
Time bar (total: 11.3s)
| 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)
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)...c/correct-round.rkt:119:19: 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)| 695.0ms | 4765× | 1 | valid |
| 693.0ms | 3338× | 2 | valid |
| 11.0ms | 153× | 0 | valid |
ival-cbrt: 309.0ms (30.6% of total)...c/correct-round.rkt:119:19: 140.0ms (13.9% of total)backward-pass: 138.0ms (13.7% of total)ival-add: 135.0ms (13.4% of total)ival->: 107.0ms (10.6% of total)ival-sub: 103.0ms (10.2% of total)ival-<: 37.0ms (3.7% of total)ival-and: 25.0ms (2.5% of total)const: 15.0ms (1.5% 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 |
|---|---|---|---|---|---|
| 256 | 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 | 202× | 2 | valid |
| 42.0ms | 300× | 1 | valid |
| 1.0ms | 10× | 0 | valid |
Compiled 48 to 20 computations (58.3% saved)
ival-cbrt: 24.0ms (49.4% of total)backward-pass: 10.0ms (20.6% of total)ival-add: 8.0ms (16.5% of total)ival-sub: 6.0ms (12.3% 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 (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 99.1% | (cbrt.f64 x) |
| ✓ | accuracy | 6.6% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 24.0ms | 150× | 1 | valid |
| 21.0ms | 101× | 2 | valid |
| 0.0ms | 5× | 0 | valid |
Compiled 20 to 7 computations (65% saved)
ival-cbrt: 9.0ms (33.8% of total)ival-add: 9.0ms (33.8% of total)backward-pass: 5.0ms (18.8% of total)ival-sub: 3.0ms (11.3% of total)const: 1.0ms (3.8% 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 | 291 | 16 |
| 3 | 3387 | 16 |
| 0 | 8991 | 16 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (cbrt (+ x 1)) (cbrt x)) |
(cbrt (+ x 1)) |
(+ x 1) |
(cbrt x) |
| Outputs |
|---|
(+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(+.f64 (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 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)) (cbrt.f64 (+.f64 x #s(literal 1 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)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 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)) (pow.f64 (*.f64 x (+.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)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))) #s(literal -1 binary64))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 #s(literal 0 binary64) (-.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x #s(literal 1 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)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 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)) (pow.f64 (*.f64 x (+.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)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))) |
(-.f64 (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 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)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 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)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))))) |
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))))) |
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 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)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 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)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 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)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 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)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 (cbrt.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)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 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)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 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)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 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)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64))))))) |
(fma.f64 #s(literal -1 binary64) (cbrt.f64 x) (cbrt.f64 (+.f64 x #s(literal 1 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) (cbrt.f64 (+.f64 x #s(literal -1 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)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 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)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #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))) |
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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))) (cbrt.f64 (+.f64 x #s(literal -1 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))) (cbrt.f64 (+.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))))) (/.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)) (cbrt.f64 (+.f64 x #s(literal 1 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))) (cbrt.f64 (+.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 #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 (cbrt.f64 (+.f64 x #s(literal 1 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)) (cbrt.f64 (+.f64 x #s(literal 1 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 (cbrt.f64 (+.f64 x #s(literal 1 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)) (cbrt.f64 (+.f64 x #s(literal 1 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)) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 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 1/2 binary64) (log.f64 x)) #s(literal 2/3 binary64))) |
(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 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal 3/2 binary64)) #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))) |
(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 | 495 |
| 2 | 1081 | 488 |
| 3 | 3258 | 483 |
| 0 | 8146 | 483 |
| 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 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 x))) |
(- (+ 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 (*.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 #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 #s(literal 1/3 binary64) (/.f64 (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 #s(literal 1/3 binary64) (/.f64 (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 #s(literal 1/3 binary64) (/.f64 (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 7 binary64))) (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (*.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 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 #s(literal 1/3 binary64) (/.f64 (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 (cbrt.f64 (pow.f64 x #s(literal 16 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 (*.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 #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 (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 #s(literal 1/3 binary64) (/.f64 (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 #s(literal 1/3 binary64) (/.f64 (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 7 binary64))) (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (*.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 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 6763 to 1051 computations (84.5% saved)
23 alts after pruning (22 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 299 | 22 | 321 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 299 | 23 | 322 |
| Status | Accuracy | Program |
|---|---|---|
| 6.1% | (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))))) | |
| 4.0% | (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))) | |
| 7.5% | (fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))))) | |
| 5.6% | (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))))) | |
| 6.6% | (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) | |
| 25.2% | (/.f64 (+.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 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (*.f64 x x)) | |
| 25.4% | (/.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)) | |
| 24.8% | (/.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)) | |
| 6.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))) | |
| 4.0% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) | |
| ▶ | 4.9% | (-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x)) |
| 6.3% | (-.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 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x)) |
| 6.6% | (-.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))) | |
| 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)) |
| 5.6% | (-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x)) | |
| ▶ | 1.8% | (-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| ▶ | 6.4% | (*.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)))) |
| ▶ | 49.8% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 6.5% | (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))) #s(literal -1 binary64))) |
Compiled 702 to 460 computations (34.5% 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 | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 12864 | (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) |
| ✓ | cost-diff | 12864 | (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) |
| ✓ | cost-diff | 12864 | (-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (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)))) |
| 2480× | sum4-define |
| 1836× | fnmadd-define |
| 1544× | fmsub-define |
| 1488× | sum3-define |
| 1220× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 118 |
| 1 | 50 | 118 |
| 2 | 78 | 112 |
| 3 | 141 | 112 |
| 4 | 426 | 112 |
| 5 | 1170 | 112 |
| 6 | 2974 | 112 |
| 7 | 5225 | 112 |
| 0 | 8199 | 112 |
| 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 (pow (cbrt (+ x 1)) 3)) (cbrt x)) |
(cbrt (pow (cbrt (+ x 1)) 3)) |
(pow (cbrt (+ x 1)) 3) |
(cbrt (+ x 1)) |
(+ x 1) |
x |
1 |
3 |
(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 (pow (cbrt (+ x 1)) 3)) (cbrt x)) |
(-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) |
(cbrt (pow (cbrt (+ x 1)) 3)) |
(cbrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(pow (cbrt (+ x 1)) 3) |
(+.f64 #s(literal 1 binary64) x) |
(cbrt (+ x 1)) |
(cbrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+ x 1) |
(+.f64 #s(literal 1 binary64) x) |
x |
1 |
#s(literal 1 binary64) |
3 |
#s(literal 3 binary64) |
(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% | (pow.f64 x #s(literal 1/6 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 | 99.8% | (-.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% | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (cbrt.f64 x) |
| ✓ | accuracy | 100.0% | (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) |
| ✓ | accuracy | 99.8% | (-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/3 binary64) (log1p.f64 x)) |
| ✓ | accuracy | 100.0% | (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) |
| ✓ | accuracy | 100.0% | (cbrt.f64 x) |
| ✓ | accuracy | 99.8% | (-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| ✓ | accuracy | 100.0% | (cbrt.f64 x) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (*.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))) |
| 822.0ms | 253× | 5 | exit |
| 1.0ms | 3× | 0 | valid |
Compiled 144 to 26 computations (81.9% saved)
ival-exp: 255.0ms (38.2% of total)ival-pow: 98.0ms (14.7% of total)backward-pass: 88.0ms (13.2% of total)...c/correct-round.rkt:119:19: 68.0ms (10.2% of total)ival-cbrt: 42.0ms (6.3% of total)ival-mult: 34.0ms (5.1% of total)ival-sub: 32.0ms (4.8% of total)compiled-spec: 23.0ms (3.4% of total)ival-add: 13.0ms (1.9% of total)ival-div: 7.0ms (1% of total)ival-log: 6.0ms (0.9% of total)const: 2.0ms (0.3% 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 (pow (cbrt (+ x 1)) 3)) (cbrt x))> |
#<alt (cbrt (pow (cbrt (+ x 1)) 3))> |
#<alt (pow (cbrt (+ x 1)) 3)> |
#<alt (cbrt (+ x 1))> |
#<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))> |
#<alt (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> |
#<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 (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))> |
#<alt (pow (* 1 x) 1/6)> |
#<alt (pow (* 1 x) 1/6)> |
#<alt (pow (* 1 x) 1/6)> |
#<alt (pow (* 1 x) 1/6)> |
#<alt (pow (* 1 x) 1/6)> |
#<alt (pow (* 1 x) 1/6)> |
#<alt (pow (* 1 x) 1/6)> |
#<alt (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))))))> |
#<alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 37.0ms | x | @ | -inf | (pow x 1/6) |
| 28.0ms | x | @ | 0 | (pow x 1/6) |
| 6.0ms | x | @ | inf | (pow x 1/6) |
| 4.0ms | x | @ | inf | (* 1/3 (log (+ 1 x))) |
| 2.0ms | x | @ | -inf | (* 1/3 (log (+ 1 x))) |
| 1× | batch-egg-rewrite |
| 2980× | /-lowering-/.f32 |
| 2980× | /-lowering-/.f64 |
| 2700× | *-lowering-*.f32 |
| 2700× | *-lowering-*.f64 |
| 1594× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 98 |
| 1 | 149 | 91 |
| 2 | 1184 | 91 |
| 0 | 8603 | 90 |
| 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 (pow (cbrt (+ x 1)) 3)) (cbrt x)) |
(cbrt (pow (cbrt (+ x 1)) 3)) |
(pow (cbrt (+ x 1)) 3) |
(cbrt (+ x 1)) |
(* (+ (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)) |
(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))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 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 0 binary64) (/.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 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(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))) |
(/.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 0 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (-.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 0 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) #s(literal -1 binary64))) |
(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) (neg.f64 (/.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 0 binary64) (/.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 (*.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 (pow.f64 x #s(literal 4/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) |
(*.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 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (/.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 #s(literal 1 binary64) (+.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2/3 binary64))))) (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2/3 binary64))))))) |
(+.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 #s(literal 1 binary64) (+.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2/3 binary64))))) (/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2/3 binary64)))))) |
(-.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)) |
(/.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 #s(literal 1 binary64) (+.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2/3 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.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 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (/.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 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.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 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (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 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.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 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.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 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (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) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))))) |
(exp.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/12 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/12 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/12 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1/12 binary64)) (*.f64 (log.f64 x) #s(literal 1/12 binary64)))) |
(pow.f64 x #s(literal 1/6 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/6 binary64)) (log.f64 x)) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/12 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/12 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 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: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 435 | 3173 |
| 1 | 1289 | 2819 |
| 2 | 4495 | 2737 |
| 0 | 8162 | 2737 |
| 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 |
(+ 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 (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)) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 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)))))) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
| Outputs |
|---|
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(/ 1 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/ 1 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/ 1 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/ 1 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/ 1 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/ 1 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/ 1 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/ 1 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/ 1 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/ 1 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/ 1 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/ 1 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) x) x))))) |
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))) |
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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)) |
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(* x (+ 1/3 (* x (- (* 1/9 x) 1/6)))) |
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x |
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(* -1 (log (/ 1 x))) |
(log.f64 x) |
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(- 1 (cbrt x)) |
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(- (+ 1 (* 1/3 x)) (cbrt x)) |
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(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
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(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
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(* 1/3 (cbrt (/ 1 (pow x 2)))) |
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(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
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(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
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(/ (+ (* -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)) |
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(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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)) |
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(/ (+ (* -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)) |
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(/ (+ (* -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)) |
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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))))) |
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(cbrt x) |
(cbrt.f64 x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(*.f64 x (+.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.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)))))))) |
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(* -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))))) |
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(* -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))))) |
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(* -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))))) |
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1 |
#s(literal 1 binary64) |
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(+.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) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/3 x)) |
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(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
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(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
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(cbrt x) |
(cbrt.f64 x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
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(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
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(* 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)))))))) |
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(+.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 (/.f64 #s(literal 1/6 binary64) x) (*.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))))) |
(+ (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))) |
(-.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 (+.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))) 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))) |
(-.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 (-.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)) x)) |
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) |
(- 1 (pow (* 1 x) 1/6)) |
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))) |
(- (+ 1 (* 1/6 x)) (pow (* 1 x) 1/6)) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) |
(- (+ 1 (* x (+ 1/6 (* -5/72 x)))) (pow (* 1 x) 1/6)) |
(+.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -5/72 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64)))) |
(- (+ 1 (* x (+ 1/6 (* x (- (* 55/1296 x) 5/72))))) (pow (* 1 x) 1/6)) |
(+.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (+.f64 #s(literal -5/72 binary64) (*.f64 x #s(literal 55/1296 binary64)))))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64)))) |
(* 1/6 (pow (/ 1 (pow x 5)) 1/6)) |
(*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/6 binary64))) |
(/ (+ (* -5/72 (pow (/ 1 (pow x 5)) 1/6)) (* 1/6 (pow (* 1 x) 1/6))) x) |
(/.f64 (+.f64 (*.f64 #s(literal -5/72 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/6 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 1/6 binary64)))) 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) |
(/.f64 (+.f64 (*.f64 #s(literal -5/72 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/6 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 1/6 binary64))) (*.f64 #s(literal 55/1296 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))) #s(literal 1/6 binary64))))) 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) |
(/.f64 (+.f64 (*.f64 #s(literal -5/72 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/6 binary64))) (+.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 1/6 binary64))) (*.f64 #s(literal 55/1296 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))) #s(literal 1/6 binary64)))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 17 binary64))) #s(literal 1/6 binary64)) #s(literal -935/31104 binary64)))) x) |
(* 1/6 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) |
(*.f64 (/.f64 #s(literal 1/6 binary64) x) (*.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)))) |
(* -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)) |
(/.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)) |
(pow (* 1 x) 1/6) |
(pow.f64 x #s(literal 1/6 binary64)) |
(pow (* 1 x) 1/6) |
(pow.f64 x #s(literal 1/6 binary64)) |
(pow (* 1 x) 1/6) |
(pow.f64 x #s(literal 1/6 binary64)) |
(pow (* 1 x) 1/6) |
(pow.f64 x #s(literal 1/6 binary64)) |
(pow (* 1 x) 1/6) |
(pow.f64 x #s(literal 1/6 binary64)) |
(pow (* 1 x) 1/6) |
(pow.f64 x #s(literal 1/6 binary64)) |
(pow (* 1 x) 1/6) |
(pow.f64 x #s(literal 1/6 binary64)) |
(pow (* 1 x) 1/6) |
(pow.f64 x #s(literal 1/6 binary64)) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(*.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))) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(*.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))) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(*.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))) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(*.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))) |
Compiled 47521 to 3932 computations (91.7% saved)
31 alts after pruning (28 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1810 | 23 | 1833 |
| Fresh | 12 | 5 | 17 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1825 | 31 | 1856 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.8% | (/.f64 (+.f64 (+.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/36 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/216 binary64))) (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 55/648 binary64))) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal -5/36 binary64)))) x) |
| 25.2% | (/.f64 (+.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 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (*.f64 x x)) | |
| 25.4% | (/.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 (/.f64 #s(literal 1 binary64) 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)) | |
| 24.8% | (/.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)) | |
| 98.5% | (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal -1/9 binary64))) x) | |
| 89.2% | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) | |
| ▶ | 6.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))) |
| 48.4% | (/.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)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) | |
| 89.2% | (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) | |
| 4.0% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) | |
| 6.6% | (-.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)) |
| ▶ | 89.2% | (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
| 46.6% | (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))) | |
| 96.9% | (*.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 0 binary64) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (-.f64 #s(literal 0 binary64) x)))) | |
| 50.0% | (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))) | |
| 89.2% | (*.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)))) | |
| ▶ | 89.3% | (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)))) |
| 51.3% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) | |
| 51.3% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) | |
| 49.8% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) | |
| ✓ | 49.8% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 49.2% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 x))))) | |
| 51.3% | (*.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))))) | |
| ▶ | 51.2% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) |
Compiled 772 to 559 computations (27.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) |
| ✓ | cost-diff | 256 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))) |
| ✓ | cost-diff | 0 | (*.f64 (log.f64 x) #s(literal 2 binary64)) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) |
| ✓ | cost-diff | 6592 | (exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) |
| ✓ | cost-diff | 6592 | (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)))) |
| ✓ | 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 | 320 | (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 320 | (*.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 | 192 | (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/36 binary64)) |
| ✓ | cost-diff | 192 | (+.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/36 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/216 binary64))) |
| ✓ | cost-diff | 20352 | (+.f64 (+.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/36 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/216 binary64))) (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 55/648 binary64))) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal -5/36 binary64)))) |
| ✓ | cost-diff | 20352 | (/.f64 (+.f64 (+.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/36 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/216 binary64))) (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 55/648 binary64))) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal -5/36 binary64)))) x) |
| 1724× | sum4-define |
| 1710× | fma-lowering-fma.f32 |
| 1710× | fma-lowering-fma.f64 |
| 1548× | sum3-define |
| 1528× | fma-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 12884902136 |
| 1 | 90 | 255 |
| 2 | 203 | 255 |
| 3 | 484 | 231 |
| 4 | 1063 | 229 |
| 5 | 1640 | 229 |
| 6 | 1817 | 229 |
| 7 | 1966 | 229 |
| 8 | 2363 | 229 |
| 9 | 3445 | 229 |
| 10 | 3827 | 226 |
| 11 | 4374 | 226 |
| 12 | 5950 | 223 |
| 0 | 8084 | 213 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (+ (* (cbrt (/ (/ 1 x) x)) 1/36) (* (cbrt (/ 1 (pow x 5))) -5/216)) (+ (+ (* 1/3 (cbrt x)) (* (cbrt (/ 1 (pow x 5))) 55/648)) (* (cbrt (/ (/ 1 x) x)) -5/36))) x) |
(+ (+ (* (cbrt (/ (/ 1 x) x)) 1/36) (* (cbrt (/ 1 (pow x 5))) -5/216)) (+ (+ (* 1/3 (cbrt x)) (* (cbrt (/ 1 (pow x 5))) 55/648)) (* (cbrt (/ (/ 1 x) x)) -5/36))) |
(+ (* (cbrt (/ (/ 1 x) x)) 1/36) (* (cbrt (/ 1 (pow x 5))) -5/216)) |
(* (cbrt (/ (/ 1 x) x)) 1/36) |
(cbrt (/ (/ 1 x) x)) |
(/ (/ 1 x) x) |
(/ 1 x) |
1 |
x |
1/36 |
(* (cbrt (/ 1 (pow x 5))) -5/216) |
(cbrt (/ 1 (pow x 5))) |
(/ 1 (pow x 5)) |
(pow x 5) |
5 |
-5/216 |
(+ (+ (* 1/3 (cbrt x)) (* (cbrt (/ 1 (pow x 5))) 55/648)) (* (cbrt (/ (/ 1 x) x)) -5/36)) |
(+ (* 1/3 (cbrt x)) (* (cbrt (/ 1 (pow x 5))) 55/648)) |
(* 1/3 (cbrt x)) |
1/3 |
(cbrt x) |
(* (cbrt (/ 1 (pow x 5))) 55/648) |
55/648 |
(* (cbrt (/ (/ 1 x) x)) -5/36) |
-5/36 |
(* (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 (exp (* (* (log x) 2) -1/3))) |
1/3 |
(exp (* (* (log x) 2) -1/3)) |
(* (* (log x) 2) -1/3) |
(* (log x) 2) |
(log x) |
x |
2 |
-1/3 |
(/ 1 (/ 1 (- (cbrt (+ x 1)) (cbrt x)))) |
1 |
(/ 1 (- (cbrt (+ x 1)) (cbrt x))) |
(- (cbrt (+ x 1)) (cbrt x)) |
(cbrt (+ x 1)) |
(+ x 1) |
x |
(cbrt x) |
| Outputs |
|---|
(/ (+ (+ (* (cbrt (/ (/ 1 x) x)) 1/36) (* (cbrt (/ 1 (pow x 5))) -5/216)) (+ (+ (* 1/3 (cbrt x)) (* (cbrt (/ 1 (pow x 5))) 55/648)) (* (cbrt (/ (/ 1 x) x)) -5/36))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 5/81 binary64)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1/9 binary64)))) x) |
(+ (+ (* (cbrt (/ (/ 1 x) x)) 1/36) (* (cbrt (/ 1 (pow x 5))) -5/216)) (+ (+ (* 1/3 (cbrt x)) (* (cbrt (/ 1 (pow x 5))) 55/648)) (* (cbrt (/ (/ 1 x) x)) -5/36))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 5/81 binary64)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1/9 binary64)))) |
(+ (* (cbrt (/ (/ 1 x) x)) 1/36) (* (cbrt (/ 1 (pow x 5))) -5/216)) |
(+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/216 binary64))) |
(* (cbrt (/ (/ 1 x) x)) 1/36) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) |
(cbrt (/ (/ 1 x) x)) |
(pow.f64 x #s(literal -2/3 binary64)) |
(/ (/ 1 x) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
1/36 |
#s(literal 1/36 binary64) |
(* (cbrt (/ 1 (pow x 5))) -5/216) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/216 binary64)) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
5 |
#s(literal 5 binary64) |
-5/216 |
#s(literal -5/216 binary64) |
(+ (+ (* 1/3 (cbrt x)) (* (cbrt (/ 1 (pow x 5))) 55/648)) (* (cbrt (/ (/ 1 x) x)) -5/36)) |
(+.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 55/648 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) |
(+ (* 1/3 (cbrt x)) (* (cbrt (/ 1 (pow x 5))) 55/648)) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 55/648 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) |
(* (cbrt (/ 1 (pow x 5))) 55/648) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 55/648 binary64)) |
55/648 |
#s(literal 55/648 binary64) |
(* (cbrt (/ (/ 1 x) x)) -5/36) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) |
-5/36 |
#s(literal -5/36 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) (pow.f64 x #s(literal 2/3 binary64))) |
1/3 |
#s(literal 1/3 binary64) |
(cbrt (* (/ 1 x) (/ 1 x))) |
(pow.f64 x #s(literal -2/3 binary64)) |
(* (/ 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 (exp (* (* (log x) 2) -1/3))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
1/3 |
#s(literal 1/3 binary64) |
(exp (* (* (log x) 2) -1/3)) |
(pow.f64 x #s(literal -2/3 binary64)) |
(* (* (log x) 2) -1/3) |
(*.f64 #s(literal -2/3 binary64) (log.f64 x)) |
(* (log x) 2) |
(*.f64 (log.f64 x) #s(literal 2 binary64)) |
(log x) |
(log.f64 x) |
x |
2 |
#s(literal 2 binary64) |
-1/3 |
#s(literal -1/3 binary64) |
(/ 1 (/ 1 (- (cbrt (+ x 1)) (cbrt x)))) |
(-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) |
1 |
#s(literal 1 binary64) |
(/ 1 (- (cbrt (+ x 1)) (cbrt x))) |
(/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))) |
(- (cbrt (+ x 1)) (cbrt x)) |
(-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) |
(cbrt (+ x 1)) |
(cbrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+ x 1) |
(+.f64 #s(literal 1 binary64) x) |
x |
(cbrt x) |
(cbrt.f64 x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) |
| ✓ | accuracy | 99.2% | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 99.1% | (cbrt.f64 x) |
| ✓ | accuracy | 6.6% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| ✓ | accuracy | 100.0% | (log.f64 x) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)))) |
| ✓ | accuracy | 99.3% | (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) |
| ✓ | accuracy | 92.0% | (exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) |
| ✓ | 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 | 52.9% | (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 | 99.3% | (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | accuracy | 99.1% | (cbrt.f64 x) |
| ✓ | accuracy | 61.7% | (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
| ✓ | accuracy | 52.9% | (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
| 212.0ms | 158× | 1 | valid |
| 157.0ms | 92× | 2 | valid |
| 3.0ms | 6× | 0 | valid |
Compiled 322 to 44 computations (86.3% saved)
ival-div: 67.0ms (24.8% of total)...c/correct-round.rkt:119:19: 52.0ms (19.2% of total)ival-mult: 44.0ms (16.3% of total)backward-pass: 27.0ms (10% of total)ival-pow: 27.0ms (10% of total)ival-cbrt: 24.0ms (8.9% of total)ival-add: 14.0ms (5.2% of total)ival-log: 6.0ms (2.2% of total)ival-exp: 5.0ms (1.8% of total)ival-sub: 3.0ms (1.1% of total)const: 1.0ms (0.4% of total)| Inputs |
|---|
#<alt (/ (+ (+ (* (cbrt (/ (/ 1 x) x)) 1/36) (* (cbrt (/ 1 (pow x 5))) -5/216)) (+ (+ (* 1/3 (cbrt x)) (* (cbrt (/ 1 (pow x 5))) 55/648)) (* (cbrt (/ (/ 1 x) x)) -5/36))) x)> |
#<alt (+ (+ (* (cbrt (/ (/ 1 x) x)) 1/36) (* (cbrt (/ 1 (pow x 5))) -5/216)) (+ (+ (* 1/3 (cbrt x)) (* (cbrt (/ 1 (pow x 5))) 55/648)) (* (cbrt (/ (/ 1 x) x)) -5/36)))> |
#<alt (+ (* (cbrt (/ (/ 1 x) x)) 1/36) (* (cbrt (/ 1 (pow x 5))) -5/216))> |
#<alt (* (cbrt (/ (/ 1 x) x)) 1/36)> |
#<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 (exp (* (* (log x) 2) -1/3)))> |
#<alt (exp (* (* (log x) 2) -1/3))> |
#<alt (* (* (log x) 2) -1/3)> |
#<alt (* (log x) 2)> |
#<alt (/ 1 (/ 1 (- (cbrt (+ x 1)) (cbrt x))))> |
#<alt (/ 1 (- (cbrt (+ x 1)) (cbrt x)))> |
#<alt (- (cbrt (+ x 1)) (cbrt x))> |
#<alt (cbrt (+ x 1))> |
#<alt (cbrt (/ (/ 1 x) x))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt x)> |
#<alt (/ 1 (pow x 5))> |
#<alt (log x)> |
| Outputs |
|---|
#<alt (/ (+ (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) (pow x 3))> |
#<alt (/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (* 1/36 (cbrt x)))))) (pow x 3))> |
#<alt (/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (+ (* 1/36 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 3))> |
#<alt (/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (+ (* 1/36 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 3))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* -5/216 (cbrt (/ 1 (pow x 8)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (+ (* 55/648 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))))> |
#<alt (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* -5/216 (cbrt (/ 1 (pow x 8)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (+ (* 55/648 (cbrt (/ 1 (pow x 8)))) (* 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))) (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (* 1/36 (cbrt (/ 1 (pow x 5))))))> |
#<alt (+ (* -1 (/ (+ (* -1 (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (* 1/36 (cbrt (/ 1 (pow x 2)))))) (+ (* -5/216 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 55/648 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))))) x)) (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))> |
#<alt (+ (* -1 (/ (+ (* -1 (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (* 1/36 (cbrt (/ 1 (pow x 2)))))) (+ (* -5/216 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 55/648 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))))) x)) (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))> |
#<alt (/ (+ (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) (pow x 2))> |
#<alt (/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (* 1/36 (cbrt x)))))) (pow x 2))> |
#<alt (/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (+ (* 1/36 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 2))> |
#<alt (/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (+ (* 1/36 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 2))> |
#<alt (* 1/3 (cbrt x))> |
#<alt (* x (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))> |
#<alt (* x (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* -5/216 (cbrt (/ 1 (pow x 8)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (+ (* 55/648 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))))> |
#<alt (* x (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* -5/216 (cbrt (/ 1 (pow x 8)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (+ (* 55/648 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))))> |
#<alt (* -1/3 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (* 1/36 (cbrt (/ 1 (pow x 2))))) x)) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -5/216 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* 55/648 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))) x)) (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (* 1/36 (cbrt (/ 1 (pow x 2)))))) x)) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -5/216 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* 55/648 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))) x)) (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (* 1/36 (cbrt (/ 1 (pow x 2)))))) x)) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))> |
#<alt (* -5/216 (cbrt (/ 1 (pow x 5))))> |
#<alt (/ (+ (* -5/216 (cbrt x)) (* 1/36 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (/ (+ (* -5/216 (cbrt x)) (* 1/36 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (/ (+ (* -5/216 (cbrt x)) (* 1/36 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (* 1/36 (cbrt (/ 1 (pow x 2))))> |
#<alt (+ (* -5/216 (cbrt (/ 1 (pow x 5)))) (* 1/36 (cbrt (/ 1 (pow x 2)))))> |
#<alt (+ (* -5/216 (cbrt (/ 1 (pow x 5)))) (* 1/36 (cbrt (/ 1 (pow x 2)))))> |
#<alt (+ (* -5/216 (cbrt (/ 1 (pow x 5)))) (* 1/36 (cbrt (/ 1 (pow x 2)))))> |
#<alt (* 1/36 (cbrt (/ 1 (pow x 2))))> |
#<alt (+ (* 5/216 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/36 (cbrt (/ 1 (pow x 2)))))> |
#<alt (+ (* 5/216 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/36 (cbrt (/ 1 (pow x 2)))))> |
#<alt (+ (* 5/216 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/36 (cbrt (/ 1 (pow x 2)))))> |
#<alt (* 1/36 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/36 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/36 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/36 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/36 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/36 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/36 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/36 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/36 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/36 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/36 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/36 (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 (* 1/3 (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))))> |
#<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 (* -2/3 (log x))> |
#<alt (* -2/3 (log x))> |
#<alt (* -2/3 (log x))> |
#<alt (* -2/3 (log x))> |
#<alt (* 2/3 (log (/ 1 x)))> |
#<alt (* 2/3 (log (/ 1 x)))> |
#<alt (* 2/3 (log (/ 1 x)))> |
#<alt (* 2/3 (log (/ 1 x)))> |
#<alt (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (* 2 (log x))> |
#<alt (* 2 (log x))> |
#<alt (* 2 (log x))> |
#<alt (* 2 (log x))> |
#<alt (* -2 (log (/ 1 x)))> |
#<alt (* -2 (log (/ 1 x)))> |
#<alt (* -2 (log (/ 1 x)))> |
#<alt (* -2 (log (/ 1 x)))> |
#<alt (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (* 2 (+ (log -1) (* -1 (log (/ -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 (- 1 (cbrt x)))> |
#<alt (+ (* -1/3 (/ x (pow (- 1 (cbrt x)) 2))) (/ 1 (- 1 (cbrt x))))> |
#<alt (+ (* x (- (* x (+ (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 3))))) (* 1/3 (/ 1 (pow (- 1 (cbrt x)) 2))))) (/ 1 (- 1 (cbrt x))))> |
#<alt (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/27 (/ 1 (pow (- 1 (cbrt x)) 3))) (+ (* 5/81 (/ 1 (pow (- 1 (cbrt x)) 2))) (* 1/3 (/ (+ (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 3)))) (- 1 (cbrt x)))))))) (+ (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 3)))))) (* 1/3 (/ 1 (pow (- 1 (cbrt x)) 2))))) (/ 1 (- 1 (cbrt x))))> |
#<alt (* 3 (cbrt (pow x 2)))> |
#<alt (* (pow x 2) (+ (cbrt (/ 1 (pow x 7))) (* 3 (cbrt (/ 1 (pow x 4))))))> |
#<alt (* (pow x 2) (- (+ (* -1 (/ (+ (* -1/3 (cbrt (pow x 8))) (* 5/9 (cbrt (pow x 8)))) (pow x 6))) (* 3 (cbrt (/ 1 (pow x 4))))) (* -1 (cbrt (/ 1 (pow x 7))))))> |
#<alt (* (pow x 2) (- (+ (* -1 (/ (+ (* -10/27 (cbrt (pow x 14))) (+ (* 5/27 (cbrt (pow x 14))) (* 1/3 (* (pow x 2) (+ (* -1/3 (cbrt (pow x 8))) (* 5/9 (cbrt (pow x 8)))))))) (pow x 9))) (* 3 (cbrt (/ 1 (pow x 4))))) (+ (* -1 (cbrt (/ 1 (pow x 7)))) (+ (* -1/3 (cbrt (/ 1 (pow x 10)))) (* 5/9 (cbrt (/ 1 (pow x 10))))))))> |
#<alt (* 3 (* (cbrt (pow x 2)) (pow (cbrt -1) 2)))> |
#<alt (* (pow x 2) (+ (* -1 (* (cbrt (/ 1 (pow x 7))) (/ 1 (cbrt -1)))) (* 3 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (+ (* -1/3 (* (cbrt (/ 1 x)) (/ 1 (pow (cbrt -1) 4)))) (* 5/9 (* (cbrt (/ 1 x)) (/ 1 (pow (cbrt -1) 4))))) (* -1 (* (cbrt (pow x 2)) (/ 1 (cbrt -1))))) (pow x 3))) (* 3 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -10/27 (* (cbrt (pow x 5)) (/ 1 (pow (cbrt -1) 7)))) (+ (* 5/27 (* (cbrt (pow x 5)) (/ 1 (pow (cbrt -1) 7)))) (* 1/3 (/ (+ (* -1/3 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))) (* 5/9 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4))))) (* x (pow (cbrt -1) 3)))))) (+ (* -1/3 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))) (* 5/9 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))))) (pow x 3))) (* -1 (* (cbrt (pow x 2)) (/ 1 (cbrt -1))))) (pow x 3))) (* 3 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2)))))> |
#<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 (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 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))> |
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))> |
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))> |
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (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 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (log x)> |
#<alt (log x)> |
#<alt (log x)> |
#<alt (log x)> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | (* (* (log x) 2) -1/3) |
| 4.0ms | x | @ | inf | (+ (* (cbrt (/ (/ 1 x) x)) 1/36) (* (cbrt (/ 1 (pow x 5))) -5/216)) |
| 2.0ms | x | @ | inf | (cbrt (/ 1 (pow x 5))) |
| 1.0ms | x | @ | -inf | (/ 1 (- (cbrt (+ x 1)) (cbrt x))) |
| 1.0ms | x | @ | 0 | (pow x -2/3) |
| 1× | batch-egg-rewrite |
| 5716× | *-lowering-*.f32 |
| 5716× | *-lowering-*.f64 |
| 3192× | +-lowering-+.f64 |
| 3192× | +-lowering-+.f32 |
| 2530× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 169 |
| 1 | 222 | 167 |
| 2 | 1880 | 159 |
| 0 | 10736 | 140 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (+ (* (cbrt (/ (/ 1 x) x)) 1/36) (* (cbrt (/ 1 (pow x 5))) -5/216)) (+ (+ (* 1/3 (cbrt x)) (* (cbrt (/ 1 (pow x 5))) 55/648)) (* (cbrt (/ (/ 1 x) x)) -5/36))) x) |
(+ (+ (* (cbrt (/ (/ 1 x) x)) 1/36) (* (cbrt (/ 1 (pow x 5))) -5/216)) (+ (+ (* 1/3 (cbrt x)) (* (cbrt (/ 1 (pow x 5))) 55/648)) (* (cbrt (/ (/ 1 x) x)) -5/36))) |
(+ (* (cbrt (/ (/ 1 x) x)) 1/36) (* (cbrt (/ 1 (pow x 5))) -5/216)) |
(* (cbrt (/ (/ 1 x) x)) 1/36) |
(* (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 (exp (* (* (log x) 2) -1/3))) |
(exp (* (* (log x) 2) -1/3)) |
(* (* (log x) 2) -1/3) |
(* (log x) 2) |
(/ 1 (/ 1 (- (cbrt (+ x 1)) (cbrt x)))) |
(/ 1 (- (cbrt (+ x 1)) (cbrt x))) |
(- (cbrt (+ x 1)) (cbrt x)) |
(cbrt (+ x 1)) |
(cbrt (/ (/ 1 x) x)) |
(cbrt (/ 1 (pow x 5))) |
(cbrt x) |
(/ 1 (pow x 5)) |
(log x) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))))) (-.f64 #s(literal 0 binary64) x))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64))))))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64))))))) #s(literal 1 binary64))) |
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))))) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64))))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64))))))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) #s(literal 3 binary64))) (*.f64 x (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))))))))) |
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(/.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))) |
(/.f64 (cbrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64))) |
(/.f64 (cbrt.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (cbrt.f64 (neg.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (cbrt.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (cbrt.f64 (neg.f64 (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) |
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (cbrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1/3 binary64))) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1/3 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal -1/3 binary64)) (*.f64 (log.f64 x) #s(literal -1/3 binary64)))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 x)) |
(/.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) x))) |
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (neg.f64 (*.f64 x x)))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/3 binary64))) |
(/.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/3 binary64))) |
(pow.f64 x #s(literal -2/3 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal -1/3 binary64))) |
(pow.f64 (exp.f64 #s(literal -1/3 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/6 binary64)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal -1/3 binary64)) (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal -1/3 binary64)) #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64)) |
(pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) |
(pow.f64 (exp.f64 (*.f64 #s(literal -1/3 binary64) (log.f64 x))) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64)) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 2/3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -2/3 binary64)) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -2/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/3 binary64))) |
(*.f64 (exp.f64 (*.f64 #s(literal -1/3 binary64) (log.f64 x))) (exp.f64 (*.f64 #s(literal -1/3 binary64) (log.f64 x)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -5/3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 5 binary64) (log.f64 x)) #s(literal -1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 5/3 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -5 binary64)) #s(literal 1/3 binary64))) |
(cbrt.f64 (pow.f64 x #s(literal -5 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/3 binary64))) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 5/3 binary64)))) |
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/3 binary64))) |
(/.f64 (cbrt.f64 (pow.f64 x #s(literal -5/2 binary64))) (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64))) |
(pow.f64 x #s(literal -5/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -5 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -5/6 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -2/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal -5/6 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) (pow.f64 x #s(literal -5 binary64))) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -5/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -5/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -5/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -5/3 binary64))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64)))))) |
(*.f64 (pow.f64 x #s(literal -5/6 binary64)) (pow.f64 x #s(literal -5/6 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -5/3 binary64)) (pow.f64 x #s(literal -5/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -5/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -5/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -5/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -5/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -5/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -5/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1 binary64)) #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -5/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -5/2 binary64)))) |
(exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))) |
(cbrt.f64 x) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/3 binary64))) |
(/.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal -1 binary64))) |
(pow.f64 x #s(literal 1/3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 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 (cbrt.f64 x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -5 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -5/3 binary64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -5 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal 3 binary64))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5/3 binary64))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) |
(/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/3 binary64)) #s(literal 3 binary64))) |
(pow.f64 x #s(literal -5 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -15 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal -3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -5/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -5 binary64))) |
(*.f64 (pow.f64 x #s(literal -5/3 binary64)) (pow.f64 x #s(literal -10/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -5/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -5 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -5/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -10/3 binary64)) (pow.f64 x #s(literal -5/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -5 binary64)) (pow.f64 x #s(literal -5/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -5 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -5 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -5/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -5/6 binary64)) #s(literal 3 binary64))) |
(log.f64 x) |
(+.f64 (log.f64 x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (log.f64 x)) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) (log.f64 (pow.f64 x #s(literal 2/3 binary64)))) |
(+.f64 (log.f64 (pow.f64 x #s(literal 2/3 binary64))) (*.f64 #s(literal 1/3 binary64) (log.f64 x))) |
(+.f64 (log.f64 (pow.f64 x #s(literal 1/2 binary64))) (log.f64 (pow.f64 x #s(literal 1/2 binary64)))) |
(-.f64 (log.f64 x) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log.f64 x))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 #s(literal -1 binary64))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (log.f64 x))) |
(*.f64 #s(literal 1 binary64) (log.f64 x)) |
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 x))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal 3 binary64)) |
| 1× | egg-herbie |
| 4336× | *-lowering-*.f32 |
| 4336× | *-lowering-*.f64 |
| 4114× | +-lowering-+.f64 |
| 4114× | +-lowering-+.f32 |
| 1080× | sum3-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 362 | 2832 |
| 1 | 1082 | 2504 |
| 2 | 3734 | 2453 |
| 0 | 8184 | 2453 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) (pow x 3)) |
(/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (* 1/36 (cbrt x)))))) (pow x 3)) |
(/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (+ (* 1/36 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 3)) |
(/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (+ (* 1/36 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 3)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* -5/216 (cbrt (/ 1 (pow x 8)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (+ (* 55/648 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))) |
(+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* -5/216 (cbrt (/ 1 (pow x 8)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (+ (* 55/648 (cbrt (/ 1 (pow x 8)))) (* 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))) (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (* 1/36 (cbrt (/ 1 (pow x 5)))))) |
(+ (* -1 (/ (+ (* -1 (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (* 1/36 (cbrt (/ 1 (pow x 2)))))) (+ (* -5/216 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 55/648 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))))) x)) (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))) |
(+ (* -1 (/ (+ (* -1 (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (* 1/36 (cbrt (/ 1 (pow x 2)))))) (+ (* -5/216 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 55/648 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))))) x)) (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))) |
(/ (+ (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) (pow x 2)) |
(/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (* 1/36 (cbrt x)))))) (pow x 2)) |
(/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (+ (* 1/36 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 2)) |
(/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (+ (* 1/36 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 2)) |
(* 1/3 (cbrt x)) |
(* x (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))) |
(* x (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* -5/216 (cbrt (/ 1 (pow x 8)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (+ (* 55/648 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))))) |
(* x (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* -5/216 (cbrt (/ 1 (pow x 8)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (+ (* 55/648 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))))) |
(* -1/3 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* -1 (/ (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (* 1/36 (cbrt (/ 1 (pow x 2))))) x)) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -5/216 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* 55/648 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))) x)) (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (* 1/36 (cbrt (/ 1 (pow x 2)))))) x)) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -5/216 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* 55/648 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))) x)) (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (* 1/36 (cbrt (/ 1 (pow x 2)))))) x)) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* -5/216 (cbrt (/ 1 (pow x 5)))) |
(/ (+ (* -5/216 (cbrt x)) (* 1/36 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -5/216 (cbrt x)) (* 1/36 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -5/216 (cbrt x)) (* 1/36 (cbrt (pow x 4)))) (pow x 2)) |
(* 1/36 (cbrt (/ 1 (pow x 2)))) |
(+ (* -5/216 (cbrt (/ 1 (pow x 5)))) (* 1/36 (cbrt (/ 1 (pow x 2))))) |
(+ (* -5/216 (cbrt (/ 1 (pow x 5)))) (* 1/36 (cbrt (/ 1 (pow x 2))))) |
(+ (* -5/216 (cbrt (/ 1 (pow x 5)))) (* 1/36 (cbrt (/ 1 (pow x 2))))) |
(* 1/36 (cbrt (/ 1 (pow x 2)))) |
(+ (* 5/216 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/36 (cbrt (/ 1 (pow x 2))))) |
(+ (* 5/216 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/36 (cbrt (/ 1 (pow x 2))))) |
(+ (* 5/216 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/36 (cbrt (/ 1 (pow x 2))))) |
(* 1/36 (cbrt (/ 1 (pow x 2)))) |
(* 1/36 (cbrt (/ 1 (pow x 2)))) |
(* 1/36 (cbrt (/ 1 (pow x 2)))) |
(* 1/36 (cbrt (/ 1 (pow x 2)))) |
(* 1/36 (cbrt (/ 1 (pow x 2)))) |
(* 1/36 (cbrt (/ 1 (pow x 2)))) |
(* 1/36 (cbrt (/ 1 (pow x 2)))) |
(* 1/36 (cbrt (/ 1 (pow x 2)))) |
(* 1/36 (cbrt (/ 1 (pow x 2)))) |
(* 1/36 (cbrt (/ 1 (pow x 2)))) |
(* 1/36 (cbrt (/ 1 (pow x 2)))) |
(* 1/36 (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))) |
(* 1/3 (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)))) |
(* 1/3 (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))) |
(* -2/3 (log x)) |
(* -2/3 (log x)) |
(* -2/3 (log x)) |
(* -2/3 (log x)) |
(* 2/3 (log (/ 1 x))) |
(* 2/3 (log (/ 1 x))) |
(* 2/3 (log (/ 1 x))) |
(* 2/3 (log (/ 1 x))) |
(* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))) |
(* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))) |
(* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))) |
(* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))) |
(* 2 (log x)) |
(* 2 (log x)) |
(* 2 (log x)) |
(* 2 (log x)) |
(* -2 (log (/ 1 x))) |
(* -2 (log (/ 1 x))) |
(* -2 (log (/ 1 x))) |
(* -2 (log (/ 1 x))) |
(* 2 (+ (log -1) (* -1 (log (/ -1 x))))) |
(* 2 (+ (log -1) (* -1 (log (/ -1 x))))) |
(* 2 (+ (log -1) (* -1 (log (/ -1 x))))) |
(* 2 (+ (log -1) (* -1 (log (/ -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 (cbrt x))) |
(+ (* -1/3 (/ x (pow (- 1 (cbrt x)) 2))) (/ 1 (- 1 (cbrt x)))) |
(+ (* x (- (* x (+ (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 3))))) (* 1/3 (/ 1 (pow (- 1 (cbrt x)) 2))))) (/ 1 (- 1 (cbrt x)))) |
(+ (* x (- (* x (+ (* -1 (* x (+ (* 1/27 (/ 1 (pow (- 1 (cbrt x)) 3))) (+ (* 5/81 (/ 1 (pow (- 1 (cbrt x)) 2))) (* 1/3 (/ (+ (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 3)))) (- 1 (cbrt x)))))))) (+ (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 2))) (* 1/9 (/ 1 (pow (- 1 (cbrt x)) 3)))))) (* 1/3 (/ 1 (pow (- 1 (cbrt x)) 2))))) (/ 1 (- 1 (cbrt x)))) |
(* 3 (cbrt (pow x 2))) |
(* (pow x 2) (+ (cbrt (/ 1 (pow x 7))) (* 3 (cbrt (/ 1 (pow x 4)))))) |
(* (pow x 2) (- (+ (* -1 (/ (+ (* -1/3 (cbrt (pow x 8))) (* 5/9 (cbrt (pow x 8)))) (pow x 6))) (* 3 (cbrt (/ 1 (pow x 4))))) (* -1 (cbrt (/ 1 (pow x 7)))))) |
(* (pow x 2) (- (+ (* -1 (/ (+ (* -10/27 (cbrt (pow x 14))) (+ (* 5/27 (cbrt (pow x 14))) (* 1/3 (* (pow x 2) (+ (* -1/3 (cbrt (pow x 8))) (* 5/9 (cbrt (pow x 8)))))))) (pow x 9))) (* 3 (cbrt (/ 1 (pow x 4))))) (+ (* -1 (cbrt (/ 1 (pow x 7)))) (+ (* -1/3 (cbrt (/ 1 (pow x 10)))) (* 5/9 (cbrt (/ 1 (pow x 10)))))))) |
(* 3 (* (cbrt (pow x 2)) (pow (cbrt -1) 2))) |
(* (pow x 2) (+ (* -1 (* (cbrt (/ 1 (pow x 7))) (/ 1 (cbrt -1)))) (* 3 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2))))) |
(* (pow x 2) (+ (* -1 (/ (- (+ (* -1/3 (* (cbrt (/ 1 x)) (/ 1 (pow (cbrt -1) 4)))) (* 5/9 (* (cbrt (/ 1 x)) (/ 1 (pow (cbrt -1) 4))))) (* -1 (* (cbrt (pow x 2)) (/ 1 (cbrt -1))))) (pow x 3))) (* 3 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2))))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -10/27 (* (cbrt (pow x 5)) (/ 1 (pow (cbrt -1) 7)))) (+ (* 5/27 (* (cbrt (pow x 5)) (/ 1 (pow (cbrt -1) 7)))) (* 1/3 (/ (+ (* -1/3 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))) (* 5/9 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4))))) (* x (pow (cbrt -1) 3)))))) (+ (* -1/3 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))) (* 5/9 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))))) (pow x 3))) (* -1 (* (cbrt (pow x 2)) (/ 1 (cbrt -1))))) (pow x 3))) (* 3 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2))))) |
(- 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))))) |
(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 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (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 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(log x) |
(log x) |
(log x) |
(log x) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
| Outputs |
|---|
(/ (+ (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) (pow x 3)) |
(/.f64 (*.f64 (cbrt.f64 x) #s(literal 5/81 binary64)) (*.f64 x (*.f64 x x))) |
(/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (* 1/36 (cbrt x)))))) (pow x 3)) |
(/.f64 (*.f64 (cbrt.f64 x) (+.f64 #s(literal 5/81 binary64) (*.f64 x #s(literal -1/9 binary64)))) (*.f64 x (*.f64 x x))) |
(/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (+ (* 1/36 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 3)) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) (+.f64 #s(literal 5/81 binary64) (*.f64 x #s(literal -1/9 binary64)))) (*.f64 x (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))) (*.f64 x (*.f64 x x))) |
(/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (+ (* 1/36 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 3)) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) (+.f64 #s(literal 5/81 binary64) (*.f64 x #s(literal -1/9 binary64)))) (*.f64 x (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))) (*.f64 x (*.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)))) |
(+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* 1/36 (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 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64))) |
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(* (pow x 2) (+ (* -1 (/ (- (+ (* -1/3 (* (cbrt (/ 1 x)) (/ 1 (pow (cbrt -1) 4)))) (* 5/9 (* (cbrt (/ 1 x)) (/ 1 (pow (cbrt -1) 4))))) (* -1 (* (cbrt (pow x 2)) (/ 1 (cbrt -1))))) (pow x 3))) (* 3 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2))))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 #s(literal -1 binary64)))) (*.f64 x (*.f64 x x))))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -10/27 (* (cbrt (pow x 5)) (/ 1 (pow (cbrt -1) 7)))) (+ (* 5/27 (* (cbrt (pow x 5)) (/ 1 (pow (cbrt -1) 7)))) (* 1/3 (/ (+ (* -1/3 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))) (* 5/9 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4))))) (* x (pow (cbrt -1) 3)))))) (+ (* -1/3 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))) (* 5/9 (* (cbrt (pow x 8)) (/ 1 (pow (cbrt -1) 4)))))) (pow x 3))) (* -1 (* (cbrt (pow x 2)) (/ 1 (cbrt -1))))) (pow x 3))) (* 3 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2))))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 (+.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 5 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64))) #s(literal -5/27 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 2/9 binary64) x))) (*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -2/9 binary64)))) (*.f64 x (*.f64 x x))) (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 #s(literal -1 binary64)))) (*.f64 x (*.f64 x x))))) |
(- 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 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (cbrt.f64 x) #s(literal -1/9 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 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 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 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 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) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64)))) (*.f64 x x)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (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 #s(literal 1/3 binary64) (/.f64 (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 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 (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 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 (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 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 #s(literal 1/3 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 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1/9 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 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1/9 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 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/3 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 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 (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 #s(literal 1/3 binary64) (/.f64 (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)))) (-.f64 #s(literal 0 binary64) 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 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 (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)) |
(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))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(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 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
Compiled 58990 to 4386 computations (92.6% saved)
49 alts after pruning (44 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1356 | 32 | 1388 |
| Fresh | 11 | 12 | 23 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1370 | 49 | 1419 |
| Status | Accuracy | Program |
|---|---|---|
| 98.7% | (/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 25/1296 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64))))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))))) x) | |
| 98.7% | (/.f64 (fma.f64 (+.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -125/46656 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))))))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))))) x) | |
| 98.8% | (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -125/46656 binary64))) (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 25/1296 binary64)) (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))))) x) | |
| 75.5% | (/.f64 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 25/1296 binary64))) (/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal 5/216 binary64) (pow.f64 x #s(literal -5/3 binary64)))) (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 1/1296 binary64)) (*.f64 (pow.f64 x #s(literal -10/3 binary64)) #s(literal 25/46656 binary64))))) (*.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) (/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal 5/216 binary64) (pow.f64 x #s(literal -5/3 binary64)))) (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 1/1296 binary64)) (*.f64 (pow.f64 x #s(literal -10/3 binary64)) #s(literal 25/46656 binary64)))))) x) | |
| 79.8% | (/.f64 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 25/1296 binary64))) (+.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 1/1296 binary64)) (*.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (-.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)))))) (*.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/46656 binary64)) (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -125/10077696 binary64))))) (*.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) (+.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 1/1296 binary64)) (*.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (-.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64))))))) x) | |
| 98.6% | (/.f64 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 1/1296 binary64)) (*.f64 (pow.f64 x #s(literal -10/3 binary64)) #s(literal 25/46656 binary64))) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) (-.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 25/1296 binary64))))) (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal 5/216 binary64) (pow.f64 x #s(literal -5/3 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal 5/216 binary64) (pow.f64 x #s(literal -5/3 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) (-.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 25/1296 binary64)))))) x) | |
| 98.7% | (/.f64 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 1/1296 binary64)) (*.f64 (pow.f64 x #s(literal -10/3 binary64)) #s(literal 25/46656 binary64))) (+.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))))))) (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal 5/216 binary64) (pow.f64 x #s(literal -5/3 binary64)))) (+.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -125/46656 binary64))))) (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal 5/216 binary64) (pow.f64 x #s(literal -5/3 binary64)))) (+.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))))))) x) | |
| 69.7% | (/.f64 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/9 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64))) #s(literal 2 binary64))) (/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal 5/216 binary64) (pow.f64 x #s(literal -5/3 binary64)))) (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 1/1296 binary64)) (*.f64 (pow.f64 x #s(literal -10/3 binary64)) #s(literal 25/46656 binary64))))) (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) (/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal 5/216 binary64) (pow.f64 x #s(literal -5/3 binary64)))) (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 1/1296 binary64)) (*.f64 (pow.f64 x #s(literal -10/3 binary64)) #s(literal 25/46656 binary64)))))) x) | |
| 98.6% | (/.f64 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -10/3 binary64)) #s(literal 25/46656 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) #s(literal 2 binary64))) (cbrt.f64 x)) (*.f64 (-.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64))))) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/36 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64))))) (cbrt.f64 x))) x) | |
| 25.2% | (/.f64 (/.f64 (+.f64 (*.f64 (cbrt.f64 x) (+.f64 #s(literal 5/81 binary64) (*.f64 x #s(literal -1/9 binary64)))) (*.f64 x (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))) (*.f64 x x)) x) | |
| 98.7% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))))))) (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) #s(literal 3 binary64))))) x) | |
| ▶ | 98.9% | (/.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))))) x) |
| 98.3% | (/.f64 (+.f64 (+.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/36 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/216 binary64))) (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 55/648 binary64))) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal -5/36 binary64)))) x) | |
| 25.4% | (/.f64 (+.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 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) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64)))) (*.f64 x x)) | |
| 24.8% | (/.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)) | |
| 98.5% | (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal -1/9 binary64))) x) | |
| ▶ | 98.6% | (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64)))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))))) |
| 98.7% | (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64)))))))) | |
| 50.7% | (/.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/9 binary64) x))) (-.f64 #s(literal 0 binary64) x)) x) | |
| 97.5% | (/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x) | |
| 98.7% | (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))))))) | |
| ✓ | 6.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))) |
| 49.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) | |
| 48.4% | (/.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)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) | |
| 24.8% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))) | |
| 50.0% | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (cbrt.f64 (*.f64 x x)))) | |
| ▶ | 89.2% | (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
| ▶ | 4.0% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
| 6.6% | (-.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)) |
| ▶ | 50.7% | (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64))) |
| 98.6% | (*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64)))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64))))))) | |
| 98.5% | (*.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))))))))) | |
| 90.4% | (*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) #s(literal 1/3 binary64)) | |
| 96.9% | (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) | |
| ✓ | 89.2% | (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
| 50.0% | (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64)) | |
| 98.7% | (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64))))))) #s(literal -1 binary64))) | |
| 98.8% | (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64))))))) | |
| 89.3% | (*.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 0 binary64) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (-.f64 #s(literal 0 binary64) x)))) | |
| 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))))) | |
| 51.3% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) | |
| 49.8% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) | |
| ✓ | 49.8% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 51.1% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)))) |
Compiled 3742 to 1830 computations (51.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) #s(literal 2 binary64))) |
| ✓ | cost-diff | 128 | (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 6720 | (-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64)))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64))))) |
| ✓ | cost-diff | 53312 | (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64)))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))))) |
| ✓ | 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)))) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64))) |
| ✓ | cost-diff | 0 | (cbrt.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (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 -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) |
| ✓ | cost-diff | 6720 | (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64))))) |
| ✓ | cost-diff | 6720 | (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))))) |
| ✓ | cost-diff | 6720 | (/.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))))) x) |
| 2348× | fma-lowering-fma.f32 |
| 2348× | fma-lowering-fma.f64 |
| 1918× | --lowering--.f32 |
| 1918× | --lowering--.f64 |
| 1820× | fmsub-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 120259084366 |
| 1 | 95 | 120259084366 |
| 2 | 264 | 120259084366 |
| 3 | 1248 | 120259084366 |
| 4 | 5336 | 120259084366 |
| 0 | 8465 | 404 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (/ -5/216 (pow x 5/3)) (+ (* (pow x -2/3) 1/36) (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))))) x) |
(+ (/ -5/216 (pow x 5/3)) (+ (* (pow x -2/3) 1/36) (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))))) |
(/ -5/216 (pow x 5/3)) |
-5/216 |
(pow x 5/3) |
x |
5/3 |
(+ (* (pow x -2/3) 1/36) (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36)))) |
(* (pow x -2/3) 1/36) |
(pow x -2/3) |
-2/3 |
1/36 |
(+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))) |
(* 1/3 (cbrt x)) |
1/3 |
(cbrt x) |
(+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36)) |
(/ 55/648 (pow x 5/3)) |
55/648 |
(* (pow x -2/3) -5/36) |
-5/36 |
(/ 1/3 (pow x 2/3)) |
1/3 |
(pow x 2/3) |
x |
2/3 |
(- (pow (+ x 1) 1/3) (cbrt x)) |
(pow (+ x 1) 1/3) |
(+ x 1) |
x |
1 |
1/3 |
(cbrt x) |
(+ (* 1/3 (cbrt (/ 1 (* x x)))) (* (cbrt (/ 1 (pow x 5))) -1/9)) |
(* 1/3 (cbrt (/ 1 (* x x)))) |
1/3 |
(cbrt (/ 1 (* x x))) |
(/ 1 (* x x)) |
1 |
(* x x) |
x |
(* (cbrt (/ 1 (pow x 5))) -1/9) |
(cbrt (/ 1 (pow x 5))) |
(/ 1 (pow x 5)) |
(pow x 5) |
5 |
-1/9 |
(/ (* (- (pow (+ (* (pow x -2/3) 1/36) (/ -5/216 (pow x 5/3))) 2) (pow (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))) 2)) (/ 1 x)) (- (+ (* (pow x -2/3) 1/36) (/ -5/216 (pow x 5/3))) (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))))) |
(* (- (pow (+ (* (pow x -2/3) 1/36) (/ -5/216 (pow x 5/3))) 2) (pow (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))) 2)) (/ 1 x)) |
(- (pow (+ (* (pow x -2/3) 1/36) (/ -5/216 (pow x 5/3))) 2) (pow (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))) 2)) |
(pow (+ (* (pow x -2/3) 1/36) (/ -5/216 (pow x 5/3))) 2) |
(+ (* (pow x -2/3) 1/36) (/ -5/216 (pow x 5/3))) |
(* (pow x -2/3) 1/36) |
(pow x -2/3) |
x |
-2/3 |
1/36 |
(/ -5/216 (pow x 5/3)) |
-5/216 |
(pow x 5/3) |
5/3 |
2 |
(pow (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))) 2) |
(+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))) |
(* 1/3 (cbrt x)) |
1/3 |
(cbrt x) |
(+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36)) |
(/ 55/648 (pow x 5/3)) |
55/648 |
(* (pow x -2/3) -5/36) |
-5/36 |
(/ 1 x) |
1 |
(- (+ (* (pow x -2/3) 1/36) (/ -5/216 (pow x 5/3))) (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36)))) |
| Outputs |
|---|
(/ (+ (/ -5/216 (pow x 5/3)) (+ (* (pow x -2/3) 1/36) (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))))) x) |
(/.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1/9 binary64)))) x) |
(+ (/ -5/216 (pow x 5/3)) (+ (* (pow x -2/3) 1/36) (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))))) |
(+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1/9 binary64)))) |
(/ -5/216 (pow x 5/3)) |
(/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) |
-5/216 |
#s(literal -5/216 binary64) |
(pow x 5/3) |
(pow.f64 x #s(literal 5/3 binary64)) |
x |
5/3 |
#s(literal 5/3 binary64) |
(+ (* (pow x -2/3) 1/36) (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36)))) |
(+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1/9 binary64))) |
(* (pow x -2/3) 1/36) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) |
(pow x -2/3) |
(pow.f64 x #s(literal -2/3 binary64)) |
-2/3 |
#s(literal -2/3 binary64) |
1/36 |
#s(literal 1/36 binary64) |
(+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))) |
(+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 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) |
(+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36)) |
(+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64))) |
(/ 55/648 (pow x 5/3)) |
(/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) |
55/648 |
#s(literal 55/648 binary64) |
(* (pow x -2/3) -5/36) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) |
-5/36 |
#s(literal -5/36 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) |
(- (pow (+ x 1) 1/3) (cbrt x)) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(pow (+ x 1) 1/3) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
x |
1 |
#s(literal 1 binary64) |
1/3 |
#s(literal 1/3 binary64) |
(cbrt x) |
(cbrt.f64 x) |
(+ (* 1/3 (cbrt (/ 1 (* x x)))) (* (cbrt (/ 1 (pow x 5))) -1/9)) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64))) |
(* 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 |
(* (cbrt (/ 1 (pow x 5))) -1/9) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64)) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
5 |
#s(literal 5 binary64) |
-1/9 |
#s(literal -1/9 binary64) |
(/ (* (- (pow (+ (* (pow x -2/3) 1/36) (/ -5/216 (pow x 5/3))) 2) (pow (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))) 2)) (/ 1 x)) (- (+ (* (pow x -2/3) 1/36) (/ -5/216 (pow x 5/3))) (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))))) |
(/.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1/9 binary64)))) x) |
(* (- (pow (+ (* (pow x -2/3) 1/36) (/ -5/216 (pow x 5/3))) 2) (pow (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))) 2)) (/ 1 x)) |
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) #s(literal 2 binary64))) x) |
(- (pow (+ (* (pow x -2/3) 1/36) (/ -5/216 (pow x 5/3))) 2) (pow (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))) 2)) |
(-.f64 (pow.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) #s(literal 2 binary64))) |
(pow (+ (* (pow x -2/3) 1/36) (/ -5/216 (pow x 5/3))) 2) |
(pow.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64))) #s(literal 2 binary64)) |
(+ (* (pow x -2/3) 1/36) (/ -5/216 (pow x 5/3))) |
(+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64))) |
(* (pow x -2/3) 1/36) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) |
(pow x -2/3) |
(pow.f64 x #s(literal -2/3 binary64)) |
x |
-2/3 |
#s(literal -2/3 binary64) |
1/36 |
#s(literal 1/36 binary64) |
(/ -5/216 (pow x 5/3)) |
(/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) |
-5/216 |
#s(literal -5/216 binary64) |
(pow x 5/3) |
(pow.f64 x #s(literal 5/3 binary64)) |
5/3 |
#s(literal 5/3 binary64) |
2 |
#s(literal 2 binary64) |
(pow (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))) 2) |
(pow.f64 (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) #s(literal 2 binary64)) |
(+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))) |
(+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 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) |
(+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36)) |
(+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64))) |
(/ 55/648 (pow x 5/3)) |
(/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) |
55/648 |
#s(literal 55/648 binary64) |
(* (pow x -2/3) -5/36) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) |
-5/36 |
#s(literal -5/36 binary64) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(- (+ (* (pow x -2/3) 1/36) (/ -5/216 (pow x 5/3))) (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36)))) |
(+.f64 (-.f64 (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/6 binary64)))) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.4% | (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) |
| ✓ | accuracy | 98.4% | (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) |
| ✓ | accuracy | 94.0% | (pow.f64 x #s(literal 5/3 binary64)) |
| ✓ | accuracy | 90.7% | (pow.f64 x #s(literal -2/3 binary64)) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | accuracy | 98.9% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 61.7% | (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
| ✓ | accuracy | 52.9% | (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 99.1% | (cbrt.f64 x) |
| ✓ | accuracy | 92.1% | (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 6.6% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (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 | 98.4% | (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) |
| ✓ | accuracy | 98.4% | (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) |
| ✓ | accuracy | 94.0% | (pow.f64 x #s(literal 5/3 binary64)) |
| ✓ | accuracy | 90.7% | (pow.f64 x #s(literal -2/3 binary64)) |
| 288.0ms | 150× | 1 | valid |
| 231.0ms | 100× | 2 | valid |
| 4.0ms | 6× | 0 | valid |
Compiled 522 to 49 computations (90.6% saved)
ival-pow: 126.0ms (34.2% of total)...c/correct-round.rkt:119:19: 79.0ms (21.5% of total)backward-pass: 44.0ms (12% of total)ival-mult: 41.0ms (11.1% of total)ival-div: 35.0ms (9.5% of total)ival-add: 18.0ms (4.9% of total)ival-cbrt: 17.0ms (4.6% of total)ival-sub: 8.0ms (2.2% of total)const: 1.0ms (0.3% of total)| Inputs |
|---|
#<alt (/ (+ (/ -5/216 (pow x 5/3)) (+ (* (pow x -2/3) 1/36) (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))))) x)> |
#<alt (+ (/ -5/216 (pow x 5/3)) (+ (* (pow x -2/3) 1/36) (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36)))))> |
#<alt (+ (* (pow x -2/3) 1/36) (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))))> |
#<alt (/ -5/216 (pow x 5/3))> |
#<alt (/ 1/3 (pow x 2/3))> |
#<alt (pow x 2/3)> |
#<alt (- (pow (+ x 1) 1/3) (cbrt x))> |
#<alt (pow (+ x 1) 1/3)> |
#<alt (+ x 1)> |
#<alt (cbrt x)> |
#<alt (+ (* 1/3 (cbrt (/ 1 (* x x)))) (* (cbrt (/ 1 (pow x 5))) -1/9))> |
#<alt (* 1/3 (cbrt (/ 1 (* x x))))> |
#<alt (cbrt (/ 1 (* x x)))> |
#<alt (/ 1 (* x x))> |
#<alt (/ (* (- (pow (+ (* (pow x -2/3) 1/36) (/ -5/216 (pow x 5/3))) 2) (pow (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))) 2)) (/ 1 x)) (- (+ (* (pow x -2/3) 1/36) (/ -5/216 (pow x 5/3))) (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36)))))> |
#<alt (- (+ (* (pow x -2/3) 1/36) (/ -5/216 (pow x 5/3))) (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))))> |
#<alt (* (- (pow (+ (* (pow x -2/3) 1/36) (/ -5/216 (pow x 5/3))) 2) (pow (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))) 2)) (/ 1 x))> |
#<alt (- (pow (+ (* (pow x -2/3) 1/36) (/ -5/216 (pow x 5/3))) 2) (pow (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))) 2))> |
#<alt (pow x -2/3)> |
#<alt (pow x 5/3)> |
#<alt (/ 55/648 (pow x 5/3))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (/ 1 (pow x 5))> |
| Outputs |
|---|
#<alt (/ (+ (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) (pow x 3))> |
#<alt (/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (* 1/36 (cbrt x)))))) (pow x 3))> |
#<alt (/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (+ (* 1/36 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 3))> |
#<alt (/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (+ (* 1/36 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 3))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* -5/216 (cbrt (/ 1 (pow x 8)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (+ (* 55/648 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))))> |
#<alt (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* -5/216 (cbrt (/ 1 (pow x 8)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (+ (* 55/648 (cbrt (/ 1 (pow x 8)))) (* 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))) (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (* 1/36 (cbrt (/ 1 (pow x 5))))))> |
#<alt (+ (* -1 (/ (+ (* -1 (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (* 1/36 (cbrt (/ 1 (pow x 2)))))) (+ (* -5/216 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))) (* 55/648 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))))) x)) (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))> |
#<alt (+ (* -1 (/ (+ (* -1 (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (* 1/36 (cbrt (/ 1 (pow x 2)))))) (+ (* -5/216 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))) (* 55/648 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))))) x)) (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))> |
#<alt (/ (+ (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) (pow x 2))> |
#<alt (/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (* 1/36 (cbrt x)))))) (pow x 2))> |
#<alt (/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (+ (* 1/36 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 2))> |
#<alt (/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (+ (* 1/36 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 2))> |
#<alt (* 1/3 (cbrt x))> |
#<alt (* x (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))> |
#<alt (* x (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* -5/216 (cbrt (/ 1 (pow x 8)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (+ (* 55/648 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))))> |
#<alt (* x (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* -5/216 (cbrt (/ 1 (pow x 8)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (+ (* 55/648 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))))> |
#<alt (* -1/3 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (* 1/36 (cbrt (/ 1 (pow x 2))))) x)) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -5/216 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* 55/648 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1))))) x)) (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (* 1/36 (cbrt (/ 1 (pow x 2)))))) x)) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -5/216 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* 55/648 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1))))) x)) (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (* 1/36 (cbrt (/ 1 (pow x 2)))))) x)) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))> |
#<alt (* 55/648 (cbrt (/ 1 (pow x 5))))> |
#<alt (/ (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (* 1/36 (cbrt x))))) (pow x 2))> |
#<alt (/ (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (+ (* 1/36 (cbrt x)) (* 1/3 (cbrt (pow x 4))))))) (pow x 2))> |
#<alt (/ (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (+ (* 1/36 (cbrt x)) (* 1/3 (cbrt (pow x 4))))))) (pow x 2))> |
#<alt (* 1/3 (cbrt x))> |
#<alt (* x (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))> |
#<alt (* x (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (+ (* 55/648 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))))> |
#<alt (* x (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (+ (* 55/648 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))))> |
#<alt (* -1/3 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (* 1/36 (cbrt (/ 1 (pow x 2))))) x)) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (+ (* -55/648 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))) (* 1/36 (cbrt (/ 1 (pow x 2)))))) x)) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (+ (* -55/648 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))) (* 1/36 (cbrt (/ 1 (pow x 2)))))) x)) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))> |
#<alt (* -5/216 (cbrt (/ 1 (pow x 5))))> |
#<alt (* -5/216 (cbrt (/ 1 (pow x 5))))> |
#<alt (* -5/216 (cbrt (/ 1 (pow x 5))))> |
#<alt (* -5/216 (cbrt (/ 1 (pow x 5))))> |
#<alt (* -5/216 (cbrt (/ 1 (pow x 5))))> |
#<alt (* -5/216 (cbrt (/ 1 (pow x 5))))> |
#<alt (* -5/216 (cbrt (/ 1 (pow x 5))))> |
#<alt (* -5/216 (cbrt (/ 1 (pow x 5))))> |
#<alt (* 5/216 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1))))> |
#<alt (* 5/216 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1))))> |
#<alt (* 5/216 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1))))> |
#<alt (* 5/216 (* (cbrt (/ 1 (pow x 5))) (/ 1 (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 (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 (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)))> |
#<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))))> |
#<alt (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 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 (* 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 (/ (- (* 25/46656 (cbrt (pow x 2))) (* 3025/419904 (cbrt (pow x 2)))) (* (pow x 3) (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))> |
#<alt (/ (- (+ (* 25/46656 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (* x (- (* -5/3888 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (+ (* -275/11664 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (/ (* (- (* 25/46656 (cbrt (pow x 2))) (* 3025/419904 (cbrt (pow x 2)))) (- (* 1/36 (cbrt x)) (* -5/36 (cbrt x)))) (pow (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) 2)))))) (* 3025/419904 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x))))))) (pow x 3))> |
#<alt (/ (- (+ (* 25/46656 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (* x (- (+ (* -5/3888 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (* x (- (* 1/1296 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (+ (* -1/3 (* (cbrt x) (/ (- (* 25/46656 (cbrt (pow x 2))) (* 3025/419904 (cbrt (pow x 2)))) (pow (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) 2)))) (+ (* 25/1296 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (+ (* 55/972 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (/ (* (- (* -5/3888 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (+ (* -275/11664 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (/ (* (- (* 25/46656 (cbrt (pow x 2))) (* 3025/419904 (cbrt (pow x 2)))) (- (* 1/36 (cbrt x)) (* -5/36 (cbrt x)))) (pow (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) 2)))) (- (* 1/36 (cbrt x)) (* -5/36 (cbrt x)))) (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))))))) (+ (* -275/11664 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (/ (* (- (* 25/46656 (cbrt (pow x 2))) (* 3025/419904 (cbrt (pow x 2)))) (- (* 1/36 (cbrt x)) (* -5/36 (cbrt x)))) (pow (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) 2)))))) (* 3025/419904 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x))))))) (pow x 3))> |
#<alt (/ (- (+ (* 25/46656 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (* x (- (+ (* -5/3888 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (* x (- (+ (* 1/1296 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (* x (- (* 5/54 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (+ (* -1/3 (* (cbrt x) (/ (- (* -5/3888 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (+ (* -275/11664 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (/ (* (- (* 25/46656 (cbrt (pow x 2))) (* 3025/419904 (cbrt (pow x 2)))) (- (* 1/36 (cbrt x)) (* -5/36 (cbrt x)))) (pow (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) 2)))) (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (/ (* (- (* 1/1296 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (+ (* -1/3 (* (cbrt x) (/ (- (* 25/46656 (cbrt (pow x 2))) (* 3025/419904 (cbrt (pow x 2)))) (pow (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) 2)))) (+ (* 25/1296 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (+ (* 55/972 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (/ (* (- (* -5/3888 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (+ (* -275/11664 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (/ (* (- (* 25/46656 (cbrt (pow x 2))) (* 3025/419904 (cbrt (pow x 2)))) (- (* 1/36 (cbrt x)) (* -5/36 (cbrt x)))) (pow (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) 2)))) (- (* 1/36 (cbrt x)) (* -5/36 (cbrt x)))) (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))))) (- (* 1/36 (cbrt x)) (* -5/36 (cbrt x)))) (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))))) (+ (* -1/3 (* (cbrt x) (/ (- (* 25/46656 (cbrt (pow x 2))) (* 3025/419904 (cbrt (pow x 2)))) (pow (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) 2)))) (+ (* 25/1296 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (+ (* 55/972 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (/ (* (- (* -5/3888 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (+ (* -275/11664 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (/ (* (- (* 25/46656 (cbrt (pow x 2))) (* 3025/419904 (cbrt (pow x 2)))) (- (* 1/36 (cbrt x)) (* -5/36 (cbrt x)))) (pow (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) 2)))) (- (* 1/36 (cbrt x)) (* -5/36 (cbrt x)))) (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))))))) (+ (* -275/11664 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (/ (* (- (* 25/46656 (cbrt (pow x 2))) (* 3025/419904 (cbrt (pow x 2)))) (- (* 1/36 (cbrt x)) (* -5/36 (cbrt x)))) (pow (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) 2)))))) (* 3025/419904 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x))))))) (pow x 3))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (- (+ (* -5/18 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) (* -1 (/ (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2))))) x)))> |
#<alt (- (+ (* -3 (* (cbrt (/ 1 (pow x 4))) (- (* 1/1296 (cbrt (/ 1 (pow x 4)))) (+ (* 25/1296 (cbrt (/ 1 (pow x 4)))) (* 55/972 (cbrt (/ 1 (pow x 4)))))))) (+ (* -5/18 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) (+ (* -3 (* (cbrt (/ 1 (pow x 4))) (* (- (* -5/18 (cbrt (/ 1 (pow x 2)))) (* -1 (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2))))))) (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2)))))))) (+ (* -1 (/ (- (* -5/216 (cbrt (/ 1 (pow x 2)))) (* 55/648 (cbrt (/ 1 (pow x 2))))) (pow x 2))) (* -1 (/ (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2))))) x)))))> |
#<alt (- (+ (* -3 (* (cbrt (/ 1 (pow x 4))) (- (* 1/1296 (cbrt (/ 1 (pow x 4)))) (+ (* 25/1296 (cbrt (/ 1 (pow x 4)))) (* 55/972 (cbrt (/ 1 (pow x 4)))))))) (+ (* -3 (* (cbrt (/ 1 (pow x 7))) (- (* -5/3888 (cbrt (/ 1 (pow x 4)))) (* -275/11664 (cbrt (/ 1 (pow x 4))))))) (+ (* -5/18 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))) (+ (* -3 (* (cbrt (/ 1 (pow x 4))) (* (- (* -5/18 (cbrt (/ 1 (pow x 2)))) (* -1 (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2))))))) (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2)))))))) (+ (* -3 (* (cbrt (/ 1 (pow x 7))) (* (- (* -3 (* (cbrt (pow x 2)) (- (* 1/1296 (cbrt (/ 1 (pow x 4)))) (+ (* 25/1296 (cbrt (/ 1 (pow x 4)))) (* 55/972 (cbrt (/ 1 (pow x 4)))))))) (+ (* -3 (* (cbrt (pow x 2)) (* (- (* -5/18 (cbrt (/ 1 (pow x 2)))) (* -1 (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2))))))) (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2)))))))) (* -1 (- (* -5/216 (cbrt (/ 1 (pow x 2)))) (* 55/648 (cbrt (/ 1 (pow x 2)))))))) (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2)))))))) (+ (* -3 (* (cbrt (/ 1 (pow x 7))) (* (- (* -5/18 (cbrt (/ 1 (pow x 2)))) (* -1 (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2))))))) (- (* -5/216 (cbrt (/ 1 (pow x 2)))) (* 55/648 (cbrt (/ 1 (pow x 2)))))))) (+ (* -1 (/ (- (* -5/216 (cbrt (/ 1 (pow x 2)))) (* 55/648 (cbrt (/ 1 (pow x 2))))) (pow x 2))) (* -1 (/ (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2))))) x)))))))> |
#<alt (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))> |
#<alt (- (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/18 (cbrt (/ 1 (pow x 5))))) (* -1 (/ (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2))))) x)))> |
#<alt (+ (* -1 (/ (- (+ (* -3 (* (cbrt (/ 1 x)) (/ (- (* 1/1296 (cbrt (/ 1 (pow x 4)))) (+ (* 25/1296 (cbrt (/ 1 (pow x 4)))) (* 55/972 (cbrt (/ 1 (pow x 4)))))) (cbrt -1)))) (* -1 (- (* -5/18 (cbrt (/ 1 (pow x 2)))) (* -1 (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2))))))))) (+ (* -3 (* (cbrt (/ 1 x)) (/ (* (- (* -5/18 (cbrt (/ 1 (pow x 2)))) (* -1 (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2))))))) (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2)))))) (cbrt -1)))) (* -1 (/ (- (* -5/216 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* 55/648 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1))))) x)))) x)) (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))> |
#<alt (+ (* -1 (/ (+ (* -1 (- (* -5/18 (cbrt (/ 1 (pow x 2)))) (* -1 (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2)))))))) (* -1 (/ (- (+ (* -3 (* (cbrt (/ 1 x)) (/ (- (* -5/3888 (* (cbrt (/ 1 (pow x 4))) (/ 1 (cbrt -1)))) (* -275/11664 (* (cbrt (/ 1 (pow x 4))) (/ 1 (cbrt -1))))) (cbrt -1)))) (* -1 (- (* -3 (* (cbrt (pow x 2)) (/ (- (* 1/1296 (cbrt (/ 1 (pow x 4)))) (+ (* 25/1296 (cbrt (/ 1 (pow x 4)))) (* 55/972 (cbrt (/ 1 (pow x 4)))))) (cbrt -1)))) (+ (* -3 (* (cbrt (pow x 2)) (/ (* (- (* -5/18 (cbrt (/ 1 (pow x 2)))) (* -1 (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2))))))) (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2)))))) (cbrt -1)))) (* -1 (- (* -5/216 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* 55/648 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))))))))) (+ (* -3 (* (cbrt (/ 1 x)) (/ (* (- (* -3 (* (cbrt (pow x 2)) (/ (- (* 1/1296 (cbrt (/ 1 (pow x 4)))) (+ (* 25/1296 (cbrt (/ 1 (pow x 4)))) (* 55/972 (cbrt (/ 1 (pow x 4)))))) (cbrt -1)))) (+ (* -3 (* (cbrt (pow x 2)) (/ (* (- (* -5/18 (cbrt (/ 1 (pow x 2)))) (* -1 (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2))))))) (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2)))))) (cbrt -1)))) (* -1 (- (* -5/216 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* 55/648 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))))))) (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2)))))) (cbrt -1)))) (* -3 (* (cbrt (/ 1 x)) (/ (* (- (* -5/18 (cbrt (/ 1 (pow x 2)))) (* -1 (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2))))))) (- (* -5/216 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* 55/648 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))))) (cbrt -1)))))) x))) x)) (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))> |
#<alt (/ (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) (pow x 2))> |
#<alt (/ (- (+ (* -5/216 (cbrt x)) (* x (- (* 1/36 (cbrt x)) (* -5/36 (cbrt x))))) (* 55/648 (cbrt x))) (pow x 2))> |
#<alt (/ (- (+ (* -5/216 (cbrt x)) (* x (- (+ (* -1/3 (cbrt (pow x 4))) (* 1/36 (cbrt x))) (* -5/36 (cbrt x))))) (* 55/648 (cbrt x))) (pow x 2))> |
#<alt (/ (- (+ (* -5/216 (cbrt x)) (* x (- (+ (* -1/3 (cbrt (pow x 4))) (* 1/36 (cbrt x))) (* -5/36 (cbrt x))))) (* 55/648 (cbrt x))) (pow x 2))> |
#<alt (* -1/3 (cbrt x))> |
#<alt (* x (- (* 1/36 (cbrt (/ 1 (pow x 5)))) (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))> |
#<alt (* x (- (+ (* -5/216 (cbrt (/ 1 (pow x 8)))) (* 1/36 (cbrt (/ 1 (pow x 5))))) (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* 55/648 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))))> |
#<alt (* x (- (+ (* -5/216 (cbrt (/ 1 (pow x 8)))) (* 1/36 (cbrt (/ 1 (pow x 5))))) (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* 55/648 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))))> |
#<alt (* 1/3 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2))))) x)) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* -5/216 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* 55/648 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1))))) x)) (* 1/36 (cbrt (/ 1 (pow x 2))))) (* -5/36 (cbrt (/ 1 (pow x 2))))) x)) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* -5/216 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* 55/648 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1))))) x)) (* 1/36 (cbrt (/ 1 (pow x 2))))) (* -5/36 (cbrt (/ 1 (pow x 2))))) x)) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))> |
#<alt (/ (- (* 25/46656 (cbrt (pow x 2))) (* 3025/419904 (cbrt (pow x 2)))) (pow x 5))> |
#<alt (/ (- (+ (* 25/46656 (cbrt (pow x 2))) (* x (- (* -5/3888 (cbrt (pow x 2))) (* -275/11664 (cbrt (pow x 2)))))) (* 3025/419904 (cbrt (pow x 2)))) (pow x 5))> |
#<alt (/ (- (+ (* 25/46656 (cbrt (pow x 2))) (* x (- (+ (* -5/3888 (cbrt (pow x 2))) (* x (- (* 1/1296 (cbrt (pow x 2))) (+ (* 25/1296 (cbrt (pow x 2))) (* 55/972 (cbrt (pow x 2))))))) (* -275/11664 (cbrt (pow x 2)))))) (* 3025/419904 (cbrt (pow x 2)))) (pow x 5))> |
#<alt (/ (- (+ (* 25/46656 (cbrt (pow x 2))) (* x (- (+ (* -5/3888 (cbrt (pow x 2))) (* x (- (+ (* 1/1296 (cbrt (pow x 2))) (* 5/54 (cbrt (pow x 5)))) (+ (* 25/1296 (cbrt (pow x 2))) (* 55/972 (cbrt (pow x 2))))))) (* -275/11664 (cbrt (pow x 2)))))) (* 3025/419904 (cbrt (pow x 2)))) (pow x 5))> |
#<alt (* -1/9 (cbrt (/ 1 x)))> |
#<alt (* x (+ (* -1/9 (cbrt (/ 1 (pow x 4)))) (* 5/54 (cbrt (/ 1 (pow x 7))))))> |
#<alt (* x (- (+ (* -1/9 (cbrt (/ 1 (pow x 4)))) (+ (* 1/1296 (cbrt (/ 1 (pow x 10)))) (* 5/54 (cbrt (/ 1 (pow x 7)))))) (+ (* 25/1296 (cbrt (/ 1 (pow x 10)))) (* 55/972 (cbrt (/ 1 (pow x 10)))))))> |
#<alt (* x (- (+ (* -1/9 (cbrt (/ 1 (pow x 4)))) (+ (* -5/3888 (cbrt (/ 1 (pow x 13)))) (+ (* 1/1296 (cbrt (/ 1 (pow x 10)))) (* 5/54 (cbrt (/ 1 (pow x 7))))))) (+ (* -275/11664 (cbrt (/ 1 (pow x 13)))) (+ (* 25/1296 (cbrt (/ 1 (pow x 10)))) (* 55/972 (cbrt (/ 1 (pow x 10))))))))> |
#<alt (* -1/9 (* (cbrt (/ 1 x)) (pow (cbrt -1) 2)))> |
#<alt (* -1 (* x (+ (* 5/54 (* (cbrt (/ 1 (pow x 7))) (cbrt -1))) (* 1/9 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (- (+ (* -5/54 (* (cbrt (/ 1 (pow x 4))) (cbrt -1))) (* 1/1296 (cbrt (/ 1 (pow x 7))))) (+ (* 25/1296 (cbrt (/ 1 (pow x 7)))) (* 55/972 (cbrt (/ 1 (pow x 7)))))) x)) (* 1/9 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* 1/1296 (cbrt (/ 1 (pow x 4)))) (+ (* 25/1296 (cbrt (/ 1 (pow x 4)))) (* 55/972 (cbrt (/ 1 (pow x 4))))))) (* -5/3888 (* (cbrt (/ 1 (pow x 7))) (/ 1 (cbrt -1))))) (* -275/11664 (* (cbrt (/ 1 (pow x 7))) (/ 1 (cbrt -1))))) x)) (* -5/54 (* (cbrt (/ 1 (pow x 4))) (cbrt -1)))) x)) (* 1/9 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2))))))> |
#<alt (/ (- (* 25/46656 (cbrt (pow x 2))) (* 3025/419904 (cbrt (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ (* 25/46656 (cbrt (pow x 2))) (* x (- (* -5/3888 (cbrt (pow x 2))) (* -275/11664 (cbrt (pow x 2)))))) (* 3025/419904 (cbrt (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ (* 25/46656 (cbrt (pow x 2))) (* x (- (+ (* -5/3888 (cbrt (pow x 2))) (* x (- (* 1/1296 (cbrt (pow x 2))) (+ (* 25/1296 (cbrt (pow x 2))) (* 55/972 (cbrt (pow x 2))))))) (* -275/11664 (cbrt (pow x 2)))))) (* 3025/419904 (cbrt (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ (* 25/46656 (cbrt (pow x 2))) (* x (- (+ (* -5/3888 (cbrt (pow x 2))) (* x (- (+ (* 1/1296 (cbrt (pow x 2))) (* 5/54 (cbrt (pow x 5)))) (+ (* 25/1296 (cbrt (pow x 2))) (* 55/972 (cbrt (pow x 2))))))) (* -275/11664 (cbrt (pow x 2)))))) (* 3025/419904 (cbrt (pow x 2)))) (pow x 4))> |
#<alt (* -1/9 (cbrt (pow x 2)))> |
#<alt (* (pow x 2) (- (* 5/54 (cbrt (/ 1 (pow x 7)))) (* 1/9 (cbrt (/ 1 (pow x 4))))))> |
#<alt (* (pow x 2) (- (* 1/1296 (cbrt (/ 1 (pow x 10)))) (+ (* -5/54 (cbrt (/ 1 (pow x 7)))) (+ (* 25/1296 (cbrt (/ 1 (pow x 10)))) (+ (* 55/972 (cbrt (/ 1 (pow x 10)))) (* 1/9 (cbrt (/ 1 (pow x 4)))))))))> |
#<alt (* (pow x 2) (- (+ (* -5/3888 (cbrt (/ 1 (pow x 13)))) (* 1/1296 (cbrt (/ 1 (pow x 10))))) (+ (* -5/54 (cbrt (/ 1 (pow x 7)))) (+ (* -275/11664 (cbrt (/ 1 (pow x 13)))) (+ (* 25/1296 (cbrt (/ 1 (pow x 10)))) (+ (* 55/972 (cbrt (/ 1 (pow x 10)))) (* 1/9 (cbrt (/ 1 (pow x 4))))))))))> |
#<alt (* -1/9 (* (cbrt (pow x 2)) (pow (cbrt -1) 2)))> |
#<alt (* (pow x 2) (- (* -5/54 (* (cbrt (/ 1 (pow x 7))) (cbrt -1))) (* 1/9 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2)))))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/1296 (cbrt (/ 1 (pow x 4)))) (+ (* 25/1296 (cbrt (/ 1 (pow x 4)))) (* 55/972 (cbrt (/ 1 (pow x 4)))))) x)) (* -5/54 (* (cbrt (/ 1 (pow x 4))) (cbrt -1)))) x)) (* 1/9 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2)))))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -5/3888 (* (cbrt (/ 1 (pow x 4))) (/ 1 (cbrt -1)))) (* -275/11664 (* (cbrt (/ 1 (pow x 4))) (/ 1 (cbrt -1))))) x)) (* 1/1296 (cbrt (/ 1 (pow x 4))))) (+ (* 25/1296 (cbrt (/ 1 (pow x 4)))) (* 55/972 (cbrt (/ 1 (pow x 4)))))) x)) (* -5/54 (* (cbrt (/ 1 (pow x 4))) (cbrt -1)))) x)) (* 1/9 (* (cbrt (/ 1 (pow x 4))) (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)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (pow x 5))> |
#<alt (cbrt (pow x 5))> |
#<alt (cbrt (pow x 5))> |
#<alt (cbrt (pow x 5))> |
#<alt (cbrt (pow x 5))> |
#<alt (cbrt (pow x 5))> |
#<alt (cbrt (pow x 5))> |
#<alt (cbrt (pow x 5))> |
#<alt (* (cbrt (pow x 5)) (pow (cbrt -1) 2))> |
#<alt (* (cbrt (pow x 5)) (pow (cbrt -1) 2))> |
#<alt (* (cbrt (pow x 5)) (pow (cbrt -1) 2))> |
#<alt (* (cbrt (pow x 5)) (pow (cbrt -1) 2))> |
#<alt (* 55/648 (cbrt (/ 1 (pow x 5))))> |
#<alt (* 55/648 (cbrt (/ 1 (pow x 5))))> |
#<alt (* 55/648 (cbrt (/ 1 (pow x 5))))> |
#<alt (* 55/648 (cbrt (/ 1 (pow x 5))))> |
#<alt (* 55/648 (cbrt (/ 1 (pow x 5))))> |
#<alt (* 55/648 (cbrt (/ 1 (pow x 5))))> |
#<alt (* 55/648 (cbrt (/ 1 (pow x 5))))> |
#<alt (* 55/648 (cbrt (/ 1 (pow x 5))))> |
#<alt (* -55/648 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1))))> |
#<alt (* -55/648 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1))))> |
#<alt (* -55/648 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1))))> |
#<alt (* -55/648 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1))))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))> |
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))> |
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))> |
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (pow x 2/3) |
| 4.0ms | x | @ | -inf | (/ (* (- (pow (+ (* (pow x -2/3) 1/36) (/ -5/216 (pow x 5/3))) 2) (pow (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))) 2)) (/ 1 x)) (- (+ (* (pow x -2/3) 1/36) (/ -5/216 (pow x 5/3))) (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))))) |
| 3.0ms | x | @ | 0 | (/ (* (- (pow (+ (* (pow x -2/3) 1/36) (/ -5/216 (pow x 5/3))) 2) (pow (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))) 2)) (/ 1 x)) (- (+ (* (pow x -2/3) 1/36) (/ -5/216 (pow x 5/3))) (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))))) |
| 3.0ms | x | @ | inf | (/ (* (- (pow (+ (* (pow x -2/3) 1/36) (/ -5/216 (pow x 5/3))) 2) (pow (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))) 2)) (/ 1 x)) (- (+ (* (pow x -2/3) 1/36) (/ -5/216 (pow x 5/3))) (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))))) |
| 2.0ms | x | @ | -inf | (- (pow (+ (* (pow x -2/3) 1/36) (/ -5/216 (pow x 5/3))) 2) (pow (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))) 2)) |
| 1× | batch-egg-rewrite |
| 3110× | *-lowering-*.f32 |
| 3110× | *-lowering-*.f64 |
| 2462× | fma-lowering-fma.f32 |
| 2462× | fma-lowering-fma.f64 |
| 1802× | pow-lowering-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 328 |
| 1 | 314 | 276 |
| 2 | 3026 | 276 |
| 0 | 8275 | 242 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (/ -5/216 (pow x 5/3)) (+ (* (pow x -2/3) 1/36) (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))))) x) |
(+ (/ -5/216 (pow x 5/3)) (+ (* (pow x -2/3) 1/36) (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))))) |
(+ (* (pow x -2/3) 1/36) (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36)))) |
(/ -5/216 (pow x 5/3)) |
(/ 1/3 (pow x 2/3)) |
(pow x 2/3) |
(- (pow (+ x 1) 1/3) (cbrt x)) |
(pow (+ x 1) 1/3) |
(+ x 1) |
(cbrt x) |
(+ (* 1/3 (cbrt (/ 1 (* x x)))) (* (cbrt (/ 1 (pow x 5))) -1/9)) |
(* 1/3 (cbrt (/ 1 (* x x)))) |
(cbrt (/ 1 (* x x))) |
(/ 1 (* x x)) |
(/ (* (- (pow (+ (* (pow x -2/3) 1/36) (/ -5/216 (pow x 5/3))) 2) (pow (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))) 2)) (/ 1 x)) (- (+ (* (pow x -2/3) 1/36) (/ -5/216 (pow x 5/3))) (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))))) |
(- (+ (* (pow x -2/3) 1/36) (/ -5/216 (pow x 5/3))) (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36)))) |
(* (- (pow (+ (* (pow x -2/3) 1/36) (/ -5/216 (pow x 5/3))) 2) (pow (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))) 2)) (/ 1 x)) |
(- (pow (+ (* (pow x -2/3) 1/36) (/ -5/216 (pow x 5/3))) 2) (pow (+ (* 1/3 (cbrt x)) (+ (/ 55/648 (pow x 5/3)) (* (pow x -2/3) -5/36))) 2)) |
(pow x -2/3) |
(pow x 5/3) |
(/ 55/648 (pow x 5/3)) |
(cbrt (/ 1 (pow x 5))) |
(/ 1 (pow x 5)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))) #s(literal 2 binary64))) x) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))))))))) |
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))))) (-.f64 #s(literal 0 binary64) x))) |
(neg.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) x)) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))))))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))))))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))) #s(literal 2 binary64))) (*.f64 x (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))))))) |
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(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))) #s(literal 2 binary64))) x) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))))))) |
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(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -5/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -5/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -5/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -5/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -5/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -5/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1 binary64)) #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -5 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 5 binary64) (log.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 #s(literal -5 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -5/3 binary64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (neg.f64 (*.f64 #s(literal 5/3 binary64) (log.f64 x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal 3 binary64)) #s(literal -5 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(/.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) |
(pow.f64 x #s(literal -5 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal -3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -15 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -5/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -5 binary64)) |
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -5 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(*.f64 (pow.f64 x #s(literal -5/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -5 binary64))) |
(*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -5/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -5/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -5/6 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -5 binary64)) (pow.f64 x #s(literal -5/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -5 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -5 binary64))) |
| 1× | egg-herbie |
| 4828× | *-lowering-*.f32 |
| 4828× | *-lowering-*.f64 |
| 3196× | +-lowering-+.f64 |
| 3196× | +-lowering-+.f32 |
| 1546× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 586 | 4676 |
| 1 | 1947 | 3868 |
| 2 | 7437 | 3868 |
| 0 | 8177 | 3868 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) (pow x 3)) |
(/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (* 1/36 (cbrt x)))))) (pow x 3)) |
(/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (+ (* 1/36 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 3)) |
(/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (+ (* 1/36 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 3)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* -5/216 (cbrt (/ 1 (pow x 8)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (+ (* 55/648 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))) |
(+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* -5/216 (cbrt (/ 1 (pow x 8)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (+ (* 55/648 (cbrt (/ 1 (pow x 8)))) (* 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))) (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (* 1/36 (cbrt (/ 1 (pow x 5)))))) |
(+ (* -1 (/ (+ (* -1 (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (* 1/36 (cbrt (/ 1 (pow x 2)))))) (+ (* -5/216 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))) (* 55/648 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))))) x)) (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))) |
(+ (* -1 (/ (+ (* -1 (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (* 1/36 (cbrt (/ 1 (pow x 2)))))) (+ (* -5/216 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))) (* 55/648 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))))) x)) (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))) |
(/ (+ (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) (pow x 2)) |
(/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (* 1/36 (cbrt x)))))) (pow x 2)) |
(/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (+ (* 1/36 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 2)) |
(/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (+ (* 1/36 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 2)) |
(* 1/3 (cbrt x)) |
(* x (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))) |
(* x (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* -5/216 (cbrt (/ 1 (pow x 8)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (+ (* 55/648 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))))) |
(* x (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* -5/216 (cbrt (/ 1 (pow x 8)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (+ (* 55/648 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))))) |
(* -1/3 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* -1 (/ (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (* 1/36 (cbrt (/ 1 (pow x 2))))) x)) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -5/216 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* 55/648 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1))))) x)) (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (* 1/36 (cbrt (/ 1 (pow x 2)))))) x)) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -5/216 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* 55/648 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1))))) x)) (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (* 1/36 (cbrt (/ 1 (pow x 2)))))) x)) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* 55/648 (cbrt (/ 1 (pow x 5)))) |
(/ (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (* 1/36 (cbrt x))))) (pow x 2)) |
(/ (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (+ (* 1/36 (cbrt x)) (* 1/3 (cbrt (pow x 4))))))) (pow x 2)) |
(/ (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (+ (* 1/36 (cbrt x)) (* 1/3 (cbrt (pow x 4))))))) (pow x 2)) |
(* 1/3 (cbrt x)) |
(* x (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))) |
(* x (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (+ (* 55/648 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))) |
(* x (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (+ (* 55/648 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))) |
(* -1/3 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* -1 (/ (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (* 1/36 (cbrt (/ 1 (pow x 2))))) x)) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (+ (* -55/648 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))) (* 1/36 (cbrt (/ 1 (pow x 2)))))) x)) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (+ (* -55/648 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))) (* 1/36 (cbrt (/ 1 (pow x 2)))))) x)) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* -5/216 (cbrt (/ 1 (pow x 5)))) |
(* -5/216 (cbrt (/ 1 (pow x 5)))) |
(* -5/216 (cbrt (/ 1 (pow x 5)))) |
(* -5/216 (cbrt (/ 1 (pow x 5)))) |
(* -5/216 (cbrt (/ 1 (pow x 5)))) |
(* -5/216 (cbrt (/ 1 (pow x 5)))) |
(* -5/216 (cbrt (/ 1 (pow x 5)))) |
(* -5/216 (cbrt (/ 1 (pow x 5)))) |
(* 5/216 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))) |
(* 5/216 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))) |
(* 5/216 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))) |
(* 5/216 (* (cbrt (/ 1 (pow x 5))) (/ 1 (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 (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 (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))) |
(* -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)))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (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)))) |
(* 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)) |
(/ (- (* 25/46656 (cbrt (pow x 2))) (* 3025/419904 (cbrt (pow x 2)))) (* (pow x 3) (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x))))) |
(/ (- (+ (* 25/46656 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (* x (- (* -5/3888 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (+ (* -275/11664 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (/ (* (- (* 25/46656 (cbrt (pow x 2))) (* 3025/419904 (cbrt (pow x 2)))) (- (* 1/36 (cbrt x)) (* -5/36 (cbrt x)))) (pow (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) 2)))))) (* 3025/419904 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x))))))) (pow x 3)) |
(/ (- (+ (* 25/46656 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (* x (- (+ (* -5/3888 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (* x (- (* 1/1296 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (+ (* -1/3 (* (cbrt x) (/ (- (* 25/46656 (cbrt (pow x 2))) (* 3025/419904 (cbrt (pow x 2)))) (pow (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) 2)))) (+ (* 25/1296 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (+ (* 55/972 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (/ (* (- (* -5/3888 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (+ (* -275/11664 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (/ (* (- (* 25/46656 (cbrt (pow x 2))) (* 3025/419904 (cbrt (pow x 2)))) (- (* 1/36 (cbrt x)) (* -5/36 (cbrt x)))) (pow (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) 2)))) (- (* 1/36 (cbrt x)) (* -5/36 (cbrt x)))) (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))))))) (+ (* -275/11664 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (/ (* (- (* 25/46656 (cbrt (pow x 2))) (* 3025/419904 (cbrt (pow x 2)))) (- (* 1/36 (cbrt x)) (* -5/36 (cbrt x)))) (pow (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) 2)))))) (* 3025/419904 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x))))))) (pow x 3)) |
(/ (- (+ (* 25/46656 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (* x (- (+ (* -5/3888 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (* x (- (+ (* 1/1296 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (* x (- (* 5/54 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (+ (* -1/3 (* (cbrt x) (/ (- (* -5/3888 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (+ (* -275/11664 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (/ (* (- (* 25/46656 (cbrt (pow x 2))) (* 3025/419904 (cbrt (pow x 2)))) (- (* 1/36 (cbrt x)) (* -5/36 (cbrt x)))) (pow (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) 2)))) (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (/ (* (- (* 1/1296 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (+ (* -1/3 (* (cbrt x) (/ (- (* 25/46656 (cbrt (pow x 2))) (* 3025/419904 (cbrt (pow x 2)))) (pow (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) 2)))) (+ (* 25/1296 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (+ (* 55/972 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (/ (* (- (* -5/3888 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (+ (* -275/11664 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (/ (* (- (* 25/46656 (cbrt (pow x 2))) (* 3025/419904 (cbrt (pow x 2)))) (- (* 1/36 (cbrt x)) (* -5/36 (cbrt x)))) (pow (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) 2)))) (- (* 1/36 (cbrt x)) (* -5/36 (cbrt x)))) (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))))) (- (* 1/36 (cbrt x)) (* -5/36 (cbrt x)))) (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))))) (+ (* -1/3 (* (cbrt x) (/ (- (* 25/46656 (cbrt (pow x 2))) (* 3025/419904 (cbrt (pow x 2)))) (pow (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) 2)))) (+ (* 25/1296 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (+ (* 55/972 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (/ (* (- (* -5/3888 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (+ (* -275/11664 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (/ (* (- (* 25/46656 (cbrt (pow x 2))) (* 3025/419904 (cbrt (pow x 2)))) (- (* 1/36 (cbrt x)) (* -5/36 (cbrt x)))) (pow (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) 2)))) (- (* 1/36 (cbrt x)) (* -5/36 (cbrt x)))) (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))))))) (+ (* -275/11664 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x)))))) (/ (* (- (* 25/46656 (cbrt (pow x 2))) (* 3025/419904 (cbrt (pow x 2)))) (- (* 1/36 (cbrt x)) (* -5/36 (cbrt x)))) (pow (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) 2)))))) (* 3025/419904 (* (cbrt (pow x 2)) (/ 1 (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x))))))) (pow x 3)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(- (+ (* -5/18 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) (* -1 (/ (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2))))) x))) |
(- (+ (* -3 (* (cbrt (/ 1 (pow x 4))) (- (* 1/1296 (cbrt (/ 1 (pow x 4)))) (+ (* 25/1296 (cbrt (/ 1 (pow x 4)))) (* 55/972 (cbrt (/ 1 (pow x 4)))))))) (+ (* -5/18 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) (+ (* -3 (* (cbrt (/ 1 (pow x 4))) (* (- (* -5/18 (cbrt (/ 1 (pow x 2)))) (* -1 (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2))))))) (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2)))))))) (+ (* -1 (/ (- (* -5/216 (cbrt (/ 1 (pow x 2)))) (* 55/648 (cbrt (/ 1 (pow x 2))))) (pow x 2))) (* -1 (/ (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2))))) x))))) |
(- (+ (* -3 (* (cbrt (/ 1 (pow x 4))) (- (* 1/1296 (cbrt (/ 1 (pow x 4)))) (+ (* 25/1296 (cbrt (/ 1 (pow x 4)))) (* 55/972 (cbrt (/ 1 (pow x 4)))))))) (+ (* -3 (* (cbrt (/ 1 (pow x 7))) (- (* -5/3888 (cbrt (/ 1 (pow x 4)))) (* -275/11664 (cbrt (/ 1 (pow x 4))))))) (+ (* -5/18 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))) (+ (* -3 (* (cbrt (/ 1 (pow x 4))) (* (- (* -5/18 (cbrt (/ 1 (pow x 2)))) (* -1 (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2))))))) (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2)))))))) (+ (* -3 (* (cbrt (/ 1 (pow x 7))) (* (- (* -3 (* (cbrt (pow x 2)) (- (* 1/1296 (cbrt (/ 1 (pow x 4)))) (+ (* 25/1296 (cbrt (/ 1 (pow x 4)))) (* 55/972 (cbrt (/ 1 (pow x 4)))))))) (+ (* -3 (* (cbrt (pow x 2)) (* (- (* -5/18 (cbrt (/ 1 (pow x 2)))) (* -1 (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2))))))) (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2)))))))) (* -1 (- (* -5/216 (cbrt (/ 1 (pow x 2)))) (* 55/648 (cbrt (/ 1 (pow x 2)))))))) (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2)))))))) (+ (* -3 (* (cbrt (/ 1 (pow x 7))) (* (- (* -5/18 (cbrt (/ 1 (pow x 2)))) (* -1 (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2))))))) (- (* -5/216 (cbrt (/ 1 (pow x 2)))) (* 55/648 (cbrt (/ 1 (pow x 2)))))))) (+ (* -1 (/ (- (* -5/216 (cbrt (/ 1 (pow x 2)))) (* 55/648 (cbrt (/ 1 (pow x 2))))) (pow x 2))) (* -1 (/ (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2))))) x))))))) |
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) |
(- (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/18 (cbrt (/ 1 (pow x 5))))) (* -1 (/ (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2))))) x))) |
(+ (* -1 (/ (- (+ (* -3 (* (cbrt (/ 1 x)) (/ (- (* 1/1296 (cbrt (/ 1 (pow x 4)))) (+ (* 25/1296 (cbrt (/ 1 (pow x 4)))) (* 55/972 (cbrt (/ 1 (pow x 4)))))) (cbrt -1)))) (* -1 (- (* -5/18 (cbrt (/ 1 (pow x 2)))) (* -1 (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2))))))))) (+ (* -3 (* (cbrt (/ 1 x)) (/ (* (- (* -5/18 (cbrt (/ 1 (pow x 2)))) (* -1 (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2))))))) (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2)))))) (cbrt -1)))) (* -1 (/ (- (* -5/216 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* 55/648 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1))))) x)))) x)) (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))) |
(+ (* -1 (/ (+ (* -1 (- (* -5/18 (cbrt (/ 1 (pow x 2)))) (* -1 (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2)))))))) (* -1 (/ (- (+ (* -3 (* (cbrt (/ 1 x)) (/ (- (* -5/3888 (* (cbrt (/ 1 (pow x 4))) (/ 1 (cbrt -1)))) (* -275/11664 (* (cbrt (/ 1 (pow x 4))) (/ 1 (cbrt -1))))) (cbrt -1)))) (* -1 (- (* -3 (* (cbrt (pow x 2)) (/ (- (* 1/1296 (cbrt (/ 1 (pow x 4)))) (+ (* 25/1296 (cbrt (/ 1 (pow x 4)))) (* 55/972 (cbrt (/ 1 (pow x 4)))))) (cbrt -1)))) (+ (* -3 (* (cbrt (pow x 2)) (/ (* (- (* -5/18 (cbrt (/ 1 (pow x 2)))) (* -1 (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2))))))) (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2)))))) (cbrt -1)))) (* -1 (- (* -5/216 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* 55/648 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))))))))) (+ (* -3 (* (cbrt (/ 1 x)) (/ (* (- (* -3 (* (cbrt (pow x 2)) (/ (- (* 1/1296 (cbrt (/ 1 (pow x 4)))) (+ (* 25/1296 (cbrt (/ 1 (pow x 4)))) (* 55/972 (cbrt (/ 1 (pow x 4)))))) (cbrt -1)))) (+ (* -3 (* (cbrt (pow x 2)) (/ (* (- (* -5/18 (cbrt (/ 1 (pow x 2)))) (* -1 (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2))))))) (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2)))))) (cbrt -1)))) (* -1 (- (* -5/216 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* 55/648 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))))))) (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2)))))) (cbrt -1)))) (* -3 (* (cbrt (/ 1 x)) (/ (* (- (* -5/18 (cbrt (/ 1 (pow x 2)))) (* -1 (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2))))))) (- (* -5/216 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* 55/648 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))))) (cbrt -1)))))) x))) x)) (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))) |
(/ (- (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) (pow x 2)) |
(/ (- (+ (* -5/216 (cbrt x)) (* x (- (* 1/36 (cbrt x)) (* -5/36 (cbrt x))))) (* 55/648 (cbrt x))) (pow x 2)) |
(/ (- (+ (* -5/216 (cbrt x)) (* x (- (+ (* -1/3 (cbrt (pow x 4))) (* 1/36 (cbrt x))) (* -5/36 (cbrt x))))) (* 55/648 (cbrt x))) (pow x 2)) |
(/ (- (+ (* -5/216 (cbrt x)) (* x (- (+ (* -1/3 (cbrt (pow x 4))) (* 1/36 (cbrt x))) (* -5/36 (cbrt x))))) (* 55/648 (cbrt x))) (pow x 2)) |
(* -1/3 (cbrt x)) |
(* x (- (* 1/36 (cbrt (/ 1 (pow x 5)))) (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))) |
(* x (- (+ (* -5/216 (cbrt (/ 1 (pow x 8)))) (* 1/36 (cbrt (/ 1 (pow x 5))))) (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* 55/648 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))) |
(* x (- (+ (* -5/216 (cbrt (/ 1 (pow x 8)))) (* 1/36 (cbrt (/ 1 (pow x 5))))) (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* 55/648 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))) |
(* 1/3 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/36 (cbrt (/ 1 (pow x 2)))) (* -5/36 (cbrt (/ 1 (pow x 2))))) x)) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* -5/216 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* 55/648 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1))))) x)) (* 1/36 (cbrt (/ 1 (pow x 2))))) (* -5/36 (cbrt (/ 1 (pow x 2))))) x)) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* -5/216 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* 55/648 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1))))) x)) (* 1/36 (cbrt (/ 1 (pow x 2))))) (* -5/36 (cbrt (/ 1 (pow x 2))))) x)) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(/ (- (* 25/46656 (cbrt (pow x 2))) (* 3025/419904 (cbrt (pow x 2)))) (pow x 5)) |
(/ (- (+ (* 25/46656 (cbrt (pow x 2))) (* x (- (* -5/3888 (cbrt (pow x 2))) (* -275/11664 (cbrt (pow x 2)))))) (* 3025/419904 (cbrt (pow x 2)))) (pow x 5)) |
(/ (- (+ (* 25/46656 (cbrt (pow x 2))) (* x (- (+ (* -5/3888 (cbrt (pow x 2))) (* x (- (* 1/1296 (cbrt (pow x 2))) (+ (* 25/1296 (cbrt (pow x 2))) (* 55/972 (cbrt (pow x 2))))))) (* -275/11664 (cbrt (pow x 2)))))) (* 3025/419904 (cbrt (pow x 2)))) (pow x 5)) |
(/ (- (+ (* 25/46656 (cbrt (pow x 2))) (* x (- (+ (* -5/3888 (cbrt (pow x 2))) (* x (- (+ (* 1/1296 (cbrt (pow x 2))) (* 5/54 (cbrt (pow x 5)))) (+ (* 25/1296 (cbrt (pow x 2))) (* 55/972 (cbrt (pow x 2))))))) (* -275/11664 (cbrt (pow x 2)))))) (* 3025/419904 (cbrt (pow x 2)))) (pow x 5)) |
(* -1/9 (cbrt (/ 1 x))) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 4)))) (* 5/54 (cbrt (/ 1 (pow x 7)))))) |
(* x (- (+ (* -1/9 (cbrt (/ 1 (pow x 4)))) (+ (* 1/1296 (cbrt (/ 1 (pow x 10)))) (* 5/54 (cbrt (/ 1 (pow x 7)))))) (+ (* 25/1296 (cbrt (/ 1 (pow x 10)))) (* 55/972 (cbrt (/ 1 (pow x 10))))))) |
(* x (- (+ (* -1/9 (cbrt (/ 1 (pow x 4)))) (+ (* -5/3888 (cbrt (/ 1 (pow x 13)))) (+ (* 1/1296 (cbrt (/ 1 (pow x 10)))) (* 5/54 (cbrt (/ 1 (pow x 7))))))) (+ (* -275/11664 (cbrt (/ 1 (pow x 13)))) (+ (* 25/1296 (cbrt (/ 1 (pow x 10)))) (* 55/972 (cbrt (/ 1 (pow x 10)))))))) |
(* -1/9 (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))) |
(* -1 (* x (+ (* 5/54 (* (cbrt (/ 1 (pow x 7))) (cbrt -1))) (* 1/9 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (/ (- (+ (* -5/54 (* (cbrt (/ 1 (pow x 4))) (cbrt -1))) (* 1/1296 (cbrt (/ 1 (pow x 7))))) (+ (* 25/1296 (cbrt (/ 1 (pow x 7)))) (* 55/972 (cbrt (/ 1 (pow x 7)))))) x)) (* 1/9 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* 1/1296 (cbrt (/ 1 (pow x 4)))) (+ (* 25/1296 (cbrt (/ 1 (pow x 4)))) (* 55/972 (cbrt (/ 1 (pow x 4))))))) (* -5/3888 (* (cbrt (/ 1 (pow x 7))) (/ 1 (cbrt -1))))) (* -275/11664 (* (cbrt (/ 1 (pow x 7))) (/ 1 (cbrt -1))))) x)) (* -5/54 (* (cbrt (/ 1 (pow x 4))) (cbrt -1)))) x)) (* 1/9 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2)))))) |
(/ (- (* 25/46656 (cbrt (pow x 2))) (* 3025/419904 (cbrt (pow x 2)))) (pow x 4)) |
(/ (- (+ (* 25/46656 (cbrt (pow x 2))) (* x (- (* -5/3888 (cbrt (pow x 2))) (* -275/11664 (cbrt (pow x 2)))))) (* 3025/419904 (cbrt (pow x 2)))) (pow x 4)) |
(/ (- (+ (* 25/46656 (cbrt (pow x 2))) (* x (- (+ (* -5/3888 (cbrt (pow x 2))) (* x (- (* 1/1296 (cbrt (pow x 2))) (+ (* 25/1296 (cbrt (pow x 2))) (* 55/972 (cbrt (pow x 2))))))) (* -275/11664 (cbrt (pow x 2)))))) (* 3025/419904 (cbrt (pow x 2)))) (pow x 4)) |
(/ (- (+ (* 25/46656 (cbrt (pow x 2))) (* x (- (+ (* -5/3888 (cbrt (pow x 2))) (* x (- (+ (* 1/1296 (cbrt (pow x 2))) (* 5/54 (cbrt (pow x 5)))) (+ (* 25/1296 (cbrt (pow x 2))) (* 55/972 (cbrt (pow x 2))))))) (* -275/11664 (cbrt (pow x 2)))))) (* 3025/419904 (cbrt (pow x 2)))) (pow x 4)) |
(* -1/9 (cbrt (pow x 2))) |
(* (pow x 2) (- (* 5/54 (cbrt (/ 1 (pow x 7)))) (* 1/9 (cbrt (/ 1 (pow x 4)))))) |
(* (pow x 2) (- (* 1/1296 (cbrt (/ 1 (pow x 10)))) (+ (* -5/54 (cbrt (/ 1 (pow x 7)))) (+ (* 25/1296 (cbrt (/ 1 (pow x 10)))) (+ (* 55/972 (cbrt (/ 1 (pow x 10)))) (* 1/9 (cbrt (/ 1 (pow x 4))))))))) |
(* (pow x 2) (- (+ (* -5/3888 (cbrt (/ 1 (pow x 13)))) (* 1/1296 (cbrt (/ 1 (pow x 10))))) (+ (* -5/54 (cbrt (/ 1 (pow x 7)))) (+ (* -275/11664 (cbrt (/ 1 (pow x 13)))) (+ (* 25/1296 (cbrt (/ 1 (pow x 10)))) (+ (* 55/972 (cbrt (/ 1 (pow x 10)))) (* 1/9 (cbrt (/ 1 (pow x 4)))))))))) |
(* -1/9 (* (cbrt (pow x 2)) (pow (cbrt -1) 2))) |
(* (pow x 2) (- (* -5/54 (* (cbrt (/ 1 (pow x 7))) (cbrt -1))) (* 1/9 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2))))) |
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/1296 (cbrt (/ 1 (pow x 4)))) (+ (* 25/1296 (cbrt (/ 1 (pow x 4)))) (* 55/972 (cbrt (/ 1 (pow x 4)))))) x)) (* -5/54 (* (cbrt (/ 1 (pow x 4))) (cbrt -1)))) x)) (* 1/9 (* (cbrt (/ 1 (pow x 4))) (pow (cbrt -1) 2))))) |
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -5/3888 (* (cbrt (/ 1 (pow x 4))) (/ 1 (cbrt -1)))) (* -275/11664 (* (cbrt (/ 1 (pow x 4))) (/ 1 (cbrt -1))))) x)) (* 1/1296 (cbrt (/ 1 (pow x 4))))) (+ (* 25/1296 (cbrt (/ 1 (pow x 4)))) (* 55/972 (cbrt (/ 1 (pow x 4)))))) x)) (* -5/54 (* (cbrt (/ 1 (pow x 4))) (cbrt -1)))) x)) (* 1/9 (* (cbrt (/ 1 (pow x 4))) (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))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (pow x 5)) |
(cbrt (pow x 5)) |
(cbrt (pow x 5)) |
(cbrt (pow x 5)) |
(cbrt (pow x 5)) |
(cbrt (pow x 5)) |
(cbrt (pow x 5)) |
(cbrt (pow x 5)) |
(* (cbrt (pow x 5)) (pow (cbrt -1) 2)) |
(* (cbrt (pow x 5)) (pow (cbrt -1) 2)) |
(* (cbrt (pow x 5)) (pow (cbrt -1) 2)) |
(* (cbrt (pow x 5)) (pow (cbrt -1) 2)) |
(* 55/648 (cbrt (/ 1 (pow x 5)))) |
(* 55/648 (cbrt (/ 1 (pow x 5)))) |
(* 55/648 (cbrt (/ 1 (pow x 5)))) |
(* 55/648 (cbrt (/ 1 (pow x 5)))) |
(* 55/648 (cbrt (/ 1 (pow x 5)))) |
(* 55/648 (cbrt (/ 1 (pow x 5)))) |
(* 55/648 (cbrt (/ 1 (pow x 5)))) |
(* 55/648 (cbrt (/ 1 (pow x 5)))) |
(* -55/648 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))) |
(* -55/648 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))) |
(* -55/648 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))) |
(* -55/648 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
| Outputs |
|---|
(/ (+ (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) (pow x 3)) |
(/.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 x) #s(literal 5/81 binary64)) x) x) x) |
(/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (* 1/36 (cbrt x)))))) (pow x 3)) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal 5/81 binary64)) (*.f64 x (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x (*.f64 x x))) |
(/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (+ (* 1/36 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 3)) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal 5/81 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))))) (*.f64 x (*.f64 x x))) |
(/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (+ (* 1/36 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 3)) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal 5/81 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))))) (*.f64 x (*.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)))) |
(+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* 1/36 (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 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64))) |
(+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* -5/216 (cbrt (/ 1 (pow x 8)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (+ (* 55/648 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))) |
(+.f64 (*.f64 #s(literal -5/216 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))) (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64))) (*.f64 #s(literal 55/648 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))))) |
(+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* -5/216 (cbrt (/ 1 (pow x 8)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (+ (* 55/648 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))) |
(+.f64 (*.f64 #s(literal -5/216 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))) (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64))) (*.f64 #s(literal 55/648 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))))) |
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1/3 binary64))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (* 1/36 (cbrt (/ 1 (pow x 5)))))) |
(+.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #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 (/ (+ (* -1 (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (* 1/36 (cbrt (/ 1 (pow x 2)))))) (+ (* -5/216 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))) (* 55/648 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))))) x)) (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))) |
(-.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/9 binary64)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 #s(literal -1 binary64))) #s(literal 5/81 binary64))) x)) |
(+ (* -1 (/ (+ (* -1 (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (* 1/36 (cbrt (/ 1 (pow x 2)))))) (+ (* -5/216 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))) (* 55/648 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))))) x)) (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))) |
(-.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/9 binary64)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 #s(literal -1 binary64))) #s(literal 5/81 binary64))) x)) |
(/ (+ (* -5/216 (cbrt x)) (* 55/648 (cbrt x))) (pow x 2)) |
(/.f64 (/.f64 (*.f64 (cbrt.f64 x) #s(literal 5/81 binary64)) x) x) |
(/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (* 1/36 (cbrt x)))))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal 5/81 binary64)) (*.f64 x (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)) |
(/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (+ (* 1/36 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal 5/81 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))))) (*.f64 x x)) |
(/ (+ (* -5/216 (cbrt x)) (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (+ (* 1/36 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal 5/81 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))))) (*.f64 x x)) |
(* 1/3 (cbrt x)) |
(*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) |
(* x (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64)))) |
(* x (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* -5/216 (cbrt (/ 1 (pow x 8)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (+ (* 55/648 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))))) |
(*.f64 x (+.f64 (*.f64 #s(literal -5/216 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))) (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64))) (*.f64 #s(literal 55/648 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))))))) |
(* x (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* -5/216 (cbrt (/ 1 (pow x 8)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (+ (* 55/648 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))))) |
(*.f64 x (+.f64 (*.f64 #s(literal -5/216 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))) (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64))) (*.f64 #s(literal 55/648 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 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 (/ (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (* 1/36 (cbrt (/ 1 (pow x 2))))) x)) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(*.f64 (-.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal -1/9 binary64) x))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -5/216 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* 55/648 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1))))) x)) (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (* 1/36 (cbrt (/ 1 (pow x 2)))))) x)) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(*.f64 (-.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/9 binary64)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 5/81 binary64) x))) x)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -5/216 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* 55/648 (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1))))) x)) (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (* 1/36 (cbrt (/ 1 (pow x 2)))))) x)) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(*.f64 (-.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/9 binary64)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 5/81 binary64) x))) x)) (neg.f64 x)) |
(* 55/648 (cbrt (/ 1 (pow x 5)))) |
(*.f64 #s(literal 55/648 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(/ (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (* 1/36 (cbrt x))))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal 55/648 binary64)) (*.f64 x (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)) |
(/ (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (+ (* 1/36 (cbrt x)) (* 1/3 (cbrt (pow x 4))))))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal 55/648 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))))) (*.f64 x x)) |
(/ (+ (* 55/648 (cbrt x)) (* x (+ (* -5/36 (cbrt x)) (+ (* 1/36 (cbrt x)) (* 1/3 (cbrt (pow x 4))))))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal 55/648 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))))) (*.f64 x x)) |
(* 1/3 (cbrt x)) |
(*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) |
(* x (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64)))) |
(* x (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (+ (* 55/648 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))) |
(*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64))) (*.f64 #s(literal 55/648 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))))) |
(* x (+ (* -5/36 (cbrt (/ 1 (pow x 5)))) (+ (* 1/36 (cbrt (/ 1 (pow x 5)))) (+ (* 55/648 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))) |
(*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64))) (*.f64 #s(literal 55/648 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 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 (/ (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (* 1/36 (cbrt (/ 1 (pow x 2))))) x)) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(*.f64 (-.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal -1/9 binary64) x))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (+ (* -55/648 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))) (* 1/36 (cbrt (/ 1 (pow x 2)))))) x)) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/9 binary64)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 #s(literal -1 binary64))) #s(literal -55/648 binary64))) x)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -5/36 (cbrt (/ 1 (pow x 2)))) (+ (* -55/648 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))) (* 1/36 (cbrt (/ 1 (pow x 2)))))) x)) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/9 binary64)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 #s(literal -1 binary64))) #s(literal -55/648 binary64))) x)))) |
(* -5/216 (cbrt (/ 1 (pow x 5)))) |
(*.f64 #s(literal -5/216 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(* -5/216 (cbrt (/ 1 (pow x 5)))) |
(*.f64 #s(literal -5/216 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(* -5/216 (cbrt (/ 1 (pow x 5)))) |
(*.f64 #s(literal -5/216 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(* -5/216 (cbrt (/ 1 (pow x 5)))) |
(*.f64 #s(literal -5/216 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(* -5/216 (cbrt (/ 1 (pow x 5)))) |
(*.f64 #s(literal -5/216 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(* -5/216 (cbrt (/ 1 (pow x 5)))) |
(*.f64 #s(literal -5/216 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(* -5/216 (cbrt (/ 1 (pow x 5)))) |
(*.f64 #s(literal -5/216 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(* -5/216 (cbrt (/ 1 (pow x 5)))) |
(*.f64 #s(literal -5/216 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(* 5/216 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 #s(literal -1 binary64))) #s(literal 5/216 binary64)) |
(* 5/216 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 #s(literal -1 binary64))) #s(literal 5/216 binary64)) |
(* 5/216 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 #s(literal -1 binary64))) #s(literal 5/216 binary64)) |
(* 5/216 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 #s(literal -1 binary64))) #s(literal 5/216 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)))) |
(*.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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(cbrt.f64 x) |
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#s(literal 1 binary64) |
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(* -1/9 (* (cbrt (pow x 2)) (pow (cbrt -1) 2))) |
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(cbrt (/ 1 (pow x 2))) |
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(cbrt (pow x 5)) |
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(cbrt (pow x 5)) |
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(cbrt (pow x 5)) |
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(cbrt (pow x 5)) |
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(cbrt (pow x 5)) |
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(cbrt (pow x 5)) |
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(cbrt (pow x 5)) |
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(* (cbrt (pow x 5)) (pow (cbrt -1) 2)) |
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(* (cbrt (pow x 5)) (pow (cbrt -1) 2)) |
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(* 55/648 (cbrt (/ 1 (pow x 5)))) |
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(* 55/648 (cbrt (/ 1 (pow x 5)))) |
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(* 55/648 (cbrt (/ 1 (pow x 5)))) |
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(* 55/648 (cbrt (/ 1 (pow x 5)))) |
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(* 55/648 (cbrt (/ 1 (pow x 5)))) |
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(* 55/648 (cbrt (/ 1 (pow x 5)))) |
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(* -55/648 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))) |
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(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
Compiled 79875 to 4602 computations (94.2% saved)
53 alts after pruning (46 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1616 | 24 | 1640 |
| Fresh | 17 | 22 | 39 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 4 | 5 |
| Total | 1636 | 53 | 1689 |
| Status | Accuracy | Program |
|---|---|---|
| 98.5% | (/.f64 (fma.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)))) x) | |
| 98.7% | (/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 25/1296 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64))))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))))) x) | |
| 98.7% | (/.f64 (fma.f64 (+.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -125/46656 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))))))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))))) x) | |
| 98.6% | (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))) #s(literal 2 binary64))) x) (-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64)))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))))) | |
| 98.6% | (/.f64 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -10/3 binary64)) #s(literal 25/46656 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) #s(literal 2 binary64))) (cbrt.f64 x)) (*.f64 (-.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64))))) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/36 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64))))) (cbrt.f64 x))) x) | |
| 25.2% | (/.f64 (/.f64 (+.f64 (*.f64 (cbrt.f64 x) (+.f64 #s(literal 5/81 binary64) (*.f64 x #s(literal -1/9 binary64)))) (*.f64 x (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))) (*.f64 x x)) x) | |
| 96.9% | (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) | |
| 91.9% | (/.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/3 binary64))) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))))) x) | |
| ✓ | 98.9% | (/.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))))) x) |
| 98.3% | (/.f64 (+.f64 (+.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/36 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/216 binary64))) (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 55/648 binary64))) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal -5/36 binary64)))) x) | |
| 25.4% | (/.f64 (+.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 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64))) (*.f64 x x)) | |
| 24.8% | (/.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)) | |
| 98.5% | (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal -1/9 binary64))) x) | |
| 25.2% | (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 (cbrt.f64 x) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/3 binary64)))) (*.f64 (cbrt.f64 x) #s(literal -35/324 binary64))) (*.f64 x x))) | |
| 98.4% | (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))))))) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))) #s(literal 3 binary64)))))) | |
| 98.4% | (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))))))))))) | |
| 98.6% | (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))))))))) | |
| 97.3% | (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64))) | |
| 48.5% | (/.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64)))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))))) | |
| 97.5% | (/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x) | |
| 96.9% | (/.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64)))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))))) | |
| 98.7% | (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))))))) | |
| 49.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) | |
| 48.4% | (/.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)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) | |
| 24.8% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))) | |
| 50.0% | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (cbrt.f64 (*.f64 x x)))) | |
| 96.9% | (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) | |
| ✓ | 89.2% | (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
| 89.3% | (/.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)))) | |
| 50.0% | (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))) | |
| 6.5% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/3 binary64))) | |
| ✓ | 4.0% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
| 90.1% | (-.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 5/3 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) | |
| 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)) |
| 90.1% | (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #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))) | |
| 50.7% | (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal -1/9 binary64))) | |
| 90.4% | (*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) #s(literal 1/3 binary64)) | |
| 96.9% | (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) | |
| ✓ | 89.2% | (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
| 98.7% | (*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))) #s(literal 2 binary64))) x) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))))))) | |
| 79.8% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))))))) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))) #s(literal 2 binary64)))) | |
| 50.0% | (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64)) | |
| 98.7% | (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))))))) #s(literal -1 binary64))) | |
| 98.8% | (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 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 0 binary64) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (-.f64 #s(literal 0 binary64) x)))) | |
| 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))))) | |
| 51.3% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) | |
| 49.8% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) | |
| ✓ | 49.8% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 51.1% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)))) |
Compiled 4973 to 1375 computations (72.4% 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 #s(literal 3 binary64) (cbrt.f64 (*.f64 x x)))) |
(*.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 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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 (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 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(*.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 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
(*.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 (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 -1/9 binary64) (pow.f64 x #s(literal 5/3 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (-.f64 #s(literal 0 binary64) x)))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal -1/9 binary64))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal -1/9 binary64))) x) |
(/.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/9 binary64) x))) (-.f64 #s(literal 0 binary64) x)) x) |
(*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) #s(literal 1/3 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 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 x))))) |
(*.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 (pow.f64 x #s(literal -2/3 binary64)) #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))) |
(/.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 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64))) |
(/.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)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (cbrt.f64 x) (+.f64 #s(literal 5/81 binary64) (*.f64 x #s(literal -1/9 binary64)))) (*.f64 x (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))) (*.f64 x x)) x) |
(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (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)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.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))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 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 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))) |
(/.f64 (+.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 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (*.f64 x x)) |
(/.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))))) x) |
(/.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/3 binary64))) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 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 (*.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)) |
(/.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 (/.f64 #s(literal 1 binary64) 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)) |
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(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 25/1296 binary64))) (/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal 5/216 binary64) (pow.f64 x #s(literal -5/3 binary64)))) (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 1/1296 binary64)) (*.f64 (pow.f64 x #s(literal -10/3 binary64)) #s(literal 25/46656 binary64))))) (*.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) (/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal 5/216 binary64) (pow.f64 x #s(literal -5/3 binary64)))) (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 1/1296 binary64)) (*.f64 (pow.f64 x #s(literal -10/3 binary64)) #s(literal 25/46656 binary64)))))) x) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))) #s(literal 2 binary64))) x) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))))))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) (-.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))))))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 25/1296 binary64))) (+.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 1/1296 binary64)) (*.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (-.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)))))) (*.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/46656 binary64)) (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -125/10077696 binary64))))) (*.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) (+.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 1/1296 binary64)) (*.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (-.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64))))))) x) |
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 1/1296 binary64)) (*.f64 (pow.f64 x #s(literal -10/3 binary64)) #s(literal 25/46656 binary64))) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) (-.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 25/1296 binary64))))) (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal 5/216 binary64) (pow.f64 x #s(literal -5/3 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal 5/216 binary64) (pow.f64 x #s(literal -5/3 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) (-.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 25/1296 binary64)))))) x) |
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 1/1296 binary64)) (*.f64 (pow.f64 x #s(literal -10/3 binary64)) #s(literal 25/46656 binary64))) (+.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))))))) (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal 5/216 binary64) (pow.f64 x #s(literal -5/3 binary64)))) (+.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -125/46656 binary64))))) (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal 5/216 binary64) (pow.f64 x #s(literal -5/3 binary64)))) (+.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))))))) x) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64)))))))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))) (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))))))) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)) (/.f64 #s(literal -55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))))) #s(literal 3 binary64)))))) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))))) x) |
2 calls:
| 27.0ms | x |
| 22.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | x |
| 98.9% | 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 #s(literal 3 binary64) (cbrt.f64 (*.f64 x x)))) |
(*.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 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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 (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 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(*.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 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
(*.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 (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 -1/9 binary64) (pow.f64 x #s(literal 5/3 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (-.f64 #s(literal 0 binary64) x)))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal -1/9 binary64))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal -1/9 binary64))) x) |
(/.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/9 binary64) x))) (-.f64 #s(literal 0 binary64) x)) x) |
(*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) #s(literal 1/3 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 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 x))))) |
(*.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 (pow.f64 x #s(literal -2/3 binary64)) #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))) |
(/.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 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64))) |
(/.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)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (cbrt.f64 x) (+.f64 #s(literal 5/81 binary64) (*.f64 x #s(literal -1/9 binary64)))) (*.f64 x (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))) (*.f64 x x)) x) |
(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (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)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.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))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 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 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))) |
(/.f64 (+.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 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal -1/9 binary64))) x) |
2 calls:
| 16.0ms | x |
| 12.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | x |
| 98.5% | 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 #s(literal 3 binary64) (cbrt.f64 (*.f64 x x)))) |
(*.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 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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 (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 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(*.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 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
(*.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 (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 -1/9 binary64) (pow.f64 x #s(literal 5/3 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (-.f64 #s(literal 0 binary64) x)))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal -1/9 binary64))) |
| Outputs |
|---|
(/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x) |
2 calls:
| 11.0ms | x |
| 8.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 1 | x |
| 97.5% | 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))) |
| 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 |
|---|---|---|
| 92.6% | 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 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.2% | 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 |
|---|---|---|
| 16.0ms | 7.036207469100613e+153 | 1.2130964765896323e+155 |
| 13.0ms | 112× | 1 | valid |
Compiled 117 to 93 computations (20.5% saved)
ival-cbrt: 3.0ms (44.5% of total)ival-add: 1.0ms (14.8% of total)ival-sub: 1.0ms (14.8% of total)backward-pass: 1.0ms (14.8% of total)const: 0.0ms (0% of total)| 1× | egg-herbie |
| 14× | +-commutative_binary64 |
| 12× | *-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 75 |
| 1 | 57 | 75 |
| 2 | 61 | 75 |
| 3 | 63 | 75 |
| 4 | 64 | 75 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal -1/9 binary64))) x) |
(/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x) |
(if (<=.f64 x #s(literal 13400000000000000108070028307055478569440359747784548072949571521098607764837373000563319432383120946048115065876068384406384079583813935540697222675955712 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 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 #s(literal -5/216 binary64) (pow.f64 x #s(literal 5/3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (+.f64 (/.f64 #s(literal 55/648 binary64) (pow.f64 x #s(literal 5/3 binary64))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -5/36 binary64)))))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal -1/9 binary64))) x) |
(/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) x) |
(if (<=.f64 x #s(literal 13400000000000000108070028307055478569440359747784548072949571521098607764837373000563319432383120946048115065876068384406384079583813935540697222675955712 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 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| 5716× | *-lowering-*.f32 |
| 5716× | *-lowering-*.f64 |
| 4336× | *-lowering-*.f32 |
| 4336× | *-lowering-*.f64 |
| 4114× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 362 | 2832 |
| 1 | 1082 | 2504 |
| 2 | 3734 | 2453 |
| 0 | 8184 | 2453 |
| 0 | 435 | 3173 |
| 1 | 1289 | 2819 |
| 2 | 4495 | 2737 |
| 0 | 8162 | 2737 |
| 0 | 6 | 16 |
| 1 | 39 | 16 |
| 2 | 291 | 16 |
| 3 | 3387 | 16 |
| 0 | 8991 | 16 |
| 0 | 48 | 328 |
| 1 | 314 | 276 |
| 2 | 3026 | 276 |
| 0 | 8275 | 242 |
| 0 | 26 | 98 |
| 1 | 149 | 91 |
| 2 | 1184 | 91 |
| 0 | 8603 | 90 |
| 0 | 43 | 169 |
| 1 | 222 | 167 |
| 2 | 1880 | 159 |
| 0 | 10736 | 140 |
| 0 | 146 | 551 |
| 1 | 378 | 495 |
| 2 | 1081 | 488 |
| 3 | 3258 | 483 |
| 0 | 8146 | 483 |
| 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 |
Compiled 219 to 133 computations (39.3% saved)
Compiled 220 to 116 computations (47.3% saved)
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