) x) |
(copysign (log (+ x (fabs x))) x) |
(copysign (log (+ x (fabs x))) x) |
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(+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (pow x 3) (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (+ 1 (fabs x)))) |
(+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 3) (+ (* 1/720 (* (pow x 3) (+ (* -720 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -360 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2)))))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x)))))) |
(+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 3) (+ (* (pow x 3) (+ (* 1/362880 (* (pow x 3) (+ (* 120960 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 3)) (pow (+ 1 (fabs x)) 3))) (+ (* 362880 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/16 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/16 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 1/8 (/ (* (fabs x) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ 1 (fabs x)))) (* 362880 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (* (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (pow (+ 1 (fabs x)) 2))))))) (* 1/720 (+ (* -720 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -360 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2))))))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x)))))) |
(* 2 (log (/ 1 x))) |
(- (+ (* 2 (log (/ 1 x))) (/ (fabs x) (pow x 2))) (* -1 (/ (fabs x) (pow x 2)))) |
(- (+ (* 1/24 (/ (+ (* -24 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -12 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 4))) (+ (* 2 (log (/ 1 x))) (/ (fabs x) (pow x 2)))) (* -1 (/ (fabs x) (pow x 2)))) |
(- (+ (* 1/720 (/ (+ (* -720 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 240 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 720 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) (pow x 6))) (+ (* 1/24 (/ (+ (* -24 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -12 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 4))) (+ (* 2 (log (/ 1 x))) (/ (fabs x) (pow x 2))))) (* -1 (/ (fabs x) (pow x 2)))) |
(+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (* 2 (log (/ -1 x)))) |
(+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* 2 (log (/ -1 x))) (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1))))) |
(+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (+ (* 2 (log (/ -1 x))) (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))))) |
(+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (/ (pow (fabs x) 2) x)) (* 12 (/ (pow (fabs x) 2) x))) x)) (* (sqrt x) (* (fabs x) (sqrt -1)))) (pow x 3))) (+ (* 2 (log (/ -1 x))) (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))))) |
x |
x |
x |
x |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ 1 (+ 1 (fabs x))) |
(+ (* -1/2 (/ (pow x 3) (pow (+ 1 (fabs x)) 2))) (/ 1 (+ 1 (fabs x)))) |
(+ (* (pow x 3) (- (* (pow x 3) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x)))) |
(+ (* (pow x 3) (- (* (pow x 3) (+ (* -1 (* (pow x 3) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x)))) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1 (/ (fabs x) (pow x 2)))) (pow x 2)) |
(/ (- (+ 1 (* -1 (/ (+ 1/2 (* -1 (pow (fabs x) 2))) (pow x 4)))) (/ (fabs x) (pow x 2))) (pow x 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x))) (pow x 6)))) (+ (* -1 (/ (pow (fabs x) 2) (pow x 4))) (+ (/ 1/2 (pow x 4)) (/ (fabs x) (pow x 2))))) (pow x 2)) |
(* -1 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) |
(* -1 (/ (+ (* -1 (/ (fabs x) (pow x 2))) (* (sqrt x) (sqrt -1))) (pow x 3))) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (* (pow (fabs x) 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1)))) (* -1 (* x (fabs x)))) (pow x 3))) (* (sqrt x) (sqrt -1))) (pow x 3))) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (* (sqrt -1) (+ (* -1 (* (sqrt (pow x 3)) (* (pow (fabs x) 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow x 3)) (sqrt -1)))))))) (* -1/2 (/ (fabs x) x))) (+ (* -1 (* (sqrt (pow x 3)) (* (pow (fabs x) 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow x 3)) (sqrt -1))))) (pow x 3))) (* -1 (* x (fabs x)))) (pow x 3))) (* (sqrt x) (sqrt -1))) (pow x 3))) |
1 |
(+ 1 (* 5/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 5/2 (* 15/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 5/2 (* (pow x 2) (+ 15/8 x))))) |
(* 2 (pow x 6)) |
(* (pow x 6) (+ 2 (* 3 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 2 (+ (* 3 (/ 1 (pow x 2))) (/ 3 (pow x 4))))) |
(* (pow x 6) (+ 2 (+ (* 3 (/ 1 (pow x 2))) (+ (/ 1 (pow x 6)) (/ 3 (pow x 4)))))) |
(* 3 (pow x 4)) |
(* (pow x 4) (+ 3 (* 3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 3 (+ (* 3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 3 (+ (* 3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
| Outputs |
|---|
(* (fabs x) (- (fabs x) 1)) |
(fma.f64 x x (neg.f64 (fabs.f64 x))) |
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (* -1/2 (fabs x))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 x x (neg.f64 (fabs.f64 x)))) |
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 3) (fabs x))))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (fabs.f64 x) (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x x (neg.f64 (fabs.f64 x)))) |
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 3) (+ (* -1/16 (* (pow x 3) (fabs x))) (* 1/8 (fabs x)))))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (fabs.f64 x) (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 x x)) x #s(literal 1/8 binary64))) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (fma.f64 x x (neg.f64 (fabs.f64 x)))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (fabs x) (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (*.f64 x x)))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ (fabs x) (pow x 2))) (/ (pow (fabs x) 2) (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (*.f64 x x))) (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ (fabs x) (pow x 2))) (+ (* -1/2 (/ (fabs x) (pow x 6))) (/ (pow (fabs x) 2) (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (*.f64 x x))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 6 binary64))) (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64)))))) |
(* -1 (pow x 5)) |
(neg.f64 (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (+ 1 (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1))))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(* -1 (* (pow x 5) (+ 1 (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (* -1 (/ (pow (fabs x) 2) (pow x 5))))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (fabs.f64 x) (/.f64 (*.f64 x x) (pow.f64 x #s(literal 5 binary64))))))) |
(* -1 (* (pow x 5) (+ 1 (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (pow (fabs x) 2)) (pow x 5))))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)) (pow.f64 x #s(literal 5 binary64))))) |
(+ 1 (* (fabs x) (- (fabs x) 1))) |
(fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (* -1/2 (fabs x)))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 x x (neg.f64 (fabs.f64 x))))) |
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 3) (fabs x)))))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (fabs.f64 x) (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 3) (+ (* -1/16 (* (pow x 3) (fabs x))) (* 1/8 (fabs x))))))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (fabs.f64 x) (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 x x)) x #s(literal 1/8 binary64))) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (fabs x) (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (*.f64 x x)))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ (fabs x) (pow x 2))) (+ (/ 1 (pow x 4)) (/ (pow (fabs x) 2) (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (fabs.f64 x) (*.f64 x x))))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ (fabs x) (pow x 2))) (+ (* -1/2 (/ (fabs x) (pow x 6))) (+ (/ 1 (pow x 4)) (/ (pow (fabs x) 2) (pow x 4))))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (*.f64 x x))) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64)))))) |
(* -1 (pow x 5)) |
(neg.f64 (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (+ 1 (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1))))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(* -1 (* (pow x 5) (+ 1 (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (* -1 (/ (+ 1 (pow (fabs x) 2)) (pow x 5))))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (fabs.f64 x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))))))) |
(* -1 (* (pow x 5) (+ 1 (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (* -1 (/ (+ 1 (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (pow (fabs x) 2))) (pow x 5))))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64))))) |
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign.f64 (+.f64 (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign.f64 (+.f64 (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign.f64 (+.f64 (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
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(+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -5 (log (/ -1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (+ (* 2 (log (/ -1 x))) (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1))))))) |
(fma.f64 #s(literal -5 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal -1 binary64))) (log.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))) |
(+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -5 (log (/ -1 x))) (+ (* -2 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (+ (* 2 (log (/ -1 x))) (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1))))))) |
(+.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -5 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal -1 binary64)))))))) |
(+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -5 (log (/ -1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/24 (+ (* -24 (/ (pow (fabs x) 2) x)) (* 12 (/ (pow (fabs x) 2) x)))) (* 1/2 (/ (pow (fabs x) 2) x))) x)) (* (sqrt x) (* (fabs x) (sqrt -1)))) (pow x 3))) (+ (* 2 (log (/ -1 x))) (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))))))) |
(+.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (fma.f64 #s(literal -5 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x)) (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 (*.f64 x x) x) #s(literal -12 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) x)) (*.f64 x (*.f64 x x)))))) (fma.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal -1 binary64))))))) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
x |
x |
x |
x |
x |
x |
x |
x |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(copysign (log (+ x (fabs x))) x) |
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x) |
(copysign (log (+ x (fabs x))) x) |
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x) |
(copysign (log (+ x (fabs x))) x) |
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x) |
(copysign (log (+ x (fabs x))) x) |
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x) |
(copysign (log (+ x (fabs x))) x) |
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x) |
(copysign (log (+ x (fabs x))) x) |
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x) |
(copysign (log (+ x (fabs x))) x) |
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x) |
(copysign (log (+ x (fabs x))) x) |
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x) |
(copysign (log (+ (fabs x) (* -1 x))) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
(copysign (log (+ (fabs x) (* -1 x))) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
(copysign (log (+ (fabs x) (* -1 x))) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
(copysign (log (+ (fabs x) (* -1 x))) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
(log (fabs x)) |
(log.f64 (fabs.f64 x)) |
(+ (log (fabs x)) (/ x (fabs x))) |
(+.f64 (log.f64 (fabs.f64 x)) (/.f64 x (fabs.f64 x))) |
(+ (log (fabs x)) (* x (+ (* -1/2 (/ x (pow (fabs x) 2))) (/ 1 (fabs x))))) |
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (log.f64 (fabs.f64 x))) |
(+ (log (fabs x)) (* x (+ (* x (- (* 1/3 (/ x (pow (fabs x) 3))) (* 1/2 (/ 1 (pow (fabs x) 2))))) (/ 1 (fabs x))))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 x (*.f64 (*.f64 x (fabs.f64 x)) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (log.f64 (fabs.f64 x))) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (/ (fabs x) x))) |
(+.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (fabs.f64 x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (+ (* 1/3 (/ (pow (fabs x) 3) (pow x 3))) (/ (fabs x) x)))) |
(+.f64 (log.f64 x) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (*.f64 x (fabs.f64 x)) x) (*.f64 x (*.f64 x x))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (fabs.f64 x) x)))) |
(* -1 (log (/ -1 x))) |
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* 1/2 (/ (pow (fabs x) 2) x))) x))) |
(-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) x) (fabs.f64 x)) x)) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* -1/3 (/ (pow (fabs x) 3) x))) x))) x))) |
(-.f64 (/.f64 (-.f64 (fabs.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x (fabs.f64 x)) x)) x)) x)) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(fabs x) |
(fabs.f64 x) |
(+ x (fabs x)) |
(+.f64 x (fabs.f64 x)) |
(+ x (fabs x)) |
(+.f64 x (fabs.f64 x)) |
(+ x (fabs x)) |
(+.f64 x (fabs.f64 x)) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(fma.f64 x (/.f64 (fabs.f64 x) x) x) |
(* x (+ 1 (/ (fabs x) x))) |
(fma.f64 x (/.f64 (fabs.f64 x) x) x) |
(* x (+ 1 (/ (fabs x) x))) |
(fma.f64 x (/.f64 (fabs.f64 x) x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(neg.f64 (fma.f64 (neg.f64 x) (/.f64 (fabs.f64 x) x) x)) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(neg.f64 (fma.f64 (neg.f64 x) (/.f64 (fabs.f64 x) x) x)) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(neg.f64 (fma.f64 (neg.f64 x) (/.f64 (fabs.f64 x) x) x)) |
(/ 1 (+ 1 (fabs x))) |
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(+ (* -1/2 (/ (pow x 3) (pow (+ 1 (fabs x)) 2))) (/ 1 (+ 1 (fabs x)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(+ (* (pow x 3) (- (* (pow x 3) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x)))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(+ (* (pow x 3) (- (* (pow x 3) (+ (* -1 (* (pow x 3) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x)))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))) (neg.f64 (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (* -1 (/ (fabs x) (pow x 2)))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (*.f64 x x))) (*.f64 x x)) |
(/ (- (+ 1 (* -1 (/ (+ 1/2 (* -1 (pow (fabs x) 2))) (pow x 4)))) (/ (fabs x) (pow x 2))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (fabs.f64 x) (*.f64 x x))) (*.f64 x x)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x))) (pow x 6)))) (+ (* -1 (/ (pow (fabs x) 2) (pow x 4))) (+ (/ 1/2 (pow x 4)) (/ (fabs x) (pow x 2))))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fabs.f64 x) #s(literal -1/2 binary64)) (*.f64 (fabs.f64 x) (-.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (+.f64 (/.f64 (fabs.f64 x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(* -1 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (/ (+ (* -1 (/ (fabs x) (pow x 2))) (* (sqrt x) (sqrt -1))) (pow x 3))) |
(/.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x) (/.f64 (fabs.f64 x) (neg.f64 (*.f64 x x)))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (* (pow (fabs x) 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1)))) (* -1 (* x (fabs x)))) (pow x 3))) (* (sqrt x) (sqrt -1))) (pow x 3))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (fabs.f64 x)))) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (* (sqrt -1) (+ (* -1 (* (sqrt (pow x 3)) (* (pow (fabs x) 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow x 3)) (sqrt -1)))))))) (* -1/2 (/ (fabs x) x))) (+ (* -1 (* (sqrt (pow x 3)) (* (pow (fabs x) 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow x 3)) (sqrt -1))))) (pow x 3))) (* -1 (* x (fabs x)))) (pow x 3))) (* (sqrt x) (sqrt -1))) (pow x 3))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 (fabs.f64 x) #s(literal -1/2 binary64)) x) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x (fabs.f64 x))) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(log (/ 1 (+ 1 (fabs x)))) |
(neg.f64 (log1p.f64 (fabs.f64 x))) |
(+ (log (/ 1 (+ 1 (fabs x)))) (* -1/2 (/ (pow x 3) (+ 1 (fabs x))))) |
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(+ (* (pow x 3) (- (* (pow x 3) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x)))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(+ (* (pow x 3) (- (* (pow x 3) (+ (* -1 (* (pow x 3) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x)))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))) (neg.f64 (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (* -1 (/ (fabs x) (pow x 2)))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (*.f64 x x))) (*.f64 x x)) |
(/ (- (+ 1 (* -1 (/ (+ 1/2 (* -1 (pow (fabs x) 2))) (pow x 4)))) (/ (fabs x) (pow x 2))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (fabs.f64 x) (*.f64 x x))) (*.f64 x x)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x))) (pow x 6)))) (+ (* -1 (/ (pow (fabs x) 2) (pow x 4))) (+ (/ 1/2 (pow x 4)) (/ (fabs x) (pow x 2))))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fabs.f64 x) #s(literal -1/2 binary64)) (*.f64 (fabs.f64 x) (-.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (+.f64 (/.f64 (fabs.f64 x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(* -1 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (/ (+ (* -1 (/ (fabs x) (pow x 2))) (* (sqrt x) (sqrt -1))) (pow x 3))) |
(/.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x) (/.f64 (fabs.f64 x) (neg.f64 (*.f64 x x)))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (* (pow (fabs x) 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1)))) (* -1 (* x (fabs x)))) (pow x 3))) (* (sqrt x) (sqrt -1))) (pow x 3))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (fabs.f64 x)))) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (* (sqrt -1) (+ (* -1 (* (sqrt (pow x 3)) (* (pow (fabs x) 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow x 3)) (sqrt -1)))))))) (* -1/2 (/ (fabs x) x))) (+ (* -1 (* (sqrt (pow x 3)) (* (pow (fabs x) 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow x 3)) (sqrt -1))))) (pow x 3))) (* -1 (* x (fabs x)))) (pow x 3))) (* (sqrt x) (sqrt -1))) (pow x 3))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 (fabs.f64 x) #s(literal -1/2 binary64)) x) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x (fabs.f64 x))) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x (*.f64 x x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 5/2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 5/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 5/2 (* 15/8 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 15/8 binary64) #s(literal 5/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 5/2 (* (pow x 2) (+ 15/8 x))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (+.f64 x #s(literal 15/8 binary64)) #s(literal 5/2 binary64)) #s(literal 1 binary64)) |
(* 2 (pow x 6)) |
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 2 (* 3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 2 (+ (* 3 (/ 1 (pow x 2))) (/ 3 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* (pow x 6) (+ 2 (+ (* 3 (/ 1 (pow x 2))) (+ (/ 1 (pow x 6)) (/ 3 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(* 3 (pow x 4)) |
(*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 3 (* 3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 3 (+ (* 3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))))) |
(* (pow x 4) (+ 3 (+ (* 3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))))) |
Compiled 73 610 to 6 091 computations (91.7% saved)
29 alts after pruning (26 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 557 | 22 | 1 579 |
| Fresh | 1 | 4 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 560 | 29 | 1 589 |
| Status | Accuracy | Program |
|---|---|---|
| 22.9% | (copysign.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 3 binary64))) (fma.f64 (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (/.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) (pow.f64 (log1p.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) #s(literal 2 binary64)))) x) | |
| 8.5% | (copysign.f64 (-.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 2 binary64)) (log.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 (pow.f64 (log1p.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) #s(literal 2 binary64)) (log.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))) x) | |
| 53.4% | (copysign.f64 (-.f64 (-.f64 (log.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) | |
| 61.3% | (copysign.f64 (-.f64 (+.f64 (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) | |
| 9.3% | (copysign.f64 (-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x) | |
| ▶ | 59.7% | (copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))) x) |
| 58.1% | (copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) | |
| 5.7% | (copysign.f64 (-.f64 (log.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (log.f64 (fma.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))) x) | |
| ▶ | 55.3% | (copysign.f64 (-.f64 (log.f64 (*.f64 (fma.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64))))) x) |
| 16.4% | (copysign.f64 (-.f64 (log.f64 (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) (log.f64 (/.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x) | |
| 50.0% | (copysign.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (neg.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))))) x) | |
| 61.8% | (copysign.f64 (+.f64 (log1p.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) | |
| ✓ | 71.7% | (copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
| 55.8% | (copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))) x) | |
| ▶ | 61.9% | (copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
| 9.9% | (copysign.f64 (+.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))))))) (log.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) x) | |
| 17.4% | (copysign.f64 (neg.f64 (+.f64 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))) x) | |
| ✓ | 27.4% | (copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x) |
| ▶ | 19.5% | (copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
| 17.3% | (copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x) | |
| ✓ | 64.9% | (copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
| ▶ | 57.3% | (copysign.f64 (log1p.f64 x) x) |
| 26.3% | (copysign.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x x))) x) | |
| 26.2% | (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) | |
| 27.4% | (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) | |
| 17.4% | (copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) | |
| 26.2% | (copysign.f64 (log.f64 (+.f64 x x)) x) | |
| 11.8% | (copysign.f64 (log.f64 (+.f64 x #s(literal 1 binary64))) x) | |
| 19.5% | (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
Compiled 2 375 to 714 computations (69.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (copysign.f64 (-.f64 (log.f64 (*.f64 (fma.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64))))) x) |
| ✓ | cost-diff | 128 | (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 192 | (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
| ✓ | cost-diff | 192 | (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
| ✓ | cost-diff | 0 | (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))) |
| ✓ | cost-diff | 0 | (copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))) x) |
| ✓ | cost-diff | 192 | (fma.f64 x x (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
| ✓ | cost-diff | 256 | (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) |
| ✓ | cost-diff | 768 | (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (log1p.f64 x) |
| ✓ | cost-diff | 0 | (copysign.f64 (log1p.f64 x) x) |
| ✓ | cost-diff | 0 | (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
| ✓ | cost-diff | 0 | (copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
| ✓ | cost-diff | 64 | (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
| ✓ | cost-diff | 64 | (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
| 16 204× | lower-fma.f32 |
| 16 188× | lower-fma.f64 |
| 4 230× | lower-*.f32 |
| 4 216× | lower-*.f64 |
| 2 952× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 930 |
| 0 | 93 | 787 |
| 1 | 156 | 783 |
| 2 | 344 | 783 |
| 3 | 1146 | 783 |
| 4 | 6515 | 783 |
| 0 | 8083 | 762 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
(+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
(log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
x |
(*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(fabs.f64 x) |
(-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) |
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(copysign.f64 (log1p.f64 x) x) |
(log1p.f64 x) |
x |
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) |
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(fabs.f64 x) |
x |
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))) x) |
(-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))) |
(log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
x |
(*.f64 x x) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(fma.f64 x x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(log1p.f64 (fma.f64 x x (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))) |
(fma.f64 x x (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) |
(*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) |
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(copysign.f64 (-.f64 (log.f64 (*.f64 (fma.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64))))) x) |
(-.f64 (log.f64 (*.f64 (fma.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64))))) |
(log.f64 (*.f64 (fma.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (fma.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) |
(fma.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) #s(literal 1 binary64)) |
(fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) |
x |
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x x) |
(*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) |
(/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) |
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(log1p.f64 (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64))) |
(-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) |
| Outputs |
|---|
(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
(copysign.f64 (+.f64 (log1p.f64 (*.f64 (fabs.f64 x) (+.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (+.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) #s(literal 1 binary64))))) x) |
(+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
(+.f64 (log1p.f64 (*.f64 (fabs.f64 x) (+.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (+.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) #s(literal 1 binary64))))) |
(log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(log1p.f64 (*.f64 (fabs.f64 x) (+.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)))) |
(fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (fabs.f64 x) (+.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x))) |
x |
(*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(fabs.f64 x) |
(-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) |
(log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (+.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) #s(literal 1 binary64)))) |
(/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (+.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) #s(literal 1 binary64))) |
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 (fabs.f64 x) (+.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) #s(literal 1 binary64)) |
(copysign.f64 (log1p.f64 x) x) |
(log1p.f64 x) |
x |
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) |
(log1p.f64 (fabs.f64 x)) |
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(neg.f64 (log1p.f64 (fabs.f64 x))) |
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(fabs.f64 x) |
x |
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))) x) |
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x) |
(-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))) |
(-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
x |
(*.f64 x x) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(fma.f64 x x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(log1p.f64 (fma.f64 x x (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))) |
(log1p.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 x x (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) |
(*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) |
(*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(copysign.f64 (-.f64 (log.f64 (*.f64 (fma.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64))))) x) |
(copysign.f64 (-.f64 (log.f64 (/.f64 (*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64))) (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))) (log1p.f64 (*.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))))) x) |
(-.f64 (log.f64 (*.f64 (fma.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (/.f64 (*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64))) (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))) (log1p.f64 (*.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))))) |
(log.f64 (*.f64 (fma.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
(log.f64 (/.f64 (*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64))) (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64))) (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64)) |
(fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) |
(*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
x |
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x x) |
(*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) |
(*.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(log1p.f64 (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64)))) |
(log1p.f64 (*.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) |
(fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 27.3% | (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) |
| ✓ | accuracy | 27.2% | (log.f64 (*.f64 (fma.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
| ✓ | accuracy | 27.1% | (copysign.f64 (-.f64 (log.f64 (*.f64 (fma.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64))))) x) |
| ✓ | accuracy | 26.8% | (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
| ✓ | accuracy | 28.3% | (fma.f64 x x (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) |
| ✓ | accuracy | 27.4% | (*.f64 x x) |
| ✓ | accuracy | 26.8% | (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
| ✓ | accuracy | 26.6% | (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) |
| ✓ | accuracy | 27.5% | (copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
| ✓ | accuracy | 27.5% | (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
| ✓ | accuracy | 27.3% | (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
| ✓ | accuracy | 26.6% | (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) |
| ✓ | accuracy | 100.0% | (copysign.f64 (log1p.f64 x) x) |
| ✓ | accuracy | 100.0% | (log1p.f64 x) |
| ✓ | accuracy | 27.2% | (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
| ✓ | accuracy | 26.9% | (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) |
| ✓ | accuracy | 26.5% | (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
| ✓ | accuracy | 26.4% | (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) |
| 190.0ms | 137× | 1 | valid |
| 141.0ms | 50× | 2 | valid |
| 27.0ms | 62× | 0 | invalid |
| 3.0ms | 7× | 0 | valid |
Compiled 2 029 to 93 computations (95.4% saved)
ival-log: 118.0ms (39.5% of total)adjust: 43.0ms (14.4% of total)ival-hypot: 31.0ms (10.4% of total)ival-mult: 27.0ms (9% of total)ival-add: 26.0ms (8.7% of total)ival-copysign: 15.0ms (5% of total)ival-log1p: 15.0ms (5% of total)ival-sub: 11.0ms (3.7% of total)ival-div: 9.0ms (3% of total)ival-neg: 2.0ms (0.7% of total)ival-fabs: 1.0ms (0.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))> |
#<alt (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))> |
#<alt (copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x)> |
#<alt (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))> |
#<alt (copysign.f64 (log1p.f64 x) x)> |
#<alt (log1p.f64 x)> |
#<alt (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))> |
#<alt (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))> |
#<alt (copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x)> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))> |
#<alt (fma.f64 x x (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))> |
#<alt (copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))) x)> |
#<alt (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))))> |
#<alt (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))> |
#<alt (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))> |
#<alt (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))> |
#<alt (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64))> |
#<alt (copysign.f64 (-.f64 (log.f64 (*.f64 (fma.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64))))) x)> |
#<alt (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))> |
#<alt (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))> |
#<alt (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))> |
#<alt (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)> |
#<alt (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))> |
#<alt (*.f64 x x)> |
#<alt (log.f64 (*.f64 (fma.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))> |
#<alt (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))> |
| Outputs |
|---|
#<alt (* (fabs x) (- (fabs x) 1))> |
#<alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (* -1/2 (fabs x)))))> |
#<alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 3) (fabs x)))))))> |
#<alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 3) (+ (* -1/16 (* (pow x 3) (fabs x))) (* 1/8 (fabs x))))))))> |
#<alt (pow x 4)> |
#<alt (* (pow x 4) (+ 1 (* -1 (/ (fabs x) (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1 (+ (* -1 (/ (fabs x) (pow x 2))) (/ (pow (fabs x) 2) (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1 (+ (* -1 (/ (fabs x) (pow x 2))) (+ (* -1/2 (/ (fabs x) (pow x 6))) (/ (pow (fabs x) 2) (pow x 4))))))> |
#<alt (* -1 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (+ 1 (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))))))> |
#<alt (* -1 (* (pow x 5) (+ 1 (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (* -1 (/ (pow (fabs x) 2) (pow x 5)))))))> |
#<alt (* -1 (* (pow x 5) (+ 1 (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (pow (fabs x) 2)) (pow x 5)))))))> |
#<alt (+ 1 (* (fabs x) (- (fabs x) 1)))> |
#<alt (+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (* -1/2 (fabs x))))))> |
#<alt (+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 3) (fabs x))))))))> |
#<alt (+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 3) (+ (* -1/16 (* (pow x 3) (fabs x))) (* 1/8 (fabs x)))))))))> |
#<alt (pow x 4)> |
#<alt (* (pow x 4) (+ 1 (* -1 (/ (fabs x) (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1 (+ (* -1 (/ (fabs x) (pow x 2))) (+ (/ 1 (pow x 4)) (/ (pow (fabs x) 2) (pow x 4))))))> |
#<alt (* (pow x 4) (+ 1 (+ (* -1 (/ (fabs x) (pow x 2))) (+ (* -1/2 (/ (fabs x) (pow x 6))) (+ (/ 1 (pow x 4)) (/ (pow (fabs x) 2) (pow x 4)))))))> |
#<alt (* -1 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (+ 1 (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))))))> |
#<alt (* -1 (* (pow x 5) (+ 1 (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (* -1 (/ (+ 1 (pow (fabs x) 2)) (pow x 5)))))))> |
#<alt (* -1 (* (pow x 5) (+ 1 (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (* -1 (/ (+ 1 (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (pow (fabs x) 2))) (pow x 5)))))))> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (- (sqrt (+ 1 (pow x 2))) (* -1 x)) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (- (sqrt (+ 1 (pow x 2))) (* -1 x)) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (- (sqrt (+ 1 (pow x 2))) (* -1 x)) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (- (sqrt (+ 1 (pow x 2))) (* -1 x)) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (log (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))> |
#<alt (+ x (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (log (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))))> |
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (+ (log (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (* x (+ 1 (* -1/2 x)))))> |
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (+ (log (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (* x (+ 1 (* x (- (* x (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/6 (+ 2 (* 6 (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/2 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ 1 (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))) 1/2))))))> |
#<alt (+ (* -4 (log (/ 1 x))) (* 2 (log (/ 1 x))))> |
#<alt (+ (* -4 (log (/ 1 x))) (+ (* 2 (log (/ 1 x))) (/ 1 x)))> |
#<alt (+ (* -4 (log (/ 1 x))) (+ (* -1 (/ (fabs x) (pow x 2))) (+ (* 1/2 (/ (- (* 2 (fabs x)) 1) (pow x 2))) (+ (* 2 (log (/ 1 x))) (/ 1 x)))))> |
#<alt (+ (* -4 (log (/ 1 x))) (+ (* -1 (/ (fabs x) (pow x 2))) (+ (* 1/6 (/ (+ 2 (+ (* -6 (fabs x)) (* 6 (fabs x)))) (pow x 3))) (+ (* 1/2 (/ (- (* 2 (fabs x)) 1) (pow x 2))) (+ (* 2 (log (/ 1 x))) (/ 1 x))))))> |
#<alt (+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -5 (log (/ -1 x))) (* 2 (log (/ -1 x)))))> |
#<alt (+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -5 (log (/ -1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (+ 1 (/ (fabs x) x))))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (* 2 (log (/ -1 x)))))))> |
#<alt (+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -5 (log (/ -1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (+ 1 (/ (fabs x) x))))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (+ (* 1/24 (/ (+ (* -24 (* (fabs x) (+ 1 (/ (fabs x) x)))) (* 12 (* x (pow (+ 1 (/ (fabs x) x)) 2)))) (pow x 4))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow x 5))) (* 2 (log (/ -1 x)))))))))> |
#<alt (+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -5 (log (/ -1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (+ 1 (/ (fabs x) x))))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (+ (* -1 (/ (+ 1 (+ (* -1 (+ 1 (pow (fabs x) 2))) (pow (fabs x) 2))) (pow x 5))) (+ (* 1/24 (/ (+ (* -24 (* (fabs x) (+ 1 (/ (fabs x) x)))) (* 12 (* x (pow (+ 1 (/ (fabs x) x)) 2)))) (pow x 4))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow x 5))) (* 2 (log (/ -1 x))))))))))> |
#<alt (copysign (log (+ 1 x)) x)> |
#<alt (copysign (log (+ 1 x)) x)> |
#<alt (copysign (log (+ 1 x)) x)> |
#<alt (copysign (log (+ 1 x)) x)> |
#<alt (copysign (log (+ 1 x)) x)> |
#<alt (copysign (log (+ 1 x)) x)> |
#<alt (copysign (log (+ 1 x)) x)> |
#<alt (copysign (log (+ 1 x)) x)> |
#<alt (copysign (log (- 1 (* -1 x))) x)> |
#<alt (copysign (log (- 1 (* -1 x))) x)> |
#<alt (copysign (log (- 1 (* -1 x))) x)> |
#<alt (copysign (log (- 1 (* -1 x))) x)> |
#<alt x> |
#<alt (* x (+ 1 (* -1/2 x)))> |
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))> |
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))> |
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))> |
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))> |
#<alt (log (/ 1 (+ 1 (fabs x))))> |
#<alt (log (/ 1 (+ 1 (fabs x))))> |
#<alt (log (/ 1 (+ 1 (fabs x))))> |
#<alt (log (/ 1 (+ 1 (fabs x))))> |
#<alt (log (/ 1 (+ 1 (fabs x))))> |
#<alt (log (/ 1 (+ 1 (fabs x))))> |
#<alt (log (/ 1 (+ 1 (fabs x))))> |
#<alt (log (/ 1 (+ 1 (fabs x))))> |
#<alt (log (/ 1 (+ 1 (fabs x))))> |
#<alt (log (/ 1 (+ 1 (fabs x))))> |
#<alt (log (/ 1 (+ 1 (fabs x))))> |
#<alt (log (/ 1 (+ 1 (fabs x))))> |
#<alt (* -1 (log (/ 1 (+ 1 (fabs x)))))> |
#<alt (* -1 (log (/ 1 (+ 1 (fabs x)))))> |
#<alt (* -1 (log (/ 1 (+ 1 (fabs x)))))> |
#<alt (* -1 (log (/ 1 (+ 1 (fabs x)))))> |
#<alt (* -1 (log (/ 1 (+ 1 (fabs x)))))> |
#<alt (* -1 (log (/ 1 (+ 1 (fabs x)))))> |
#<alt (* -1 (log (/ 1 (+ 1 (fabs x)))))> |
#<alt (* -1 (log (/ 1 (+ 1 (fabs x)))))> |
#<alt (* -1 (log (/ 1 (+ 1 (fabs x)))))> |
#<alt (* -1 (log (/ 1 (+ 1 (fabs x)))))> |
#<alt (* -1 (log (/ 1 (+ 1 (fabs x)))))> |
#<alt (* -1 (log (/ 1 (+ 1 (fabs x)))))> |
#<alt (copysign (neg (log (/ 1 (+ 1 (fabs x))))) x)> |
#<alt (copysign (neg (log (/ 1 (+ 1 (fabs x))))) x)> |
#<alt (copysign (neg (log (/ 1 (+ 1 (fabs x))))) x)> |
#<alt (copysign (neg (log (/ 1 (+ 1 (fabs x))))) x)> |
#<alt (copysign (neg (log (/ 1 (+ 1 (fabs x))))) x)> |
#<alt (copysign (neg (log (/ 1 (+ 1 (fabs x))))) x)> |
#<alt (copysign (neg (log (/ 1 (+ 1 (fabs x))))) x)> |
#<alt (copysign (neg (log (/ 1 (+ 1 (fabs x))))) x)> |
#<alt (copysign (neg (log (/ 1 (+ 1 (fabs x))))) x)> |
#<alt (copysign (neg (log (/ 1 (+ 1 (fabs x))))) x)> |
#<alt (copysign (neg (log (/ 1 (+ 1 (fabs x))))) x)> |
#<alt (copysign (neg (log (/ 1 (+ 1 (fabs x))))) x)> |
#<alt (/ 1 (+ 1 (fabs x)))> |
#<alt (/ 1 (+ 1 (fabs x)))> |
#<alt (/ 1 (+ 1 (fabs x)))> |
#<alt (/ 1 (+ 1 (fabs x)))> |
#<alt (/ 1 (+ 1 (fabs x)))> |
#<alt (/ 1 (+ 1 (fabs x)))> |
#<alt (/ 1 (+ 1 (fabs x)))> |
#<alt (/ 1 (+ 1 (fabs x)))> |
#<alt (/ 1 (+ 1 (fabs x)))> |
#<alt (/ 1 (+ 1 (fabs x)))> |
#<alt (/ 1 (+ 1 (fabs x)))> |
#<alt (/ 1 (+ 1 (fabs x)))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 2 x) 1))> |
#<alt (* x (- (* x (+ 2 (* -1/2 x))) 1))> |
#<alt (* x (- (* x (+ 2 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1))> |
#<alt (* -1 (sqrt (pow x 3)))> |
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) (sqrt (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (/ 1 x))) (sqrt (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (* 2 (/ 1 x))) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))> |
#<alt (* -1 (* (pow x 3) (+ 2 (* (sqrt (/ 1 x)) (sqrt -1)))))> |
#<alt (* -1 (* (pow x 3) (+ 2 (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))> |
#<alt (* -1 (* (pow x 3) (+ 2 (+ (* -1/8 (* (sqrt (/ 1 (pow x 13))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))> |
#<alt (* -1 (* (pow x 3) (+ 2 (+ (* -1/8 (* (sqrt (/ 1 (pow x 13))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 19))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))> |
#<alt (copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)> |
#<alt (copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)> |
#<alt (copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)> |
#<alt (copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)> |
#<alt (copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2))))))) x)> |
#<alt (copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2))))))) x)> |
#<alt (copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2))))))) x)> |
#<alt (copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2))))))) x)> |
#<alt (copysign (- (log (- (sqrt (pow (+ 1 (pow x 2)) 3)) (* -1 (pow x 3)))) (log (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2)))))) x)> |
#<alt (copysign (- (log (- (sqrt (pow (+ 1 (pow x 2)) 3)) (* -1 (pow x 3)))) (log (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2)))))) x)> |
#<alt (copysign (- (log (- (sqrt (pow (+ 1 (pow x 2)) 3)) (* -1 (pow x 3)))) (log (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2)))))) x)> |
#<alt (copysign (- (log (- (sqrt (pow (+ 1 (pow x 2)) 3)) (* -1 (pow x 3)))) (log (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2)))))) x)> |
#<alt x> |
#<alt (* x (+ 1 x))> |
#<alt (* x (+ 1 (* x (+ 1 (* -7/6 x)))))> |
#<alt (* x (+ 1 (* x (+ 1 (* x (- (* -1/2 x) 7/6))))))> |
#<alt (- (+ (log 2) (* -6 (log (/ 1 x)))) (* -2 (log (/ 1 x))))> |
#<alt (- (+ (log 2) (+ (* -6 (log (/ 1 x))) (/ 1 (pow x 2)))) (* -2 (log (/ 1 x))))> |
#<alt (- (+ (log 2) (+ (* -6 (log (/ 1 x))) (+ (/ 3/8 (pow x 4)) (/ 1 (pow x 2))))) (* -2 (log (/ 1 x))))> |
#<alt (- (+ (log 2) (+ (* -6 (log (/ 1 x))) (+ (/ 3/8 (pow x 4)) (/ 1 (pow x 2))))) (+ (* -2 (log (/ 1 x))) (* 13/24 (/ 1 (pow x 6)))))> |
#<alt (- (* -4 (log (/ -1 x))) (* -2 (log (/ -1 x))))> |
#<alt (- (+ (* -4 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2)))) (* -2 (log (/ -1 x))))> |
#<alt (- (+ (* -4 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2)))) (+ (* -2 (log (/ -1 x))) (/ 1/12 (pow x 6))))> |
#<alt (- (+ (* -4 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/64 (/ 1 (pow x 8))))) (+ (* -2 (log (/ -1 x))) (/ 1/12 (pow x 6))))> |
#<alt (* 5/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 5/2 (* -5/4 (pow x 2))))> |
#<alt (* (pow x 2) (+ 5/2 (* (pow x 2) (- x 5/4))))> |
#<alt (* (pow x 2) (+ 5/2 (* (pow x 2) (- (* x (+ 1 (* 5/6 x))) 5/4))))> |
#<alt (+ (log 2) (* -6 (log (/ 1 x))))> |
#<alt (+ (log 2) (+ (* -6 (log (/ 1 x))) (* 3/2 (/ 1 (pow x 2)))))> |
#<alt (+ (log 2) (+ (* -6 (log (/ 1 x))) (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))))> |
#<alt (- (+ (log 2) (+ (* -6 (log (/ 1 x))) (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2)))))) (* 5/8 (/ 1 (pow x 6))))> |
#<alt (+ (log 3) (* -4 (log (/ -1 x))))> |
#<alt (+ (log 3) (+ (* -4 (log (/ -1 x))) (/ 1 (pow x 2))))> |
#<alt (- (+ (log 3) (+ (* -4 (log (/ -1 x))) (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))> |
#<alt (- (+ (log 3) (+ (* -4 (log (/ -1 x))) (+ (/ 1 (pow x 2)) (* 1/36 (/ 1 (pow x 8)))))) (/ 1/6 (pow x 4)))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 2 x) 1))> |
#<alt (* x (- (* x (+ 2 (* -1/2 x))) 1))> |
#<alt (* x (- (* x (+ 2 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1))> |
#<alt (* -1 (sqrt (pow x 3)))> |
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) (sqrt (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (/ 1 x))) (sqrt (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (* 2 (/ 1 x))) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))> |
#<alt (* -1 (* (pow x 3) (+ 2 (* (sqrt (/ 1 x)) (sqrt -1)))))> |
#<alt (* -1 (* (pow x 3) (+ 2 (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))> |
#<alt (* -1 (* (pow x 3) (+ 2 (+ (* -1/8 (* (sqrt (/ 1 (pow x 13))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))> |
#<alt (* -1 (* (pow x 3) (+ 2 (+ (* -1/8 (* (sqrt (/ 1 (pow x 13))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 19))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 2 x) 1)))> |
#<alt (+ 1 (* x (- (* x (+ 2 (* -1/2 x))) 1)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6)))))> |
#<alt (* -1 (* (pow x 3) (+ 2 (* (sqrt (/ 1 x)) (sqrt -1)))))> |
#<alt (* -1 (* (pow x 3) (- (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) (/ 1 (pow x 3)))))> |
#<alt (* -1 (* (pow x 3) (+ 2 (+ (* -1 (/ (+ 1 (* -1/2 (* (sqrt (/ 1 x)) (sqrt -1)))) (pow x 3))) (* (sqrt (/ 1 x)) (sqrt -1))))))> |
#<alt (* -1 (* (pow x 3) (+ 2 (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (* 1/2 (* (sqrt x) (sqrt -1)))) x))) (pow x 3))) (* (sqrt (/ 1 x)) (sqrt -1))))))> |
#<alt -1> |
#<alt (- (* -1 x) 1)> |
#<alt (- (* x (- (* 2 x) 1)) 1)> |
#<alt (- (* x (- (* x (+ 2 (* -1/2 x))) 1)) 1)> |
#<alt (* -1 (sqrt (pow x 3)))> |
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) (sqrt (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ (* -1 (/ (+ 1 (* 1/2 (sqrt x))) (pow x 2))) (* 2 (/ 1 x))) (sqrt (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (* 2 (/ 1 x))) (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 (pow x 2))))))> |
#<alt (* (sqrt (pow x 3)) (sqrt -1))> |
#<alt (* (pow x 2) (- (* (sqrt (/ 1 x)) (sqrt -1)) (* 2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ 2 (* -1 (/ (- (* 1/2 (* (sqrt x) (sqrt -1))) 1) x))) x)) (* (sqrt (/ 1 x)) (sqrt -1))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ 2 (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ 1 x)) (sqrt -1))) (* 1/2 (* (sqrt x) (sqrt -1)))) 1) x))) x)) (* (sqrt (/ 1 x)) (sqrt -1))))> |
#<alt (copysign (- (log (/ (* (+ 1 (pow (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)) 3)) (+ x (sqrt (+ 1 (pow x 2))))) (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2))))) (log (+ 1 (* (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)) (- (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)) 1))))) x)> |
#<alt (copysign (- (log (/ (* (+ 1 (pow (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)) 3)) (+ x (sqrt (+ 1 (pow x 2))))) (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2))))) (log (+ 1 (* (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)) (- (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)) 1))))) x)> |
#<alt (copysign (- (log (/ (* (+ 1 (pow (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)) 3)) (+ x (sqrt (+ 1 (pow x 2))))) (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2))))) (log (+ 1 (* (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)) (- (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)) 1))))) x)> |
#<alt (copysign (- (log (/ (* (+ 1 (pow (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)) 3)) (+ x (sqrt (+ 1 (pow x 2))))) (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2))))) (log (+ 1 (* (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)) (- (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)) 1))))) x)> |
#<alt (copysign (- (log (/ (* (+ 1 (pow (- (* 2 (pow x 2)) (* x (sqrt (+ 1 (pow x 2))))) 3)) (+ x (sqrt (+ 1 (pow x 2))))) (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2))))))) (log (+ 1 (* (- (* 2 (pow x 2)) (* x (sqrt (+ 1 (pow x 2))))) (- (* 2 (pow x 2)) (+ 1 (* x (sqrt (+ 1 (pow x 2)))))))))) x)> |
#<alt (copysign (- (log (/ (* (+ 1 (pow (- (* 2 (pow x 2)) (* x (sqrt (+ 1 (pow x 2))))) 3)) (+ x (sqrt (+ 1 (pow x 2))))) (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2))))))) (log (+ 1 (* (- (* 2 (pow x 2)) (* x (sqrt (+ 1 (pow x 2))))) (- (* 2 (pow x 2)) (+ 1 (* x (sqrt (+ 1 (pow x 2)))))))))) x)> |
#<alt (copysign (- (log (/ (* (+ 1 (pow (- (* 2 (pow x 2)) (* x (sqrt (+ 1 (pow x 2))))) 3)) (+ x (sqrt (+ 1 (pow x 2))))) (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2))))))) (log (+ 1 (* (- (* 2 (pow x 2)) (* x (sqrt (+ 1 (pow x 2))))) (- (* 2 (pow x 2)) (+ 1 (* x (sqrt (+ 1 (pow x 2)))))))))) x)> |
#<alt (copysign (- (log (/ (* (+ 1 (pow (- (* 2 (pow x 2)) (* x (sqrt (+ 1 (pow x 2))))) 3)) (+ x (sqrt (+ 1 (pow x 2))))) (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2))))))) (log (+ 1 (* (- (* 2 (pow x 2)) (* x (sqrt (+ 1 (pow x 2))))) (- (* 2 (pow x 2)) (+ 1 (* x (sqrt (+ 1 (pow x 2)))))))))) x)> |
#<alt (copysign (- (log (/ (* (+ 1 (pow (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))) 3)) (- (sqrt (+ 1 (pow x 2))) (* -1 x))) (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2)))))) (log (+ 1 (* (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))) (- (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))) 1))))) x)> |
#<alt (copysign (- (log (/ (* (+ 1 (pow (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))) 3)) (- (sqrt (+ 1 (pow x 2))) (* -1 x))) (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2)))))) (log (+ 1 (* (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))) (- (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))) 1))))) x)> |
#<alt (copysign (- (log (/ (* (+ 1 (pow (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))) 3)) (- (sqrt (+ 1 (pow x 2))) (* -1 x))) (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2)))))) (log (+ 1 (* (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))) (- (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))) 1))))) x)> |
#<alt (copysign (- (log (/ (* (+ 1 (pow (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))) 3)) (- (sqrt (+ 1 (pow x 2))) (* -1 x))) (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2)))))) (log (+ 1 (* (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))) (- (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))) 1))))) x)> |
#<alt (log (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))> |
#<alt (+ x (log (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))> |
#<alt (+ (log (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (* x (+ 1 (* 1/2 (* x (- (* 2 (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/2 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ 1 (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))))) 1))))))> |
#<alt (+ (log (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (* x (+ 1 (* x (+ (* 1/6 (* x (+ 2 (+ (* -6 (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* -1/2 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ 1 (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (* -6 (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/2 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ 1 (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))))))))) (* 1/2 (- (* 2 (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/2 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ 1 (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))))) 1)))))))> |
#<alt (+ (log 2) (log (/ 1 x)))> |
#<alt (+ (log 2) (+ (log (/ 1 x)) (/ (fabs x) x)))> |
#<alt (+ (log 2) (+ (log (/ 1 x)) (+ (* 1/2 (/ (- (+ 1/2 (* -1 (pow (fabs x) 2))) (+ (* -2 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2))))) (pow x 2))) (/ (fabs x) x))))> |
#<alt (+ (log 2) (+ (log (/ 1 x)) (+ (* 1/6 (/ (+ (* -3 (* (fabs x) (- 1/2 (+ (* -2 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2))))))) (+ (* -3 (+ (* -1 (fabs x)) (+ (* -1 (* (fabs x) (- 1/2 (+ (* -2 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2))))))) (* 2 (* (fabs x) (+ 1 (pow (fabs x) 2))))))) (* 2 (pow (fabs x) 3)))) (pow x 3))) (+ (* 1/2 (/ (- (+ 1/2 (* -1 (pow (fabs x) 2))) (+ (* -2 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2))))) (pow x 2))) (/ (fabs x) x)))))> |
#<alt (+ (log 1/2) (* 3 (log (/ -1 x))))> |
#<alt (+ (log 1/2) (+ (* -1 (/ (fabs x) x)) (* 3 (log (/ -1 x)))))> |
#<alt (+ (log 1/2) (+ (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ (* -4 (+ 1/8 (+ (* -1/2 (pow (fabs x) 2)) (* 1/2 (+ 1 (pow (fabs x) 2)))))) (* -1 (pow (fabs x) 2))) x))) x)) (* 3 (log (/ -1 x)))))> |
#<alt (+ (log 1/2) (+ (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -12 (+ (* -1/4 (fabs x)) (+ (* 1/2 (* (fabs x) (+ 1 (pow (fabs x) 2)))) (* (fabs x) (+ 1/8 (+ (* -1/2 (pow (fabs x) 2)) (* 1/2 (+ 1 (pow (fabs x) 2))))))))) (+ (* 2 (pow (fabs x) 3)) (* 12 (* (fabs x) (+ 1/8 (+ (* -1/2 (pow (fabs x) 2)) (* 1/2 (+ 1 (pow (fabs x) 2))))))))) x)) (* 1/2 (+ (* -4 (+ 1/8 (+ (* -1/2 (pow (fabs x) 2)) (* 1/2 (+ 1 (pow (fabs x) 2)))))) (* -1 (pow (fabs x) 2))))) x))) x)) (* 3 (log (/ -1 x)))))> |
#<alt (* (fabs x) (- (fabs x) 1))> |
#<alt (+ (* -1/2 (* (pow x 3) (fabs x))) (* (fabs x) (- (fabs x) 1)))> |
#<alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 3) (fabs x))))))> |
#<alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ (* -1/2 (fabs x)) (* (pow x 3) (+ (* -1/16 (* (pow x 3) (fabs x))) (* 1/8 (fabs x)))))))> |
#<alt (* -1 (* (pow x 2) (fabs x)))> |
#<alt (* (pow x 2) (+ (* -1 (fabs x)) (/ (pow (fabs x) 2) (pow x 2))))> |
#<alt (* (pow x 2) (+ (* -1 (fabs x)) (+ (* -1/2 (/ (fabs x) (pow x 4))) (/ (pow (fabs x) 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1 (fabs x)) (+ (* -1/2 (/ (fabs x) (pow x 4))) (+ (* 1/8 (/ (fabs x) (pow x 8))) (/ (pow (fabs x) 2) (pow x 2))))))> |
#<alt (* (sqrt (pow x 5)) (* (fabs x) (sqrt -1)))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (* (sqrt (/ 1 x)) (* (fabs x) (sqrt -1)))) (* -1 (/ (pow (fabs x) 2) (pow x 3))))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (* (sqrt (/ 1 x)) (* (fabs x) (sqrt -1)))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (pow (fabs x) 2)) (pow x 3))))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (* (sqrt (/ 1 x)) (* (fabs x) (sqrt -1)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (* (fabs x) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (pow x 9))) (* (fabs x) (sqrt -1))))) (pow x 3))) (pow (fabs x) 2)) (pow x 3))))))> |
#<alt (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))> |
#<alt (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ x (+ 1 (* (fabs x) (- (fabs x) 1)))))> |
#<alt (+ (* x (+ (* x (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/2 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ 1 (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))> |
#<alt (+ (* x (+ (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ 1 (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))) (+ (* -1/2 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ 1 (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))> |
#<alt (/ 2 x)> |
#<alt (/ (+ 2 (* 2 (/ (fabs x) x))) x)> |
#<alt (/ (- (+ 2 (/ 1/2 (pow x 2))) (+ (* -2 (/ (fabs x) x)) (+ (* -2 (/ (pow (fabs x) 2) (pow x 2))) (* 2 (/ (+ 1 (pow (fabs x) 2)) (pow x 2)))))) x)> |
#<alt (/ (- (+ 2 (+ (* -1 (/ (+ (* -1 (fabs x)) (+ (* -1 (* (fabs x) (- 1/2 (+ (* -2 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2))))))) (* 2 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) (pow x 3))) (/ 1/2 (pow x 2)))) (+ (* -2 (/ (fabs x) x)) (+ (* -2 (/ (pow (fabs x) 2) (pow x 2))) (* 2 (/ (+ 1 (pow (fabs x) 2)) (pow x 2)))))) x)> |
#<alt (/ -1/2 (pow x 3))> |
#<alt (* -1 (/ (+ 1/2 (* -1/2 (/ (fabs x) x))) (pow x 3)))> |
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- (+ (* -1/2 (/ (pow (fabs x) 2) x)) (+ (* 1/2 (/ (+ 1 (pow (fabs x) 2)) x)) (* 1/8 (/ 1 x)))) (* -1/2 (fabs x))) x))) (pow x 3)))> |
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (fabs x) x)) (+ (* 1/2 (/ (* (fabs x) (+ 1 (pow (fabs x) 2))) x)) (/ (* (fabs x) (+ 1/8 (+ (* -1/2 (pow (fabs x) 2)) (* 1/2 (+ 1 (pow (fabs x) 2)))))) x))) (+ 1/8 (+ (* -1/2 (pow (fabs x) 2)) (* 1/2 (+ 1 (pow (fabs x) 2)))))) x)) (* -1/2 (fabs x))) x))) (pow x 3)))> |
#<alt (* -1 x)> |
#<alt (* x (- x 1))> |
#<alt (* x (- (* x (+ 1 (* -1/2 x))) 1))> |
#<alt (* x (- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1))> |
#<alt (* -1 (sqrt (pow x 5)))> |
#<alt (* (pow x 3) (+ (* -1 (sqrt (/ 1 x))) (/ 1 x)))> |
#<alt (* (pow x 3) (+ (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (/ 1 x))))> |
#<alt (* (pow x 3) (+ (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* 1/8 (sqrt (/ 1 (pow x 13)))) (/ 1 x)))))> |
#<alt (* 2 (pow x 2))> |
#<alt (* (pow x 2) (+ 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))> |
#<alt (* (pow x 2) (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))> |
#<alt -1> |
#<alt (- x 1)> |
#<alt (- (* x (+ 1 (* -1/2 x))) 1)> |
#<alt (- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)> |
#<alt (* -1 (sqrt (pow x 3)))> |
#<alt (* (pow x 2) (- (/ 1 x) (sqrt (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (/ 1 x)) (sqrt (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ (* 1/8 (sqrt (/ 1 (pow x 13)))) (/ 1 x)) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 7)))))))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* -3/2 x)))> |
#<alt (* x (+ 2 (* x (- (* -4/3 x) 3/2))))> |
#<alt (* x (+ 2 (* x (- (* x (- (* 3/4 x) 4/3)) 3/2))))> |
#<alt (+ (log 2) (* -21 (log (/ 1 x))))> |
#<alt (- (+ (log 2) (* -21 (log (/ 1 x)))) (* 23/4 (/ 1 (pow x 2))))> |
#<alt (+ (log 2) (+ (* -21 (log (/ 1 x))) (* -1 (/ (+ 23/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log 2) (+ (* -21 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 31/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 23/4 (/ 1 (pow x 2))))> |
#<alt (+ (log (* (sqrt (/ 1 x)) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 10)))) (* -32 (log (/ -1 x))))> |
#<alt (+ (log (* (sqrt (/ 1 x)) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 10)))) (+ (* -32 (log (/ -1 x))) (* (sqrt (/ 1 x)) (sqrt -1))))> |
#<alt (+ (log (* (sqrt (/ 1 x)) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 10)))) (+ (* -32 (log (/ -1 x))) (* -1 (/ (- (* -1 (* (sqrt x) (sqrt -1))) 1/2) x))))> |
#<alt (+ (log (* (sqrt (/ 1 x)) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 10)))) (+ (* -32 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (sqrt x) (sqrt -1))) (* -1 (/ (+ (* -1/6 (/ (- (* -2 (* (sqrt (pow x 3)) (sqrt -1))) (* 6 (/ 1 (+ 2 (* (sqrt (/ 1 x)) (sqrt -1)))))) x)) (* 1/2 x)) x))) x))))> |
#<alt 1> |
#<alt (+ 1 (* 2 x))> |
#<alt (+ 1 (* x (+ 2 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 2 (* x (+ 1/2 (* -3 x))))))> |
#<alt (/ 2 x)> |
#<alt (/ (- 2 (* 1/2 (/ 1 (pow x 2)))) x)> |
#<alt (/ (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))) x)> |
#<alt (/ (- (+ 2 (* 5/16 (/ 1 (pow x 6)))) (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) x)> |
#<alt (/ -1/6 (pow x 3))> |
#<alt (* -1 (/ (- 1/6 (* 1/8 (/ 1 (pow x 2)))) (pow x 3)))> |
#<alt (* -1 (/ (- (+ 1/6 (/ 13/144 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) (pow x 3)))> |
#<alt (* -1 (/ (- (+ 1/6 (/ 13/144 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 77/1152 (/ 1 (pow x 6))))) (pow x 3)))> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | x | @ | inf | (log (/ 1 (+ (fabs x) 1))) |
| 19.0ms | x | @ | -inf | (log (/ 1 (+ (fabs x) 1))) |
| 17.0ms | x | @ | 0 | (log (/ 1 (+ (fabs x) 1))) |
| 9.0ms | x | @ | inf | (- (log (+ (* x (* x x)) (* (+ (* x x) 1) (sqrt (+ (* x x) 1))))) (log (+ 1 (+ (* x x) (* (- x (sqrt (+ (* x x) 1))) x))))) |
| 8.0ms | x | @ | 0 | (neg (log (/ 1 (+ (fabs x) 1)))) |
Compiled 2 169 to 965 computations (55.5% saved)
| 1× | batch-egg-rewrite |
| 4 284× | lower-fma.f32 |
| 4 268× | lower-fma.f64 |
| 3 816× | lower-/.f32 |
| 3 810× | lower-/.f64 |
| 3 158× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 530 |
| 0 | 93 | 469 |
| 1 | 404 | 423 |
| 2 | 3611 | 421 |
| 0 | 9121 | 410 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
(+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
(copysign.f64 (log1p.f64 x) x) |
(log1p.f64 x) |
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) |
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(fma.f64 x x (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) |
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))) x) |
(-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))) |
(log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) |
(fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) |
(copysign.f64 (-.f64 (log.f64 (*.f64 (fma.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64))))) x) |
(log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) |
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 x x) |
(log.f64 (*.f64 (fma.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
(/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) |
| Outputs |
|---|
(+.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(+.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 x x)) |
(+.f64 (*.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) (*.f64 x x)) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 x x (*.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 x x (*.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (*.f64 x x)) |
(fma.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))) |
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (fma.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (fma.f64 (*.f64 x x) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (-.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (neg.f64 (fma.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (neg.f64 (-.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x x))) |
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(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))) |
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(*.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 1 binary64))) (fma.f64 x (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (fma.f64 x (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
(*.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(*.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 (*.f64 x (-.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) #s(literal 1 binary64)))) (-.f64 (*.f64 x (-.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
| 1× | egg-herbie |
| 11 316× | lower-fma.f64 |
| 11 316× | lower-fma.f32 |
| 6 488× | lower-+.f64 |
| 6 488× | lower-+.f32 |
| 6 072× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 946 | 7046 |
| 1 | 2844 | 6656 |
| 0 | 8500 | 5965 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (fabs x) (- (fabs x) 1)) |
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (* -1/2 (fabs x))))) |
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 3) (fabs x))))))) |
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 3) (+ (* -1/16 (* (pow x 3) (fabs x))) (* 1/8 (fabs x)))))))) |
(pow x 4) |
(* (pow x 4) (+ 1 (* -1 (/ (fabs x) (pow x 2))))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ (fabs x) (pow x 2))) (/ (pow (fabs x) 2) (pow x 4))))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ (fabs x) (pow x 2))) (+ (* -1/2 (/ (fabs x) (pow x 6))) (/ (pow (fabs x) 2) (pow x 4)))))) |
(* -1 (pow x 5)) |
(* -1 (* (pow x 5) (+ 1 (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1))))))) |
(* -1 (* (pow x 5) (+ 1 (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (* -1 (/ (pow (fabs x) 2) (pow x 5))))))) |
(* -1 (* (pow x 5) (+ 1 (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (pow (fabs x) 2)) (pow x 5))))))) |
(+ 1 (* (fabs x) (- (fabs x) 1))) |
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (* -1/2 (fabs x)))))) |
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 3) (fabs x)))))))) |
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 3) (+ (* -1/16 (* (pow x 3) (fabs x))) (* 1/8 (fabs x))))))))) |
(pow x 4) |
(* (pow x 4) (+ 1 (* -1 (/ (fabs x) (pow x 2))))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ (fabs x) (pow x 2))) (+ (/ 1 (pow x 4)) (/ (pow (fabs x) 2) (pow x 4)))))) |
(* (pow x 4) (+ 1 (+ (* -1 (/ (fabs x) (pow x 2))) (+ (* -1/2 (/ (fabs x) (pow x 6))) (+ (/ 1 (pow x 4)) (/ (pow (fabs x) 2) (pow x 4))))))) |
(* -1 (pow x 5)) |
(* -1 (* (pow x 5) (+ 1 (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1))))))) |
(* -1 (* (pow x 5) (+ 1 (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (* -1 (/ (+ 1 (pow (fabs x) 2)) (pow x 5))))))) |
(* -1 (* (pow x 5) (+ 1 (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (* -1 (/ (+ 1 (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (pow (fabs x) 2))) (pow x 5))))))) |
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (- (sqrt (+ 1 (pow x 2))) (* -1 x)) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (- (sqrt (+ 1 (pow x 2))) (* -1 x)) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (- (sqrt (+ 1 (pow x 2))) (* -1 x)) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (- (sqrt (+ 1 (pow x 2))) (* -1 x)) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (log (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))) |
(+ x (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (log (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))) |
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (+ (log (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (* x (+ 1 (* -1/2 x))))) |
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (+ (log (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (* x (+ 1 (* x (- (* x (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/6 (+ 2 (* 6 (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/2 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ 1 (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))) 1/2)))))) |
(+ (* -4 (log (/ 1 x))) (* 2 (log (/ 1 x)))) |
(+ (* -4 (log (/ 1 x))) (+ (* 2 (log (/ 1 x))) (/ 1 x))) |
(+ (* -4 (log (/ 1 x))) (+ (* -1 (/ (fabs x) (pow x 2))) (+ (* 1/2 (/ (- (* 2 (fabs x)) 1) (pow x 2))) (+ (* 2 (log (/ 1 x))) (/ 1 x))))) |
(+ (* -4 (log (/ 1 x))) (+ (* -1 (/ (fabs x) (pow x 2))) (+ (* 1/6 (/ (+ 2 (+ (* -6 (fabs x)) (* 6 (fabs x)))) (pow x 3))) (+ (* 1/2 (/ (- (* 2 (fabs x)) 1) (pow x 2))) (+ (* 2 (log (/ 1 x))) (/ 1 x)))))) |
(+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -5 (log (/ -1 x))) (* 2 (log (/ -1 x))))) |
(+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -5 (log (/ -1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (+ 1 (/ (fabs x) x))))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (* 2 (log (/ -1 x))))))) |
(+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -5 (log (/ -1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (+ 1 (/ (fabs x) x))))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (+ (* 1/24 (/ (+ (* -24 (* (fabs x) (+ 1 (/ (fabs x) x)))) (* 12 (* x (pow (+ 1 (/ (fabs x) x)) 2)))) (pow x 4))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow x 5))) (* 2 (log (/ -1 x))))))))) |
(+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -5 (log (/ -1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (+ 1 (/ (fabs x) x))))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (+ (* -1 (/ (+ 1 (+ (* -1 (+ 1 (pow (fabs x) 2))) (pow (fabs x) 2))) (pow x 5))) (+ (* 1/24 (/ (+ (* -24 (* (fabs x) (+ 1 (/ (fabs x) x)))) (* 12 (* x (pow (+ 1 (/ (fabs x) x)) 2)))) (pow x 4))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow x 5))) (* 2 (log (/ -1 x)))))))))) |
(copysign (log (+ 1 x)) x) |
(copysign (log (+ 1 x)) x) |
(copysign (log (+ 1 x)) x) |
(copysign (log (+ 1 x)) x) |
(copysign (log (+ 1 x)) x) |
(copysign (log (+ 1 x)) x) |
(copysign (log (+ 1 x)) x) |
(copysign (log (+ 1 x)) x) |
(copysign (log (- 1 (* -1 x))) x) |
(copysign (log (- 1 (* -1 x))) x) |
(copysign (log (- 1 (* -1 x))) x) |
(copysign (log (- 1 (* -1 x))) x) |
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ 1 x)) |
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(log (/ 1 (+ 1 (fabs x)))) |
(log (/ 1 (+ 1 (fabs x)))) |
(log (/ 1 (+ 1 (fabs x)))) |
(log (/ 1 (+ 1 (fabs x)))) |
(log (/ 1 (+ 1 (fabs x)))) |
(log (/ 1 (+ 1 (fabs x)))) |
(log (/ 1 (+ 1 (fabs x)))) |
(log (/ 1 (+ 1 (fabs x)))) |
(log (/ 1 (+ 1 (fabs x)))) |
(log (/ 1 (+ 1 (fabs x)))) |
(log (/ 1 (+ 1 (fabs x)))) |
(log (/ 1 (+ 1 (fabs x)))) |
(* -1 (log (/ 1 (+ 1 (fabs x))))) |
(* -1 (log (/ 1 (+ 1 (fabs x))))) |
(* -1 (log (/ 1 (+ 1 (fabs x))))) |
(* -1 (log (/ 1 (+ 1 (fabs x))))) |
(* -1 (log (/ 1 (+ 1 (fabs x))))) |
(* -1 (log (/ 1 (+ 1 (fabs x))))) |
(* -1 (log (/ 1 (+ 1 (fabs x))))) |
(* -1 (log (/ 1 (+ 1 (fabs x))))) |
(* -1 (log (/ 1 (+ 1 (fabs x))))) |
(* -1 (log (/ 1 (+ 1 (fabs x))))) |
(* -1 (log (/ 1 (+ 1 (fabs x))))) |
(* -1 (log (/ 1 (+ 1 (fabs x))))) |
(copysign (neg (log (/ 1 (+ 1 (fabs x))))) x) |
(copysign (neg (log (/ 1 (+ 1 (fabs x))))) x) |
(copysign (neg (log (/ 1 (+ 1 (fabs x))))) x) |
(copysign (neg (log (/ 1 (+ 1 (fabs x))))) x) |
(copysign (neg (log (/ 1 (+ 1 (fabs x))))) x) |
(copysign (neg (log (/ 1 (+ 1 (fabs x))))) x) |
(copysign (neg (log (/ 1 (+ 1 (fabs x))))) x) |
(copysign (neg (log (/ 1 (+ 1 (fabs x))))) x) |
(copysign (neg (log (/ 1 (+ 1 (fabs x))))) x) |
(copysign (neg (log (/ 1 (+ 1 (fabs x))))) x) |
(copysign (neg (log (/ 1 (+ 1 (fabs x))))) x) |
(copysign (neg (log (/ 1 (+ 1 (fabs x))))) x) |
(/ 1 (+ 1 (fabs x))) |
(/ 1 (+ 1 (fabs x))) |
(/ 1 (+ 1 (fabs x))) |
(/ 1 (+ 1 (fabs x))) |
(/ 1 (+ 1 (fabs x))) |
(/ 1 (+ 1 (fabs x))) |
(/ 1 (+ 1 (fabs x))) |
(/ 1 (+ 1 (fabs x))) |
(/ 1 (+ 1 (fabs x))) |
(/ 1 (+ 1 (fabs x))) |
(/ 1 (+ 1 (fabs x))) |
(/ 1 (+ 1 (fabs x))) |
(* -1 x) |
(* x (- (* 2 x) 1)) |
(* x (- (* x (+ 2 (* -1/2 x))) 1)) |
(* x (- (* x (+ 2 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)) |
(* -1 (sqrt (pow x 3))) |
(* (pow x 2) (- (* 2 (/ 1 x)) (sqrt (/ 1 x)))) |
(* (pow x 2) (- (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (/ 1 x))) (sqrt (/ 1 x)))) |
(* (pow x 2) (- (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (* 2 (/ 1 x))) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* -1 (* (pow x 3) (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* -1 (* (pow x 3) (+ 2 (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* (pow x 3) (+ 2 (+ (* -1/8 (* (sqrt (/ 1 (pow x 13))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(* -1 (* (pow x 3) (+ 2 (+ (* -1/8 (* (sqrt (/ 1 (pow x 13))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 19))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
(copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x) |
(copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x) |
(copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x) |
(copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x) |
(copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2))))))) x) |
(copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2))))))) x) |
(copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2))))))) x) |
(copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2))))))) x) |
(copysign (- (log (- (sqrt (pow (+ 1 (pow x 2)) 3)) (* -1 (pow x 3)))) (log (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2)))))) x) |
(copysign (- (log (- (sqrt (pow (+ 1 (pow x 2)) 3)) (* -1 (pow x 3)))) (log (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2)))))) x) |
(copysign (- (log (- (sqrt (pow (+ 1 (pow x 2)) 3)) (* -1 (pow x 3)))) (log (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2)))))) x) |
(copysign (- (log (- (sqrt (pow (+ 1 (pow x 2)) 3)) (* -1 (pow x 3)))) (log (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2)))))) x) |
x |
(* x (+ 1 x)) |
(* x (+ 1 (* x (+ 1 (* -7/6 x))))) |
(* x (+ 1 (* x (+ 1 (* x (- (* -1/2 x) 7/6)))))) |
(- (+ (log 2) (* -6 (log (/ 1 x)))) (* -2 (log (/ 1 x)))) |
(- (+ (log 2) (+ (* -6 (log (/ 1 x))) (/ 1 (pow x 2)))) (* -2 (log (/ 1 x)))) |
(- (+ (log 2) (+ (* -6 (log (/ 1 x))) (+ (/ 3/8 (pow x 4)) (/ 1 (pow x 2))))) (* -2 (log (/ 1 x)))) |
(- (+ (log 2) (+ (* -6 (log (/ 1 x))) (+ (/ 3/8 (pow x 4)) (/ 1 (pow x 2))))) (+ (* -2 (log (/ 1 x))) (* 13/24 (/ 1 (pow x 6))))) |
(- (* -4 (log (/ -1 x))) (* -2 (log (/ -1 x)))) |
(- (+ (* -4 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2)))) (* -2 (log (/ -1 x)))) |
(- (+ (* -4 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2)))) (+ (* -2 (log (/ -1 x))) (/ 1/12 (pow x 6)))) |
(- (+ (* -4 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/64 (/ 1 (pow x 8))))) (+ (* -2 (log (/ -1 x))) (/ 1/12 (pow x 6)))) |
(* 5/2 (pow x 2)) |
(* (pow x 2) (+ 5/2 (* -5/4 (pow x 2)))) |
(* (pow x 2) (+ 5/2 (* (pow x 2) (- x 5/4)))) |
(* (pow x 2) (+ 5/2 (* (pow x 2) (- (* x (+ 1 (* 5/6 x))) 5/4)))) |
(+ (log 2) (* -6 (log (/ 1 x)))) |
(+ (log 2) (+ (* -6 (log (/ 1 x))) (* 3/2 (/ 1 (pow x 2))))) |
(+ (log 2) (+ (* -6 (log (/ 1 x))) (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2)))))) |
(- (+ (log 2) (+ (* -6 (log (/ 1 x))) (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2)))))) (* 5/8 (/ 1 (pow x 6)))) |
(+ (log 3) (* -4 (log (/ -1 x)))) |
(+ (log 3) (+ (* -4 (log (/ -1 x))) (/ 1 (pow x 2)))) |
(- (+ (log 3) (+ (* -4 (log (/ -1 x))) (/ 1 (pow x 2)))) (/ 1/6 (pow x 4))) |
(- (+ (log 3) (+ (* -4 (log (/ -1 x))) (+ (/ 1 (pow x 2)) (* 1/36 (/ 1 (pow x 8)))))) (/ 1/6 (pow x 4))) |
(* -1 x) |
(* x (- (* 2 x) 1)) |
(* x (- (* x (+ 2 (* -1/2 x))) 1)) |
(* x (- (* x (+ 2 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)) |
(* -1 (sqrt (pow x 3))) |
(* (pow x 2) (- (* 2 (/ 1 x)) (sqrt (/ 1 x)))) |
(* (pow x 2) (- (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (/ 1 x))) (sqrt (/ 1 x)))) |
(* (pow x 2) (- (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (* 2 (/ 1 x))) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* -1 (* (pow x 3) (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* -1 (* (pow x 3) (+ 2 (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* (pow x 3) (+ 2 (+ (* -1/8 (* (sqrt (/ 1 (pow x 13))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(* -1 (* (pow x 3) (+ 2 (+ (* -1/8 (* (sqrt (/ 1 (pow x 13))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 19))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 2 x) 1))) |
(+ 1 (* x (- (* x (+ 2 (* -1/2 x))) 1))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6))))) |
(* -1 (* (pow x 3) (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* -1 (* (pow x 3) (- (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) (/ 1 (pow x 3))))) |
(* -1 (* (pow x 3) (+ 2 (+ (* -1 (/ (+ 1 (* -1/2 (* (sqrt (/ 1 x)) (sqrt -1)))) (pow x 3))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* (pow x 3) (+ 2 (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (* 1/2 (* (sqrt x) (sqrt -1)))) x))) (pow x 3))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* 2 x) 1)) 1) |
(- (* x (- (* x (+ 2 (* -1/2 x))) 1)) 1) |
(* -1 (sqrt (pow x 3))) |
(* (pow x 2) (- (* 2 (/ 1 x)) (sqrt (/ 1 x)))) |
(* (pow x 2) (- (+ (* -1 (/ (+ 1 (* 1/2 (sqrt x))) (pow x 2))) (* 2 (/ 1 x))) (sqrt (/ 1 x)))) |
(* (pow x 2) (- (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (* 2 (/ 1 x))) (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 (pow x 2)))))) |
(* (sqrt (pow x 3)) (sqrt -1)) |
(* (pow x 2) (- (* (sqrt (/ 1 x)) (sqrt -1)) (* 2 (/ 1 x)))) |
(* (pow x 2) (+ (* -1 (/ (+ 2 (* -1 (/ (- (* 1/2 (* (sqrt x) (sqrt -1))) 1) x))) x)) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(* (pow x 2) (+ (* -1 (/ (+ 2 (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ 1 x)) (sqrt -1))) (* 1/2 (* (sqrt x) (sqrt -1)))) 1) x))) x)) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(copysign (- (log (/ (* (+ 1 (pow (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)) 3)) (+ x (sqrt (+ 1 (pow x 2))))) (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2))))) (log (+ 1 (* (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)) (- (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)) 1))))) x) |
(copysign (- (log (/ (* (+ 1 (pow (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)) 3)) (+ x (sqrt (+ 1 (pow x 2))))) (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2))))) (log (+ 1 (* (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)) (- (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)) 1))))) x) |
(copysign (- (log (/ (* (+ 1 (pow (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)) 3)) (+ x (sqrt (+ 1 (pow x 2))))) (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2))))) (log (+ 1 (* (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)) (- (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)) 1))))) x) |
(copysign (- (log (/ (* (+ 1 (pow (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)) 3)) (+ x (sqrt (+ 1 (pow x 2))))) (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2))))) (log (+ 1 (* (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)) (- (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)) 1))))) x) |
(copysign (- (log (/ (* (+ 1 (pow (- (* 2 (pow x 2)) (* x (sqrt (+ 1 (pow x 2))))) 3)) (+ x (sqrt (+ 1 (pow x 2))))) (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2))))))) (log (+ 1 (* (- (* 2 (pow x 2)) (* x (sqrt (+ 1 (pow x 2))))) (- (* 2 (pow x 2)) (+ 1 (* x (sqrt (+ 1 (pow x 2)))))))))) x) |
(copysign (- (log (/ (* (+ 1 (pow (- (* 2 (pow x 2)) (* x (sqrt (+ 1 (pow x 2))))) 3)) (+ x (sqrt (+ 1 (pow x 2))))) (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2))))))) (log (+ 1 (* (- (* 2 (pow x 2)) (* x (sqrt (+ 1 (pow x 2))))) (- (* 2 (pow x 2)) (+ 1 (* x (sqrt (+ 1 (pow x 2)))))))))) x) |
(copysign (- (log (/ (* (+ 1 (pow (- (* 2 (pow x 2)) (* x (sqrt (+ 1 (pow x 2))))) 3)) (+ x (sqrt (+ 1 (pow x 2))))) (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2))))))) (log (+ 1 (* (- (* 2 (pow x 2)) (* x (sqrt (+ 1 (pow x 2))))) (- (* 2 (pow x 2)) (+ 1 (* x (sqrt (+ 1 (pow x 2)))))))))) x) |
(copysign (- (log (/ (* (+ 1 (pow (- (* 2 (pow x 2)) (* x (sqrt (+ 1 (pow x 2))))) 3)) (+ x (sqrt (+ 1 (pow x 2))))) (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2))))))) (log (+ 1 (* (- (* 2 (pow x 2)) (* x (sqrt (+ 1 (pow x 2))))) (- (* 2 (pow x 2)) (+ 1 (* x (sqrt (+ 1 (pow x 2)))))))))) x) |
(copysign (- (log (/ (* (+ 1 (pow (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))) 3)) (- (sqrt (+ 1 (pow x 2))) (* -1 x))) (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2)))))) (log (+ 1 (* (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))) (- (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))) 1))))) x) |
(copysign (- (log (/ (* (+ 1 (pow (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))) 3)) (- (sqrt (+ 1 (pow x 2))) (* -1 x))) (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2)))))) (log (+ 1 (* (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))) (- (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))) 1))))) x) |
(copysign (- (log (/ (* (+ 1 (pow (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))) 3)) (- (sqrt (+ 1 (pow x 2))) (* -1 x))) (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2)))))) (log (+ 1 (* (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))) (- (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))) 1))))) x) |
(copysign (- (log (/ (* (+ 1 (pow (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))) 3)) (- (sqrt (+ 1 (pow x 2))) (* -1 x))) (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2)))))) (log (+ 1 (* (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))) (- (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))) 1))))) x) |
(log (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) |
(+ x (log (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))) |
(+ (log (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (* x (+ 1 (* 1/2 (* x (- (* 2 (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/2 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ 1 (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))))) 1)))))) |
(+ (log (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (* x (+ 1 (* x (+ (* 1/6 (* x (+ 2 (+ (* -6 (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* -1/2 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ 1 (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (* -6 (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/2 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ 1 (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))))))))) (* 1/2 (- (* 2 (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/2 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ 1 (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))))) 1))))))) |
(+ (log 2) (log (/ 1 x))) |
(+ (log 2) (+ (log (/ 1 x)) (/ (fabs x) x))) |
(+ (log 2) (+ (log (/ 1 x)) (+ (* 1/2 (/ (- (+ 1/2 (* -1 (pow (fabs x) 2))) (+ (* -2 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2))))) (pow x 2))) (/ (fabs x) x)))) |
(+ (log 2) (+ (log (/ 1 x)) (+ (* 1/6 (/ (+ (* -3 (* (fabs x) (- 1/2 (+ (* -2 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2))))))) (+ (* -3 (+ (* -1 (fabs x)) (+ (* -1 (* (fabs x) (- 1/2 (+ (* -2 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2))))))) (* 2 (* (fabs x) (+ 1 (pow (fabs x) 2))))))) (* 2 (pow (fabs x) 3)))) (pow x 3))) (+ (* 1/2 (/ (- (+ 1/2 (* -1 (pow (fabs x) 2))) (+ (* -2 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2))))) (pow x 2))) (/ (fabs x) x))))) |
(+ (log 1/2) (* 3 (log (/ -1 x)))) |
(+ (log 1/2) (+ (* -1 (/ (fabs x) x)) (* 3 (log (/ -1 x))))) |
(+ (log 1/2) (+ (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ (* -4 (+ 1/8 (+ (* -1/2 (pow (fabs x) 2)) (* 1/2 (+ 1 (pow (fabs x) 2)))))) (* -1 (pow (fabs x) 2))) x))) x)) (* 3 (log (/ -1 x))))) |
(+ (log 1/2) (+ (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -12 (+ (* -1/4 (fabs x)) (+ (* 1/2 (* (fabs x) (+ 1 (pow (fabs x) 2)))) (* (fabs x) (+ 1/8 (+ (* -1/2 (pow (fabs x) 2)) (* 1/2 (+ 1 (pow (fabs x) 2))))))))) (+ (* 2 (pow (fabs x) 3)) (* 12 (* (fabs x) (+ 1/8 (+ (* -1/2 (pow (fabs x) 2)) (* 1/2 (+ 1 (pow (fabs x) 2))))))))) x)) (* 1/2 (+ (* -4 (+ 1/8 (+ (* -1/2 (pow (fabs x) 2)) (* 1/2 (+ 1 (pow (fabs x) 2)))))) (* -1 (pow (fabs x) 2))))) x))) x)) (* 3 (log (/ -1 x))))) |
(* (fabs x) (- (fabs x) 1)) |
(+ (* -1/2 (* (pow x 3) (fabs x))) (* (fabs x) (- (fabs x) 1))) |
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 3) (fabs x)))))) |
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ (* -1/2 (fabs x)) (* (pow x 3) (+ (* -1/16 (* (pow x 3) (fabs x))) (* 1/8 (fabs x))))))) |
(* -1 (* (pow x 2) (fabs x))) |
(* (pow x 2) (+ (* -1 (fabs x)) (/ (pow (fabs x) 2) (pow x 2)))) |
(* (pow x 2) (+ (* -1 (fabs x)) (+ (* -1/2 (/ (fabs x) (pow x 4))) (/ (pow (fabs x) 2) (pow x 2))))) |
(* (pow x 2) (+ (* -1 (fabs x)) (+ (* -1/2 (/ (fabs x) (pow x 4))) (+ (* 1/8 (/ (fabs x) (pow x 8))) (/ (pow (fabs x) 2) (pow x 2)))))) |
(* (sqrt (pow x 5)) (* (fabs x) (sqrt -1))) |
(* -1 (* (pow x 3) (+ (* -1 (* (sqrt (/ 1 x)) (* (fabs x) (sqrt -1)))) (* -1 (/ (pow (fabs x) 2) (pow x 3)))))) |
(* -1 (* (pow x 3) (+ (* -1 (* (sqrt (/ 1 x)) (* (fabs x) (sqrt -1)))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (* (fabs x) (sqrt -1)))) (pow (fabs x) 2)) (pow x 3)))))) |
(* -1 (* (pow x 3) (+ (* -1 (* (sqrt (/ 1 x)) (* (fabs x) (sqrt -1)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (* (fabs x) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (pow x 9))) (* (fabs x) (sqrt -1))))) (pow x 3))) (pow (fabs x) 2)) (pow x 3)))))) |
(/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) |
(+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ x (+ 1 (* (fabs x) (- (fabs x) 1))))) |
(+ (* x (+ (* x (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/2 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ 1 (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) |
(+ (* x (+ (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ 1 (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))) (+ (* -1/2 (/ (fabs x) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ 1 (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) |
(/ 2 x) |
(/ (+ 2 (* 2 (/ (fabs x) x))) x) |
(/ (- (+ 2 (/ 1/2 (pow x 2))) (+ (* -2 (/ (fabs x) x)) (+ (* -2 (/ (pow (fabs x) 2) (pow x 2))) (* 2 (/ (+ 1 (pow (fabs x) 2)) (pow x 2)))))) x) |
(/ (- (+ 2 (+ (* -1 (/ (+ (* -1 (fabs x)) (+ (* -1 (* (fabs x) (- 1/2 (+ (* -2 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2))))))) (* 2 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) (pow x 3))) (/ 1/2 (pow x 2)))) (+ (* -2 (/ (fabs x) x)) (+ (* -2 (/ (pow (fabs x) 2) (pow x 2))) (* 2 (/ (+ 1 (pow (fabs x) 2)) (pow x 2)))))) x) |
(/ -1/2 (pow x 3)) |
(* -1 (/ (+ 1/2 (* -1/2 (/ (fabs x) x))) (pow x 3))) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (+ (* -1/2 (/ (pow (fabs x) 2) x)) (+ (* 1/2 (/ (+ 1 (pow (fabs x) 2)) x)) (* 1/8 (/ 1 x)))) (* -1/2 (fabs x))) x))) (pow x 3))) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (fabs x) x)) (+ (* 1/2 (/ (* (fabs x) (+ 1 (pow (fabs x) 2))) x)) (/ (* (fabs x) (+ 1/8 (+ (* -1/2 (pow (fabs x) 2)) (* 1/2 (+ 1 (pow (fabs x) 2)))))) x))) (+ 1/8 (+ (* -1/2 (pow (fabs x) 2)) (* 1/2 (+ 1 (pow (fabs x) 2)))))) x)) (* -1/2 (fabs x))) x))) (pow x 3))) |
(* -1 x) |
(* x (- x 1)) |
(* x (- (* x (+ 1 (* -1/2 x))) 1)) |
(* x (- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)) |
(* -1 (sqrt (pow x 5))) |
(* (pow x 3) (+ (* -1 (sqrt (/ 1 x))) (/ 1 x))) |
(* (pow x 3) (+ (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (/ 1 x)))) |
(* (pow x 3) (+ (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* 1/8 (sqrt (/ 1 (pow x 13)))) (/ 1 x))))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* (pow x 2) (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
-1 |
(- x 1) |
(- (* x (+ 1 (* -1/2 x))) 1) |
(- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1) |
(* -1 (sqrt (pow x 3))) |
(* (pow x 2) (- (/ 1 x) (sqrt (/ 1 x)))) |
(* (pow x 2) (- (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (/ 1 x)) (sqrt (/ 1 x)))) |
(* (pow x 2) (- (+ (* 1/8 (sqrt (/ 1 (pow x 13)))) (/ 1 x)) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 7))))))) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2))))))) |
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))))) |
x |
x |
x |
x |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 2 x) |
(* x (+ 2 (* -3/2 x))) |
(* x (+ 2 (* x (- (* -4/3 x) 3/2)))) |
(* x (+ 2 (* x (- (* x (- (* 3/4 x) 4/3)) 3/2)))) |
(+ (log 2) (* -21 (log (/ 1 x)))) |
(- (+ (log 2) (* -21 (log (/ 1 x)))) (* 23/4 (/ 1 (pow x 2)))) |
(+ (log 2) (+ (* -21 (log (/ 1 x))) (* -1 (/ (+ 23/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -21 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 31/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 23/4 (/ 1 (pow x 2)))) |
(+ (log (* (sqrt (/ 1 x)) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 10)))) (* -32 (log (/ -1 x)))) |
(+ (log (* (sqrt (/ 1 x)) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 10)))) (+ (* -32 (log (/ -1 x))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(+ (log (* (sqrt (/ 1 x)) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 10)))) (+ (* -32 (log (/ -1 x))) (* -1 (/ (- (* -1 (* (sqrt x) (sqrt -1))) 1/2) x)))) |
(+ (log (* (sqrt (/ 1 x)) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 10)))) (+ (* -32 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (sqrt x) (sqrt -1))) (* -1 (/ (+ (* -1/6 (/ (- (* -2 (* (sqrt (pow x 3)) (sqrt -1))) (* 6 (/ 1 (+ 2 (* (sqrt (/ 1 x)) (sqrt -1)))))) x)) (* 1/2 x)) x))) x)))) |
1 |
(+ 1 (* 2 x)) |
(+ 1 (* x (+ 2 (* 1/2 x)))) |
(+ 1 (* x (+ 2 (* x (+ 1/2 (* -3 x)))))) |
(/ 2 x) |
(/ (- 2 (* 1/2 (/ 1 (pow x 2)))) x) |
(/ (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))) x) |
(/ (- (+ 2 (* 5/16 (/ 1 (pow x 6)))) (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) x) |
(/ -1/6 (pow x 3)) |
(* -1 (/ (- 1/6 (* 1/8 (/ 1 (pow x 2)))) (pow x 3))) |
(* -1 (/ (- (+ 1/6 (/ 13/144 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) (pow x 3))) |
(* -1 (/ (- (+ 1/6 (/ 13/144 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 77/1152 (/ 1 (pow x 6))))) (pow x 3))) |
| Outputs |
|---|
(* (fabs x) (- (fabs x) 1)) |
(fma.f64 x x (neg.f64 (fabs.f64 x))) |
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (* -1/2 (fabs x))))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (fma.f64 x x (neg.f64 (fabs.f64 x)))) |
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 3) (fabs x))))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (fabs.f64 x) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x x (neg.f64 (fabs.f64 x)))) |
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 3) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 3) (+ (* -1/16 (* (pow x 3) (fabs x))) (* 1/8 (fabs x)))))))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (fabs.f64 x) (fma.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (fma.f64 x x (neg.f64 (fabs.f64 x)))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -1 (/ (fabs x) (pow x 2))))) |
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(neg.f64 (sqrt.f64 (*.f64 x (*.f64 x x)))) |
(* (pow x 2) (- (/ 1 x) (sqrt (/ 1 x)))) |
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* (pow x 2) (- (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (/ 1 x)) (sqrt (/ 1 x)))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* (pow x 2) (- (+ (* 1/8 (sqrt (/ 1 (pow x 13)))) (/ 1 x)) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 7))))))) |
(*.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 13 binary64)))) (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2))))))) |
(*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))))) |
(*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
x |
x |
x |
x |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* -3/2 x))) |
(*.f64 x (fma.f64 x #s(literal -3/2 binary64) #s(literal 2 binary64))) |
(* x (+ 2 (* x (- (* -4/3 x) 3/2)))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal -3/2 binary64)) #s(literal 2 binary64))) |
(* x (+ 2 (* x (- (* x (- (* 3/4 x) 4/3)) 3/2)))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3/4 binary64) #s(literal -4/3 binary64)) #s(literal -3/2 binary64)) #s(literal 2 binary64))) |
(+ (log 2) (* -21 (log (/ 1 x)))) |
(fma.f64 (neg.f64 (log.f64 x)) #s(literal -21 binary64) (log.f64 #s(literal 2 binary64))) |
(- (+ (log 2) (* -21 (log (/ 1 x)))) (* 23/4 (/ 1 (pow x 2)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 (neg.f64 (log.f64 x)) #s(literal -21 binary64) (/.f64 #s(literal -23/4 binary64) (*.f64 x x)))) |
(+ (log 2) (+ (* -21 (log (/ 1 x))) (* -1 (/ (+ 23/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(-.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -21 binary64) (log.f64 #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 23/4 binary64) (/.f64 #s(literal 3/32 binary64) (*.f64 x x))) (*.f64 x x))) |
(- (+ (log 2) (+ (* -21 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 31/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 23/4 (/ 1 (pow x 2)))) |
(+.f64 (-.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -21 binary64) (log.f64 #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 31/96 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -23/4 binary64) (*.f64 x x))) |
(+ (log (* (sqrt (/ 1 x)) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 10)))) (* -32 (log (/ -1 x)))) |
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -32 binary64) (log.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 10 binary64))))) |
(+ (log (* (sqrt (/ 1 x)) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 10)))) (+ (* -32 (log (/ -1 x))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -32 binary64) (log.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 10 binary64)))))) |
(+ (log (* (sqrt (/ 1 x)) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 10)))) (+ (* -32 (log (/ -1 x))) (* -1 (/ (- (* -1 (* (sqrt x) (sqrt -1))) 1/2) x)))) |
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -32 binary64) (log.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 10 binary64))))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64)) x)) |
(+ (log (* (sqrt (/ 1 x)) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 10)))) (+ (* -32 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (sqrt x) (sqrt -1))) (* -1 (/ (+ (* -1/6 (/ (- (* -2 (* (sqrt (pow x 3)) (sqrt -1))) (* 6 (/ 1 (+ 2 (* (sqrt (/ 1 x)) (sqrt -1)))))) x)) (* 1/2 x)) x))) x)))) |
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -32 binary64) (log.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 10 binary64))))) (/.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -2 binary64)) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) x) (*.f64 x #s(literal 1/2 binary64))) x))) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 x)) |
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* x (+ 1/2 (* -3 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (- 2 (* 1/2 (/ 1 (pow x 2)))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x) |
(/ (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) (*.f64 x x))) x) |
(/ (- (+ 2 (* 5/16 (/ 1 (pow x 6)))) (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) x) |
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))))) x) |
(/ -1/6 (pow x 3)) |
(/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- 1/6 (* 1/8 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) (*.f64 x (*.f64 (neg.f64 x) x))) |
(* -1 (/ (- (+ 1/6 (/ 13/144 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (+.f64 (/.f64 #s(literal 13/144 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))) (*.f64 x (*.f64 (neg.f64 x) x))) |
(* -1 (/ (- (+ 1/6 (/ 13/144 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 77/1152 (/ 1 (pow x 6))))) (pow x 3))) |
(/.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 13/144 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) (/.f64 #s(literal 77/1152 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x (*.f64 (neg.f64 x) x))) |
Compiled 175 237 to 10 226 computations (94.2% saved)
29 alts after pruning (22 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 052 | 11 | 2 063 |
| Fresh | 10 | 11 | 21 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 2 063 | 29 | 2 092 |
| Status | Accuracy | Program |
|---|---|---|
| 51.4% | (copysign.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) x) | |
| ▶ | 51.6% | (copysign.f64 (fma.f64 x x x) x) |
| 51.6% | (copysign.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x) x) | |
| 55.3% | (copysign.f64 (-.f64 (-.f64 (log.f64 (*.f64 (fma.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 (/.f64 (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log1p.f64 (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64))))) x) | |
| 50.0% | (copysign.f64 (-.f64 (-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 6 binary64)) #s(literal -1 binary64)) (neg.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (*.f64 (fma.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))))) (log1p.f64 (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64))))) x) | |
| 9.2% | (copysign.f64 (-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 1 binary64)))) (log1p.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log1p.f64 (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64))))) x) | |
| 51.1% | (copysign.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal -3/2 binary64)) #s(literal 2 binary64))) (log1p.f64 (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64))))) x) | |
| 51.7% | (copysign.f64 (-.f64 (*.f64 x (fma.f64 x #s(literal -3/2 binary64) #s(literal 2 binary64))) (log1p.f64 (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64))))) x) | |
| ▶ | 9.3% | (copysign.f64 (-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x) |
| ✓ | 59.7% | (copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))) x) |
| ▶ | 50.0% | (copysign.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (neg.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))))) x) |
| 50.1% | (copysign.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (neg.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) x) | |
| ▶ | 61.8% | (copysign.f64 (+.f64 (log1p.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
| ✓ | 71.7% | (copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
| ✓ | 61.9% | (copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
| 51.9% | (copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (neg.f64 (fabs.f64 x)))) (-.f64 x (log1p.f64 (fma.f64 x x (neg.f64 (fabs.f64 x)))))) x) | |
| 17.4% | (copysign.f64 (neg.f64 (+.f64 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))) x) | |
| ✓ | 27.4% | (copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x) |
| ✓ | 19.5% | (copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
| 17.3% | (copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x) | |
| ✓ | 64.9% | (copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
| ✓ | 57.3% | (copysign.f64 (log1p.f64 x) x) |
| 26.3% | (copysign.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x x))) x) | |
| 26.2% | (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) | |
| 27.4% | (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) | |
| ▶ | 19.5% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
| 17.4% | (copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) | |
| 26.2% | (copysign.f64 (log.f64 (+.f64 x x)) x) | |
| 11.8% | (copysign.f64 (log.f64 (+.f64 x #s(literal 1 binary64))) x) |
Compiled 1 591 to 584 computations (63.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (neg.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) |
| ✓ | cost-diff | 192 | (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
| ✓ | cost-diff | 192 | (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (/.f64 (fabs.f64 x) x) |
| ✓ | cost-diff | 0 | (neg.f64 (/.f64 (fabs.f64 x) x)) |
| ✓ | cost-diff | 0 | (-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
| ✓ | cost-diff | 0 | (copysign.f64 (-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x) |
| ✓ | cost-diff | 0 | (fabs.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
| ✓ | cost-diff | 192 | (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x x x) |
| ✓ | cost-diff | 0 | (copysign.f64 (fma.f64 x x x) x) |
| ✓ | cost-diff | 0 | (+.f64 (log1p.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
| ✓ | cost-diff | 0 | (copysign.f64 (+.f64 (log1p.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
| ✓ | cost-diff | 192 | (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
| ✓ | cost-diff | 192 | (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) |
| 17 738× | lower-fma.f32 |
| 17 730× | lower-fma.f64 |
| 3 584× | lower-*.f32 |
| 3 578× | lower-*.f64 |
| 3 452× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 640 |
| 0 | 70 | 619 |
| 1 | 120 | 619 |
| 2 | 273 | 619 |
| 3 | 912 | 615 |
| 4 | 3548 | 615 |
| 0 | 8091 | 586 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
(+.f64 (log1p.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
(log1p.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) |
(fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) |
x |
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x x) |
(log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) |
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(copysign.f64 (fma.f64 x x x) x) |
(fma.f64 x x x) |
x |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(fabs.f64 x) |
x |
#s(literal 1 binary64) |
(copysign.f64 (-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x) |
(-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(neg.f64 (/.f64 (fabs.f64 x) x)) |
(/.f64 (fabs.f64 x) x) |
(fabs.f64 x) |
x |
(log.f64 (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(copysign.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (neg.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))))) x) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (neg.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))))) |
(log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) |
(fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) |
x |
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
(*.f64 x x) |
(/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) |
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(log1p.f64 (neg.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) |
(neg.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) |
| Outputs |
|---|
(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
(copysign.f64 (+.f64 (log1p.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))) x) |
(+.f64 (log1p.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
(+.f64 (log1p.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))) |
(log1p.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) |
(log1p.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) |
(*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
x |
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x x) |
(log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) |
(log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))) |
(/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(copysign.f64 (fma.f64 x x x) x) |
(fma.f64 x x x) |
x |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(log1p.f64 (fabs.f64 x)) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(fabs.f64 x) |
x |
#s(literal 1 binary64) |
(copysign.f64 (-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x) |
(copysign.f64 (-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x) |
(-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(neg.f64 (/.f64 (fabs.f64 x) x)) |
(/.f64 (fabs.f64 x) (neg.f64 x)) |
(/.f64 (fabs.f64 x) x) |
(fabs.f64 x) |
x |
(log.f64 (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(copysign.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (neg.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))))) x) |
(copysign.f64 (-.f64 (log.f64 (*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (fma.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (+.f64 x x))) #s(literal 1 binary64)) (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))) (log1p.f64 (*.f64 x (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (+.f64 x x))))) x) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (neg.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))))) |
(-.f64 (log.f64 (*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (fma.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (+.f64 x x))) #s(literal 1 binary64)) (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))) (log1p.f64 (*.f64 x (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (+.f64 x x))))) |
(log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
(log.f64 (*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (fma.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (+.f64 x x))) #s(literal 1 binary64)) (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (fma.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (+.f64 x x))) #s(literal 1 binary64)) (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) |
(fma.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (+.f64 x x))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) |
(*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (*.f64 x x) (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) |
(*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
x |
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
(*.f64 x x) |
(/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(log1p.f64 (neg.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) |
(log1p.f64 (*.f64 x (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (+.f64 x x)))) |
(neg.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) |
(*.f64 x (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (+.f64 x x))) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 77.2% | (*.f64 x x) |
| ✓ | accuracy | 77.1% | (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) |
| ✓ | accuracy | 77.1% | (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) |
| ✓ | accuracy | 77.1% | (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
| ✓ | accuracy | 77.1% | (neg.f64 (/.f64 (fabs.f64 x) x)) |
| ✓ | accuracy | 76.9% | (-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
| ✓ | accuracy | 76.9% | (log.f64 (/.f64 #s(literal -1 binary64) x)) |
| ✓ | accuracy | 76.8% | (/.f64 #s(literal -1 binary64) x) |
| ✓ | accuracy | 79.0% | (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
| ✓ | accuracy | 77.5% | (fabs.f64 x) |
| ✓ | accuracy | 77.1% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
| ✓ | accuracy | 77.1% | (+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x x x) |
| ✓ | accuracy | 100.0% | (copysign.f64 (fma.f64 x x x) x) |
| ✓ | accuracy | 77.2% | (*.f64 x x) |
| ✓ | accuracy | 77.1% | (+.f64 (log1p.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
| ✓ | accuracy | 77.1% | (copysign.f64 (+.f64 (log1p.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
| ✓ | accuracy | 77.1% | (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) |
| 89.0ms | 196× | 0 | invalid |
| 44.0ms | 55× | 1 | valid |
| 2.0ms | 5× | 0 | valid |
Compiled 1 389 to 73 computations (94.7% saved)
ival-hypot: 24.0ms (24.6% of total)ival-log: 21.0ms (21.6% of total)ival-copysign: 10.0ms (10.3% of total)ival-add: 9.0ms (9.2% of total)ival-mult: 7.0ms (7.2% of total)ival-log1p: 7.0ms (7.2% of total)ival-sub: 5.0ms (5.1% of total)adjust: 5.0ms (5.1% of total)ival-div: 5.0ms (5.1% of total)ival-neg: 2.0ms (2.1% of total)ival-fabs: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))> |
#<alt (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))> |
#<alt (copysign.f64 (+.f64 (log1p.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x)> |
#<alt (+.f64 (log1p.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))> |
#<alt (copysign.f64 (fma.f64 x x x) x)> |
#<alt (fma.f64 x x x)> |
#<alt (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)))> |
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)> |
#<alt (+.f64 (fabs.f64 x) #s(literal 1 binary64))> |
#<alt (fabs.f64 x)> |
#<alt (copysign.f64 (-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x)> |
#<alt (-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))> |
#<alt (neg.f64 (/.f64 (fabs.f64 x) x))> |
#<alt (/.f64 (fabs.f64 x) x)> |
#<alt (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))))> |
#<alt (neg.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))> |
#<alt (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))> |
#<alt (*.f64 x x)> |
#<alt (/.f64 #s(literal -1 binary64) x)> |
#<alt (log.f64 (/.f64 #s(literal -1 binary64) x))> |
#<alt (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))> |
| Outputs |
|---|
#<alt (* -1 x)> |
#<alt (* x (- (* 2 x) 1))> |
#<alt (* x (- (* x (+ 2 (* -1/2 x))) 1))> |
#<alt (* x (- (* x (+ 2 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1))> |
#<alt (* -1 (sqrt (pow x 3)))> |
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) (sqrt (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (/ 1 x))) (sqrt (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (* 2 (/ 1 x))) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))> |
#<alt (* -1 (* (pow x 3) (+ 2 (* (sqrt (/ 1 x)) (sqrt -1)))))> |
#<alt (* -1 (* (pow x 3) (+ 2 (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))> |
#<alt (* -1 (* (pow x 3) (+ 2 (+ (* -1/8 (* (sqrt (/ 1 (pow x 13))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))> |
#<alt (* -1 (* (pow x 3) (+ 2 (+ (* -1/8 (* (sqrt (/ 1 (pow x 13))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 19))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 2 x) 1)))> |
#<alt (+ 1 (* x (- (* x (+ 2 (* -1/2 x))) 1)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6)))))> |
#<alt (* -1 (* (pow x 3) (+ 2 (* (sqrt (/ 1 x)) (sqrt -1)))))> |
#<alt (* -1 (* (pow x 3) (- (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) (/ 1 (pow x 3)))))> |
#<alt (* -1 (* (pow x 3) (+ 2 (+ (* -1 (/ (+ 1 (* -1/2 (* (sqrt (/ 1 x)) (sqrt -1)))) (pow x 3))) (* (sqrt (/ 1 x)) (sqrt -1))))))> |
#<alt (* -1 (* (pow x 3) (+ 2 (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (* 1/2 (* (sqrt x) (sqrt -1)))) x))) (pow x 3))) (* (sqrt (/ 1 x)) (sqrt -1))))))> |
#<alt (copysign (+ (log (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2)))))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2)))))))) x)> |
#<alt (copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2)))))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2)))))))) x)> |
#<alt (copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2)))))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2)))))))) x)> |
#<alt (copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2)))))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2)))))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))))) (log (/ (- (sqrt (+ 1 (pow x 2))) (* -1 x)) (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))))) (log (/ (- (sqrt (+ 1 (pow x 2))) (* -1 x)) (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))))) (log (/ (- (sqrt (+ 1 (pow x 2))) (* -1 x)) (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))))) (log (/ (- (sqrt (+ 1 (pow x 2))) (* -1 x)) (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))))))) x)> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))> |
#<alt (+ (log 2) (+ (log (/ 1 x)) (* -2 (log (/ 1 x)))))> |
#<alt (+ (log 2) (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (- (+ (log 2) (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))) (/ 3/32 (pow x 4)))> |
#<alt (- (+ (log 2) (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (/ 3/32 (pow x 4)))> |
#<alt (+ (log 1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 3 (log (/ -1 x))))))> |
#<alt (- (+ (log 1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 3 (log (/ -1 x)))))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (- (+ (log 1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (/ 3/32 (pow x 4)))))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (- (+ (log 1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (/ 3/32 (pow x 4)))))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))> |
#<alt (copysign (+ x (pow x 2)) x)> |
#<alt (copysign (+ x (pow x 2)) x)> |
#<alt (copysign (+ x (pow x 2)) x)> |
#<alt (copysign (+ x (pow x 2)) x)> |
#<alt (copysign (+ x (pow x 2)) x)> |
#<alt (copysign (+ x (pow x 2)) x)> |
#<alt (copysign (+ x (pow x 2)) x)> |
#<alt (copysign (+ x (pow x 2)) x)> |
#<alt (copysign (- (pow x 2) (* -1 x)) x)> |
#<alt (copysign (- (pow x 2) (* -1 x)) x)> |
#<alt (copysign (- (pow x 2) (* -1 x)) x)> |
#<alt (copysign (- (pow x 2) (* -1 x)) x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (pow x 3)> |
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 2))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (copysign (neg (+ (log (/ -1 x)) (/ (fabs x) x))) x)> |
#<alt (copysign (neg (+ (log (/ -1 x)) (/ (fabs x) x))) x)> |
#<alt (copysign (neg (+ (log (/ -1 x)) (/ (fabs x) x))) x)> |
#<alt (copysign (neg (+ (log (/ -1 x)) (/ (fabs x) x))) x)> |
#<alt (copysign (neg (+ (log (/ -1 x)) (/ (fabs x) x))) x)> |
#<alt (copysign (neg (+ (log (/ -1 x)) (/ (fabs x) x))) x)> |
#<alt (copysign (neg (+ (log (/ -1 x)) (/ (fabs x) x))) x)> |
#<alt (copysign (neg (+ (log (/ -1 x)) (/ (fabs x) x))) x)> |
#<alt (copysign (neg (+ (log (/ -1 x)) (/ (fabs x) x))) x)> |
#<alt (copysign (neg (+ (log (/ -1 x)) (/ (fabs x) x))) x)> |
#<alt (copysign (neg (+ (log (/ -1 x)) (/ (fabs x) x))) x)> |
#<alt (copysign (neg (+ (log (/ -1 x)) (/ (fabs x) x))) x)> |
#<alt (* -1 (/ (fabs x) x))> |
#<alt (/ (- (* x (log x)) (fabs x)) x)> |
#<alt (/ (- (* x (log x)) (fabs x)) x)> |
#<alt (/ (- (* x (log x)) (fabs x)) x)> |
#<alt (* -1 (+ (log -1) (log (/ 1 x))))> |
#<alt (- (* -1 (/ (fabs x) x)) (+ (log -1) (log (/ 1 x))))> |
#<alt (- (* -1 (/ (fabs x) x)) (+ (log -1) (log (/ 1 x))))> |
#<alt (- (* -1 (/ (fabs x) x)) (+ (log -1) (log (/ 1 x))))> |
#<alt (* -1 (log (/ -1 x)))> |
#<alt (- (* -1 (/ (fabs x) x)) (log (/ -1 x)))> |
#<alt (- (* -1 (/ (fabs x) x)) (log (/ -1 x)))> |
#<alt (- (* -1 (/ (fabs x) x)) (log (/ -1 x)))> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (* -1 (/ (fabs x) x))> |
#<alt (* -1 (/ (fabs x) x))> |
#<alt (* -1 (/ (fabs x) x))> |
#<alt (* -1 (/ (fabs x) x))> |
#<alt (* -1 (/ (fabs x) x))> |
#<alt (* -1 (/ (fabs x) x))> |
#<alt (* -1 (/ (fabs x) x))> |
#<alt (* -1 (/ (fabs x) x))> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ (fabs x) x)> |
#<alt (/ (fabs x) x)> |
#<alt (/ (fabs x) x)> |
#<alt (/ (fabs x) x)> |
#<alt (/ (fabs x) x)> |
#<alt (/ (fabs x) x)> |
#<alt (/ (fabs x) x)> |
#<alt (/ (fabs x) x)> |
#<alt 1> |
#<alt (+ 1 (* -1 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 4 x) 1)))> |
#<alt (+ 1 (* (pow x 2) (- (* x (+ 4 (* -5 x))) 1)))> |
#<alt (* -1 (pow x 4))> |
#<alt (* (pow x 4) (- (/ 1 (pow x 2)) 1))> |
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 2))) 1))> |
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 4)) (+ (/ 1 (pow x 2)) (* 1/4 (/ 1 (pow x 6))))) 1))> |
#<alt (* (pow x 9) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 3))> |
#<alt (* -1 (* (pow x 9) (- (* -1 (/ (+ (* 1/2 (* (sqrt x) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* (sqrt x) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (pow x 4))) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 3))))> |
#<alt (* -1 (* (pow x 9) (- (* -1 (/ (+ (* -1/2 (* x (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))))) (+ (* -1/8 (* (sqrt (pow x 3)) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1/4 x) (* -1/4 (* (sqrt (pow x 3)) (* (sqrt -1) (+ 2 (* (sqrt (/ 1 x)) (sqrt -1)))))))))) (pow x 8))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (+ (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2))) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 3))))))> |
#<alt (* -1 (* (pow x 9) (- (* -1 (/ (+ (* -1/2 (* x (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))))) (+ (* -1/8 (* (sqrt (pow x 3)) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (+ (* (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1/4 x) (* -1/4 (* (sqrt (pow x 3)) (* (sqrt -1) (+ 2 (* (sqrt (/ 1 x)) (sqrt -1)))))))) (/ 1 x)))) (pow x 8))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (+ (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2))) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 3))))))> |
#<alt x> |
#<alt (* x (+ 1 (* -2 x)))> |
#<alt (* x (+ 1 (* x (- (* 1/2 x) 2))))> |
#<alt (* x (+ 1 (* x (- (* x (+ 1/2 (* -1/8 (pow x 2)))) 2))))> |
#<alt (* (pow x 3) (- (sqrt (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 7))))) 2))> |
#<alt (* (pow x 3) (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 13)))) (* 1/2 (sqrt (/ 1 (pow x 7)))))) 2))> |
#<alt (* (pow x 3) (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 13)))) (+ (* 1/16 (sqrt (/ 1 (pow x 19)))) (* 1/2 (sqrt (/ 1 (pow x 7))))))) 2))> |
#<alt (* -1 (* (sqrt (pow x 3)) (sqrt -1)))> |
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (sqrt -1))) 2) x)) (* (sqrt (/ 1 x)) (sqrt -1))))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (sqrt -1))) (* 1/2 (* (sqrt x) (sqrt -1)))) x)) 2) x)) (* (sqrt (/ 1 x)) (sqrt -1))))> |
#<alt 1> |
#<alt (+ 1 (* 2 x))> |
#<alt (+ 1 (* x (+ 2 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 2 (* x (+ 1/2 (* -3 x))))))> |
#<alt (/ 2 x)> |
#<alt (/ (- 2 (* 1/2 (/ 1 (pow x 2)))) x)> |
#<alt (/ (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))) x)> |
#<alt (/ (- (+ 2 (* 5/16 (/ 1 (pow x 6)))) (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) x)> |
#<alt (/ -1/6 (pow x 3))> |
#<alt (* -1 (/ (- 1/6 (* 1/8 (/ 1 (pow x 2)))) (pow x 3)))> |
#<alt (* -1 (/ (- (+ 1/6 (/ 13/144 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) (pow x 3)))> |
#<alt (* -1 (/ (- (+ 1/6 (/ 13/144 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 77/1152 (/ 1 (pow x 6))))) (pow x 3)))> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (* -1 (log x))> |
#<alt (* -1 (log x))> |
#<alt (* -1 (log x))> |
#<alt (* -1 (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 (/ -1 x))> |
#<alt (log (/ -1 x))> |
#<alt (log (/ -1 x))> |
#<alt (log (/ -1 x))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* -5/2 x)))> |
#<alt (* x (+ 2 (* x (- (* 8/3 x) 5/2))))> |
#<alt (* x (+ 2 (* x (- (* x (+ 8/3 (* -19/4 x))) 5/2))))> |
#<alt (+ (log -2) (* -3 (log (/ 1 x))))> |
#<alt (- (+ (log -2) (* -3 (log (/ 1 x)))) (* 5/4 (/ 1 (pow x 2))))> |
#<alt (+ (log -2) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 5/4 (* 35/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log -2) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 35/32 (* 91/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 5/4 (/ 1 (pow x 2))))> |
#<alt (+ (log (* -1 (* (sqrt (/ 1 x)) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (* -8 (log (/ -1 x))))> |
#<alt (+ (log (* -1 (* (sqrt (/ 1 x)) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (+ (* -8 (log (/ -1 x))) (* (sqrt (/ 1 x)) (sqrt -1))))> |
#<alt (+ (log (* -1 (* (sqrt (/ 1 x)) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (+ (* -8 (log (/ -1 x))) (* -1 (/ (- (* -1 (* (sqrt x) (sqrt -1))) 1/2) x))))> |
#<alt (+ (log (* -1 (* (sqrt (/ 1 x)) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (+ (* -8 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (sqrt x) (sqrt -1))) (* -1 (/ (+ (* -1/6 (/ (- (* -2 (* (sqrt (pow x 3)) (sqrt -1))) (* 6 (/ 1 (+ 2 (* (sqrt (/ 1 x)) (sqrt -1)))))) x)) (* 1/2 x)) x))) x))))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 75.0ms | x | @ | 0 | (log (/ -1 x)) |
| 21.0ms | x | @ | -inf | (log (/ -1 x)) |
| 11.0ms | x | @ | inf | (log (/ -1 x)) |
| 8.0ms | x | @ | -inf | (log (+ (fabs x) 1)) |
| 7.0ms | x | @ | 0 | (log (+ (fabs x) 1)) |
Compiled 1 176 to 558 computations (52.6% saved)
| 1× | batch-egg-rewrite |
| 4 418× | lower-/.f32 |
| 4 412× | lower-/.f64 |
| 3 712× | lower-*.f32 |
| 3 706× | lower-*.f64 |
| 3 358× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 279 |
| 0 | 63 | 249 |
| 1 | 251 | 248 |
| 2 | 2154 | 242 |
| 0 | 8511 | 236 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) |
(fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
(+.f64 (log1p.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
(copysign.f64 (fma.f64 x x x) x) |
(fma.f64 x x x) |
(log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(fabs.f64 x) |
(copysign.f64 (-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x) |
(-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(neg.f64 (/.f64 (fabs.f64 x) x)) |
(/.f64 (fabs.f64 x) x) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) |
(neg.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) |
(/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 x x) |
(/.f64 #s(literal -1 binary64) x) |
(log.f64 (/.f64 #s(literal -1 binary64) x)) |
(log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
| Outputs |
|---|
(+.f64 (*.f64 x x) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(+.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(+.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x x)) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 x x)) |
(+.f64 (*.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 x (-.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 (*.f64 x x) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 x x (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 x x (*.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) |
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x x)) |
(fma.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (fabs.f64 x) (fabs.f64 (*.f64 x #s(literal 1 binary64))) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (fabs.f64 x) (fabs.f64 (*.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (fabs.f64 x) (fabs.f64 (*.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64) (*.f64 x x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (*.f64 (*.f64 x (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 x (-.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (-.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (*.f64 (*.f64 x (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 x (-.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x (*.f64 x x)))))) |
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(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (*.f64 (*.f64 x (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 x (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 x (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (neg.f64 (*.f64 (*.f64 x (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 x (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (neg.f64 (*.f64 (*.f64 x (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 x (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (*.f64 (*.f64 x (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 x (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (*.f64 (*.f64 x (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 x (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 x (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))))))) |
| 1× | egg-herbie |
| 9 982× | lower-fma.f64 |
| 9 982× | lower-fma.f32 |
| 5 430× | lower-*.f64 |
| 5 430× | lower-*.f32 |
| 4 772× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 477 | 3068 |
| 1 | 1344 | 2948 |
| 2 | 4023 | 2802 |
| 0 | 8254 | 2559 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 x) |
(* x (- (* 2 x) 1)) |
(* x (- (* x (+ 2 (* -1/2 x))) 1)) |
(* x (- (* x (+ 2 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)) |
(* -1 (sqrt (pow x 3))) |
(* (pow x 2) (- (* 2 (/ 1 x)) (sqrt (/ 1 x)))) |
(* (pow x 2) (- (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (/ 1 x))) (sqrt (/ 1 x)))) |
(* (pow x 2) (- (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (* 2 (/ 1 x))) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* -1 (* (pow x 3) (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* -1 (* (pow x 3) (+ 2 (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* (pow x 3) (+ 2 (+ (* -1/8 (* (sqrt (/ 1 (pow x 13))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(* -1 (* (pow x 3) (+ 2 (+ (* -1/8 (* (sqrt (/ 1 (pow x 13))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 19))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 2 x) 1))) |
(+ 1 (* x (- (* x (+ 2 (* -1/2 x))) 1))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6))))) |
(* -1 (* (pow x 3) (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))))) |
(* -1 (* (pow x 3) (- (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) (/ 1 (pow x 3))))) |
(* -1 (* (pow x 3) (+ 2 (+ (* -1 (/ (+ 1 (* -1/2 (* (sqrt (/ 1 x)) (sqrt -1)))) (pow x 3))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(* -1 (* (pow x 3) (+ 2 (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (* 1/2 (* (sqrt x) (sqrt -1)))) x))) (pow x 3))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(copysign (+ (log (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign (+ (log (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign (+ (log (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign (+ (log (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2)))))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2)))))))) x) |
(copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2)))))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2)))))))) x) |
(copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2)))))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2)))))))) x) |
(copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2)))))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2)))))))) x) |
(copysign (+ (log (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))))) (log (/ (- (sqrt (+ 1 (pow x 2))) (* -1 x)) (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))))))) x) |
(copysign (+ (log (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))))) (log (/ (- (sqrt (+ 1 (pow x 2))) (* -1 x)) (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))))))) x) |
(copysign (+ (log (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))))) (log (/ (- (sqrt (+ 1 (pow x 2))) (* -1 x)) (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))))))) x) |
(copysign (+ (log (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))))) (log (/ (- (sqrt (+ 1 (pow x 2))) (* -1 x)) (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))))))) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(+ (log 2) (+ (log (/ 1 x)) (* -2 (log (/ 1 x))))) |
(+ (log 2) (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
(- (+ (log 2) (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (/ 3/32 (pow x 4))) |
(+ (log 1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 3 (log (/ -1 x)))))) |
(- (+ (log 1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 3 (log (/ -1 x)))))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (/ 3/32 (pow x 4)))))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (/ 3/32 (pow x 4)))))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(copysign (+ x (pow x 2)) x) |
(copysign (+ x (pow x 2)) x) |
(copysign (+ x (pow x 2)) x) |
(copysign (+ x (pow x 2)) x) |
(copysign (+ x (pow x 2)) x) |
(copysign (+ x (pow x 2)) x) |
(copysign (+ x (pow x 2)) x) |
(copysign (+ x (pow x 2)) x) |
(copysign (- (pow x 2) (* -1 x)) x) |
(copysign (- (pow x 2) (* -1 x)) x) |
(copysign (- (pow x 2) (* -1 x)) x) |
(copysign (- (pow x 2) (* -1 x)) x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1 (/ 1 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(+ 1 (fabs x)) |
(+ 1 (fabs x)) |
(+ 1 (fabs x)) |
(+ 1 (fabs x)) |
(+ 1 (fabs x)) |
(+ 1 (fabs x)) |
(+ 1 (fabs x)) |
(+ 1 (fabs x)) |
(+ 1 (fabs x)) |
(+ 1 (fabs x)) |
(+ 1 (fabs x)) |
(+ 1 (fabs x)) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(copysign (neg (+ (log (/ -1 x)) (/ (fabs x) x))) x) |
(copysign (neg (+ (log (/ -1 x)) (/ (fabs x) x))) x) |
(copysign (neg (+ (log (/ -1 x)) (/ (fabs x) x))) x) |
(copysign (neg (+ (log (/ -1 x)) (/ (fabs x) x))) x) |
(copysign (neg (+ (log (/ -1 x)) (/ (fabs x) x))) x) |
(copysign (neg (+ (log (/ -1 x)) (/ (fabs x) x))) x) |
(copysign (neg (+ (log (/ -1 x)) (/ (fabs x) x))) x) |
(copysign (neg (+ (log (/ -1 x)) (/ (fabs x) x))) x) |
(copysign (neg (+ (log (/ -1 x)) (/ (fabs x) x))) x) |
(copysign (neg (+ (log (/ -1 x)) (/ (fabs x) x))) x) |
(copysign (neg (+ (log (/ -1 x)) (/ (fabs x) x))) x) |
(copysign (neg (+ (log (/ -1 x)) (/ (fabs x) x))) x) |
(* -1 (/ (fabs x) x)) |
(/ (- (* x (log x)) (fabs x)) x) |
(/ (- (* x (log x)) (fabs x)) x) |
(/ (- (* x (log x)) (fabs x)) x) |
(* -1 (+ (log -1) (log (/ 1 x)))) |
(- (* -1 (/ (fabs x) x)) (+ (log -1) (log (/ 1 x)))) |
(- (* -1 (/ (fabs x) x)) (+ (log -1) (log (/ 1 x)))) |
(- (* -1 (/ (fabs x) x)) (+ (log -1) (log (/ 1 x)))) |
(* -1 (log (/ -1 x))) |
(- (* -1 (/ (fabs x) x)) (log (/ -1 x))) |
(- (* -1 (/ (fabs x) x)) (log (/ -1 x))) |
(- (* -1 (/ (fabs x) x)) (log (/ -1 x))) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(* -1 (/ (fabs x) x)) |
(* -1 (/ (fabs x) x)) |
(* -1 (/ (fabs x) x)) |
(* -1 (/ (fabs x) x)) |
(* -1 (/ (fabs x) x)) |
(* -1 (/ (fabs x) x)) |
(* -1 (/ (fabs x) x)) |
(* -1 (/ (fabs x) x)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
1 |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 4 x) 1))) |
(+ 1 (* (pow x 2) (- (* x (+ 4 (* -5 x))) 1))) |
(* -1 (pow x 4)) |
(* (pow x 4) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 4) (- (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 2))) 1)) |
(* (pow x 4) (- (+ (/ 1/2 (pow x 4)) (+ (/ 1 (pow x 2)) (* 1/4 (/ 1 (pow x 6))))) 1)) |
(* (pow x 9) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 3)) |
(* -1 (* (pow x 9) (- (* -1 (/ (+ (* 1/2 (* (sqrt x) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* (sqrt x) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (pow x 4))) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 3)))) |
(* -1 (* (pow x 9) (- (* -1 (/ (+ (* -1/2 (* x (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))))) (+ (* -1/8 (* (sqrt (pow x 3)) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1/4 x) (* -1/4 (* (sqrt (pow x 3)) (* (sqrt -1) (+ 2 (* (sqrt (/ 1 x)) (sqrt -1)))))))))) (pow x 8))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (+ (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2))) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 3)))))) |
(* -1 (* (pow x 9) (- (* -1 (/ (+ (* -1/2 (* x (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))))) (+ (* -1/8 (* (sqrt (pow x 3)) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (+ (* (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1/4 x) (* -1/4 (* (sqrt (pow x 3)) (* (sqrt -1) (+ 2 (* (sqrt (/ 1 x)) (sqrt -1)))))))) (/ 1 x)))) (pow x 8))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (+ (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2))) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 3)))))) |
x |
(* x (+ 1 (* -2 x))) |
(* x (+ 1 (* x (- (* 1/2 x) 2)))) |
(* x (+ 1 (* x (- (* x (+ 1/2 (* -1/8 (pow x 2)))) 2)))) |
(* (pow x 3) (- (sqrt (/ 1 x)) 2)) |
(* (pow x 3) (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 7))))) 2)) |
(* (pow x 3) (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 13)))) (* 1/2 (sqrt (/ 1 (pow x 7)))))) 2)) |
(* (pow x 3) (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 13)))) (+ (* 1/16 (sqrt (/ 1 (pow x 19)))) (* 1/2 (sqrt (/ 1 (pow x 7))))))) 2)) |
(* -1 (* (sqrt (pow x 3)) (sqrt -1))) |
(* (pow x 2) (- (* 2 (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (sqrt -1))) 2) x)) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (sqrt -1))) (* 1/2 (* (sqrt x) (sqrt -1)))) x)) 2) x)) (* (sqrt (/ 1 x)) (sqrt -1)))) |
1 |
(+ 1 (* 2 x)) |
(+ 1 (* x (+ 2 (* 1/2 x)))) |
(+ 1 (* x (+ 2 (* x (+ 1/2 (* -3 x)))))) |
(/ 2 x) |
(/ (- 2 (* 1/2 (/ 1 (pow x 2)))) x) |
(/ (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))) x) |
(/ (- (+ 2 (* 5/16 (/ 1 (pow x 6)))) (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) x) |
(/ -1/6 (pow x 3)) |
(* -1 (/ (- 1/6 (* 1/8 (/ 1 (pow x 2)))) (pow x 3))) |
(* -1 (/ (- (+ 1/6 (/ 13/144 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) (pow x 3))) |
(* -1 (/ (- (+ 1/6 (/ 13/144 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 77/1152 (/ 1 (pow x 6))))) (pow x 3))) |
x |
x |
x |
x |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(* -1 (log x)) |
(* -1 (log x)) |
(* -1 (log x)) |
(* -1 (log x)) |
(+ (log -1) (log (/ 1 x))) |
(+ (log -1) (log (/ 1 x))) |
(+ (log -1) (log (/ 1 x))) |
(+ (log -1) (log (/ 1 x))) |
(log (/ -1 x)) |
(log (/ -1 x)) |
(log (/ -1 x)) |
(log (/ -1 x)) |
(* 2 x) |
(* x (+ 2 (* -5/2 x))) |
(* x (+ 2 (* x (- (* 8/3 x) 5/2)))) |
(* x (+ 2 (* x (- (* x (+ 8/3 (* -19/4 x))) 5/2)))) |
(+ (log -2) (* -3 (log (/ 1 x)))) |
(- (+ (log -2) (* -3 (log (/ 1 x)))) (* 5/4 (/ 1 (pow x 2)))) |
(+ (log -2) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 5/4 (* 35/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log -2) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 35/32 (* 91/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 5/4 (/ 1 (pow x 2)))) |
(+ (log (* -1 (* (sqrt (/ 1 x)) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (* -8 (log (/ -1 x)))) |
(+ (log (* -1 (* (sqrt (/ 1 x)) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (+ (* -8 (log (/ -1 x))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(+ (log (* -1 (* (sqrt (/ 1 x)) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (+ (* -8 (log (/ -1 x))) (* -1 (/ (- (* -1 (* (sqrt x) (sqrt -1))) 1/2) x)))) |
(+ (log (* -1 (* (sqrt (/ 1 x)) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (+ (* -8 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (sqrt x) (sqrt -1))) (* -1 (/ (+ (* -1/6 (/ (- (* -2 (* (sqrt (pow x 3)) (sqrt -1))) (* 6 (/ 1 (+ 2 (* (sqrt (/ 1 x)) (sqrt -1)))))) x)) (* 1/2 x)) x))) x)))) |
| Outputs |
|---|
(* -1 x) |
(neg.f64 x) |
(* x (- (* 2 x) 1)) |
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))) |
(* x (- (* x (+ 2 (* -1/2 x))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(* x (- (* x (+ 2 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(* -1 (sqrt (pow x 3))) |
(neg.f64 (sqrt.f64 (*.f64 x (*.f64 x x)))) |
(* (pow x 2) (- (* 2 (/ 1 x)) (sqrt (/ 1 x)))) |
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* (pow x 2) (- (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (/ 1 x))) (sqrt (/ 1 x)))) |
(*.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* (pow x 2) (- (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (* 2 (/ 1 x))) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(*.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* -1 (* (pow x 3) (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (neg.f64 (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 2 (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (neg.f64 (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 2 (+ (* -1/8 (* (sqrt (/ 1 (pow x 13))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 13 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (neg.f64 (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 2 (+ (* -1/8 (* (sqrt (/ 1 (pow x 13))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 19))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 13 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 19 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))))) #s(literal 2 binary64)) (neg.f64 (*.f64 x (*.f64 x x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 2 x) 1))) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 2 (* -1/2 x))) 1))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1/2 binary64)) |
(* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6))))) |
(+.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(* -1 (* (pow x 3) (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (neg.f64 (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 3) (- (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) (/ 1 (pow x 3))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(* -1 (* (pow x 3) (+ 2 (+ (* -1 (/ (+ 1 (* -1/2 (* (sqrt (/ 1 x)) (sqrt -1)))) (pow x 3))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal -2 binary64)))) |
(* -1 (* (pow x 3) (+ 2 (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (* 1/2 (* (sqrt x) (sqrt -1)))) x))) (pow x 3))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) (*.f64 x (*.f64 x x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal -2 binary64)))) |
(copysign (+ (log (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign.f64 (+.f64 (log1p.f64 (*.f64 x (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))))) x) |
(copysign (+ (log (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign.f64 (+.f64 (log1p.f64 (*.f64 x (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))))) x) |
(copysign (+ (log (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign.f64 (+.f64 (log1p.f64 (*.f64 x (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))))) x) |
(copysign (+ (log (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* x (- x (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign.f64 (+.f64 (log1p.f64 (*.f64 x (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))))) x) |
(copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2)))))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2)))))))) x) |
(copysign.f64 (+.f64 (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))) (log1p.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x) |
(copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2)))))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2)))))))) x) |
(copysign.f64 (+.f64 (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))) (log1p.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x) |
(copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2)))))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2)))))))) x) |
(copysign.f64 (+.f64 (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))) (log1p.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x) |
(copysign (+ (log (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2)))))) (log (/ (+ x (sqrt (+ 1 (pow x 2)))) (- (+ 1 (* 2 (pow x 2))) (* x (sqrt (+ 1 (pow x 2)))))))) x) |
(copysign.f64 (+.f64 (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))) (log1p.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x) |
(copysign (+ (log (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))))) (log (/ (- (sqrt (+ 1 (pow x 2))) (* -1 x)) (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))))))) x) |
(copysign.f64 (+.f64 (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))) (log1p.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x) |
(copysign (+ (log (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))))) (log (/ (- (sqrt (+ 1 (pow x 2))) (* -1 x)) (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))))))) x) |
(copysign.f64 (+.f64 (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))) (log1p.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x) |
(copysign (+ (log (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))))) (log (/ (- (sqrt (+ 1 (pow x 2))) (* -1 x)) (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))))))) x) |
(copysign.f64 (+.f64 (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))) (log1p.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x) |
(copysign (+ (log (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))))) (log (/ (- (sqrt (+ 1 (pow x 2))) (* -1 x)) (+ 1 (+ (* -1 (* x (sqrt (+ 1 (pow x 2))))) (* 2 (pow x 2))))))) x) |
(copysign.f64 (+.f64 (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))) (log1p.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x) |
(+ (log 2) (+ (log (/ 1 x)) (* -2 (log (/ 1 x))))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x))) |
(- (+ (log 2) (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))) (/ 3/32 (pow x 4))) |
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x))) (/.f64 #s(literal -3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(- (+ (log 2) (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (/ 3/32 (pow x 4))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(+ (log 1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 3 (log (/ -1 x)))))) |
(+.f64 (log.f64 #s(literal 3 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/6 binary64)))) |
(- (+ (log 1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 3 (log (/ -1 x)))))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 #s(literal 3 binary64))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/6 binary64)))) |
(- (+ (log 1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (/ 3/32 (pow x 4)))))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 #s(literal 3 binary64))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/6 binary64)))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(- (+ (log 1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (/ 3/32 (pow x 4)))))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(+.f64 (+.f64 (log.f64 #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (+.f64 (log.f64 #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(copysign (+ x (pow x 2)) x) |
(copysign.f64 (fma.f64 x x x) x) |
(copysign (+ x (pow x 2)) x) |
(copysign.f64 (fma.f64 x x x) x) |
(copysign (+ x (pow x 2)) x) |
(copysign.f64 (fma.f64 x x x) x) |
(copysign (+ x (pow x 2)) x) |
(copysign.f64 (fma.f64 x x x) x) |
(copysign (+ x (pow x 2)) x) |
(copysign.f64 (fma.f64 x x x) x) |
(copysign (+ x (pow x 2)) x) |
(copysign.f64 (fma.f64 x x x) x) |
(copysign (+ x (pow x 2)) x) |
(copysign.f64 (fma.f64 x x x) x) |
(copysign (+ x (pow x 2)) x) |
(copysign.f64 (fma.f64 x x x) x) |
(copysign (- (pow x 2) (* -1 x)) x) |
(copysign.f64 (fma.f64 x x x) x) |
(copysign (- (pow x 2) (* -1 x)) x) |
(copysign.f64 (fma.f64 x x x) x) |
(copysign (- (pow x 2) (* -1 x)) x) |
(copysign.f64 (fma.f64 x x x) x) |
(copysign (- (pow x 2) (* -1 x)) x) |
(copysign.f64 (fma.f64 x x x) x) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* (pow x 3) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x x) x) |
(* (pow x 3) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x x) x) |
(* (pow x 3) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x x) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
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(* -1 (* (pow x 9) (- (* -1 (/ (+ (* -1/2 (* x (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))))) (+ (* -1/8 (* (sqrt (pow x 3)) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1/4 x) (* -1/4 (* (sqrt (pow x 3)) (* (sqrt -1) (+ 2 (* (sqrt (/ 1 x)) (sqrt -1)))))))))) (pow x 8))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (+ (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2))) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 3)))))) |
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(* -1 (* (pow x 9) (- (* -1 (/ (+ (* -1/2 (* x (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))))) (+ (* -1/8 (* (sqrt (pow x 3)) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (+ (* (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1/4 x) (* -1/4 (* (sqrt (pow x 3)) (* (sqrt -1) (+ 2 (* (sqrt (/ 1 x)) (sqrt -1)))))))) (/ 1 x)))) (pow x 8))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (+ (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2))) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 3)))))) |
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x |
(* x (+ 1 (* -2 x))) |
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(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (sqrt -1))) (* 1/2 (* (sqrt x) (sqrt -1)))) x)) 2) x)) (* (sqrt (/ 1 x)) (sqrt -1)))) |
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1 |
#s(literal 1 binary64) |
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(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* x (+ 1/2 (* -3 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (- 2 (* 1/2 (/ 1 (pow x 2)))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x) |
(/ (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) (*.f64 x x))) x) |
(/ (- (+ 2 (* 5/16 (/ 1 (pow x 6)))) (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) x) |
(/ -1/6 (pow x 3)) |
(/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- 1/6 (* 1/8 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (+ 1/6 (/ 13/144 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 13/144 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(* -1 (/ (- (+ 1/6 (/ 13/144 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 77/1152 (/ 1 (pow x 6))))) (pow x 3))) |
(/.f64 (+.f64 (/.f64 #s(literal 13/144 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) (/.f64 #s(literal -77/1152 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (*.f64 x (*.f64 x x)))) |
x |
x |
x |
x |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (log x)) |
(neg.f64 (log.f64 x)) |
(* -1 (log x)) |
(neg.f64 (log.f64 x)) |
(* -1 (log x)) |
(neg.f64 (log.f64 x)) |
(* -1 (log x)) |
(neg.f64 (log.f64 x)) |
(+ (log -1) (log (/ 1 x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) |
(+ (log -1) (log (/ 1 x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) |
(+ (log -1) (log (/ 1 x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) |
(+ (log -1) (log (/ 1 x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) |
(log (/ -1 x)) |
(log.f64 (/.f64 #s(literal -1 binary64) x)) |
(log (/ -1 x)) |
(log.f64 (/.f64 #s(literal -1 binary64) x)) |
(log (/ -1 x)) |
(log.f64 (/.f64 #s(literal -1 binary64) x)) |
(log (/ -1 x)) |
(log.f64 (/.f64 #s(literal -1 binary64) x)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* -5/2 x))) |
(*.f64 x (fma.f64 x #s(literal -5/2 binary64) #s(literal 2 binary64))) |
(* x (+ 2 (* x (- (* 8/3 x) 5/2)))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 8/3 binary64) #s(literal -5/2 binary64)) #s(literal 2 binary64))) |
(* x (+ 2 (* x (- (* x (+ 8/3 (* -19/4 x))) 5/2)))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -19/4 binary64) #s(literal 8/3 binary64)) #s(literal -5/2 binary64)) #s(literal 2 binary64))) |
(+ (log -2) (* -3 (log (/ 1 x)))) |
(fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal -2 binary64))) |
(- (+ (log -2) (* -3 (log (/ 1 x)))) (* 5/4 (/ 1 (pow x 2)))) |
(+.f64 (log.f64 #s(literal -2 binary64)) (fma.f64 #s(literal 3 binary64) (log.f64 x) (/.f64 #s(literal -5/4 binary64) (*.f64 x x)))) |
(+ (log -2) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 5/4 (* 35/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(-.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 5/4 binary64) (/.f64 #s(literal 35/32 binary64) (*.f64 x x))) (*.f64 x x))) |
(- (+ (log -2) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 35/32 (* 91/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 5/4 (/ 1 (pow x 2)))) |
(+.f64 (-.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 35/32 binary64) (/.f64 #s(literal 91/96 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal -5/4 binary64) (*.f64 x x))) |
(+ (log (* -1 (* (sqrt (/ 1 x)) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (* -8 (log (/ -1 x)))) |
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -8 binary64) (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal -2 binary64)))))) |
(+ (log (* -1 (* (sqrt (/ 1 x)) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (+ (* -8 (log (/ -1 x))) (* (sqrt (/ 1 x)) (sqrt -1)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -8 binary64) (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal -2 binary64))))))) |
(+ (log (* -1 (* (sqrt (/ 1 x)) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (+ (* -8 (log (/ -1 x))) (* -1 (/ (- (* -1 (* (sqrt x) (sqrt -1))) 1/2) x)))) |
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -8 binary64) (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal -2 binary64)))))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64)) x)) |
(+ (log (* -1 (* (sqrt (/ 1 x)) (* (sqrt -1) (pow (+ 2 (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (+ (* -8 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (sqrt x) (sqrt -1))) (* -1 (/ (+ (* -1/6 (/ (- (* -2 (* (sqrt (pow x 3)) (sqrt -1))) (* 6 (/ 1 (+ 2 (* (sqrt (/ 1 x)) (sqrt -1)))))) x)) (* 1/2 x)) x))) x)))) |
(+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -8 binary64) (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal -2 binary64)))))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) x) (*.f64 x #s(literal 1/2 binary64))) x)) x)) |
Compiled 100 669 to 7 056 computations (93% saved)
20 alts after pruning (15 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 613 | 9 | 1 622 |
| Fresh | 11 | 6 | 17 |
| Picked | 4 | 1 | 5 |
| Done | 3 | 4 | 7 |
| Total | 1 631 | 20 | 1 651 |
| Status | Accuracy | Program |
|---|---|---|
| 52.5% | (copysign.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x) x) | |
| 52.5% | (copysign.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x) | |
| 52.5% | (copysign.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) x) x) | |
| 52.1% | (copysign.f64 (fma.f64 x (*.f64 x x) x) x) | |
| ✓ | 51.6% | (copysign.f64 (fma.f64 x x x) x) |
| 9.6% | (copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x) | |
| 9.3% | (copysign.f64 (-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (neg.f64 (log.f64 (neg.f64 x)))) x) | |
| ✓ | 59.7% | (copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))) x) |
| ✓ | 71.7% | (copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
| 25.2% | (copysign.f64 (+.f64 (log.f64 #s(literal 3 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/6 binary64)))) x) | |
| 51.6% | (copysign.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) x) | |
| 12.2% | (copysign.f64 (*.f64 x #s(literal 2 binary64)) x) | |
| 17.3% | (copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x) | |
| ✓ | 64.9% | (copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
| ✓ | 57.3% | (copysign.f64 (log1p.f64 x) x) |
| 26.3% | (copysign.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x x))) x) | |
| 26.2% | (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) | |
| 27.4% | (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) | |
| 17.4% | (copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) | |
| 26.2% | (copysign.f64 (log.f64 (+.f64 x x)) x) |
Compiled 2 119 to 449 computations (78.8% saved)
| Inputs |
|---|
(copysign.f64 (*.f64 x #s(literal 2 binary64)) x) |
(copysign.f64 (fma.f64 x x x) x) |
(copysign.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) x) |
(copysign.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x) x) |
(copysign.f64 (fma.f64 x (*.f64 x x) x) x) |
(copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x) |
(copysign.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x) |
(copysign.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) x) |
(copysign.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) x) x) |
(copysign.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x) x) |
(copysign.f64 (log1p.f64 x) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 x #s(literal 1 binary64))) x) |
(copysign.f64 (log.f64 (+.f64 x x)) x) |
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x x))) x) |
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (*.f64 x x)))) x) |
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
(copysign.f64 (-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (neg.f64 (log.f64 (neg.f64 x)))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
(copysign.f64 (-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x) |
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x) |
(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x) |
(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) x) |
(copysign.f64 (-.f64 (*.f64 x (fma.f64 x #s(literal -3/2 binary64) #s(literal 2 binary64))) (log1p.f64 (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64))))) x) |
(copysign.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal -3/2 binary64)) #s(literal 2 binary64))) (log1p.f64 (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64))))) x) |
(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (neg.f64 (fabs.f64 x)))) (-.f64 x (log1p.f64 (fma.f64 x x (neg.f64 (fabs.f64 x)))))) x) |
(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))) x) |
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))) x) |
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) |
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) |
(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
(copysign.f64 (-.f64 (log.f64 (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) (log.f64 (/.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x) |
(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
(copysign.f64 (+.f64 (log.f64 #s(literal 3 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/6 binary64)))) x) |
(copysign.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (neg.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))))) x) |
(copysign.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (neg.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) x) |
(copysign.f64 (-.f64 (+.f64 (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) |
(copysign.f64 (-.f64 (log.f64 (*.f64 (fma.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64))))) x) |
(copysign.f64 (neg.f64 (+.f64 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))) x) |
(copysign.f64 (+.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))))))) (log.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) x) |
(copysign.f64 (-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 1 binary64)))) (log1p.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log1p.f64 (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64))))) x) |
(copysign.f64 (-.f64 (-.f64 (log.f64 (*.f64 (fma.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 (/.f64 (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log1p.f64 (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64))))) x) |
(copysign.f64 (-.f64 (-.f64 (log.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) |
(copysign.f64 (-.f64 (-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 6 binary64)) #s(literal -1 binary64)) (neg.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (*.f64 (fma.f64 (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))))) (log1p.f64 (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64))))) x) |
(copysign.f64 (-.f64 (log.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (log.f64 (fma.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))) x) |
(copysign.f64 (-.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 2 binary64)) (log.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 (pow.f64 (log1p.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) #s(literal 2 binary64)) (log.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))) x) |
(copysign.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 3 binary64))) (fma.f64 (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (/.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) (pow.f64 (log1p.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) #s(literal 2 binary64)))) x) |
| Outputs |
|---|
(copysign.f64 (+.f64 (log.f64 #s(literal 3 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/6 binary64)))) x) |
(copysign.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x) x) |
(copysign.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x x))) x) |
2 calls:
| 17.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| 15.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | x |
| 99.5% | 3 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f64 (*.f64 x #s(literal 2 binary64)) x) |
(copysign.f64 (fma.f64 x x x) x) |
(copysign.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) x) |
(copysign.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x) x) |
(copysign.f64 (fma.f64 x (*.f64 x x) x) x) |
(copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x) |
(copysign.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x) |
(copysign.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) x) |
(copysign.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) x) x) |
(copysign.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x) x) |
(copysign.f64 (log1p.f64 x) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 x #s(literal 1 binary64))) x) |
(copysign.f64 (log.f64 (+.f64 x x)) x) |
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x x))) x) |
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (*.f64 x x)))) x) |
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
(copysign.f64 (-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (neg.f64 (log.f64 (neg.f64 x)))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
(copysign.f64 (-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x) |
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x) |
(copysign.f64 (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)))) x) |
(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) x) |
(copysign.f64 (-.f64 (*.f64 x (fma.f64 x #s(literal -3/2 binary64) #s(literal 2 binary64))) (log1p.f64 (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64))))) x) |
(copysign.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal -3/2 binary64)) #s(literal 2 binary64))) (log1p.f64 (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 1 binary64))))) x) |
(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (neg.f64 (fabs.f64 x)))) (-.f64 x (log1p.f64 (fma.f64 x x (neg.f64 (fabs.f64 x)))))) x) |
(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))) x) |
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))) x) |
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) |
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) |
(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
(copysign.f64 (-.f64 (log.f64 (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) (log.f64 (/.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x) |
(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x) x) |
(copysign.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x x))) x) |
2 calls:
| 14.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 3 | x |
| 99.2% | 3 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f64 (*.f64 x #s(literal 2 binary64)) x) |
(copysign.f64 (fma.f64 x x x) x) |
(copysign.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) x) |
(copysign.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x) x) |
(copysign.f64 (fma.f64 x (*.f64 x x) x) x) |
(copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x) |
(copysign.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x) |
(copysign.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) x) |
(copysign.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) x) x) |
(copysign.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x) x) |
(copysign.f64 (log1p.f64 x) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 x #s(literal 1 binary64))) x) |
(copysign.f64 (log.f64 (+.f64 x x)) x) |
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x) x) |
(copysign.f64 (log.f64 (+.f64 x x)) x) |
2 calls:
| 10.0ms | x |
| 5.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 3 | x |
| 99.2% | 3 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f64 (*.f64 x #s(literal 2 binary64)) x) |
(copysign.f64 (fma.f64 x x x) x) |
(copysign.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) x) |
(copysign.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x) x) |
(copysign.f64 (fma.f64 x (*.f64 x x) x) x) |
(copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x) |
(copysign.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x) |
(copysign.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) x) |
(copysign.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) x) x) |
(copysign.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x) x) |
(copysign.f64 (log1p.f64 x) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 x #s(literal 1 binary64))) x) |
(copysign.f64 (log.f64 (+.f64 x x)) x) |
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
| Outputs |
|---|
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 x x)) x) |
2 calls:
| 5.0ms | x |
| 5.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.0% | 2 | x |
| 82.0% | 2 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f64 (*.f64 x #s(literal 2 binary64)) x) |
(copysign.f64 (fma.f64 x x x) x) |
(copysign.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) x) |
(copysign.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x) x) |
(copysign.f64 (fma.f64 x (*.f64 x x) x) x) |
(copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x) |
(copysign.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x) |
(copysign.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) x) |
(copysign.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) x) x) |
(copysign.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x) x) |
(copysign.f64 (log1p.f64 x) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 x #s(literal 1 binary64))) x) |
| Outputs |
|---|
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
2 calls:
| 28.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.9% | 1 | x |
| 64.9% | 1 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f64 (*.f64 x #s(literal 2 binary64)) x) |
(copysign.f64 (fma.f64 x x x) x) |
(copysign.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) x) |
(copysign.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x) x) |
(copysign.f64 (fma.f64 x (*.f64 x x) x) x) |
(copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x) |
(copysign.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x) |
(copysign.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) x) |
(copysign.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) x) x) |
(copysign.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x) x) |
(copysign.f64 (log1p.f64 x) x) |
| Outputs |
|---|
(copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x) |
(copysign.f64 (log1p.f64 x) x) |
2 calls:
| 4.0ms | x |
| 4.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.7% | 2 | x |
| 60.7% | 2 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f64 (*.f64 x #s(literal 2 binary64)) x) |
(copysign.f64 (fma.f64 x x x) x) |
(copysign.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) x) |
(copysign.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x) x) |
(copysign.f64 (fma.f64 x (*.f64 x x) x) x) |
(copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x) |
(copysign.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x) |
(copysign.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) x) |
(copysign.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) x) x) |
(copysign.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x) x) |
| Outputs |
|---|
(copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x) |
(copysign.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x) x) |
(copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x) |
2 calls:
| 56.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.7% | 3 | x |
| 57.7% | 3 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f64 (*.f64 x #s(literal 2 binary64)) x) |
(copysign.f64 (fma.f64 x x x) x) |
(copysign.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) x) |
(copysign.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x) x) |
(copysign.f64 (fma.f64 x (*.f64 x x) x) x) |
(copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x) |
(copysign.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x) |
(copysign.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) x) |
(copysign.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) x) x) |
| Outputs |
|---|
(copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x) |
(copysign.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) x) x) |
(copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x) |
2 calls:
| 4.0ms | x |
| 3.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.6% | 3 | x |
| 57.6% | 3 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f64 (*.f64 x #s(literal 2 binary64)) x) |
(copysign.f64 (fma.f64 x x x) x) |
(copysign.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) x) |
(copysign.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x) x) |
(copysign.f64 (fma.f64 x (*.f64 x x) x) x) |
(copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x) |
(copysign.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x) |
(copysign.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) x) |
| Outputs |
|---|
(copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x) |
(copysign.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x) |
(copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x) |
2 calls:
| 41.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.5% | 3 | x |
| 57.5% | 3 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f64 (*.f64 x #s(literal 2 binary64)) x) |
(copysign.f64 (fma.f64 x x x) x) |
(copysign.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) x) |
(copysign.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x) x) |
(copysign.f64 (fma.f64 x (*.f64 x x) x) x) |
(copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x) |
| Outputs |
|---|
(copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x) |
(copysign.f64 (fma.f64 x (*.f64 x x) x) x) |
(copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x) |
2 calls:
| 3.0ms | x |
| 2.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.1% | 3 | x |
| 57.1% | 3 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f64 (*.f64 x #s(literal 2 binary64)) x) |
(copysign.f64 (fma.f64 x x x) x) |
(copysign.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) x) |
(copysign.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x) x) |
(copysign.f64 (fma.f64 x (*.f64 x x) x) x) |
| Outputs |
|---|
(copysign.f64 (fma.f64 x (*.f64 x x) x) x) |
2 calls:
| 3.0ms | x |
| 2.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.1% | 1 | x |
| 52.1% | 1 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f64 (*.f64 x #s(literal 2 binary64)) x) |
(copysign.f64 (fma.f64 x x x) x) |
(copysign.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) x) |
(copysign.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x) x) |
| Outputs |
|---|
(copysign.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x) x) |
2 calls:
| 2.0ms | x |
| 2.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.6% | 1 | x |
| 51.6% | 1 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f64 (*.f64 x #s(literal 2 binary64)) x) |
(copysign.f64 (fma.f64 x x x) x) |
(copysign.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) x) |
| Outputs |
|---|
(copysign.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) x) |
2 calls:
| 87.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.6% | 1 | x |
| 51.6% | 1 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f64 (*.f64 x #s(literal 2 binary64)) x) |
(copysign.f64 (fma.f64 x x x) x) |
| Outputs |
|---|
(copysign.f64 (fma.f64 x x x) x) |
2 calls:
| 2.0ms | x |
| 1.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.6% | 1 | x |
| 51.6% | 1 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 15 to 10 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(copysign.f64 (*.f64 x #s(literal 2 binary64)) x) |
| Outputs |
|---|
(copysign.f64 (*.f64 x #s(literal 2 binary64)) x) |
2 calls:
| 1.0ms | x |
| 1.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 12.2% | 1 | x |
| 12.2% | 1 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.03459389391070582 | 8.359063805282087 |
| 0.0ms | -12.489017009524588 | -9.304927370094713e-5 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.03459389391070582 | 8.359063805282087 |
| 0.0ms | -12.489017009524588 | -9.304927370094713e-5 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.03459389391070582 | 8.359063805282087 |
| 0.0ms | -12.489017009524588 | -9.304927370094713e-5 |
Compiled 16 to 13 computations (18.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.03459389391070582 | 8.359063805282087 |
Compiled 16 to 13 computations (18.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -12.489017009524588 | -9.304927370094713e-5 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.03459389391070582 | 8.359063805282087 |
| 0.0ms | -12.489017009524588 | -9.304927370094713e-5 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.03459389391070582 | 8.359063805282087 |
| 0.0ms | -12.489017009524588 | -9.304927370094713e-5 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.03459389391070582 | 8.359063805282087 |
| 0.0ms | -12.489017009524588 | -9.304927370094713e-5 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.03459389391070582 | 8.359063805282087 |
| 0.0ms | -12.489017009524588 | -9.304927370094713e-5 |
Compiled 16 to 13 computations (18.8% saved)
| 1× | egg-herbie |
| 18× | *-commutative_binary64 |
| 18× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 518 |
| 1 | 102 | 518 |
| 2 | 109 | 518 |
| 3 | 114 | 518 |
| 4 | 117 | 518 |
| 5 | 118 | 518 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (+.f64 (log.f64 #s(literal 3 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/6 binary64)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x x))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x x))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x x)) x)) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x)) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x) x) (copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) x) x) (copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x) (copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (fma.f64 x (*.f64 x x) x) x) (copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x))) |
(copysign.f64 (fma.f64 x (*.f64 x x) x) x) |
(copysign.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x) x) |
(copysign.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) x) |
(copysign.f64 (fma.f64 x x x) x) |
(copysign.f64 (*.f64 x #s(literal 2 binary64)) x) |
| Outputs |
|---|
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (+.f64 (log.f64 #s(literal 3 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/6 binary64)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x x))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x x))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x x)) x)) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x)) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x) x) (copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) x) x) (copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x) (copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/72057594037927936 binary64)) (copysign.f64 (fma.f64 x (*.f64 x x) x) x) (copysign.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) x))) |
(copysign.f64 (fma.f64 x (*.f64 x x) x) x) |
(copysign.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x) x) |
(copysign.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) x) |
(copysign.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) x) |
(copysign.f64 (fma.f64 x x x) x) |
(copysign.f64 (*.f64 x #s(literal 2 binary64)) x) |
| 11 512× | lower-fma.f64 |
| 11 512× | lower-fma.f32 |
| 11 316× | lower-fma.f64 |
| 11 316× | lower-fma.f32 |
| 9 982× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 202 | 830 |
| 1 | 517 | 805 |
| 2 | 1827 | 788 |
| 3 | 5317 | 764 |
| 0 | 8054 | 697 |
| 0 | 477 | 3068 |
| 1 | 1344 | 2948 |
| 2 | 4023 | 2802 |
| 0 | 8254 | 2559 |
| 0 | 946 | 7046 |
| 1 | 2844 | 6656 |
| 0 | 8500 | 5965 |
| 0 | 32 | 279 |
| 0 | 63 | 249 |
| 1 | 251 | 248 |
| 2 | 2154 | 242 |
| 0 | 8511 | 236 |
| 0 | 32 | 353 |
| 0 | 65 | 333 |
| 1 | 245 | 272 |
| 2 | 1995 | 272 |
| 0 | 9082 | 272 |
| 0 | 9 | 39 |
| 0 | 16 | 39 |
| 1 | 51 | 39 |
| 2 | 324 | 39 |
| 3 | 3419 | 39 |
| 0 | 8352 | 35 |
| 0 | 889 | 8688 |
| 1 | 2834 | 8213 |
| 0 | 9103 | 7491 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 309 to 468 computations (64.2% saved)
Compiled 1 106 to 204 computations (81.6% saved)
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