
Time bar (total: 10.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 0 |
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 1 |
| 50% | 12.5% | 12.5% | 75% | 0% | 0% | 0% | 2 |
| 75% | 18.7% | 6.2% | 75% | 0% | 0% | 0% | 3 |
| 87.5% | 21.9% | 3.1% | 75% | 0% | 0% | 0% | 4 |
| 93.8% | 23.4% | 1.6% | 75% | 0% | 0% | 0% | 5 |
| 96.9% | 24.2% | 0.8% | 75% | 0% | 0% | 0% | 6 |
| 98.4% | 24.6% | 0.4% | 75% | 0% | 0% | 0% | 7 |
| 99.2% | 24.8% | 0.2% | 75% | 0% | 0% | 0% | 8 |
| 99.6% | 24.9% | 0.1% | 75% | 0% | 0% | 0% | 9 |
| 99.8% | 24.9% | 0% | 75% | 0% | 0% | 0% | 10 |
| 99.9% | 25% | 0% | 75% | 0% | 0% | 0% | 11 |
| 100% | 25% | 0% | 75% | 0% | 0% | 0% | 12 |
Compiled 15 to 10 computations (33.3% saved)
...c/correct-round.rkt:119:19: 1.0ms (47.2% of total)ival-add: 0.0ms (0% of total)ival-cbrt: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-and: 0.0ms (0% of total)const: 0.0ms (0% of total)ival->: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)ival-<: 0.0ms (0% of total)| 705.0ms | 4846× | 1 | valid |
| 685.0ms | 3237× | 2 | valid |
| 14.0ms | 173× | 0 | valid |
ival-cbrt: 290.0ms (28.2% of total)...c/correct-round.rkt:119:19: 153.0ms (14.9% of total)backward-pass: 141.0ms (13.7% of total)ival-add: 138.0ms (13.4% of total)ival-sub: 116.0ms (11.3% of total)ival->: 105.0ms (10.2% of total)ival-<: 45.0ms (4.4% of total)ival-and: 25.0ms (2.4% of total)const: 17.0ms (1.7% of total)| 2× | egg-herbie |
| 270× | sum3-define |
| 244× | fnmadd-define |
| 184× | fmsub-define |
| 168× | fnmsub-define |
| 168× | fma-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 26 |
| 1 | 25 | 24 |
| 2 | 52 | 23 |
| 3 | 99 | 23 |
| 4 | 190 | 23 |
| 5 | 387 | 23 |
| 6 | 579 | 23 |
| 7 | 755 | 23 |
| 8 | 849 | 23 |
| 9 | 955 | 23 |
| 10 | 1033 | 23 |
| 11 | 1039 | 23 |
| 0 | 6 | 7 |
| 1 | 11 | 7 |
| 2 | 15 | 7 |
| 3 | 22 | 7 |
| 4 | 32 | 7 |
| 5 | 64 | 7 |
| 6 | 122 | 7 |
| 7 | 210 | 7 |
| 8 | 295 | 7 |
| 9 | 401 | 7 |
| 10 | 479 | 7 |
| 11 | 485 | 7 |
| 0 | 485 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- (cbrt (+ x 1)) (cbrt x)) |
| Outputs |
|---|
(- (cbrt (+ x 1)) (cbrt x)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Inputs |
|---|
(- (cbrt (+ x 1)) (cbrt x)) |
(- (cbrt (+ (neg x) 1)) (cbrt (neg x))) |
(neg (- (cbrt (+ (neg x) 1)) (cbrt (neg x)))) |
| Outputs |
|---|
(- (cbrt (+ x 1)) (cbrt x)) |
(- (cbrt (+ (neg x) 1)) (cbrt (neg x))) |
(- (cbrt (- 1 x)) (cbrt (neg x))) |
(neg (- (cbrt (+ (neg x) 1)) (cbrt (neg x)))) |
(- (cbrt (neg x)) (cbrt (- 1 x))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 254 | 0 | - | 0 | - | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (cbrt.f64 x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 46.0ms | 318× | 1 | valid |
| 36.0ms | 184× | 2 | valid |
| 1.0ms | 10× | 0 | valid |
Compiled 48 to 20 computations (58.3% saved)
ival-cbrt: 17.0ms (35.4% of total)ival-add: 14.0ms (29.1% of total)backward-pass: 10.0ms (20.8% of total)ival-sub: 6.0ms (12.5% of total)const: 1.0ms (2.1% of total)Compiled 8 to 6 computations (25% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 6.5% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cbrt.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 124× | fnmadd-define |
| 122× | sum3-define |
| 80× | fma-lowering-fma.f32 |
| 80× | fnmsub-define |
| 80× | fmsub-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 1 | 11 | 18 |
| 2 | 15 | 18 |
| 3 | 22 | 18 |
| 4 | 32 | 18 |
| 5 | 64 | 18 |
| 6 | 122 | 18 |
| 7 | 210 | 18 |
| 8 | 295 | 18 |
| 9 | 401 | 18 |
| 10 | 479 | 18 |
| 11 | 485 | 18 |
| 0 | 485 | 18 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (cbrt (+ x 1)) (cbrt x)) |
(cbrt (+ x 1)) |
(+ x 1) |
x |
1 |
(cbrt x) |
| Outputs |
|---|
(- (cbrt (+ x 1)) (cbrt x)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(cbrt (+ x 1)) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
x |
1 |
#s(literal 1 binary64) |
(cbrt x) |
(cbrt.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 99.2% | (cbrt.f64 x) |
| ✓ | accuracy | 99.2% | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 6.6% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 22.0ms | 159× | 1 | valid |
| 19.0ms | 92× | 2 | valid |
| 0.0ms | 5× | 0 | valid |
Compiled 20 to 7 computations (65% saved)
ival-cbrt: 9.0ms (41.9% of total)backward-pass: 5.0ms (23.3% of total)ival-add: 4.0ms (18.6% of total)ival-sub: 3.0ms (14% of total)const: 1.0ms (4.7% of total)| Inputs |
|---|
#<alt (- (cbrt (+ x 1)) (cbrt x))> |
#<alt (cbrt (+ x 1))> |
#<alt (+ x 1)> |
#<alt (cbrt x)> |
| Outputs |
|---|
#<alt (- 1 (cbrt x))> |
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))> |
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))> |
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))> |
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt 1> |
#<alt (+ 1 (* 1/3 x))> |
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))> |
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))> |
#<alt (cbrt x)> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (- (cbrt (+ x 1)) (cbrt x)) |
| 3.0ms | x | @ | inf | (- (cbrt (+ x 1)) (cbrt x)) |
| 1.0ms | x | @ | 0 | (cbrt x) |
| 1.0ms | x | @ | -inf | (cbrt x) |
| 1.0ms | x | @ | inf | (cbrt x) |
| 1× | batch-egg-rewrite |
| 2230× | *-lowering-*.f32 |
| 2230× | *-lowering-*.f64 |
| 1490× | fmsub-define |
| 1482× | fmm-def |
| 1266× | fma-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 1 | 39 | 16 |
| 2 | 288 | 16 |
| 3 | 3370 | 16 |
| 0 | 8832 | 16 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (cbrt (+ x 1)) (cbrt x)) |
(cbrt (+ x 1)) |
(+ x 1) |
(cbrt x) |
| Outputs |
|---|
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(+.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) (+.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
(+.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))) |
(+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)))) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(-.f64 #s(literal 0 binary64) (-.f64 (cbrt.f64 x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)))) |
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)))) |
(-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal 0 binary64)) (cbrt.f64 x)) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))))) |
(fma.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))))) |
(fma.f64 #s(literal -1 binary64) (cbrt.f64 x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))) |
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(fma.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(fma.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
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(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(/.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/3 binary64))) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 6 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (*.f64 x x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(*.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)))) |
(*.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/6 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 2/3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))) |
(cbrt.f64 x) |
(pow.f64 x #s(literal 1/3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) |
(*.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/9 binary64)) (pow.f64 x #s(literal 2/9 binary64))) |
| 1× | egg-herbie |
| 3426× | *-lowering-*.f32 |
| 3426× | *-lowering-*.f64 |
| 1786× | /-lowering-/.f32 |
| 1786× | /-lowering-/.f64 |
| 1556× | +-lowering-+.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 146 | 551 |
| 1 | 378 | 518 |
| 2 | 1079 | 511 |
| 3 | 3255 | 508 |
| 0 | 8048 | 508 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
1 |
(+ 1 (* 1/3 x)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(cbrt x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
| Outputs |
|---|
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(+.f64 (-.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 x #s(literal 1/3 binary64))) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(+.f64 (-.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/9 binary64))))) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(+.f64 (-.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64))))))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (*.f64 x x)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (+.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 (+.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (/.f64 #s(literal -10/243 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64)))) (*.f64 #s(literal -5/81 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/3 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64))) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/9 binary64))))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64))))))) |
(cbrt x) |
(cbrt.f64 x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(*.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(*.f64 x (+.f64 (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) |
(*.f64 x (+.f64 (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))) (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))))))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 x (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (cbrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(-.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (+.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (cbrt.f64 #s(literal -1 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
Compiled 6780 to 1049 computations (84.5% saved)
22 alts after pruning (21 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 300 | 21 | 321 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 300 | 22 | 322 |
| Status | Accuracy | Program |
|---|---|---|
| 5.9% | (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))))) | |
| 6.0% | (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))))) | |
| 4.1% | (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) | |
| 6.7% | (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) | |
| 3.8% | (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 (+.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (/.f64 #s(literal -10/243 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64)))) (*.f64 #s(literal -5/81 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) | |
| 23.5% | (/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) (*.f64 x x)) | |
| 23.2% | (/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) | |
| ▶ | 5.0% | (-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x)) |
| 6.4% | (-.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 x)) | |
| 6.5% | (-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) | |
| 7.6% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) | |
| 7.6% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| 7.6% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64)))) | |
| 6.7% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)))) | |
| ✓ | 6.5% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 4.0% | (-.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (cbrt.f64 x)) | |
| 5.5% | (-.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (cbrt.f64 x)) | |
| ▶ | 6.1% | (-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x)) |
| ▶ | 1.8% | (-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| ▶ | 6.5% | (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) |
| ▶ | 54.2% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 2.4% | (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)))) #s(literal -1 binary64))) |
Compiled 768 to 496 computations (35.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 13440 | (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) |
| ✓ | cost-diff | 0 | (log1p.f64 x) |
| ✓ | cost-diff | 12672 | (exp.f64 (log1p.f64 x)) |
| ✓ | cost-diff | 12672 | (cbrt.f64 (exp.f64 (log1p.f64 x))) |
| ✓ | cost-diff | 12672 | (-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x)) |
| ✓ | cost-diff | 0 | (log1p.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (log1p.f64 x)) |
| ✓ | cost-diff | 6400 | (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) |
| ✓ | cost-diff | 6400 | (-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x)) |
| ✓ | cost-diff | 0 | (cbrt.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 2464× | sum4-define |
| 1804× | fnmadd-define |
| 1544× | fmsub-define |
| 1536× | fma-define |
| 1374× | sum3-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 114 |
| 1 | 44 | 114 |
| 2 | 69 | 109 |
| 3 | 131 | 109 |
| 4 | 401 | 109 |
| 5 | 1103 | 109 |
| 6 | 2768 | 109 |
| 7 | 4787 | 109 |
| 0 | 8102 | 109 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (cbrt (/ 1 (* x x)))) |
1/3 |
(cbrt (/ 1 (* x x))) |
(/ 1 (* x x)) |
1 |
(* x x) |
x |
(- 1 (cbrt x)) |
1 |
(cbrt x) |
x |
(- (exp (* 1/3 (log (+ 1 x)))) (cbrt x)) |
(exp (* 1/3 (log (+ 1 x)))) |
(* 1/3 (log (+ 1 x))) |
1/3 |
(log (+ 1 x)) |
x |
(cbrt x) |
(- (cbrt (exp (log (+ 1 x)))) (cbrt x)) |
(cbrt (exp (log (+ 1 x)))) |
(exp (log (+ 1 x))) |
(log (+ 1 x)) |
x |
(cbrt x) |
(* (+ (pow (+ x 1) 1/6) (pow x 1/6)) (- (pow (+ x 1) 1/6) (pow x 1/6))) |
(+ (pow (+ x 1) 1/6) (pow x 1/6)) |
(pow (+ x 1) 1/6) |
(+ x 1) |
x |
1 |
1/6 |
(pow x 1/6) |
(- (pow (+ x 1) 1/6) (pow x 1/6)) |
| Outputs |
|---|
(* 1/3 (cbrt (/ 1 (* x x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
1/3 |
#s(literal 1/3 binary64) |
(cbrt (/ 1 (* x x))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ 1 (* x x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(* x x) |
(*.f64 x x) |
x |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
1 |
#s(literal 1 binary64) |
(cbrt x) |
(cbrt.f64 x) |
x |
(- (exp (* 1/3 (log (+ 1 x)))) (cbrt x)) |
(-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) |
(exp (* 1/3 (log (+ 1 x)))) |
(cbrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(* 1/3 (log (+ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (log1p.f64 x)) |
1/3 |
#s(literal 1/3 binary64) |
(log (+ 1 x)) |
(log1p.f64 x) |
x |
(cbrt x) |
(cbrt.f64 x) |
(- (cbrt (exp (log (+ 1 x)))) (cbrt x)) |
(-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) |
(cbrt (exp (log (+ 1 x)))) |
(cbrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(exp (log (+ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(log (+ 1 x)) |
(log1p.f64 x) |
x |
(cbrt x) |
(cbrt.f64 x) |
(* (+ (pow (+ x 1) 1/6) (pow x 1/6)) (- (pow (+ x 1) 1/6) (pow x 1/6))) |
(-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) |
(+ (pow (+ x 1) 1/6) (pow x 1/6)) |
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(pow (+ x 1) 1/6) |
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) |
(+ x 1) |
(+.f64 #s(literal 1 binary64) x) |
x |
1 |
#s(literal 1 binary64) |
1/6 |
#s(literal 1/6 binary64) |
(pow x 1/6) |
(pow.f64 x #s(literal 1/6 binary64)) |
(- (pow (+ x 1) 1/6) (pow x 1/6)) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) |
| ✓ | accuracy | 100.0% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
| ✓ | accuracy | 100.0% | (exp.f64 (log1p.f64 x)) |
| ✓ | accuracy | 100.0% | (cbrt.f64 (exp.f64 (log1p.f64 x))) |
| ✓ | accuracy | 100.0% | (cbrt.f64 x) |
| ✓ | accuracy | 100.0% | (-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x)) |
| ✓ | accuracy | 100.0% | (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/3 binary64) (log1p.f64 x)) |
| ✓ | accuracy | 100.0% | (cbrt.f64 x) |
| ✓ | accuracy | 100.0% | (-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x)) |
| ✓ | accuracy | 100.0% | (cbrt.f64 x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 100.0% | (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 1.0s | 254× | 5 | exit |
| 1.0ms | 2× | 0 | valid |
Compiled 128 to 24 computations (81.3% saved)
ival-exp: 432.0ms (49.7% of total)ival-pow: 83.0ms (9.5% of total)...c/correct-round.rkt:119:19: 79.0ms (9.1% of total)backward-pass: 76.0ms (8.7% of total)ival-mult: 57.0ms (6.6% of total)ival-cbrt: 52.0ms (6% of total)ival-sub: 31.0ms (3.6% of total)compiled-spec: 24.0ms (2.8% of total)ival-add: 23.0ms (2.6% of total)ival-div: 7.0ms (0.8% of total)ival-log: 6.0ms (0.7% of total)const: 1.0ms (0.1% of total)| Inputs |
|---|
#<alt (* 1/3 (cbrt (/ 1 (* x x))))> |
#<alt (cbrt (/ 1 (* x x)))> |
#<alt (/ 1 (* x x))> |
#<alt (* x x)> |
#<alt (- 1 (cbrt x))> |
#<alt (cbrt x)> |
#<alt (- (exp (* 1/3 (log (+ 1 x)))) (cbrt x))> |
#<alt (exp (* 1/3 (log (+ 1 x))))> |
#<alt (* 1/3 (log (+ 1 x)))> |
#<alt (log (+ 1 x))> |
#<alt (- (cbrt (exp (log (+ 1 x)))) (cbrt x))> |
#<alt (cbrt (exp (log (+ 1 x))))> |
#<alt (exp (log (+ 1 x)))> |
#<alt (* (+ (pow (+ x 1) 1/6) (pow x 1/6)) (- (pow (+ x 1) 1/6) (pow x 1/6)))> |
#<alt (+ (pow (+ x 1) 1/6) (pow x 1/6))> |
#<alt (pow (+ x 1) 1/6)> |
#<alt (+ x 1)> |
#<alt (- (pow (+ x 1) 1/6) (pow x 1/6))> |
| Outputs |
|---|
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (- 1 (cbrt x))> |
#<alt (- 1 (cbrt x))> |
#<alt (- 1 (cbrt x))> |
#<alt (- 1 (cbrt x))> |
#<alt (* -1 (cbrt x))> |
#<alt (* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))> |
#<alt (* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))> |
#<alt (* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))> |
#<alt (* (cbrt x) (cbrt -1))> |
#<alt (* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))> |
#<alt (* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))> |
#<alt (* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (- 1 (cbrt x))> |
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))> |
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))> |
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))> |
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt 1> |
#<alt (+ 1 (* 1/3 x))> |
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))> |
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))> |
#<alt (cbrt x)> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* 1/3 x)> |
#<alt (* x (+ 1/3 (* -1/6 x)))> |
#<alt (* x (+ 1/3 (* x (- (* 1/9 x) 1/6))))> |
#<alt (* x (+ 1/3 (* x (- (* x (+ 1/9 (* -1/12 x))) 1/6))))> |
#<alt (* -1/3 (log (/ 1 x)))> |
#<alt (+ (* -1/3 (log (/ 1 x))) (* 1/3 (/ 1 x)))> |
#<alt (- (+ (* -1/3 (log (/ 1 x))) (* 1/3 (/ 1 x))) (/ 1/6 (pow x 2)))> |
#<alt (- (+ (* -1/3 (log (/ 1 x))) (+ (* 1/3 (/ 1 x)) (* 1/9 (/ 1 (pow x 3))))) (/ 1/6 (pow x 2)))> |
#<alt (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (+ (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))) (* 1/3 (/ 1 x)))> |
#<alt (+ (* -1 (/ (- (* 1/6 (/ 1 x)) 1/3) x)) (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/6) x)) 1/3) x)) (* 1/3 (+ (log -1) (* -1 (log (/ -1 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 (- 1 (cbrt x))> |
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))> |
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))> |
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))> |
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt 1> |
#<alt (+ 1 (* 1/3 x))> |
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))> |
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))> |
#<alt (cbrt x)> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* (+ 1 (pow (* 1 x) 1/6)) (- 1 (pow (* 1 x) 1/6)))> |
#<alt (+ (* x (+ (* 1/6 (+ 1 (pow (* 1 x) 1/6))) (* 1/6 (- 1 (pow (* 1 x) 1/6))))) (* (+ 1 (pow (* 1 x) 1/6)) (- 1 (pow (* 1 x) 1/6))))> |
#<alt (+ (* x (+ (* 1/6 (+ 1 (pow (* 1 x) 1/6))) (+ (* 1/6 (- 1 (pow (* 1 x) 1/6))) (* x (+ 1/36 (+ (* -5/72 (+ 1 (pow (* 1 x) 1/6))) (* -5/72 (- 1 (pow (* 1 x) 1/6))))))))) (* (+ 1 (pow (* 1 x) 1/6)) (- 1 (pow (* 1 x) 1/6))))> |
#<alt (+ (* x (+ (* 1/6 (+ 1 (pow (* 1 x) 1/6))) (+ (* 1/6 (- 1 (pow (* 1 x) 1/6))) (* x (+ 1/36 (+ (* -5/72 (+ 1 (pow (* 1 x) 1/6))) (+ (* -5/72 (- 1 (pow (* 1 x) 1/6))) (* x (- (+ (* 55/1296 (+ 1 (pow (* 1 x) 1/6))) (* 55/1296 (- 1 (pow (* 1 x) 1/6)))) 5/216))))))))) (* (+ 1 (pow (* 1 x) 1/6)) (- 1 (pow (* 1 x) 1/6))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (/ (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (+ (* 1/36 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt x)))) x)> |
#<alt (/ (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (+ (* -5/216 (cbrt (/ 1 (pow x 5)))) (+ (* 1/36 (cbrt (/ 1 (pow x 2)))) (+ (* 55/648 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt x)))))) x)> |
#<alt (/ (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (+ (* -935/15552 (cbrt (/ 1 (pow x 8)))) (+ (* -5/216 (cbrt (/ 1 (pow x 5)))) (+ (* 25/5184 (cbrt (/ 1 (pow x 8)))) (+ (* 55/3888 (cbrt (/ 1 (pow x 8)))) (+ (* 1/36 (cbrt (/ 1 (pow x 2)))) (+ (* 55/648 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt x))))))))) x)> |
#<alt (* 1/3 (/ (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -5/36 (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)) (* 1/36 (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2))) x)) (* -1/3 (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -55/648 (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)) (* 5/216 (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2))) x)) (+ (* -5/36 (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)) (* 1/36 (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)))) x)) (* -1/3 (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -935/15552 (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)) (+ (* 25/5184 (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)) (* 55/3888 (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)))) x)) (+ (* -55/648 (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)) (* 5/216 (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)))) x)) (+ (* -5/36 (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)) (* 1/36 (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)))) x)) (* -1/3 (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2))) x))> |
#<alt (+ 1 (pow (* 1 x) 1/6))> |
#<alt (+ 1 (+ (* 1/6 x) (pow (* 1 x) 1/6)))> |
#<alt (+ 1 (+ (* x (+ 1/6 (* -5/72 x))) (pow (* 1 x) 1/6)))> |
#<alt (+ 1 (+ (* x (+ 1/6 (* x (- (* 55/1296 x) 5/72)))) (pow (* 1 x) 1/6)))> |
#<alt (* 2 (pow (* 1 x) 1/6))> |
#<alt (+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (* 2 (pow (* 1 x) 1/6)))> |
#<alt (+ (* -5/72 (pow (/ 1 (pow x 11)) 1/6)) (+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (* 2 (pow (* 1 x) 1/6))))> |
#<alt (+ (* -5/72 (pow (/ 1 (pow x 11)) 1/6)) (+ (* 55/1296 (pow (/ 1 (pow x 17)) 1/6)) (+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (* 2 (pow (* 1 x) 1/6)))))> |
#<alt (* 2 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))> |
#<alt (+ (* 1/6 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* 2 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))))> |
#<alt (+ (* -1 (/ (+ (* -1/6 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 5/72 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* 2 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -5/72 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 55/1296 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -1/6 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* 2 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 x))> |
#<alt (+ 1 (* x (+ 1/6 (* -5/72 x))))> |
#<alt (+ 1 (* x (+ 1/6 (* x (- (* 55/1296 x) 5/72)))))> |
#<alt (pow (* 1 x) 1/6)> |
#<alt (+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (pow (* 1 x) 1/6))> |
#<alt (+ (* -5/72 (pow (/ 1 (pow x 11)) 1/6)) (+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (pow (* 1 x) 1/6)))> |
#<alt (+ (* -5/72 (pow (/ 1 (pow x 11)) 1/6)) (+ (* 55/1296 (pow (/ 1 (pow x 17)) 1/6)) (+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (pow (* 1 x) 1/6))))> |
#<alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (+ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/6 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))> |
#<alt (+ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/6 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 5/72 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)))> |
#<alt (+ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -5/72 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 55/1296 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -1/6 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (- 1 (pow (* 1 x) 1/6))> |
#<alt (- (+ 1 (* 1/6 x)) (pow (* 1 x) 1/6))> |
#<alt (- (+ 1 (* x (+ 1/6 (* -5/72 x)))) (pow (* 1 x) 1/6))> |
#<alt (- (+ 1 (* x (+ 1/6 (* x (- (* 55/1296 x) 5/72))))) (pow (* 1 x) 1/6))> |
#<alt (* 1/6 (pow (/ 1 (pow x 5)) 1/6))> |
#<alt (/ (+ (* -5/72 (pow (/ 1 (pow x 5)) 1/6)) (* 1/6 (pow (* 1 x) 1/6))) x)> |
#<alt (/ (+ (* -5/72 (pow (/ 1 (pow x 5)) 1/6)) (+ (* 55/1296 (pow (/ 1 (pow x 11)) 1/6)) (* 1/6 (pow (* 1 x) 1/6)))) x)> |
#<alt (/ (+ (* -5/72 (pow (/ 1 (pow x 5)) 1/6)) (+ (* -935/31104 (pow (/ 1 (pow x 17)) 1/6)) (+ (* 55/1296 (pow (/ 1 (pow x 11)) 1/6)) (* 1/6 (pow (* 1 x) 1/6))))) x)> |
#<alt (* 1/6 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))> |
#<alt (* -1 (/ (+ (* -1/6 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 5/72 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -5/72 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 55/1296 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -1/6 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -55/1296 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 935/31104 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -5/72 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1/6 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))) x))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (* 1/3 (log (+ 1 x))) |
| 2.0ms | x | @ | 0 | (* 1/3 (cbrt (/ 1 (* x x)))) |
| 1.0ms | x | @ | inf | (* 1/3 (cbrt (/ 1 (* x x)))) |
| 1.0ms | x | @ | -inf | (* (+ (pow (+ x 1) 1/6) (pow x 1/6)) (- (pow (+ x 1) 1/6) (pow x 1/6))) |
| 1.0ms | x | @ | inf | (* (+ (pow (+ x 1) 1/6) (pow x 1/6)) (- (pow (+ x 1) 1/6) (pow x 1/6))) |
| 1× | batch-egg-rewrite |
| 3304× | /-lowering-/.f32 |
| 3304× | /-lowering-/.f64 |
| 3256× | *-lowering-*.f32 |
| 3256× | *-lowering-*.f64 |
| 1998× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 94 |
| 1 | 139 | 86 |
| 2 | 1063 | 86 |
| 0 | 8512 | 84 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (cbrt (/ 1 (* x x)))) |
(cbrt (/ 1 (* x x))) |
(/ 1 (* x x)) |
(* x x) |
(- 1 (cbrt x)) |
(cbrt x) |
(- (exp (* 1/3 (log (+ 1 x)))) (cbrt x)) |
(exp (* 1/3 (log (+ 1 x)))) |
(* 1/3 (log (+ 1 x))) |
(log (+ 1 x)) |
(- (cbrt (exp (log (+ 1 x)))) (cbrt x)) |
(cbrt (exp (log (+ 1 x)))) |
(exp (log (+ 1 x))) |
(* (+ (pow (+ x 1) 1/6) (pow x 1/6)) (- (pow (+ x 1) 1/6) (pow x 1/6))) |
(+ (pow (+ x 1) 1/6) (pow x 1/6)) |
(pow (+ x 1) 1/6) |
(+ x 1) |
(- (pow (+ x 1) 1/6) (pow x 1/6)) |
| Outputs |
|---|
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) |
(/.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (cbrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(pow.f64 x #s(literal -2/3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/3 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal -1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) x))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 x #s(literal -2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -6 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 x))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 2/3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal 3 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(/.f64 x (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) x)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) |
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (pow.f64 x #s(literal 4/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) x) |
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (cbrt.f64 x) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(+.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 #s(literal 1 binary64) (cbrt.f64 x))))) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 x))) (/.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cbrt.f64 x))) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(fma.f64 #s(literal -1 binary64) (cbrt.f64 x) #s(literal 1 binary64)) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2/3 binary64))))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (cbrt.f64 x))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 x)))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
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(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2/3 binary64)))))) |
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(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)))) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (+.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (-.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)))) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (+.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))))) |
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (+.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (-.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (+.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))))) |
| 1× | egg-herbie |
| 3996× | *-lowering-*.f32 |
| 3996× | *-lowering-*.f64 |
| 3672× | +-lowering-+.f64 |
| 3672× | +-lowering-+.f32 |
| 1840× | sum5-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 435 | 2882 |
| 1 | 1289 | 2676 |
| 2 | 4492 | 2599 |
| 0 | 8159 | 2589 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(- 1 (cbrt x)) |
(- 1 (cbrt x)) |
(- 1 (cbrt x)) |
(- 1 (cbrt x)) |
(* -1 (cbrt x)) |
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2))))) |
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2))))) |
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2))))) |
(* (cbrt x) (cbrt -1)) |
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x))) |
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x))) |
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x))) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
1 |
(+ 1 (* 1/3 x)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(cbrt x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* 1/3 x) |
(* x (+ 1/3 (* -1/6 x))) |
(* x (+ 1/3 (* x (- (* 1/9 x) 1/6)))) |
(* x (+ 1/3 (* x (- (* x (+ 1/9 (* -1/12 x))) 1/6)))) |
(* -1/3 (log (/ 1 x))) |
(+ (* -1/3 (log (/ 1 x))) (* 1/3 (/ 1 x))) |
(- (+ (* -1/3 (log (/ 1 x))) (* 1/3 (/ 1 x))) (/ 1/6 (pow x 2))) |
(- (+ (* -1/3 (log (/ 1 x))) (+ (* 1/3 (/ 1 x)) (* 1/9 (/ 1 (pow x 3))))) (/ 1/6 (pow x 2))) |
(* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))) |
(+ (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (- (* 1/6 (/ 1 x)) 1/3) x)) (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(+ (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/6) x)) 1/3) x)) (* 1/3 (+ (log -1) (* -1 (log (/ -1 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)))) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
1 |
(+ 1 (* 1/3 x)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(cbrt x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* (+ 1 (pow (* 1 x) 1/6)) (- 1 (pow (* 1 x) 1/6))) |
(+ (* x (+ (* 1/6 (+ 1 (pow (* 1 x) 1/6))) (* 1/6 (- 1 (pow (* 1 x) 1/6))))) (* (+ 1 (pow (* 1 x) 1/6)) (- 1 (pow (* 1 x) 1/6)))) |
(+ (* x (+ (* 1/6 (+ 1 (pow (* 1 x) 1/6))) (+ (* 1/6 (- 1 (pow (* 1 x) 1/6))) (* x (+ 1/36 (+ (* -5/72 (+ 1 (pow (* 1 x) 1/6))) (* -5/72 (- 1 (pow (* 1 x) 1/6))))))))) (* (+ 1 (pow (* 1 x) 1/6)) (- 1 (pow (* 1 x) 1/6)))) |
(+ (* x (+ (* 1/6 (+ 1 (pow (* 1 x) 1/6))) (+ (* 1/6 (- 1 (pow (* 1 x) 1/6))) (* x (+ 1/36 (+ (* -5/72 (+ 1 (pow (* 1 x) 1/6))) (+ (* -5/72 (- 1 (pow (* 1 x) 1/6))) (* x (- (+ (* 55/1296 (+ 1 (pow (* 1 x) 1/6))) (* 55/1296 (- 1 (pow (* 1 x) 1/6)))) 5/216))))))))) (* (+ 1 (pow (* 1 x) 1/6)) (- 1 (pow (* 1 x) 1/6)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (+ (* 1/36 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt x)))) x) |
(/ (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (+ (* -5/216 (cbrt (/ 1 (pow x 5)))) (+ (* 1/36 (cbrt (/ 1 (pow x 2)))) (+ (* 55/648 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt x)))))) x) |
(/ (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (+ (* -935/15552 (cbrt (/ 1 (pow x 8)))) (+ (* -5/216 (cbrt (/ 1 (pow x 5)))) (+ (* 25/5184 (cbrt (/ 1 (pow x 8)))) (+ (* 55/3888 (cbrt (/ 1 (pow x 8)))) (+ (* 1/36 (cbrt (/ 1 (pow x 2)))) (+ (* 55/648 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt x))))))))) x) |
(* 1/3 (/ (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -5/36 (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)) (* 1/36 (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2))) x)) (* -1/3 (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -55/648 (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)) (* 5/216 (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2))) x)) (+ (* -5/36 (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)) (* 1/36 (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)))) x)) (* -1/3 (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -935/15552 (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)) (+ (* 25/5184 (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)) (* 55/3888 (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)))) x)) (+ (* -55/648 (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)) (* 5/216 (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)))) x)) (+ (* -5/36 (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)) (* 1/36 (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)))) x)) (* -1/3 (pow (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) 2))) x)) |
(+ 1 (pow (* 1 x) 1/6)) |
(+ 1 (+ (* 1/6 x) (pow (* 1 x) 1/6))) |
(+ 1 (+ (* x (+ 1/6 (* -5/72 x))) (pow (* 1 x) 1/6))) |
(+ 1 (+ (* x (+ 1/6 (* x (- (* 55/1296 x) 5/72)))) (pow (* 1 x) 1/6))) |
(* 2 (pow (* 1 x) 1/6)) |
(+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (* 2 (pow (* 1 x) 1/6))) |
(+ (* -5/72 (pow (/ 1 (pow x 11)) 1/6)) (+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (* 2 (pow (* 1 x) 1/6)))) |
(+ (* -5/72 (pow (/ 1 (pow x 11)) 1/6)) (+ (* 55/1296 (pow (/ 1 (pow x 17)) 1/6)) (+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (* 2 (pow (* 1 x) 1/6))))) |
(* 2 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(+ (* 1/6 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* 2 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))) |
(+ (* -1 (/ (+ (* -1/6 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 5/72 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* 2 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -5/72 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 55/1296 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -1/6 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* 2 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))) |
1 |
(+ 1 (* 1/6 x)) |
(+ 1 (* x (+ 1/6 (* -5/72 x)))) |
(+ 1 (* x (+ 1/6 (* x (- (* 55/1296 x) 5/72))))) |
(pow (* 1 x) 1/6) |
(+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (pow (* 1 x) 1/6)) |
(+ (* -5/72 (pow (/ 1 (pow x 11)) 1/6)) (+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (pow (* 1 x) 1/6))) |
(+ (* -5/72 (pow (/ 1 (pow x 11)) 1/6)) (+ (* 55/1296 (pow (/ 1 (pow x 17)) 1/6)) (+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (pow (* 1 x) 1/6)))) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(+ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/6 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) |
(+ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/6 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 5/72 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))) |
(+ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -5/72 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 55/1296 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -1/6 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))) x))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(- 1 (pow (* 1 x) 1/6)) |
(- (+ 1 (* 1/6 x)) (pow (* 1 x) 1/6)) |
(- (+ 1 (* x (+ 1/6 (* -5/72 x)))) (pow (* 1 x) 1/6)) |
(- (+ 1 (* x (+ 1/6 (* x (- (* 55/1296 x) 5/72))))) (pow (* 1 x) 1/6)) |
(* 1/6 (pow (/ 1 (pow x 5)) 1/6)) |
(/ (+ (* -5/72 (pow (/ 1 (pow x 5)) 1/6)) (* 1/6 (pow (* 1 x) 1/6))) x) |
(/ (+ (* -5/72 (pow (/ 1 (pow x 5)) 1/6)) (+ (* 55/1296 (pow (/ 1 (pow x 11)) 1/6)) (* 1/6 (pow (* 1 x) 1/6)))) x) |
(/ (+ (* -5/72 (pow (/ 1 (pow x 5)) 1/6)) (+ (* -935/31104 (pow (/ 1 (pow x 17)) 1/6)) (+ (* 55/1296 (pow (/ 1 (pow x 11)) 1/6)) (* 1/6 (pow (* 1 x) 1/6))))) x) |
(* 1/6 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) |
(* -1 (/ (+ (* -1/6 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 5/72 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -5/72 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 55/1296 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -1/6 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -55/1296 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 935/31104 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -5/72 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1/6 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) |
| Outputs |
|---|
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.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) |
(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 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(* -1 (cbrt x)) |
(-.f64 #s(literal 0 binary64) (cbrt.f64 x)) |
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(* (cbrt x) (cbrt -1)) |
(*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))) |
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) x))) |
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) x))) |
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) x))) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(+.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/9 binary64)))) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(+.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64)))))) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64)))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64))) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) (*.f64 x x)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (pow.f64 x #s(literal 10 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -5/81 binary64) (cbrt.f64 (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (pow.f64 x #s(literal 10 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 10/243 binary64) (cbrt.f64 (pow.f64 x #s(literal 13 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))) (/.f64 (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (pow.f64 x #s(literal 16 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/3 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/9 binary64))))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64))))))) |
(cbrt x) |
(cbrt.f64 x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(*.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(*.f64 x (+.f64 (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) |
(*.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))) (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))))))))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (+.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (*.f64 x x)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (-.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (pow.f64 x #s(literal 10 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -5/81 binary64) (cbrt.f64 (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x)) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* x (+ 1/3 (* -1/6 x))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/6 binary64)))) |
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(/.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64)))) (*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64))) (/.f64 #s(literal 5/72 binary64) x))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -5/72 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 55/1296 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -1/6 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) |
(/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal -5/72 binary64) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64)))) (*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64))) (/.f64 #s(literal 55/1296 binary64) x))) x)) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -55/1296 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 935/31104 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -5/72 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1/6 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) |
(/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal -5/72 binary64) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64)))) (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64))) #s(literal -55/1296 binary64)) (*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64))) (/.f64 #s(literal 935/31104 binary64) x))) x)) x)) (-.f64 #s(literal 0 binary64) x)) |
Compiled 44859 to 3494 computations (92.2% saved)
27 alts after pruning (24 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1627 | 22 | 1649 |
| Fresh | 14 | 2 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1644 | 27 | 1671 |
| Status | Accuracy | Program |
|---|---|---|
| 3.8% | (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (pow.f64 x #s(literal 10 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 10/243 binary64) (cbrt.f64 (pow.f64 x #s(literal 13 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))) (/.f64 (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (pow.f64 x #s(literal 16 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) | |
| 8.1% | (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))))) | |
| 23.5% | (/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64)))) (*.f64 x x)) | |
| 23.2% | (/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) | |
| ▶ | 98.2% | (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/9 binary64))) x) |
| 89.1% | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) | |
| 89.1% | (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) | |
| 6.5% | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 x)) | |
| 7.6% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| ✓ | 6.5% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| ✓ | 1.8% | (-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| ▶ | 89.1% | (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
| 50.5% | (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))) | |
| 96.8% | (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) | |
| 96.8% | (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))) | |
| 96.9% | (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (-.f64 #s(literal 0 binary64) x)))) | |
| 54.3% | (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))) | |
| 89.1% | (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))) | |
| 96.8% | (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))) | |
| ▶ | 96.8% | (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
| 89.7% | (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)))) | |
| 55.3% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64)))) | |
| 55.5% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) | |
| 55.5% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) | |
| ✓ | 54.2% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ▶ | 55.5% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))) |
| ▶ | 55.5% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) |
Compiled 676 to 491 computations (27.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
| ✓ | cost-diff | 13056 | (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) |
| ✓ | cost-diff | 13056 | (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))) |
| ✓ | cost-diff | 13056 | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))) |
| ✓ | cost-diff | 0 | (cbrt.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
| ✓ | cost-diff | 256 | (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 128 | (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) |
| ✓ | cost-diff | 0 | (pow.f64 x #s(literal -2/3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (cbrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/9 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/9 binary64))) x) |
| 88× | *-lowering-*.f32 |
| 88× | *-lowering-*.f64 |
| 38× | /-lowering-/.f32 |
| 38× | /-lowering-/.f64 |
| 30× | associate-*r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 8589934723 |
| 1 | 61 | 8589934717 |
| 2 | 93 | 8589934717 |
| 3 | 117 | 8589934717 |
| 4 | 130 | 8589934717 |
| 5 | 136 | 8589934717 |
| 6 | 141 | 8589934717 |
| 0 | 141 | 135 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (+ (* 1/3 (cbrt x)) (* (cbrt (/ 1 (* x x))) -1/9)) x) |
(+ (* 1/3 (cbrt x)) (* (cbrt (/ 1 (* x x))) -1/9)) |
(* 1/3 (cbrt x)) |
1/3 |
(cbrt x) |
x |
(* (cbrt (/ 1 (* x x))) -1/9) |
(cbrt (/ 1 (* x x))) |
(/ 1 (* x x)) |
1 |
(* x x) |
-1/9 |
(* (pow x -2/3) 1/3) |
(pow x -2/3) |
x |
-2/3 |
1/3 |
(* 1/3 (cbrt (* (/ 1 x) (/ 1 x)))) |
1/3 |
(cbrt (* (/ 1 x) (/ 1 x))) |
(* (/ 1 x) (/ 1 x)) |
(/ 1 x) |
1 |
x |
(* 1/3 (* (/ 1 (cbrt x)) (/ 1 (cbrt x)))) |
1/3 |
(* (/ 1 (cbrt x)) (/ 1 (cbrt x))) |
(/ 1 (cbrt x)) |
1 |
(cbrt x) |
x |
(* 1/3 (cbrt (* (/ 1 (sqrt x)) (/ (/ 1 x) (sqrt x))))) |
1/3 |
(cbrt (* (/ 1 (sqrt x)) (/ (/ 1 x) (sqrt x)))) |
(* (/ 1 (sqrt x)) (/ (/ 1 x) (sqrt x))) |
(/ 1 (sqrt x)) |
1 |
(sqrt x) |
x |
(/ (/ 1 x) (sqrt x)) |
(/ 1 x) |
| Outputs |
|---|
(/ (+ (* 1/3 (cbrt x)) (* (cbrt (/ 1 (* x x))) -1/9)) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/9 binary64))) x) |
(+ (* 1/3 (cbrt x)) (* (cbrt (/ 1 (* x x))) -1/9)) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/9 binary64))) |
(* 1/3 (cbrt x)) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) |
1/3 |
#s(literal 1/3 binary64) |
(cbrt x) |
(cbrt.f64 x) |
x |
(* (cbrt (/ 1 (* x x))) -1/9) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/9 binary64)) |
(cbrt (/ 1 (* x x))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ 1 (* x x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(* x x) |
(*.f64 x x) |
-1/9 |
#s(literal -1/9 binary64) |
(* (pow x -2/3) 1/3) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(pow x -2/3) |
(pow.f64 x #s(literal -2/3 binary64)) |
x |
-2/3 |
#s(literal -2/3 binary64) |
1/3 |
#s(literal 1/3 binary64) |
(* 1/3 (cbrt (* (/ 1 x) (/ 1 x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
1/3 |
#s(literal 1/3 binary64) |
(cbrt (* (/ 1 x) (/ 1 x))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(* (/ 1 x) (/ 1 x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(* 1/3 (* (/ 1 (cbrt x)) (/ 1 (cbrt x)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
1/3 |
#s(literal 1/3 binary64) |
(* (/ 1 (cbrt x)) (/ 1 (cbrt x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(/ 1 (cbrt x)) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
1 |
#s(literal 1 binary64) |
(cbrt x) |
(cbrt.f64 x) |
x |
(* 1/3 (cbrt (* (/ 1 (sqrt x)) (/ (/ 1 x) (sqrt x))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
1/3 |
#s(literal 1/3 binary64) |
(cbrt (* (/ 1 (sqrt x)) (/ (/ 1 x) (sqrt x)))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(* (/ 1 (sqrt x)) (/ (/ 1 x) (sqrt x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (sqrt x)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
1 |
#s(literal 1 binary64) |
(sqrt x) |
(sqrt.f64 x) |
x |
(/ (/ 1 x) (sqrt x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))) |
| ✓ | accuracy | 57.3% | (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
| ✓ | accuracy | 99.2% | (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
| ✓ | accuracy | 99.2% | (cbrt.f64 x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 57.3% | (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 99.4% | (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 90.7% | (pow.f64 x #s(literal -2/3 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/9 binary64)) |
| ✓ | accuracy | 99.2% | (cbrt.f64 x) |
| ✓ | accuracy | 98.9% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 57.3% | (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 99.0ms | 256× | 0 | valid |
Compiled 188 to 29 computations (84.6% saved)
ival-mult: 17.0ms (26.1% of total)...c/correct-round.rkt:119:19: 17.0ms (26.1% of total)ival-div: 12.0ms (18.4% of total)ival-pow: 8.0ms (12.3% of total)ival-cbrt: 7.0ms (10.8% of total)ival-sqrt: 2.0ms (3.1% of total)ival-add: 1.0ms (1.5% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (+ (* 1/3 (cbrt x)) (* (cbrt (/ 1 (* x x))) -1/9)) x)> |
#<alt (+ (* 1/3 (cbrt x)) (* (cbrt (/ 1 (* x x))) -1/9))> |
#<alt (* 1/3 (cbrt x))> |
#<alt (cbrt x)> |
#<alt (* (pow x -2/3) 1/3)> |
#<alt (pow x -2/3)> |
#<alt (* 1/3 (cbrt (* (/ 1 x) (/ 1 x))))> |
#<alt (cbrt (* (/ 1 x) (/ 1 x)))> |
#<alt (* (/ 1 x) (/ 1 x))> |
#<alt (/ 1 x)> |
#<alt (* 1/3 (* (/ 1 (cbrt x)) (/ 1 (cbrt x))))> |
#<alt (* (/ 1 (cbrt x)) (/ 1 (cbrt x)))> |
#<alt (/ 1 (cbrt x))> |
#<alt (* 1/3 (cbrt (* (/ 1 (sqrt x)) (/ (/ 1 x) (sqrt x)))))> |
#<alt (cbrt (* (/ 1 (sqrt x)) (/ (/ 1 x) (sqrt x))))> |
#<alt (* (/ 1 (sqrt x)) (/ (/ 1 x) (sqrt x)))> |
#<alt (/ 1 (sqrt x))> |
#<alt (cbrt (/ 1 (* x x)))> |
#<alt (/ 1 (* x x))> |
#<alt (* (cbrt (/ 1 (* x x))) -1/9)> |
#<alt (/ (/ 1 x) (sqrt x))> |
| Outputs |
|---|
#<alt (* -1/9 (cbrt (/ 1 (pow x 5))))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))> |
#<alt (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5)))))> |
#<alt (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5)))))> |
#<alt (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5)))))> |
#<alt (* -1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) x)> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) x)> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) x)> |
#<alt (* 1/3 (cbrt x))> |
#<alt (* x (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* x (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* x (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* -1/3 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* x (+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))> |
#<alt (* -1 (* x (+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))> |
#<alt (* -1 (* x (+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))> |
#<alt (* 1/3 (cbrt x))> |
#<alt (* 1/3 (cbrt x))> |
#<alt (* 1/3 (cbrt x))> |
#<alt (* 1/3 (cbrt x))> |
#<alt (* 1/3 (cbrt x))> |
#<alt (* 1/3 (cbrt x))> |
#<alt (* 1/3 (cbrt x))> |
#<alt (* 1/3 (cbrt x))> |
#<alt (* -1/3 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1/3 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1/3 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1/3 (* (cbrt x) (cbrt -1)))> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (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 (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))> |
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))> |
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))> |
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1)))> |
#<alt (* 1/3 (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1)))> |
#<alt (* 1/3 (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1)))> |
#<alt (* 1/3 (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))> |
#<alt (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))> |
#<alt (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))> |
#<alt (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))> |
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))> |
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))> |
#<alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2)))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (* -1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* -1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* -1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* -1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* -1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* -1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* -1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* -1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* -1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* -1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* -1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* -1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (* 1/3 (* (/ 1 (cbrt x)) (/ 1 (cbrt x)))) |
| 3.0ms | x | @ | inf | (pow x -2/3) |
| 3.0ms | x | @ | -inf | (* 1/3 (cbrt (* (/ 1 (sqrt x)) (/ (/ 1 x) (sqrt x))))) |
| 1.0ms | x | @ | 0 | (pow x -2/3) |
| 1.0ms | x | @ | -inf | (pow x -2/3) |
| 1× | batch-egg-rewrite |
| 3730× | *-lowering-*.f32 |
| 3730× | *-lowering-*.f64 |
| 2218× | /-lowering-/.f32 |
| 2218× | /-lowering-/.f64 |
| 2178× | fma-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 114 |
| 1 | 140 | 97 |
| 2 | 830 | 97 |
| 3 | 6989 | 97 |
| 0 | 8951 | 85 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* 1/3 (cbrt x)) (* (cbrt (/ 1 (* x x))) -1/9)) x) |
(+ (* 1/3 (cbrt x)) (* (cbrt (/ 1 (* x x))) -1/9)) |
(* 1/3 (cbrt x)) |
(cbrt x) |
(* (pow x -2/3) 1/3) |
(pow x -2/3) |
(* 1/3 (cbrt (* (/ 1 x) (/ 1 x)))) |
(cbrt (* (/ 1 x) (/ 1 x))) |
(* (/ 1 x) (/ 1 x)) |
(/ 1 x) |
(* 1/3 (* (/ 1 (cbrt x)) (/ 1 (cbrt x)))) |
(* (/ 1 (cbrt x)) (/ 1 (cbrt x))) |
(/ 1 (cbrt x)) |
(* 1/3 (cbrt (* (/ 1 (sqrt x)) (/ (/ 1 x) (sqrt x))))) |
(cbrt (* (/ 1 (sqrt x)) (/ (/ 1 x) (sqrt x)))) |
(* (/ 1 (sqrt x)) (/ (/ 1 x) (sqrt x))) |
(/ 1 (sqrt x)) |
(cbrt (/ 1 (* x x))) |
(/ 1 (* x x)) |
(* (cbrt (/ 1 (* x x))) -1/9) |
(/ (/ 1 x) (sqrt x)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 (*.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))) x)) |
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/9 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))) x) (/.f64 (/.f64 (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -4/3 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))) x)) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/9 binary64)) (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))))) (/.f64 (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -4/3 binary64))) (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))))) |
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))) x)) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))) x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -4/3 binary64)))) (/.f64 (*.f64 (cbrt.f64 x) #s(literal -1/27 binary64)) (pow.f64 x #s(literal 2/3 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/729 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -4/3 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -4/3 binary64)))) (/.f64 (*.f64 (cbrt.f64 x) #s(literal -1/27 binary64)) (pow.f64 x #s(literal 2/3 binary64)))) (/.f64 (+.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/729 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -4/3 binary64)))) x))) |
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) x) |
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) x) #s(literal 1 binary64)) |
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(/.f64 #s(literal -1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))))) |
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(*.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/9 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) |
(*.f64 (/.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal -1/3 binary64))) |
(*.f64 (*.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -1/6 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal -1/6 binary64))) (pow.f64 x #s(literal -1/6 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))) |
(exp.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal 1/2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) x)))) |
(exp.f64 (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -3/2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -3/2 binary64)))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -3/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) |
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) |
(/.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3/2 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) x) |
(pow.f64 x #s(literal -3/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -3/4 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -3/2 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -3/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) x)) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -3/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/4 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/4 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64))) |
| 1× | egg-herbie |
| 2364× | fma-define |
| 1986× | fma-lowering-fma.f32 |
| 1986× | fma-lowering-fma.f64 |
| 1714× | fnmadd-define |
| 1530× | *-lowering-*.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 1553 |
| 1 | 134 | 1513 |
| 2 | 320 | 1513 |
| 3 | 738 | 1510 |
| 4 | 1580 | 1510 |
| 5 | 2525 | 1510 |
| 6 | 4131 | 1510 |
| 0 | 8035 | 1510 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/9 (cbrt (/ 1 (pow x 5)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5))))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5))))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5))))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) x) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) x) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) x) |
(* 1/3 (cbrt x)) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* -1/3 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* -1 (* x (+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* -1 (* x (+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* 1/3 (cbrt x)) |
(* 1/3 (cbrt x)) |
(* 1/3 (cbrt x)) |
(* 1/3 (cbrt x)) |
(* 1/3 (cbrt x)) |
(* 1/3 (cbrt x)) |
(* 1/3 (cbrt x)) |
(* 1/3 (cbrt x)) |
(* -1/3 (* (cbrt x) (cbrt -1))) |
(* -1/3 (* (cbrt x) (cbrt -1))) |
(* -1/3 (* (cbrt x) (cbrt -1))) |
(* -1/3 (* (cbrt x) (cbrt -1))) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (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) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))) |
(* 1/3 (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))) |
(* 1/3 (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))) |
(* 1/3 (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1)) |
(* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1)) |
(* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1)) |
(* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ -1 (* (pow x 2) (pow (sqrt -1) 2))) |
(/ -1 (* (pow x 2) (pow (sqrt -1) 2))) |
(/ -1 (* (pow x 2) (pow (sqrt -1) 2))) |
(/ -1 (* (pow x 2) (pow (sqrt -1) 2))) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
| Outputs |
|---|
(* -1/9 (cbrt (/ 1 (pow x 5)))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) |
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
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(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(* 1/3 (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(* 1/3 (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(* 1/3 (* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(* (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ -1 (* (pow x 2) (pow (sqrt -1) 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ -1 (* (pow x 2) (pow (sqrt -1) 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ -1 (* (pow x 2) (pow (sqrt -1) 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ -1 (* (pow x 2) (pow (sqrt -1) 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) |
Compiled 26844 to 3082 computations (88.5% saved)
32 alts after pruning (26 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1704 | 15 | 1719 |
| Fresh | 8 | 11 | 19 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1714 | 32 | 1746 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.2% | (/.f64 (fma.f64 (cbrt.f64 x) #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) x) |
| 24.2% | (/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) x) x) | |
| ▶ | 96.7% | (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
| 3.8% | (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (pow.f64 x #s(literal 10 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 10/243 binary64) (cbrt.f64 (pow.f64 x #s(literal 13 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))) (/.f64 (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (pow.f64 x #s(literal 16 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) | |
| 8.1% | (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))))) | |
| 23.5% | (/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64)))) (*.f64 x x)) | |
| 98.2% | (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) x) | |
| 97.4% | (/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x) | |
| 97.2% | (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (cbrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))) | |
| 54.3% | (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) | |
| 96.8% | (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))) | |
| ▶ | 89.1% | (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
| ▶ | 98.3% | (/.f64 #s(literal -1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))))) |
| ▶ | 6.5% | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 x)) |
| 7.6% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| ✓ | 6.5% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| ✓ | 1.8% | (-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| 96.8% | (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) | |
| ✓ | 89.1% | (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
| 97.3% | (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))) #s(literal 1/3 binary64)) | |
| 98.2% | (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)))) | |
| 89.7% | (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)) | |
| 96.8% | (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))) | |
| 96.9% | (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (-.f64 #s(literal 0 binary64) x)))) | |
| ✓ | 96.8% | (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
| 96.8% | (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| 55.4% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))) | |
| 55.3% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64)))) | |
| 55.5% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) | |
| 55.5% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) | |
| ✓ | 54.2% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ✓ | 55.5% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) |
Compiled 767 to 568 computations (25.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
| ✓ | cost-diff | 0 | (cbrt.f64 x) |
| ✓ | cost-diff | 6272 | (fma.f64 (cbrt.f64 x) #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
| ✓ | cost-diff | 6272 | (/.f64 (fma.f64 (cbrt.f64 x) #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 x)) |
| ✓ | cost-diff | 0 | (cbrt.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
| ✓ | cost-diff | 0 | (pow.f64 x #s(literal 2/3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 x (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal -1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))))) |
| 1902× | fnmadd-define |
| 1528× | fmsub-define |
| 1436× | fnmsub-define |
| 1310× | fma-define |
| 1152× | fmm-def |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 47244640311 |
| 1 | 43 | 47244640311 |
| 2 | 60 | 47244640311 |
| 3 | 102 | 47244640311 |
| 4 | 148 | 47244640311 |
| 5 | 233 | 47244640311 |
| 6 | 390 | 47244640311 |
| 7 | 671 | 47244640311 |
| 8 | 1185 | 47244640311 |
| 9 | 2035 | 47244640311 |
| 10 | 3978 | 47244640311 |
| 11 | 5091 | 47244640311 |
| 12 | 6119 | 47244640311 |
| 13 | 6865 | 47244640311 |
| 14 | 7265 | 47244640311 |
| 15 | 7377 | 47244640311 |
| 16 | 7466 | 47244640311 |
| 17 | 7542 | 47244640311 |
| 18 | 7586 | 47244640311 |
| 19 | 7594 | 47244640311 |
| 0 | 7594 | 141 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ -1 (/ x (+ (/ 1/9 (pow x 2/3)) (* (cbrt x) -1/3)))) |
-1 |
(/ x (+ (/ 1/9 (pow x 2/3)) (* (cbrt x) -1/3))) |
x |
(+ (/ 1/9 (pow x 2/3)) (* (cbrt x) -1/3)) |
(/ 1/9 (pow x 2/3)) |
1/9 |
(pow x 2/3) |
2/3 |
(* (cbrt x) -1/3) |
(cbrt x) |
-1/3 |
(/ 1/3 (pow x 2/3)) |
1/3 |
(pow x 2/3) |
x |
2/3 |
(/ (/ 1/3 (cbrt x)) (cbrt x)) |
(/ 1/3 (cbrt x)) |
1/3 |
(cbrt x) |
x |
(- (/ 1 (cbrt (/ 1 (+ 1 x)))) (cbrt x)) |
(/ 1 (cbrt (/ 1 (+ 1 x)))) |
1 |
(cbrt (/ 1 (+ 1 x))) |
(/ 1 (+ 1 x)) |
(+ 1 x) |
x |
(cbrt x) |
(/ (+ (* (cbrt x) 1/3) (/ -1/9 (pow x 2/3))) x) |
(+ (* (cbrt x) 1/3) (/ -1/9 (pow x 2/3))) |
(cbrt x) |
x |
1/3 |
(/ -1/9 (pow x 2/3)) |
-1/9 |
(pow x 2/3) |
2/3 |
| Outputs |
|---|
(/ -1 (/ x (+ (/ 1/9 (pow x 2/3)) (* (cbrt x) -1/3)))) |
(+.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 5/3 binary64))) (/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x)) |
-1 |
#s(literal -1 binary64) |
(/ x (+ (/ 1/9 (pow x 2/3)) (* (cbrt x) -1/3))) |
(/.f64 x (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)))) |
x |
(+ (/ 1/9 (pow x 2/3)) (* (cbrt x) -1/3)) |
(+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))) |
(/ 1/9 (pow x 2/3)) |
(/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
1/9 |
#s(literal 1/9 binary64) |
(pow x 2/3) |
(pow.f64 x #s(literal 2/3 binary64)) |
2/3 |
#s(literal 2/3 binary64) |
(* (cbrt x) -1/3) |
(*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)) |
(cbrt x) |
(cbrt.f64 x) |
-1/3 |
#s(literal -1/3 binary64) |
(/ 1/3 (pow x 2/3)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
1/3 |
#s(literal 1/3 binary64) |
(pow x 2/3) |
(pow.f64 x #s(literal 2/3 binary64)) |
x |
2/3 |
#s(literal 2/3 binary64) |
(/ (/ 1/3 (cbrt x)) (cbrt x)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) |
(/ 1/3 (cbrt x)) |
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) |
1/3 |
#s(literal 1/3 binary64) |
(cbrt x) |
(cbrt.f64 x) |
x |
(- (/ 1 (cbrt (/ 1 (+ 1 x)))) (cbrt x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))) (cbrt.f64 x)) |
(/ 1 (cbrt (/ 1 (+ 1 x)))) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))) |
1 |
#s(literal 1 binary64) |
(cbrt (/ 1 (+ 1 x))) |
(cbrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(/ 1 (+ 1 x)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
x |
(cbrt x) |
(cbrt.f64 x) |
(/ (+ (* (cbrt x) 1/3) (/ -1/9 (pow x 2/3))) x) |
(+.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 5/3 binary64))) (/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x)) |
(+ (* (cbrt x) 1/3) (/ -1/9 (pow x 2/3))) |
(+.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64))) |
(cbrt x) |
(cbrt.f64 x) |
x |
1/3 |
#s(literal 1/3 binary64) |
(/ -1/9 (pow x 2/3)) |
(/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
-1/9 |
#s(literal -1/9 binary64) |
(pow x 2/3) |
(pow.f64 x #s(literal 2/3 binary64)) |
2/3 |
#s(literal 2/3 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
| ✓ | accuracy | 99.4% | (fma.f64 (cbrt.f64 x) #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
| ✓ | accuracy | 99.2% | (cbrt.f64 x) |
| ✓ | accuracy | 90.6% | (pow.f64 x #s(literal 2/3 binary64)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 99.2% | (cbrt.f64 x) |
| ✓ | accuracy | 99.0% | (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 6.6% | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 x)) |
| ✓ | accuracy | 99.4% | (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) |
| ✓ | accuracy | 99.2% | (cbrt.f64 x) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
| ✓ | accuracy | 90.6% | (pow.f64 x #s(literal 2/3 binary64)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
| ✓ | accuracy | 99.4% | (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)) |
| ✓ | accuracy | 99.2% | (cbrt.f64 x) |
| ✓ | accuracy | 90.6% | (pow.f64 x #s(literal 2/3 binary64)) |
| 157.0ms | 160× | 1 | valid |
| 109.0ms | 91× | 2 | valid |
| 2.0ms | 5× | 0 | valid |
Compiled 154 to 27 computations (82.5% saved)
...c/correct-round.rkt:119:19: 58.0ms (30.9% of total)ival-div: 44.0ms (23.4% of total)backward-pass: 23.0ms (12.2% of total)ival-pow: 17.0ms (9% of total)ival-add: 12.0ms (6.4% of total)ival-cbrt: 11.0ms (5.9% of total)compiled-spec: 11.0ms (5.9% of total)ival-mult: 9.0ms (4.8% of total)ival-sub: 3.0ms (1.6% of total)const: 1.0ms (0.5% of total)| Inputs |
|---|
#<alt (/ -1 (/ x (+ (/ 1/9 (pow x 2/3)) (* (cbrt x) -1/3))))> |
#<alt (/ x (+ (/ 1/9 (pow x 2/3)) (* (cbrt x) -1/3)))> |
#<alt (+ (/ 1/9 (pow x 2/3)) (* (cbrt x) -1/3))> |
#<alt (/ 1/9 (pow x 2/3))> |
#<alt (/ 1/3 (pow x 2/3))> |
#<alt (pow x 2/3)> |
#<alt (/ (/ 1/3 (cbrt x)) (cbrt x))> |
#<alt (/ 1/3 (cbrt x))> |
#<alt (cbrt x)> |
#<alt (- (/ 1 (cbrt (/ 1 (+ 1 x)))) (cbrt x))> |
#<alt (/ 1 (cbrt (/ 1 (+ 1 x))))> |
#<alt (cbrt (/ 1 (+ 1 x)))> |
#<alt (/ 1 (+ 1 x))> |
#<alt (/ (+ (* (cbrt x) 1/3) (/ -1/9 (pow x 2/3))) x)> |
#<alt (+ (* (cbrt x) 1/3) (/ -1/9 (pow x 2/3)))> |
#<alt (/ -1/9 (pow x 2/3))> |
#<alt (* (cbrt x) -1/3)> |
| Outputs |
|---|
#<alt (* -1/9 (cbrt (/ 1 (pow x 5))))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))> |
#<alt (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5)))))> |
#<alt (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5)))))> |
#<alt (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5)))))> |
#<alt (* 9 (cbrt (pow x 5)))> |
#<alt (* (pow x 2) (+ (* 9 (cbrt (/ 1 x))) (* 27 (cbrt (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* 9 (cbrt (/ 1 x))) (* x (- (* 81 (cbrt (pow x 2))) (* -27 (cbrt (/ 1 x)))))))> |
#<alt (* (pow x 2) (+ (* 9 (cbrt (/ 1 x))) (* x (- (* x (- (* 243 (cbrt (pow x 2))) (* -81 (cbrt (/ 1 x))))) (* -27 (cbrt (/ 1 x)))))))> |
#<alt (* -3 (cbrt (pow x 2)))> |
#<alt (+ (* -3 (cbrt (pow x 2))) (* -1 (cbrt (/ 1 x))))> |
#<alt (- (+ (* -3 (cbrt (pow x 2))) (* -1/3 (cbrt (/ 1 (pow x 4))))) (cbrt (/ 1 x)))> |
#<alt (- (+ (* -3 (cbrt (pow x 2))) (* -1/9 (cbrt (/ 1 (pow x 7))))) (+ (cbrt (/ 1 x)) (* 1/3 (cbrt (/ 1 (pow x 4))))))> |
#<alt (* 3 (* (cbrt (pow x 2)) (/ 1 (cbrt -1))))> |
#<alt (+ (* -1 (* (cbrt (/ 1 x)) (/ 1 (pow (cbrt -1) 2)))) (* 3 (* (cbrt (pow x 2)) (/ 1 (cbrt -1)))))> |
#<alt (+ (* -1 (/ (- (* -1/3 (* (cbrt (/ 1 x)) (/ 1 (pow (cbrt -1) 3)))) (* -1 (* (cbrt (pow x 2)) (/ 1 (pow (cbrt -1) 2))))) x)) (* 3 (* (cbrt (pow x 2)) (/ 1 (cbrt -1)))))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* -1/9 (* (cbrt (/ 1 x)) (/ 1 (pow (cbrt -1) 4)))) (* -1/3 (* (cbrt (pow x 2)) (/ 1 (pow (cbrt -1) 3))))) x)) (* -1 (* (cbrt (pow x 2)) (/ 1 (pow (cbrt -1) 2))))) x)) (* 3 (* (cbrt (pow x 2)) (/ 1 (cbrt -1)))))> |
#<alt (* 1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (/ (+ (* -1/3 (cbrt (pow x 4))) (* 1/9 (cbrt x))) x)> |
#<alt (/ (+ (* -1/3 (cbrt (pow x 4))) (* 1/9 (cbrt x))) x)> |
#<alt (/ (+ (* -1/3 (cbrt (pow x 4))) (* 1/9 (cbrt x))) x)> |
#<alt (* -1/3 (cbrt x))> |
#<alt (* x (+ (* -1/3 (cbrt (/ 1 (pow x 2)))) (* 1/9 (cbrt (/ 1 (pow x 5))))))> |
#<alt (* x (+ (* -1/3 (cbrt (/ 1 (pow x 2)))) (* 1/9 (cbrt (/ 1 (pow x 5))))))> |
#<alt (* x (+ (* -1/3 (cbrt (/ 1 (pow x 2)))) (* 1/9 (cbrt (/ 1 (pow x 5))))))> |
#<alt (* 1/3 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5)))))))> |
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5)))))))> |
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5)))))))> |
#<alt (* 1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (cbrt (pow x 2))> |
#<alt (cbrt (pow x 2))> |
#<alt (cbrt (pow x 2))> |
#<alt (cbrt (pow x 2))> |
#<alt (cbrt (pow x 2))> |
#<alt (cbrt (pow x 2))> |
#<alt (cbrt (pow x 2))> |
#<alt (cbrt (pow x 2))> |
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))> |
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))> |
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))> |
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))> |
#<alt (* 1/3 (cbrt (/ 1 x)))> |
#<alt (* 1/3 (cbrt (/ 1 x)))> |
#<alt (* 1/3 (cbrt (/ 1 x)))> |
#<alt (* 1/3 (cbrt (/ 1 x)))> |
#<alt (* 1/3 (cbrt (/ 1 x)))> |
#<alt (* 1/3 (cbrt (/ 1 x)))> |
#<alt (* 1/3 (cbrt (/ 1 x)))> |
#<alt (* 1/3 (cbrt (/ 1 x)))> |
#<alt (* 1/3 (cbrt (/ 1 x)))> |
#<alt (* 1/3 (cbrt (/ 1 x)))> |
#<alt (* 1/3 (cbrt (/ 1 x)))> |
#<alt (* 1/3 (cbrt (/ 1 x)))> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (- 1 (cbrt x))> |
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))> |
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))> |
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))> |
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt 1> |
#<alt (+ 1 (* 1/3 x))> |
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))> |
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))> |
#<alt (cbrt x)> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/3 x))> |
#<alt (+ 1 (* x (- (* 2/9 x) 1/3)))> |
#<alt (+ 1 (* x (- (* x (+ 2/9 (* -14/81 x))) 1/3)))> |
#<alt (cbrt (- (/ 1 x) (/ 1 (pow x 2))))> |
#<alt (+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))))> |
#<alt (+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (+ (* -1/3 (* (/ 1 (pow x 4)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))))> |
#<alt (+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (+ (* -1/3 (* (/ 1 (pow x 4)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (+ (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (pow x 5)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))))))> |
#<alt (cbrt (- (/ 1 x) (/ 1 (pow x 2))))> |
#<alt (+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))))> |
#<alt (+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* -1/3 (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))) (* 1/3 (* (/ 1 x) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))) (pow x 3))))> |
#<alt (+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))) (* 1/3 (* (/ 1 x) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))) x)) (* -1/3 (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (pow x 3))))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- x 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))> |
#<alt (/ 1 x)> |
#<alt (/ (- 1 (/ 1 x)) x)> |
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)> |
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (/ 1 x) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))> |
#<alt (* -1/9 (cbrt (/ 1 (pow x 5))))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))> |
#<alt (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5)))))> |
#<alt (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5)))))> |
#<alt (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5)))))> |
#<alt (* -1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) x)> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) x)> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) x)> |
#<alt (* 1/3 (cbrt x))> |
#<alt (* x (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* x (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* x (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* -1/3 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* x (+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))> |
#<alt (* -1 (* x (+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))> |
#<alt (* -1 (* x (+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))> |
#<alt (* -1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* -1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* -1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* -1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* -1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* -1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* -1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* -1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* -1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* -1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* -1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* -1/9 (cbrt (/ 1 (pow x 2))))> |
#<alt (* -1/3 (cbrt x))> |
#<alt (* -1/3 (cbrt x))> |
#<alt (* -1/3 (cbrt x))> |
#<alt (* -1/3 (cbrt x))> |
#<alt (* -1/3 (cbrt x))> |
#<alt (* -1/3 (cbrt x))> |
#<alt (* -1/3 (cbrt x))> |
#<alt (* -1/3 (cbrt x))> |
#<alt (* 1/3 (* (cbrt x) (cbrt -1)))> |
#<alt (* 1/3 (* (cbrt x) (cbrt -1)))> |
#<alt (* 1/3 (* (cbrt x) (cbrt -1)))> |
#<alt (* 1/3 (* (cbrt x) (cbrt -1)))> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (pow x 2/3) |
| 1.0ms | x | @ | -inf | (pow x 2/3) |
| 1.0ms | x | @ | 0 | (pow x 2/3) |
| 1.0ms | x | @ | inf | (cbrt (/ 1 (+ 1 x))) |
| 1.0ms | x | @ | 0 | (/ -1 (/ x (+ (/ 1/9 (pow x 2/3)) (* (cbrt x) -1/3)))) |
| 1× | batch-egg-rewrite |
| 3960× | /-lowering-/.f32 |
| 3960× | /-lowering-/.f64 |
| 3164× | *-lowering-*.f32 |
| 3164× | *-lowering-*.f64 |
| 1994× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 133 |
| 1 | 162 | 115 |
| 2 | 1298 | 114 |
| 0 | 8523 | 104 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -1 (/ x (+ (/ 1/9 (pow x 2/3)) (* (cbrt x) -1/3)))) |
(/ x (+ (/ 1/9 (pow x 2/3)) (* (cbrt x) -1/3))) |
(+ (/ 1/9 (pow x 2/3)) (* (cbrt x) -1/3)) |
(/ 1/9 (pow x 2/3)) |
(/ 1/3 (pow x 2/3)) |
(pow x 2/3) |
(/ (/ 1/3 (cbrt x)) (cbrt x)) |
(/ 1/3 (cbrt x)) |
(cbrt x) |
(- (/ 1 (cbrt (/ 1 (+ 1 x)))) (cbrt x)) |
(/ 1 (cbrt (/ 1 (+ 1 x)))) |
(cbrt (/ 1 (+ 1 x))) |
(/ 1 (+ 1 x)) |
(/ (+ (* (cbrt x) 1/3) (/ -1/9 (pow x 2/3))) x) |
(+ (* (cbrt x) 1/3) (/ -1/9 (pow x 2/3))) |
(/ -1/9 (pow x 2/3)) |
(* (cbrt x) -1/3) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 (*.f64 (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (/.f64 #s(literal -1 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))) x)) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(fma.f64 (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (/.f64 #s(literal -1 binary64) x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)))) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64))) (+.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)))))) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1/729 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/27 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)))) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64))) (+.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))))) (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -1/729 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/27 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))))) |
(/.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (neg.f64 (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)))) x) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1/729 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/27 binary64)))) (*.f64 x (+.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64))) (+.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))) (*.f64 x (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (neg.f64 (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -1/729 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/27 binary64)))) (+.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64))) (+.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)))))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)))) |
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1/729 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/27 binary64))))) (neg.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64))) (+.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))))) (neg.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal -1/729 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/27 binary64))))) (neg.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64))) (+.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))))) (neg.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (/.f64 #s(literal -1 binary64) x))) (-.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) x))) (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) x)))))) |
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(fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64))) |
(fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64))) (-.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1/27 binary64)))) (+.f64 (/.f64 #s(literal -1/729 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/27 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64))) (-.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))))) |
(/.f64 (+.f64 (/.f64 #s(literal -1/729 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/27 binary64))) (+.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1/27 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
(/.f64 (+.f64 (/.f64 #s(literal -1/729 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/27 binary64))) (+.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64))) (-.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1/27 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64)))) (+.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
(/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) (-.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)))) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/729 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/27 binary64)))) (neg.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1/27 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/729 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/27 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64))) (-.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1/27 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64))))) (neg.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))) (neg.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))) (*.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64))))) (*.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) (+.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/729 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/27 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1/27 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64))) (+.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))) (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))))) (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64))) (+.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))) (/.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64))) (+.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))) (/.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64))) (+.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (/.f64 #s(literal -1/729 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1/27 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1/9 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1/9 binary64)))) |
(/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1/9 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1/9 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) |
(/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
(/.f64 (/.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 (neg.f64 (/.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(pow.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1/9 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(*.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1/9 binary64)) |
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) #s(literal -1 binary64))) |
(*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (cbrt.f64 x)) |
| 1× | egg-herbie |
| 3340× | *-lowering-*.f32 |
| 3340× | *-lowering-*.f64 |
| 2516× | fma-lowering-fma.f32 |
| 2516× | fma-lowering-fma.f64 |
| 1744× | /-lowering-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 316 | 2346 |
| 1 | 912 | 2206 |
| 2 | 2643 | 2173 |
| 3 | 6754 | 2172 |
| 0 | 8186 | 2172 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/9 (cbrt (/ 1 (pow x 5)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5))))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5))))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5))))) |
(* 9 (cbrt (pow x 5))) |
(* (pow x 2) (+ (* 9 (cbrt (/ 1 x))) (* 27 (cbrt (pow x 2))))) |
(* (pow x 2) (+ (* 9 (cbrt (/ 1 x))) (* x (- (* 81 (cbrt (pow x 2))) (* -27 (cbrt (/ 1 x))))))) |
(* (pow x 2) (+ (* 9 (cbrt (/ 1 x))) (* x (- (* x (- (* 243 (cbrt (pow x 2))) (* -81 (cbrt (/ 1 x))))) (* -27 (cbrt (/ 1 x))))))) |
(* -3 (cbrt (pow x 2))) |
(+ (* -3 (cbrt (pow x 2))) (* -1 (cbrt (/ 1 x)))) |
(- (+ (* -3 (cbrt (pow x 2))) (* -1/3 (cbrt (/ 1 (pow x 4))))) (cbrt (/ 1 x))) |
(- (+ (* -3 (cbrt (pow x 2))) (* -1/9 (cbrt (/ 1 (pow x 7))))) (+ (cbrt (/ 1 x)) (* 1/3 (cbrt (/ 1 (pow x 4)))))) |
(* 3 (* (cbrt (pow x 2)) (/ 1 (cbrt -1)))) |
(+ (* -1 (* (cbrt (/ 1 x)) (/ 1 (pow (cbrt -1) 2)))) (* 3 (* (cbrt (pow x 2)) (/ 1 (cbrt -1))))) |
(+ (* -1 (/ (- (* -1/3 (* (cbrt (/ 1 x)) (/ 1 (pow (cbrt -1) 3)))) (* -1 (* (cbrt (pow x 2)) (/ 1 (pow (cbrt -1) 2))))) x)) (* 3 (* (cbrt (pow x 2)) (/ 1 (cbrt -1))))) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1/9 (* (cbrt (/ 1 x)) (/ 1 (pow (cbrt -1) 4)))) (* -1/3 (* (cbrt (pow x 2)) (/ 1 (pow (cbrt -1) 3))))) x)) (* -1 (* (cbrt (pow x 2)) (/ 1 (pow (cbrt -1) 2))))) x)) (* 3 (* (cbrt (pow x 2)) (/ 1 (cbrt -1))))) |
(* 1/9 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/3 (cbrt (pow x 4))) (* 1/9 (cbrt x))) x) |
(/ (+ (* -1/3 (cbrt (pow x 4))) (* 1/9 (cbrt x))) x) |
(/ (+ (* -1/3 (cbrt (pow x 4))) (* 1/9 (cbrt x))) x) |
(* -1/3 (cbrt x)) |
(* x (+ (* -1/3 (cbrt (/ 1 (pow x 2)))) (* 1/9 (cbrt (/ 1 (pow x 5)))))) |
(* x (+ (* -1/3 (cbrt (/ 1 (pow x 2)))) (* 1/9 (cbrt (/ 1 (pow x 5)))))) |
(* x (+ (* -1/3 (cbrt (/ 1 (pow x 2)))) (* 1/9 (cbrt (/ 1 (pow x 5)))))) |
(* 1/3 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5))))))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5))))))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5))))))) |
(* 1/9 (cbrt (/ 1 (pow x 2)))) |
(* 1/9 (cbrt (/ 1 (pow x 2)))) |
(* 1/9 (cbrt (/ 1 (pow x 2)))) |
(* 1/9 (cbrt (/ 1 (pow x 2)))) |
(* 1/9 (cbrt (/ 1 (pow x 2)))) |
(* 1/9 (cbrt (/ 1 (pow x 2)))) |
(* 1/9 (cbrt (/ 1 (pow x 2)))) |
(* 1/9 (cbrt (/ 1 (pow x 2)))) |
(* 1/9 (cbrt (/ 1 (pow x 2)))) |
(* 1/9 (cbrt (/ 1 (pow x 2)))) |
(* 1/9 (cbrt (/ 1 (pow x 2)))) |
(* 1/9 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(* -1 (* (cbrt (pow x 2)) (cbrt -1))) |
(* -1 (* (cbrt (pow x 2)) (cbrt -1))) |
(* -1 (* (cbrt (pow x 2)) (cbrt -1))) |
(* -1 (* (cbrt (pow x 2)) (cbrt -1))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
1 |
(+ 1 (* 1/3 x)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(cbrt x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
1 |
(+ 1 (* -1/3 x)) |
(+ 1 (* x (- (* 2/9 x) 1/3))) |
(+ 1 (* x (- (* x (+ 2/9 (* -14/81 x))) 1/3))) |
(cbrt (- (/ 1 x) (/ 1 (pow x 2)))) |
(+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))) |
(+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (+ (* -1/3 (* (/ 1 (pow x 4)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))))) |
(+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (+ (* -1/3 (* (/ 1 (pow x 4)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (+ (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (pow x 5)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))))) |
(cbrt (- (/ 1 x) (/ 1 (pow x 2)))) |
(+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))) |
(+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* -1/3 (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))) (* 1/3 (* (/ 1 x) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))) (pow x 3)))) |
(+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))) (* 1/3 (* (/ 1 x) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))) x)) (* -1/3 (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (pow x 3)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(/ 1 x) |
(/ (- 1 (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(/ 1 x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(* -1/9 (cbrt (/ 1 (pow x 5)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5))))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5))))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5))))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) x) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) x) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) x) |
(* 1/3 (cbrt x)) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* -1/3 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* -1 (* x (+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* -1 (* x (+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(* -1/3 (cbrt x)) |
(* -1/3 (cbrt x)) |
(* -1/3 (cbrt x)) |
(* -1/3 (cbrt x)) |
(* -1/3 (cbrt x)) |
(* -1/3 (cbrt x)) |
(* -1/3 (cbrt x)) |
(* -1/3 (cbrt x)) |
(* 1/3 (* (cbrt x) (cbrt -1))) |
(* 1/3 (* (cbrt x) (cbrt -1))) |
(* 1/3 (* (cbrt x) (cbrt -1))) |
(* 1/3 (* (cbrt x) (cbrt -1))) |
| Outputs |
|---|
(* -1/9 (cbrt (/ 1 (pow x 5)))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5))))) |
(+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -1/3 binary64) (cbrt.f64 #s(literal -1 binary64))))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5))))) |
(+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -1/3 binary64) (cbrt.f64 #s(literal -1 binary64))))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5))))) |
(+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -1/3 binary64) (cbrt.f64 #s(literal -1 binary64))))) |
(* 9 (cbrt (pow x 5))) |
(*.f64 #s(literal 9 binary64) (cbrt.f64 (pow.f64 x #s(literal 5 binary64)))) |
(* (pow x 2) (+ (* 9 (cbrt (/ 1 x))) (* 27 (cbrt (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 27 binary64) (cbrt.f64 (*.f64 x x))))) |
(* (pow x 2) (+ (* 9 (cbrt (/ 1 x))) (* x (- (* 81 (cbrt (pow x 2))) (* -27 (cbrt (/ 1 x))))))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 x (+.f64 (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal 81 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 27 binary64)))))) |
(* (pow x 2) (+ (* 9 (cbrt (/ 1 x))) (* x (- (* x (- (* 243 (cbrt (pow x 2))) (* -81 (cbrt (/ 1 x))))) (* -27 (cbrt (/ 1 x))))))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal 243 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 81 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 27 binary64)))))) |
(* -3 (cbrt (pow x 2))) |
(*.f64 (cbrt.f64 (*.f64 x x)) #s(literal -3 binary64)) |
(+ (* -3 (cbrt (pow x 2))) (* -1 (cbrt (/ 1 x)))) |
(-.f64 (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal -3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(- (+ (* -3 (cbrt (pow x 2))) (* -1/3 (cbrt (/ 1 (pow x 4))))) (cbrt (/ 1 x))) |
(+.f64 (-.f64 (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal -3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(- (+ (* -3 (cbrt (pow x 2))) (* -1/9 (cbrt (/ 1 (pow x 7))))) (+ (cbrt (/ 1 x)) (* 1/3 (cbrt (/ 1 (pow x 4)))))) |
(+.f64 (+.f64 (-.f64 (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal -3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))) (*.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(* 3 (* (cbrt (pow x 2)) (/ 1 (cbrt -1)))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 #s(literal 3 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(+ (* -1 (* (cbrt (/ 1 x)) (/ 1 (pow (cbrt -1) 2)))) (* 3 (* (cbrt (pow x 2)) (/ 1 (cbrt -1))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (-.f64 (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))))) |
(+ (* -1 (/ (- (* -1/3 (* (cbrt (/ 1 x)) (/ 1 (pow (cbrt -1) 3)))) (* -1 (* (cbrt (pow x 2)) (/ 1 (pow (cbrt -1) 2))))) x)) (* 3 (* (cbrt (pow x 2)) (/ 1 (cbrt -1))))) |
(-.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 #s(literal 3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) x)) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1/9 (* (cbrt (/ 1 x)) (/ 1 (pow (cbrt -1) 4)))) (* -1/3 (* (cbrt (pow x 2)) (/ 1 (pow (cbrt -1) 3))))) x)) (* -1 (* (cbrt (pow x 2)) (/ 1 (pow (cbrt -1) 2))))) x)) (* 3 (* (cbrt (pow x 2)) (/ 1 (cbrt -1))))) |
(+.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 #s(literal 3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 (*.f64 x x))) (+.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) x)) |
(* 1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/9 binary64)) |
(/ (+ (* -1/3 (cbrt (pow x 4))) (* 1/9 (cbrt x))) x) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/3 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64))) x) |
(/ (+ (* -1/3 (cbrt (pow x 4))) (* 1/9 (cbrt x))) x) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/3 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64))) x) |
(/ (+ (* -1/3 (cbrt (pow x 4))) (* 1/9 (cbrt x))) x) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/3 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64))) x) |
(* -1/3 (cbrt x)) |
(*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)) |
(* x (+ (* -1/3 (cbrt (/ 1 (pow x 2)))) (* 1/9 (cbrt (/ 1 (pow x 5)))))) |
(*.f64 x (+.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/3 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/9 binary64)))) |
(* x (+ (* -1/3 (cbrt (/ 1 (pow x 2)))) (* 1/9 (cbrt (/ 1 (pow x 5)))))) |
(*.f64 x (+.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/3 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/9 binary64)))) |
(* x (+ (* -1/3 (cbrt (/ 1 (pow x 2)))) (* 1/9 (cbrt (/ 1 (pow x 5)))))) |
(*.f64 x (+.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/3 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/9 binary64)))) |
(* 1/3 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 x) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5))))))) |
(*.f64 x (+.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/9 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5))))))) |
(*.f64 x (+.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/9 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5))))))) |
(*.f64 x (+.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/9 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))))) |
(* 1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/9 binary64)) |
(* 1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/9 binary64)) |
(* 1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/9 binary64)) |
(* 1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/9 binary64)) |
(* 1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/9 binary64)) |
(* 1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/9 binary64)) |
(* 1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/9 binary64)) |
(* 1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/9 binary64)) |
(* 1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/9 binary64)) |
(* 1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/9 binary64)) |
(* 1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/9 binary64)) |
(* 1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/9 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
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1 |
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(+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (+ (* -1/3 (* (/ 1 (pow x 4)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (+ (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (pow x 5)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))))) |
(+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 (cbrt.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (+.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 5 binary64)))))) |
(cbrt (- (/ 1 x) (/ 1 (pow x 2)))) |
(cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
(+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))) |
(+.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 (cbrt.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) |
(+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* -1/3 (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))) (* 1/3 (* (/ 1 x) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))) (pow x 3)))) |
(-.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 (cbrt.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x (*.f64 x x))))) |
(+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))) (* 1/3 (* (/ 1 x) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))) x)) (* -1/3 (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (pow x 3)))) |
(-.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (/.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)))) (*.f64 (cbrt.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) (*.f64 x (*.f64 x x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- x 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x) |
(* -1/9 (cbrt (/ 1 (pow x 5)))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5))))) |
(+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -1/3 binary64) (cbrt.f64 #s(literal -1 binary64))))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5))))) |
(+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -1/3 binary64) (cbrt.f64 #s(literal -1 binary64))))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (cbrt (/ 1 (pow x 5))))) |
(+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -1/3 binary64) (cbrt.f64 #s(literal -1 binary64))))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) x) |
(/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) x) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) x) |
(/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) x) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) x) |
(/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) x) |
(* 1/3 (cbrt x)) |
(*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(* -1/3 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 x) (*.f64 #s(literal -1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* x (+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* x (+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* x (+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* -1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* -1/3 (cbrt x)) |
(*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)) |
(* -1/3 (cbrt x)) |
(*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)) |
(* -1/3 (cbrt x)) |
(*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)) |
(* -1/3 (cbrt x)) |
(*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)) |
(* -1/3 (cbrt x)) |
(*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)) |
(* -1/3 (cbrt x)) |
(*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)) |
(* -1/3 (cbrt x)) |
(*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)) |
(* -1/3 (cbrt x)) |
(*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)) |
(* 1/3 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 x) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(* 1/3 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 x) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(* 1/3 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 x) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(* 1/3 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 x) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
Compiled 15557 to 2100 computations (86.5% saved)
41 alts after pruning (31 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 867 | 15 | 882 |
| Fresh | 5 | 16 | 21 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 873 | 41 | 914 |
| Status | Accuracy | Program |
|---|---|---|
| 24.2% | (/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) x) x) | |
| ✓ | 96.7% | (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
| 98.1% | (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))))) | |
| 3.8% | (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (pow.f64 x #s(literal 10 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 10/243 binary64) (cbrt.f64 (pow.f64 x #s(literal 13 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))) (/.f64 (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (pow.f64 x #s(literal 16 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) | |
| 8.1% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) | |
| 8.1% | (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))))) | |
| 98.2% | (/.f64 (-.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) x) | |
| 23.5% | (/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64)))) (*.f64 x x)) | |
| 97.4% | (/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x) | |
| 97.2% | (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (cbrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))) | |
| 96.8% | (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 x)) | |
| 98.1% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)))) (/.f64 #s(literal -1 binary64) x))) | |
| 96.8% | (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))) | |
| 96.8% | (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) | |
| ✓ | 89.1% | (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
| 89.6% | (/.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)))) | |
| 54.3% | (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))) | |
| ✓ | 98.3% | (/.f64 #s(literal -1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))))) |
| 97.4% | (/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)))) | |
| 98.2% | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))) x))) | |
| 55.2% | (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal -3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| 98.2% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)))) x)) | |
| ✓ | 6.5% | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 x)) |
| 7.6% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| ✓ | 6.5% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| ✓ | 1.8% | (-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| 96.8% | (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) | |
| ✓ | 89.1% | (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
| 97.6% | (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64)))) (pow.f64 x #s(literal 2/3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))) (cbrt.f64 x))) | |
| 97.3% | (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))) #s(literal 1/3 binary64)) | |
| 98.2% | (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))) | |
| 96.8% | (*.f64 (/.f64 #s(literal -1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))) | |
| 96.8% | (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))) | |
| 96.9% | (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (-.f64 #s(literal 0 binary64) x)))) | |
| ✓ | 96.8% | (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
| 96.8% | (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| 55.4% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))) | |
| 55.3% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64)))) | |
| 55.5% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) | |
| ✓ | 54.2% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ✓ | 55.5% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) |
Compiled 1571 to 722 computations (54% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))) |
(/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(/.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 x)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (-.f64 #s(literal 0 binary64) x)))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))) |
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 x)) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) x) |
(/.f64 (-.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) x) |
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal -3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
(/.f64 #s(literal -1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))))) |
(-.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (cbrt.f64 x)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/9 binary64))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)))) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))) x))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)))) (/.f64 #s(literal -1 binary64) x))) |
(-.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (cbrt.f64 x)) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))) |
(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (cbrt.f64 x) #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) x) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) x) x) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))))) |
(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 x)) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (cbrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))) #s(literal 1/3 binary64)) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) (*.f64 x x)) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64)))) (*.f64 x x)) |
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4/3 binary64)))) (pow.f64 x #s(literal 2/3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))) (cbrt.f64 x))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))))) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 (+.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (/.f64 #s(literal -10/243 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64)))) (*.f64 #s(literal -5/81 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (pow.f64 x #s(literal 10 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 10/243 binary64) (cbrt.f64 (pow.f64 x #s(literal 13 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))) (/.f64 (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (pow.f64 x #s(literal 16 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))))) |
2 calls:
| 22.0ms | x |
| 18.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 1 | x |
| 98.3% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))) |
(/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(/.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 x)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (-.f64 #s(literal 0 binary64) x)))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))) |
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 x)) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) x) |
(/.f64 (-.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) x) |
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal -3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) x) |
2 calls:
| 11.0ms | x |
| 10.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 98.2% | 1 | x |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))) |
(/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(/.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 x)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (-.f64 #s(literal 0 binary64) x)))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))) |
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 x)) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)))) |
2 calls:
| 46.0ms | x |
| 8.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 1 | x |
| 97.4% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))) |
(/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
| Outputs |
|---|
(/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))) |
| Outputs |
|---|
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.9% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.1% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.1% | 1 | x |
Compiled 2 to 1 computations (50% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 1.8% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 6.921568701929175e+153 | 1.7890376178873065e+155 |
| 14.0ms | 112× | 1 | valid |
Compiled 117 to 93 computations (20.5% saved)
ival-cbrt: 3.0ms (44.7% of total)ival-add: 1.0ms (14.9% of total)ival-sub: 1.0ms (14.9% of total)backward-pass: 1.0ms (14.9% of total)const: 0.0ms (0% of total)| 1× | egg-herbie |
| 8× | *-commutative_binary64 |
| 8× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 69 |
| 1 | 44 | 69 |
| 2 | 47 | 69 |
| 3 | 49 | 69 |
| 4 | 50 | 69 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) x) |
(/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)))) |
(/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) x) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2/3 binary64)))) x) |
(/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)))) |
(/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| 3996× | *-lowering-*.f32 |
| 3996× | *-lowering-*.f64 |
| 3960× | /-lowering-/.f32 |
| 3960× | /-lowering-/.f64 |
| 3730× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 133 |
| 1 | 162 | 115 |
| 2 | 1298 | 114 |
| 0 | 8523 | 104 |
| 0 | 61 | 1553 |
| 1 | 134 | 1513 |
| 2 | 320 | 1513 |
| 3 | 738 | 1510 |
| 4 | 1580 | 1510 |
| 5 | 2525 | 1510 |
| 6 | 4131 | 1510 |
| 0 | 8035 | 1510 |
| 0 | 28 | 114 |
| 1 | 140 | 97 |
| 2 | 830 | 97 |
| 3 | 6989 | 97 |
| 0 | 8951 | 85 |
| 0 | 24 | 94 |
| 1 | 139 | 86 |
| 2 | 1063 | 86 |
| 0 | 8512 | 84 |
| 0 | 435 | 2882 |
| 1 | 1289 | 2676 |
| 2 | 4492 | 2599 |
| 0 | 8159 | 2589 |
| 0 | 6 | 16 |
| 1 | 39 | 16 |
| 2 | 288 | 16 |
| 3 | 3370 | 16 |
| 0 | 8832 | 16 |
| 0 | 146 | 551 |
| 1 | 378 | 518 |
| 2 | 1079 | 511 |
| 3 | 3255 | 508 |
| 0 | 8048 | 508 |
| 0 | 316 | 2346 |
| 1 | 912 | 2206 |
| 2 | 2643 | 2173 |
| 3 | 6754 | 2172 |
| 0 | 8186 | 2172 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 255 to 152 computations (40.4% saved)
Compiled 208 to 100 computations (51.9% saved)
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