
Time bar (total: 8.8s)
| 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)| 892.0ms | 4784× | 1 | valid |
| 857.0ms | 3279× | 2 | valid |
| 15.0ms | 193× | 0 | valid |
ival-cbrt: 325.0ms (26% of total)backward-pass: 211.0ms (16.9% of total)ival-add: 204.0ms (16.3% of total)...c/correct-round.rkt:119:19: 200.0ms (16% of total)ival-sub: 143.0ms (11.4% of total)ival->: 87.0ms (7% of total)ival-and: 35.0ms (2.8% of total)ival-<: 27.0ms (2.2% of total)const: 20.0ms (1.6% 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 |
|---|---|---|---|---|---|
| 255 | 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)) |
| 61.0ms | 216× | 2 | valid |
| 52.0ms | 288× | 1 | valid |
| 1.0ms | 8× | 0 | valid |
Compiled 48 to 20 computations (58.3% saved)
ival-cbrt: 19.0ms (37.5% of total)backward-pass: 15.0ms (29.6% of total)ival-add: 9.0ms (17.8% of total)ival-sub: 6.0ms (11.8% of total)const: 2.0ms (3.9% of total)Compiled 8 to 6 computations (25% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 6.4% | (-.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 | 99.2% | (cbrt.f64 x) |
| ✓ | accuracy | 6.4% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 32.0ms | 108× | 2 | valid |
| 25.0ms | 144× | 1 | valid |
| 0.0ms | 4× | 0 | valid |
Compiled 20 to 7 computations (65% saved)
ival-cbrt: 9.0ms (32.3% of total)backward-pass: 8.0ms (28.7% of total)ival-add: 7.0ms (25.1% of total)ival-sub: 3.0ms (10.8% of total)const: 1.0ms (3.6% 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 |
| 2008× | *-lowering-*.f32 |
| 2008× | *-lowering-*.f64 |
| 1490× | fmsub-define |
| 1482× | fmm-def |
| 1314× | fma-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 1 | 39 | 16 |
| 2 | 291 | 16 |
| 3 | 3409 | 16 |
| 0 | 8766 | 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)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (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)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (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)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))))) |
(fma.f64 (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)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (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)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))))) |
(fma.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))))) |
(fma.f64 #s(literal -1 binary64) (cbrt.f64 x) (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)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 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) (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 (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)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.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)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))))) |
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(*.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)))) |
| 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 | 387 | 495 |
| 2 | 1086 | 488 |
| 3 | 3271 | 483 |
| 0 | 8118 | 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 (-.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 x #s(literal 1/3 binary64))) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(+.f64 (-.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/9 binary64))))) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(+.f64 (-.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64))))))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (*.f64 x x)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (+.f64 (*.f64 #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 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (+.f64 (*.f64 #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 -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 (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 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 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 x (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (cbrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(-.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (+.f64 (*.f64 #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 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (cbrt.f64 #s(literal -1 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 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)))) |
Compiled 6903 to 1020 computations (85.2% saved)
25 alts after pruning (24 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 296 | 24 | 320 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 296 | 25 | 321 |
| Status | Accuracy | Program |
|---|---|---|
| 5.9% | (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (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))))) | |
| 5.7% | (fma.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) | |
| 3.9% | (/.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 #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 -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 (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 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) | |
| 19.3% | (/.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)) | |
| 19.2% | (/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) (*.f64 x x)) | |
| 19.0% | (/.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)) | |
| 3.9% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) | |
| 5.8% | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) | |
| ▶ | 5.9% | (-.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (cbrt.f64 x)) |
| 4.8% | (-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x)) | |
| 6.1% | (-.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)) | |
| 6.3% | (-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x)) | |
| 7.1% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2/3 binary64))) | |
| 7.2% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) | |
| 7.1% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| 7.1% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64)))) | |
| 7.3% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (cbrt.f64 x)))) | |
| 5.7% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))))) | |
| ▶ | 6.4% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)))) |
| ✓ | 6.4% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 6.2% | (-.f64 (cbrt.f64 (*.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)))))) (cbrt.f64 x)) | |
| ▶ | 5.7% | (-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x)) |
| ▶ | 1.8% | (-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| ▶ | 47.7% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 7.9% | (neg.f64 (/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))) |
Compiled 816 to 560 computations (31.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (cbrt.f64 x)) |
| ✓ | cost-diff | 64 | (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (log1p.f64 x) |
| ✓ | cost-diff | 0 | (cbrt.f64 (exp.f64 (log1p.f64 x))) |
| ✓ | cost-diff | 0 | (-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x)) |
| ✓ | cost-diff | 12672 | (exp.f64 (log1p.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))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)))) |
| ✓ | cost-diff | 6528 | (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.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)))) |
| 450× | fnmadd-define |
| 334× | fmsub-define |
| 332× | fma-lowering-fma.f32 |
| 332× | fma-lowering-fma.f64 |
| 330× | sum3-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 108 |
| 1 | 58 | 108 |
| 2 | 73 | 102 |
| 3 | 92 | 102 |
| 4 | 125 | 102 |
| 5 | 202 | 102 |
| 6 | 354 | 102 |
| 7 | 609 | 102 |
| 8 | 880 | 102 |
| 9 | 1170 | 102 |
| 10 | 1464 | 102 |
| 11 | 1645 | 102 |
| 12 | 1722 | 102 |
| 13 | 1779 | 102 |
| 14 | 1795 | 102 |
| 15 | 1797 | 102 |
| 16 | 1810 | 102 |
| 17 | 1829 | 102 |
| 18 | 1837 | 102 |
| 0 | 1837 | 102 |
| 1× | iter limit |
| 1× | saturated |
| 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 |
(- (cbrt (+ x 1)) (exp (* 1/3 (log x)))) |
(cbrt (+ x 1)) |
(+ x 1) |
x |
1 |
(exp (* 1/3 (log x))) |
(* 1/3 (log x)) |
1/3 |
(log x) |
(- (cbrt (exp (log (+ 1 x)))) (cbrt x)) |
(cbrt (exp (log (+ 1 x)))) |
(exp (log (+ 1 x))) |
(log (+ 1 x)) |
x |
(cbrt x) |
(- (* (cbrt (pow (+ x 1) 1/2)) (cbrt (pow (+ x 1) 1/2))) (cbrt x)) |
(* (cbrt (pow (+ x 1) 1/2)) (cbrt (pow (+ x 1) 1/2))) |
(cbrt (pow (+ x 1) 1/2)) |
(pow (+ x 1) 1/2) |
(+ x 1) |
x |
1 |
1/2 |
(cbrt x) |
| 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 |
(- (cbrt (+ x 1)) (exp (* 1/3 (log 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 |
1 |
#s(literal 1 binary64) |
(exp (* 1/3 (log x))) |
(cbrt.f64 x) |
(* 1/3 (log x)) |
(*.f64 #s(literal 1/3 binary64) (log.f64 x)) |
1/3 |
#s(literal 1/3 binary64) |
(log x) |
(log.f64 x) |
(- (cbrt (exp (log (+ 1 x)))) (cbrt x)) |
(-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) |
(cbrt (exp (log (+ 1 x)))) |
(cbrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(exp (log (+ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(log (+ 1 x)) |
(log1p.f64 x) |
x |
(cbrt x) |
(cbrt.f64 x) |
(- (* (cbrt (pow (+ x 1) 1/2)) (cbrt (pow (+ x 1) 1/2))) (cbrt x)) |
(-.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 x)) |
(* (cbrt (pow (+ x 1) 1/2)) (cbrt (pow (+ x 1) 1/2))) |
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(cbrt (pow (+ x 1) 1/2)) |
(cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(pow (+ x 1) 1/2) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+ x 1) |
(+.f64 #s(literal 1 binary64) x) |
x |
1 |
#s(literal 1 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(cbrt x) |
(cbrt.f64 x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (cbrt.f64 x) |
| ✓ | accuracy | 100.0% | (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.9% | (-.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (cbrt.f64 x)) |
| ✓ | accuracy | 100.0% | (log1p.f64 x) |
| ✓ | accuracy | 100.0% | (cbrt.f64 (exp.f64 (log1p.f64 x))) |
| ✓ | accuracy | 100.0% | (exp.f64 (log1p.f64 x)) |
| ✓ | accuracy | 99.9% | (-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x)) |
| ✓ | accuracy | 100.0% | (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/3 binary64) (log.f64 x)) |
| ✓ | accuracy | 100.0% | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)))) |
| ✓ | accuracy | 100.0% | (cbrt.f64 x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 100.0% | (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 976.0ms | 254× | 5 | exit |
| 1.0ms | 2× | 0 | valid |
Compiled 133 to 25 computations (81.2% saved)
ival-exp: 200.0ms (34.8% of total)backward-pass: 112.0ms (19.5% of total)ival-cbrt: 71.0ms (12.4% of total)ival-pow: 38.0ms (6.6% of total)ival-log: 30.0ms (5.2% of total)ival-sub: 29.0ms (5.1% of total)ival-mult: 29.0ms (5.1% of total)compiled-spec: 27.0ms (4.7% of total)...c/correct-round.rkt:119:19: 20.0ms (3.5% of total)ival-add: 8.0ms (1.4% of total)ival-div: 7.0ms (1.2% of total)const: 3.0ms (0.5% 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 x)))> |
#<alt (- (cbrt (+ x 1)) (exp (* 1/3 (log x))))> |
#<alt (cbrt (+ x 1))> |
#<alt (+ x 1)> |
#<alt (exp (log (+ 1 x)))> |
#<alt (- (cbrt (exp (log (+ 1 x)))) (cbrt x))> |
#<alt (cbrt (exp (log (+ 1 x))))> |
#<alt (log (+ 1 x))> |
#<alt (pow (+ x 1) 1/2)> |
#<alt (- (* (cbrt (pow (+ x 1) 1/2)) (cbrt (pow (+ x 1) 1/2))) (cbrt x))> |
#<alt (* (cbrt (pow (+ x 1) 1/2)) (cbrt (pow (+ x 1) 1/2)))> |
#<alt (cbrt (pow (+ x 1) 1/2))> |
#<alt (* 1/3 (log x))> |
| 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 (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (- 1 (cbrt x))> |
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))> |
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))> |
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))> |
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt 1> |
#<alt (+ 1 (* 1/3 x))> |
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))> |
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))> |
#<alt (cbrt x)> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt 1> |
#<alt (+ 1 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 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 (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 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> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))> |
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))> |
#<alt (sqrt x)> |
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -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 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 (* 1/3 (log x))> |
#<alt (* 1/3 (log x))> |
#<alt (* 1/3 (log x))> |
#<alt (* 1/3 (log x))> |
#<alt (* -1/3 (log (/ 1 x)))> |
#<alt (* -1/3 (log (/ 1 x)))> |
#<alt (* -1/3 (log (/ 1 x)))> |
#<alt (* -1/3 (log (/ 1 x)))> |
#<alt (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | x | @ | 0 | (* 1/3 (log x)) |
| 18.0ms | x | @ | -inf | (* 1/3 (log x)) |
| 10.0ms | x | @ | inf | (* 1/3 (log x)) |
| 7.0ms | x | @ | -inf | (log (+ 1 x)) |
| 2.0ms | x | @ | 0 | (* 1/3 (cbrt (/ 1 (* x x)))) |
| 1× | batch-egg-rewrite |
| 3326× | *-lowering-*.f32 |
| 3326× | *-lowering-*.f64 |
| 2612× | /-lowering-/.f32 |
| 2612× | /-lowering-/.f64 |
| 1254× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 86 |
| 1 | 153 | 76 |
| 2 | 1014 | 75 |
| 0 | 8007 | 74 |
| 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 x))) |
(- (cbrt (+ x 1)) (exp (* 1/3 (log x)))) |
(cbrt (+ x 1)) |
(+ x 1) |
(exp (log (+ 1 x))) |
(- (cbrt (exp (log (+ 1 x)))) (cbrt x)) |
(cbrt (exp (log (+ 1 x)))) |
(log (+ 1 x)) |
(pow (+ x 1) 1/2) |
(- (* (cbrt (pow (+ x 1) 1/2)) (cbrt (pow (+ x 1) 1/2))) (cbrt x)) |
(* (cbrt (pow (+ x 1) 1/2)) (cbrt (pow (+ x 1) 1/2))) |
(cbrt (pow (+ x 1) 1/2)) |
(* 1/3 (log x)) |
| 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 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal 1/3 binary64))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (cbrt.f64 x)) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (pow.f64 x #s(literal -1/3 binary64))) |
(exp.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2 binary64) (log.f64 x)))) |
(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))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(/.f64 (pow.f64 x #s(literal -2/3 binary64)) #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 x (-.f64 #s(literal 0 binary64) x)) #s(literal 1/3 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal 1/3 binary64)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal 1/3 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (exp.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (log.f64 x) #s(literal 2 binary64))))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (log.f64 x) #s(literal 2 binary64))))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64))) |
(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 (exp.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 x))) |
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 (log.f64 x) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (neg.f64 (log.f64 x))) |
(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) (pow.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal 1/3 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal -1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/3 binary64))) (pow.f64 x #s(literal -1/3 binary64))) |
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 x)) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (-.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 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (*.f64 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 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(*.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 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #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) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/2 binary64)))) |
(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))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)) #s(literal 3 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))) |
(neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 x (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x x) #s(literal 1 binary64)) |
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(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/12 binary64))) |
(*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/12 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/12 binary64))) |
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/6 binary64))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))) |
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) |
(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 1/6 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal 2/3 binary64)) |
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/12 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/12 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/12 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/12 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(log.f64 (cbrt.f64 x)) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 x))) |
(+.f64 (log.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (log.f64 x) #s(literal 2 binary64))))) (log.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (log.f64 x) #s(literal 2 binary64)))))) |
(+.f64 (log.f64 (pow.f64 x #s(literal 1/6 binary64))) (log.f64 (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (log.f64 x)) |
(*.f64 (log.f64 x) #s(literal 1/3 binary64)) |
| 1× | egg-herbie |
| 3384× | *-lowering-*.f32 |
| 3384× | *-lowering-*.f64 |
| 2784× | +-lowering-+.f64 |
| 2784× | +-lowering-+.f32 |
| 1898× | fnmadd-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 311 | 2518 |
| 1 | 898 | 2222 |
| 2 | 2995 | 2185 |
| 3 | 6480 | 2176 |
| 0 | 8747 | 2176 |
| 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))) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
1 |
(+ 1 (* 1/3 x)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(cbrt x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
1 |
(+ 1 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 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 (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))))) |
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 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -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))))) |
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))) |
(* 1/3 (log x)) |
(* 1/3 (log x)) |
(* 1/3 (log x)) |
(* 1/3 (log x)) |
(* -1/3 (log (/ 1 x))) |
(* -1/3 (log (/ 1 x))) |
(* -1/3 (log (/ 1 x))) |
(* -1/3 (log (/ 1 x))) |
(* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))) |
(* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))) |
(* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))) |
(* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))) |
| Outputs |
|---|
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(* -1 (cbrt x)) |
(-.f64 #s(literal 0 binary64) (cbrt.f64 x)) |
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(* (cbrt x) (cbrt -1)) |
(*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))) |
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) x))) |
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) x))) |
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) x))) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(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 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (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 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64)))))) (cbrt.f64 x))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64)))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 (*.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 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64)) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) (*.f64 x x)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 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 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal -5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 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 #s(literal 1/3 binary64) x)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/9 binary64))))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64))))))) |
(cbrt x) |
(cbrt.f64 x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(*.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(*.f64 x (+.f64 (*.f64 #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 #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 #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 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))) (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))))))))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (+.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) x)) (*.f64 #s(literal 1 binary64) (/.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 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) x)) x)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(-.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal -5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) 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 |
#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 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (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 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64)))))) (cbrt.f64 x))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64)))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 (*.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 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64)) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) (*.f64 x x)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 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 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal -5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 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 #s(literal 1/3 binary64) x)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/9 binary64))))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64))))))) |
(cbrt x) |
(cbrt.f64 x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(*.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(*.f64 x (+.f64 (*.f64 #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 #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 #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 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))) (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))))))))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (+.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) x)) (*.f64 #s(literal 1 binary64) (/.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 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) x)) x)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
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x |
(* x (+ 1 (* -1/2 x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64))))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(+ (* -1 (log (/ 1 x))) (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x)) |
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) |
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x 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))) (/ 1 x))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))) |
(sqrt x) |
(sqrt.f64 x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(*.f64 x (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f64 x (-.f64 #s(literal 0 binary64) (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (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 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64)))))) (cbrt.f64 x))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64)))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 (*.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 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64)) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) (*.f64 x x)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 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 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal -5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 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 #s(literal 1/3 binary64) x)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/9 binary64))))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 5/81 binary64))))))) |
(cbrt x) |
(cbrt.f64 x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(*.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(*.f64 x (+.f64 (*.f64 #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 #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 #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 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))) (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))))))))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (+.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) x)) (*.f64 #s(literal 1 binary64) (/.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 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) x)) x)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(-.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal -5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) x)) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/6 binary64))) |
(+ 1 (* x (+ 1/6 (* -5/72 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -5/72 binary64))))) |
(+ 1 (* x (+ 1/6 (* x (- (* 55/1296 x) 5/72))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (+.f64 #s(literal -5/72 binary64) (*.f64 x #s(literal 55/1296 binary64))))))) |
(pow (* 1 x) 1/6) |
(pow.f64 x #s(literal 1/6 binary64)) |
(+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (pow (* 1 x) 1/6)) |
(+.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.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 11)) 1/6)) (+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (pow (* 1 x) 1/6))) |
(+.f64 (*.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))) (+.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -5/72 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))) #s(literal 1/6 binary64))))) |
(+ (* -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)))) |
(+.f64 (pow.f64 x #s(literal 1/6 binary64)) (+.f64 (*.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))) (+.f64 (*.f64 #s(literal -5/72 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))) #s(literal 1/6 binary64))) (*.f64 #s(literal 55/1296 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 17 binary64))) #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)))))) (* 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 (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 1/6 binary64) 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))) |
(-.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 (*.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 -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 (*.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 -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)) |
(* 1/3 (log x)) |
(*.f64 #s(literal 1/3 binary64) (log.f64 x)) |
(* 1/3 (log x)) |
(*.f64 #s(literal 1/3 binary64) (log.f64 x)) |
(* 1/3 (log x)) |
(*.f64 #s(literal 1/3 binary64) (log.f64 x)) |
(* 1/3 (log x)) |
(*.f64 #s(literal 1/3 binary64) (log.f64 x)) |
(* -1/3 (log (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (log.f64 x)) |
(* -1/3 (log (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (log.f64 x)) |
(* -1/3 (log (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (log.f64 x)) |
(* -1/3 (log (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (log.f64 x)) |
(* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))) |
(*.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))) |
(*.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))) |
(*.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))) |
(*.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
Compiled 38776 to 3957 computations (89.8% saved)
40 alts after pruning (37 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1676 | 33 | 1709 |
| Fresh | 15 | 4 | 19 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1694 | 40 | 1734 |
| Status | Accuracy | Program |
|---|---|---|
| 96.9% | (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) | |
| 3.9% | (/.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 #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 -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 (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 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) | |
| 19.3% | (/.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 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64)) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) (*.f64 x x)) | |
| 19.2% | (/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64)))) (*.f64 x x)) | |
| ▶ | 19.0% | (/.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)) |
| 46.3% | (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))) | |
| 96.9% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)) (cbrt.f64 x)) | |
| 46.3% | (/.f64 (*.f64 (*.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (-.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))))) (+.f64 x (+.f64 #s(literal 1 binary64) x))) | |
| 89.0% | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) | |
| 89.0% | (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) | |
| 3.9% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) | |
| ▶ | 5.8% | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
| ✓ | 6.4% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| ✓ | 1.8% | (-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| ▶ | 89.0% | (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
| 44.2% | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))))) | |
| 44.6% | (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))) | |
| 90.4% | (*.f64 #s(literal 1/3 binary64) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 x)))) | |
| 96.9% | (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) | |
| 90.9% | (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (exp.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (log.f64 x) #s(literal 2 binary64))))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (log.f64 x) #s(literal 2 binary64)))))) | |
| 96.9% | (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))) | |
| ▶ | 97.1% | (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (-.f64 #s(literal 0 binary64) x)))) |
| 89.0% | (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))) | |
| 96.9% | (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))) | |
| 96.9% | (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))) | |
| 89.4% | (*.f64 #s(literal 1/3 binary64) (exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64))))) | |
| 48.9% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64)))) | |
| ▶ | 49.2% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) |
| 47.2% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 x)))) | |
| 49.2% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64))))) | |
| 49.2% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) | |
| 47.4% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 6 binary64))))) | |
| 47.7% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) | |
| 47.7% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))))) | |
| 47.7% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) x))))) | |
| ✓ | 47.7% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 45.1% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))) | |
| 49.2% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/2 binary64)))))) | |
| 49.2% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) | |
| 46.6% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))))) |
Compiled 1182 to 799 computations (32.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cbrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) |
| ✓ | cost-diff | 0 | (+.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))))) |
| ✓ | cost-diff | 0 | (/.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)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
| ✓ | cost-diff | 0 | (pow.f64 x #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) |
| ✓ | cost-diff | 0 | (pow.f64 x #s(literal -2/3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) |
| ✓ | cost-diff | 0 | (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (-.f64 #s(literal 0 binary64) x))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (-.f64 #s(literal 0 binary64) x)))) |
| 2178× | fmsub-define |
| 2118× | fmm-def |
| 2062× | fnmsub-define |
| 1972× | sum5-define |
| 1596× | sum3-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 8589934722 |
| 1 | 56 | 8589934722 |
| 2 | 67 | 8589934722 |
| 3 | 82 | 8589934722 |
| 4 | 97 | 8589934722 |
| 5 | 148 | 8589934722 |
| 6 | 236 | 8589934722 |
| 7 | 335 | 8589934722 |
| 8 | 439 | 8589934722 |
| 9 | 584 | 8589934722 |
| 10 | 731 | 8589934722 |
| 11 | 808 | 8589934722 |
| 12 | 958 | 8589934722 |
| 13 | 1429 | 8589934722 |
| 14 | 3571 | 8589934722 |
| 15 | 6744 | 8589934722 |
| 16 | 7702 | 8589934722 |
| 0 | 8598 | 140 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (/ (cbrt (/ -1 x)) (cbrt (- 0 x)))) |
1/3 |
(/ (cbrt (/ -1 x)) (cbrt (- 0 x))) |
(cbrt (/ -1 x)) |
(/ -1 x) |
-1 |
x |
(cbrt (- 0 x)) |
(- 0 x) |
0 |
(* (pow x -2/3) 1/3) |
(pow x -2/3) |
x |
-2/3 |
1/3 |
(* 1/3 (cbrt (pow x -2))) |
1/3 |
(cbrt (pow x -2)) |
(pow x -2) |
x |
-2 |
(- (/ 1 (cbrt (/ 1 (+ x 1)))) (cbrt x)) |
(/ 1 (cbrt (/ 1 (+ x 1)))) |
1 |
(cbrt (/ 1 (+ x 1))) |
(/ 1 (+ x 1)) |
(+ x 1) |
x |
(cbrt x) |
(/ (+ (* (cbrt x) -1/9) (* 1/3 (cbrt (pow x 4)))) (* x x)) |
(+ (* (cbrt x) -1/9) (* 1/3 (cbrt (pow x 4)))) |
(* (cbrt x) -1/9) |
(cbrt x) |
x |
-1/9 |
(* 1/3 (cbrt (pow x 4))) |
1/3 |
(cbrt (pow x 4)) |
(pow x 4) |
4 |
(* x x) |
| Outputs |
|---|
(* 1/3 (/ (cbrt (/ -1 x)) (cbrt (- 0 x)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (-.f64 #s(literal 0 binary64) x)))) |
1/3 |
#s(literal 1/3 binary64) |
(/ (cbrt (/ -1 x)) (cbrt (- 0 x))) |
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (-.f64 #s(literal 0 binary64) x))) |
(cbrt (/ -1 x)) |
(cbrt.f64 (/.f64 #s(literal -1 binary64) x)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
-1 |
#s(literal -1 binary64) |
x |
(cbrt (- 0 x)) |
(cbrt.f64 (-.f64 #s(literal 0 binary64) x)) |
(- 0 x) |
(-.f64 #s(literal 0 binary64) x) |
0 |
#s(literal 0 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 (pow x -2))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) |
1/3 |
#s(literal 1/3 binary64) |
(cbrt (pow x -2)) |
(cbrt.f64 (pow.f64 x #s(literal -2 binary64))) |
(pow x -2) |
(pow.f64 x #s(literal -2 binary64)) |
x |
-2 |
#s(literal -2 binary64) |
(- (/ 1 (cbrt (/ 1 (+ x 1)))) (cbrt x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
(/ 1 (cbrt (/ 1 (+ x 1)))) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
1 |
#s(literal 1 binary64) |
(cbrt (/ 1 (+ x 1))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(/ 1 (+ x 1)) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
x |
(cbrt x) |
(cbrt.f64 x) |
(/ (+ (* (cbrt x) -1/9) (* 1/3 (cbrt (pow x 4)))) (* x x)) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(+ (* (cbrt x) -1/9) (* 1/3 (cbrt (pow x 4)))) |
(+.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))))) |
(* (cbrt x) -1/9) |
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) |
(cbrt x) |
(cbrt.f64 x) |
x |
-1/9 |
#s(literal -1/9 binary64) |
(* 1/3 (cbrt (pow x 4))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) |
1/3 |
#s(literal 1/3 binary64) |
(cbrt (pow x 4)) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
(* x x) |
(*.f64 x x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.3% | (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) |
| ✓ | accuracy | 99.2% | (cbrt.f64 x) |
| ✓ | accuracy | 50.3% | (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
| ✓ | accuracy | 48.7% | (/.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)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
| ✓ | accuracy | 99.2% | (cbrt.f64 x) |
| ✓ | accuracy | 99.1% | (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
| ✓ | accuracy | 6.4% | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
| ✓ | accuracy | 100.0% | (pow.f64 x #s(literal -2 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) |
| ✓ | accuracy | 50.9% | (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) |
| ✓ | accuracy | 99.4% | (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 90.3% | (pow.f64 x #s(literal -2/3 binary64)) |
| ✓ | accuracy | 99.4% | (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (-.f64 #s(literal 0 binary64) x))) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (-.f64 #s(literal 0 binary64) x)))) |
| ✓ | accuracy | 99.2% | (cbrt.f64 (-.f64 #s(literal 0 binary64) x)) |
| ✓ | accuracy | 99.1% | (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) |
| 190.0ms | 145× | 1 | valid |
| 154.0ms | 107× | 2 | valid |
| 2.0ms | 4× | 0 | valid |
Compiled 156 to 34 computations (78.2% saved)
...c/correct-round.rkt:119:19: 32.0ms (19.1% of total)backward-pass: 31.0ms (18.5% of total)ival-cbrt: 24.0ms (14.3% of total)ival-pow: 24.0ms (14.3% of total)ival-div: 22.0ms (13.1% of total)ival-mult: 20.0ms (11.9% of total)ival-add: 7.0ms (4.2% of total)ival-sub: 6.0ms (3.6% of total)const: 2.0ms (1.2% of total)| Inputs |
|---|
#<alt (* 1/3 (/ (cbrt (/ -1 x)) (cbrt (- 0 x))))> |
#<alt (/ (cbrt (/ -1 x)) (cbrt (- 0 x)))> |
#<alt (cbrt (/ -1 x))> |
#<alt (/ -1 x)> |
#<alt (* (pow x -2/3) 1/3)> |
#<alt (pow x -2/3)> |
#<alt (* 1/3 (cbrt (pow x -2)))> |
#<alt (cbrt (pow x -2))> |
#<alt (pow x -2)> |
#<alt (- (/ 1 (cbrt (/ 1 (+ x 1)))) (cbrt x))> |
#<alt (/ 1 (cbrt (/ 1 (+ x 1))))> |
#<alt (cbrt (/ 1 (+ x 1)))> |
#<alt (/ 1 (+ x 1))> |
#<alt (/ (+ (* (cbrt x) -1/9) (* 1/3 (cbrt (pow x 4)))) (* x x))> |
#<alt (+ (* (cbrt x) -1/9) (* 1/3 (cbrt (pow x 4))))> |
#<alt (* (cbrt x) -1/9)> |
#<alt (cbrt x)> |
#<alt (cbrt (- 0 x))> |
#<alt (cbrt (pow x 4))> |
| 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 (* (cbrt (/ 1 x)) (cbrt -1))> |
#<alt (* (cbrt (/ 1 x)) (cbrt -1))> |
#<alt (* (cbrt (/ 1 x)) (cbrt -1))> |
#<alt (* (cbrt (/ 1 x)) (cbrt -1))> |
#<alt (* (cbrt (/ 1 x)) (cbrt -1))> |
#<alt (* (cbrt (/ 1 x)) (cbrt -1))> |
#<alt (* (cbrt (/ 1 x)) (cbrt -1))> |
#<alt (* (cbrt (/ 1 x)) (cbrt -1))> |
#<alt (* (cbrt (/ 1 x)) (cbrt -1))> |
#<alt (* (cbrt (/ 1 x)) (cbrt -1))> |
#<alt (* (cbrt (/ 1 x)) (cbrt -1))> |
#<alt (* (cbrt (/ 1 x)) (cbrt -1))> |
#<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 (* 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 (cbrt x))> |
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))> |
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))> |
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))> |
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt 1> |
#<alt (+ 1 (* 1/3 x))> |
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))> |
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))> |
#<alt (cbrt x)> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/3 x))> |
#<alt (+ 1 (* x (- (* 2/9 x) 1/3)))> |
#<alt (+ 1 (* x (- (* x (+ 2/9 (* -14/81 x))) 1/3)))> |
#<alt (cbrt (- (/ 1 x) (/ 1 (pow x 2))))> |
#<alt (+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))))> |
#<alt (+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (+ (* -1/3 (* (/ 1 (pow x 4)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))))> |
#<alt (+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (+ (* -1/3 (* (/ 1 (pow x 4)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (+ (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (pow x 5)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))))))> |
#<alt (cbrt (- (/ 1 x) (/ 1 (pow x 2))))> |
#<alt (+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))))> |
#<alt (+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* -1/3 (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))) (* 1/3 (* (/ 1 x) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))) (pow x 3))))> |
#<alt (+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))) (* 1/3 (* (/ 1 x) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))) x)) (* -1/3 (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (pow x 3))))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- x 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))> |
#<alt (/ 1 x)> |
#<alt (/ (- 1 (/ 1 x)) x)> |
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)> |
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (/ 1 x) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))> |
#<alt (* -1/9 (cbrt (/ 1 (pow x 5))))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<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 (* -1/9 (cbrt x))> |
#<alt (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))> |
#<alt (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))> |
#<alt (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))> |
#<alt (* 1/3 (cbrt (pow x 4)))> |
#<alt (* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* 1/3 (cbrt (pow x 4)))> |
#<alt (* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* -1/9 (cbrt x))> |
#<alt (* -1/9 (cbrt x))> |
#<alt (* -1/9 (cbrt x))> |
#<alt (* -1/9 (cbrt x))> |
#<alt (* -1/9 (cbrt x))> |
#<alt (* -1/9 (cbrt x))> |
#<alt (* -1/9 (cbrt x))> |
#<alt (* -1/9 (cbrt x))> |
#<alt (* 1/9 (* (cbrt x) (cbrt -1)))> |
#<alt (* 1/9 (* (cbrt x) (cbrt -1)))> |
#<alt (* 1/9 (* (cbrt x) (cbrt -1)))> |
#<alt (* 1/9 (* (cbrt x) (cbrt -1)))> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* (cbrt x) (cbrt -1))> |
#<alt (* (cbrt x) (cbrt -1))> |
#<alt (* (cbrt x) (cbrt -1))> |
#<alt (* (cbrt x) (cbrt -1))> |
#<alt (* (cbrt x) (cbrt -1))> |
#<alt (* (cbrt x) (cbrt -1))> |
#<alt (* (cbrt x) (cbrt -1))> |
#<alt (* (cbrt x) (cbrt -1))> |
#<alt (* -1 (cbrt x))> |
#<alt (* -1 (cbrt x))> |
#<alt (* -1 (cbrt x))> |
#<alt (* -1 (cbrt x))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | (pow x -2/3) |
| 1.0ms | x | @ | -inf | (pow x -2/3) |
| 1.0ms | x | @ | 0 | (pow x -2/3) |
| 1.0ms | x | @ | inf | (/ (+ (* (cbrt x) -1/9) (* 1/3 (cbrt (pow x 4)))) (* x x)) |
| 1.0ms | x | @ | 0 | (/ (+ (* (cbrt x) -1/9) (* 1/3 (cbrt (pow x 4)))) (* x x)) |
| 1× | batch-egg-rewrite |
| 4338× | *-lowering-*.f32 |
| 4338× | *-lowering-*.f64 |
| 3772× | /-lowering-/.f32 |
| 3772× | /-lowering-/.f64 |
| 1610× | frac-times |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 117 |
| 1 | 167 | 95 |
| 2 | 1148 | 91 |
| 0 | 8432 | 85 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (/ (cbrt (/ -1 x)) (cbrt (- 0 x)))) |
(/ (cbrt (/ -1 x)) (cbrt (- 0 x))) |
(cbrt (/ -1 x)) |
(/ -1 x) |
(* (pow x -2/3) 1/3) |
(pow x -2/3) |
(* 1/3 (cbrt (pow x -2))) |
(cbrt (pow x -2)) |
(pow x -2) |
(- (/ 1 (cbrt (/ 1 (+ x 1)))) (cbrt x)) |
(/ 1 (cbrt (/ 1 (+ x 1)))) |
(cbrt (/ 1 (+ x 1))) |
(/ 1 (+ x 1)) |
(/ (+ (* (cbrt x) -1/9) (* 1/3 (cbrt (pow x 4)))) (* x x)) |
(+ (* (cbrt x) -1/9) (* 1/3 (cbrt (pow x 4)))) |
(* (cbrt x) -1/9) |
(cbrt x) |
(cbrt (- 0 x)) |
(cbrt (pow x 4)) |
| Outputs |
|---|
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cbrt.f64 x) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))))) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (cbrt.f64 x)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/3 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) (*.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/3 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/3 binary64))) #s(literal 1/3 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))) |
(pow.f64 (/.f64 (cbrt.f64 x) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal -2/3 binary64)))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (pow.f64 x #s(literal -1/3 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64))) (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) |
(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 (log.f64 (*.f64 x x)) #s(literal -1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1/3 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/3 binary64)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/3 binary64)))) |
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal -1/3 binary64)) (*.f64 (log.f64 x) #s(literal -1/3 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/3 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/3 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2/3 binary64)))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2/3 binary64)))) |
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal -2/3 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 x)) |
(/.f64 #s(literal 1 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 binary64))) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))) |
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/3 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))) |
(/.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (pow.f64 x #s(literal 2/3 binary64)))) |
(/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x))) (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) (*.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) (*.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
(/.f64 (*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
(/.f64 (*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (neg.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (pow.f64 x #s(literal 2/3 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/3 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(pow.f64 x #s(literal -2/3 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2/3 binary64)) |
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(/.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 2/3 binary64))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))))) |
(/.f64 (cbrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (cbrt.f64 x)) |
(/.f64 (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/3 binary64))) (neg.f64 (pow.f64 x #s(literal 2/3 binary64)))) |
(pow.f64 x #s(literal 1/3 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) 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 (/.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 x #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) 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 #s(literal 1/3 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/3 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/3 binary64)))) |
(cbrt.f64 x) |
(cbrt.f64 (-.f64 #s(literal 0 binary64) x)) |
(cbrt.f64 (/.f64 x #s(literal -1 binary64))) |
(cbrt.f64 (/.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/3 binary64))) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 x x))))) |
(/.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(/.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))) |
(/.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 x)) |
(/.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 2/3 binary64))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))))) |
(/.f64 (cbrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (cbrt.f64 x)) |
(/.f64 (cbrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/3 binary64))) (neg.f64 (pow.f64 x #s(literal 2/3 binary64)))) |
(pow.f64 x #s(literal 1/3 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) 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 (/.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 x #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) 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 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 4/3 binary64))) |
(cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) |
(pow.f64 x #s(literal 4/3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) |
(*.f64 x (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) x) |
(*.f64 (pow.f64 x #s(literal 4/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 4/3 binary64))) |
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 4/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 4/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 4/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 4/3 binary64))) |
| 1× | egg-herbie |
| 3814× | *-lowering-*.f32 |
| 3814× | *-lowering-*.f64 |
| 1862× | fma-lowering-fma.f32 |
| 1862× | fma-lowering-fma.f64 |
| 1642× | /-lowering-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 227 | 1987 |
| 1 | 628 | 1731 |
| 2 | 1795 | 1711 |
| 3 | 5501 | 1709 |
| 0 | 8054 | 1709 |
| 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))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(/ -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))) |
(* 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 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
1 |
(+ 1 (* 1/3 x)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(cbrt x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
1 |
(+ 1 (* -1/3 x)) |
(+ 1 (* x (- (* 2/9 x) 1/3))) |
(+ 1 (* x (- (* x (+ 2/9 (* -14/81 x))) 1/3))) |
(cbrt (- (/ 1 x) (/ 1 (pow x 2)))) |
(+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))) |
(+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (+ (* -1/3 (* (/ 1 (pow x 4)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))))) |
(+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (+ (* -1/3 (* (/ 1 (pow x 4)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (+ (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (pow x 5)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))))) |
(cbrt (- (/ 1 x) (/ 1 (pow x 2)))) |
(+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))) |
(+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* -1/3 (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))) (* 1/3 (* (/ 1 x) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))) (pow x 3)))) |
(+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))) (* 1/3 (* (/ 1 x) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))) x)) (* -1/3 (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (pow x 3)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(/ 1 x) |
(/ (- 1 (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(/ 1 x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(* -1/9 (cbrt (/ 1 (pow x 5)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(+ (* 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))))) |
(* -1/9 (cbrt x)) |
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) |
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) |
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) |
(* 1/3 (cbrt (pow x 4))) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* 1/3 (cbrt (pow x 4))) |
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* -1/9 (cbrt x)) |
(* -1/9 (cbrt x)) |
(* -1/9 (cbrt x)) |
(* -1/9 (cbrt x)) |
(* -1/9 (cbrt x)) |
(* -1/9 (cbrt x)) |
(* -1/9 (cbrt x)) |
(* -1/9 (cbrt x)) |
(* 1/9 (* (cbrt x) (cbrt -1))) |
(* 1/9 (* (cbrt x) (cbrt -1))) |
(* 1/9 (* (cbrt x) (cbrt -1))) |
(* 1/9 (* (cbrt x) (cbrt -1))) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
| Outputs |
|---|
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #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) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/9 binary64)))) (cbrt.f64 x))) |
(- (+ 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 #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 #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 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 x x)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 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 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 5/81 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 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)) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 1/3 x)) |
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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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1 |
#s(literal 1 binary64) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
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(/ 1 x) |
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(/ (- 1 (/ 1 x)) x) |
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(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
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(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
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(/ 1 x) |
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(* -1/9 (cbrt x)) |
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) |
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(* 1/3 (cbrt (pow x 4))) |
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(* 1/3 (cbrt (pow x 4))) |
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(*.f64 (*.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)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/9 binary64))))) |
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 (*.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)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/9 binary64))))) |
(* -1/9 (cbrt x)) |
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) |
(* -1/9 (cbrt x)) |
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) |
(* -1/9 (cbrt x)) |
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) |
(* -1/9 (cbrt x)) |
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) |
(* -1/9 (cbrt x)) |
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) |
(* -1/9 (cbrt x)) |
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) |
(* -1/9 (cbrt x)) |
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) |
(* -1/9 (cbrt x)) |
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) |
(* 1/9 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64))) |
(* 1/9 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64))) |
(* 1/9 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64))) |
(* 1/9 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/9 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 #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))) |
(* (cbrt x) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(* (cbrt x) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(* (cbrt x) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(* (cbrt x) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(* (cbrt x) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(* (cbrt x) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(* (cbrt x) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(* (cbrt x) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(* -1 (cbrt x)) |
(-.f64 #s(literal 0 binary64) (cbrt.f64 x)) |
(* -1 (cbrt x)) |
(-.f64 #s(literal 0 binary64) (cbrt.f64 x)) |
(* -1 (cbrt x)) |
(-.f64 #s(literal 0 binary64) (cbrt.f64 x)) |
(* -1 (cbrt x)) |
(-.f64 #s(literal 0 binary64) (cbrt.f64 x)) |
(cbrt (pow x 4)) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(cbrt (pow x 4)) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(cbrt (pow x 4)) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(cbrt (pow x 4)) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(cbrt (pow x 4)) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(cbrt (pow x 4)) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(cbrt (pow x 4)) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(cbrt (pow x 4)) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(cbrt (pow x 4)) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(cbrt (pow x 4)) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(cbrt (pow x 4)) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(cbrt (pow x 4)) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
Compiled 23670 to 3004 computations (87.3% saved)
46 alts after pruning (40 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1277 | 23 | 1300 |
| Fresh | 15 | 17 | 32 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1294 | 46 | 1340 |
| Status | Accuracy | Program |
|---|---|---|
| 64.3% | (/.f64 (/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))) x) x) | |
| 96.9% | (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) | |
| 19.3% | (/.f64 (+.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 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 x x)) | |
| 19.2% | (/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64)))) (*.f64 x x)) | |
| 46.6% | (/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))) (*.f64 x x)) | |
| 47.2% | (/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) x))) (*.f64 x x)) | |
| 19.0% | (/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) | |
| 46.3% | (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))) | |
| 96.9% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)) (cbrt.f64 x)) | |
| 46.3% | (/.f64 (*.f64 (*.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (-.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))))) (+.f64 x (+.f64 #s(literal 1 binary64) x))) | |
| ▶ | 96.9% | (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) (*.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))) |
| ▶ | 18.2% | (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)) |
| 89.0% | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) | |
| ▶ | 89.0% | (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
| 3.9% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) | |
| ✓ | 5.8% | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
| ✓ | 6.4% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| ✓ | 1.8% | (-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| 48.4% | (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) | |
| 89.0% | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) | |
| 96.9% | (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) | |
| ✓ | 89.0% | (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
| 44.2% | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))))) | |
| 89.0% | (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) | |
| 47.8% | (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64)) | |
| 96.9% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) (cbrt.f64 x))) #s(literal 1/3 binary64)) | |
| 31.7% | (*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (cbrt.f64 x)) #s(literal 1/3 binary64)) | |
| 89.4% | (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)) | |
| 90.4% | (*.f64 #s(literal 1/3 binary64) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 x)))) | |
| 96.9% | (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))) | |
| 47.7% | (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (cbrt.f64 x)) (cbrt.f64 (-.f64 #s(literal 0 binary64) x)))) | |
| ✓ | 97.1% | (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (-.f64 #s(literal 0 binary64) x)))) |
| 96.9% | (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))) | |
| 96.9% | (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))) | |
| 49.2% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) | |
| 13.4% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x))))) | |
| 8.7% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64)))))))) | |
| 47.4% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 6 binary64))))) | |
| 47.7% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) | |
| ✓ | 47.7% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ▶ | 49.3% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
| 30.3% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) x))) | |
| 31.7% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))))) | |
| ▶ | 18.8% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x)))) |
| 31.7% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x))) | |
| 49.2% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) |
Compiled 1386 to 896 computations (35.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
| ✓ | cost-diff | 128 | (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 12928 | (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)) |
| ✓ | cost-diff | 6080 | (pow.f64 x #s(literal 4 binary64)) |
| ✓ | cost-diff | 0 | (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x)))) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 512 | (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x 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 | (cbrt.f64 #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) (*.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))) |
| 2080× | sum3-define |
| 1890× | *-lowering-*.f32 |
| 1890× | *-lowering-*.f64 |
| 1384× | fma-lowering-fma.f32 |
| 1384× | fma-lowering-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 8589934780 |
| 1 | 89 | 8589934780 |
| 2 | 232 | 8589934750 |
| 3 | 800 | 8589934724 |
| 4 | 2949 | 8589934716 |
| 5 | 5090 | 8589934716 |
| 6 | 7798 | 8589934716 |
| 0 | 8191 | 134 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (* 1/3 (cbrt -1)) (neg (cbrt -1))) (* (cbrt x) (- 0 (cbrt x)))) |
(* (* 1/3 (cbrt -1)) (neg (cbrt -1))) |
(* 1/3 (cbrt -1)) |
1/3 |
(cbrt -1) |
-1 |
(neg (cbrt -1)) |
(* (cbrt x) (- 0 (cbrt x))) |
(cbrt x) |
x |
(- 0 (cbrt x)) |
0 |
(/ 1/3 (pow x 2/3)) |
1/3 |
(pow x 2/3) |
x |
2/3 |
(* 1/3 (cbrt (* (/ (/ -1 x) (- 0 (* x (* x x)))) (* x x)))) |
1/3 |
(cbrt (* (/ (/ -1 x) (- 0 (* x (* x x)))) (* x x))) |
(* (/ (/ -1 x) (- 0 (* x (* x x)))) (* x x)) |
(/ (/ -1 x) (- 0 (* x (* x x)))) |
(/ -1 x) |
-1 |
x |
(- 0 (* x (* x x))) |
0 |
(* x (* x x)) |
(* x x) |
(/ (* 1/3 (cbrt (pow x 4))) (* x x)) |
(* 1/3 (cbrt (pow x 4))) |
1/3 |
(cbrt (pow x 4)) |
(pow x 4) |
x |
4 |
(* x x) |
(* 1/3 (cbrt (* (/ (pow x -1/2) x) (/ (pow x -1/2) 1)))) |
1/3 |
(cbrt (* (/ (pow x -1/2) x) (/ (pow x -1/2) 1))) |
(* (/ (pow x -1/2) x) (/ (pow x -1/2) 1)) |
(/ (pow x -1/2) x) |
(pow x -1/2) |
x |
-1/2 |
(/ (pow x -1/2) 1) |
1 |
| Outputs |
|---|
(/ (* (* 1/3 (cbrt -1)) (neg (cbrt -1))) (* (cbrt x) (- 0 (cbrt x)))) |
(/.f64 (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (cbrt.f64 x)) (cbrt.f64 x)) |
(* (* 1/3 (cbrt -1)) (neg (cbrt -1))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1/3 binary64))) |
(* 1/3 (cbrt -1)) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) |
1/3 |
#s(literal 1/3 binary64) |
(cbrt -1) |
(cbrt.f64 #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(neg (cbrt -1)) |
(-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64))) |
(* (cbrt x) (- 0 (cbrt x))) |
(*.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(cbrt x) |
(cbrt.f64 x) |
x |
(- 0 (cbrt x)) |
(-.f64 #s(literal 0 binary64) (cbrt.f64 x)) |
0 |
#s(literal 0 binary64) |
(/ 1/3 (pow x 2/3)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
1/3 |
#s(literal 1/3 binary64) |
(pow x 2/3) |
(pow.f64 x #s(literal 2/3 binary64)) |
x |
2/3 |
#s(literal 2/3 binary64) |
(* 1/3 (cbrt (* (/ (/ -1 x) (- 0 (* x (* x x)))) (* 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) (- 0 (* x (* x x)))) (* x x))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(* (/ (/ -1 x) (- 0 (* x (* x x)))) (* x x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (/ -1 x) (- 0 (* x (* x x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
-1 |
#s(literal -1 binary64) |
x |
(- 0 (* x (* x x))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) |
0 |
#s(literal 0 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(/ (* 1/3 (cbrt (pow x 4))) (* x x)) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(* 1/3 (cbrt (pow x 4))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x))))) |
1/3 |
#s(literal 1/3 binary64) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
x |
4 |
#s(literal 4 binary64) |
(* x x) |
(*.f64 x x) |
(* 1/3 (cbrt (* (/ (pow x -1/2) x) (/ (pow x -1/2) 1)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
1/3 |
#s(literal 1/3 binary64) |
(cbrt (* (/ (pow x -1/2) x) (/ (pow x -1/2) 1))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(* (/ (pow x -1/2) x) (/ (pow x -1/2) 1)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (pow x -1/2) x) |
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) |
(pow x -1/2) |
(pow.f64 x #s(literal -1/2 binary64)) |
x |
-1/2 |
#s(literal -1/2 binary64) |
(/ (pow x -1/2) 1) |
(pow.f64 x #s(literal -1/2 binary64)) |
1 |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
| ✓ | accuracy | 50.9% | (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) |
| ✓ | accuracy | 50.3% | (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
| ✓ | accuracy | 48.7% | (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x)))) |
| ✓ | accuracy | 50.9% | (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x))) |
| ✓ | accuracy | 22.1% | (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
| ✓ | accuracy | 90.5% | (pow.f64 x #s(literal 2/3 binary64)) |
| ✓ | accuracy | 100.0% | (cbrt.f64 #s(literal -1 binary64)) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) (*.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))) |
| ✓ | accuracy | 99.3% | (*.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
| ✓ | accuracy | 99.2% | (cbrt.f64 x) |
| 152.0ms | 256× | 0 | valid |
Compiled 228 to 37 computations (83.8% saved)
ival-pow: 19.0ms (25.8% of total)ival-mult: 16.0ms (21.7% of total)ival-div: 12.0ms (16.3% of total)...c/correct-round.rkt:119:19: 12.0ms (16.3% of total)ival-cbrt: 10.0ms (13.6% of total)ival-sub: 3.0ms (4.1% of total)const: 1.0ms (1.4% of total)ival-neg: 1.0ms (1.4% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (* (* 1/3 (cbrt -1)) (neg (cbrt -1))) (* (cbrt x) (- 0 (cbrt x))))> |
#<alt (* (* 1/3 (cbrt -1)) (neg (cbrt -1)))> |
#<alt (* 1/3 (cbrt -1))> |
#<alt (cbrt -1)> |
#<alt (/ 1/3 (pow x 2/3))> |
#<alt (pow x 2/3)> |
#<alt (* (/ (/ -1 x) (- 0 (* x (* x x)))) (* x x))> |
#<alt (/ (/ -1 x) (- 0 (* x (* x x))))> |
#<alt (* 1/3 (cbrt (* (/ (/ -1 x) (- 0 (* x (* x x)))) (* x x))))> |
#<alt (cbrt (* (/ (/ -1 x) (- 0 (* x (* x x)))) (* x x)))> |
#<alt (pow x 4)> |
#<alt (/ (* 1/3 (cbrt (pow x 4))) (* x x))> |
#<alt (* 1/3 (cbrt (pow x 4)))> |
#<alt (cbrt (pow x 4))> |
#<alt (* (/ (pow x -1/2) x) (/ (pow x -1/2) 1))> |
#<alt (/ (pow x -1/2) 1)> |
#<alt (* 1/3 (cbrt (* (/ (pow x -1/2) x) (/ (pow x -1/2) 1))))> |
#<alt (cbrt (* (/ (pow x -1/2) x) (/ (pow x -1/2) 1)))> |
#<alt (cbrt x)> |
#<alt (* (cbrt x) (- 0 (cbrt x)))> |
#<alt (* x (* x x))> |
#<alt (* x x)> |
#<alt (/ (pow x -1/2) x)> |
| Outputs |
|---|
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 2)))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 2)))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 2)))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 2)))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 2)))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 2)))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 2)))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 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 (* 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 (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 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<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 (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<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 (* 1/3 (cbrt (pow x 4)))> |
#<alt (* 1/3 (cbrt (pow x 4)))> |
#<alt (* 1/3 (cbrt (pow x 4)))> |
#<alt (* 1/3 (cbrt (pow x 4)))> |
#<alt (* 1/3 (cbrt (pow x 4)))> |
#<alt (* 1/3 (cbrt (pow x 4)))> |
#<alt (* 1/3 (cbrt (pow x 4)))> |
#<alt (* 1/3 (cbrt (pow x 4)))> |
#<alt (* 1/3 (cbrt (pow x 4)))> |
#<alt (* 1/3 (cbrt (pow x 4)))> |
#<alt (* 1/3 (cbrt (pow x 4)))> |
#<alt (* 1/3 (cbrt (pow x 4)))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<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 (sqrt -1) 2) (pow x 2)))> |
#<alt (* -1 (/ (pow (sqrt -1) 2) (pow x 2)))> |
#<alt (* -1 (/ (pow (sqrt -1) 2) (pow x 2)))> |
#<alt (* -1 (/ (pow (sqrt -1) 2) (pow x 2)))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 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 (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1)))> |
#<alt (* 1/3 (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1)))> |
#<alt (* 1/3 (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1)))> |
#<alt (* 1/3 (* (cbrt (/ (pow (sqrt -1) 2) (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 (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1))> |
#<alt (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1))> |
#<alt (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1))> |
#<alt (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (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 (cbrt (pow x 2)))> |
#<alt (* -1 (cbrt (pow x 2)))> |
#<alt (* -1 (cbrt (pow x 2)))> |
#<alt (* -1 (cbrt (pow x 2)))> |
#<alt (* -1 (cbrt (pow x 2)))> |
#<alt (* -1 (cbrt (pow x 2)))> |
#<alt (* -1 (cbrt (pow x 2)))> |
#<alt (* -1 (cbrt (pow x 2)))> |
#<alt (* (cbrt (pow x 2)) (pow (cbrt -1) 3))> |
#<alt (* (cbrt (pow x 2)) (pow (cbrt -1) 3))> |
#<alt (* (cbrt (pow x 2)) (pow (cbrt -1) 3))> |
#<alt (* (cbrt (pow x 2)) (pow (cbrt -1) 3))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<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 (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (sqrt (/ 1 (pow x 3)))> |
#<alt (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | -inf | (pow x 2/3) |
| 3.0ms | x | @ | -inf | (* 1/3 (cbrt (* (/ (pow x -1/2) x) (/ (pow x -1/2) 1)))) |
| 1.0ms | x | @ | inf | (pow x 2/3) |
| 1.0ms | x | @ | 0 | (pow x 2/3) |
| 1.0ms | x | @ | -inf | (* (/ (pow x -1/2) x) (/ (pow x -1/2) 1)) |
| 1× | batch-egg-rewrite |
| 734× | /-lowering-/.f32 |
| 734× | /-lowering-/.f64 |
| 706× | *-lowering-*.f32 |
| 706× | *-lowering-*.f64 |
| 130× | pow-lowering-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 160 |
| 1 | 189 | 123 |
| 0 | 1322 | 120 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (* 1/3 (cbrt -1)) (neg (cbrt -1))) (* (cbrt x) (- 0 (cbrt x)))) |
(* (* 1/3 (cbrt -1)) (neg (cbrt -1))) |
(* 1/3 (cbrt -1)) |
(cbrt -1) |
(/ 1/3 (pow x 2/3)) |
(pow x 2/3) |
(* (/ (/ -1 x) (- 0 (* x (* x x)))) (* x x)) |
(/ (/ -1 x) (- 0 (* x (* x x)))) |
(* 1/3 (cbrt (* (/ (/ -1 x) (- 0 (* x (* x x)))) (* x x)))) |
(cbrt (* (/ (/ -1 x) (- 0 (* x (* x x)))) (* x x))) |
(pow x 4) |
(/ (* 1/3 (cbrt (pow x 4))) (* x x)) |
(* 1/3 (cbrt (pow x 4))) |
(cbrt (pow x 4)) |
(* (/ (pow x -1/2) x) (/ (pow x -1/2) 1)) |
(/ (pow x -1/2) 1) |
(* 1/3 (cbrt (* (/ (pow x -1/2) x) (/ (pow x -1/2) 1)))) |
(cbrt (* (/ (pow x -1/2) x) (/ (pow x -1/2) 1))) |
(cbrt x) |
(* (cbrt x) (- 0 (cbrt x))) |
(* x (* x x)) |
(* x x) |
(/ (pow x -1/2) x) |
| Outputs |
|---|
(neg.f64 (*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64)))))) |
(neg.f64 (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64)))))) |
(neg.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) (cbrt.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
(/.f64 (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x)) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))))) (cbrt.f64 x)) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) (cbrt.f64 x)) |
(pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64))))))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64)))))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (neg.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.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)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64))))))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
(*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64)))))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x)) (neg.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))))) |
(*.f64 (neg.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))) (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))) |
(*.f64 (neg.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64))))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (/.f64 (neg.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) (/.f64 (neg.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal -1 binary64)))) (cbrt.f64 x))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) (/.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x)) (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) (-.f64 #s(literal 0 binary64) x)) (pow.f64 x #s(literal 2/3 binary64))) |
(*.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64)))) (cbrt.f64 x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))))) |
(neg.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))))) |
(*.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal -1 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64))))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal -1 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (cbrt.f64 #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) (cbrt.f64 #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal -1 binary64))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) |
(exp.f64 (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64))) |
(cbrt.f64 #s(literal -1 binary64)) |
(pow.f64 #s(literal -1 binary64) #s(literal 1/3 binary64)) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64))) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(pow.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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 0 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(+.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 0 binary64)) |
(exp.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x))) |
(cbrt.f64 (*.f64 x x)) |
(fma.f64 (cbrt.f64 x) (cbrt.f64 x) #s(literal 0 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 x #s(literal 4/3 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 0 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 0 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4/3 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(pow.f64 x #s(literal 2/3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2/3 binary64)) |
(*.f64 (cbrt.f64 x) (cbrt.f64 x)) |
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x) (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x)) (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (*.f64 x x)) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x (*.f64 x x))) x) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x x))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x x)))) |
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))) |
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(+.f64 (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x x))) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 0 binary64)))) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 x x) |
(neg.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))))) |
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) |
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) x)) |
| 1× | egg-herbie |
| 1210× | fma-define |
| 1002× | sum3-define |
| 348× | fma-lowering-fma.f32 |
| 348× | fma-lowering-fma.f64 |
| 308× | *-lowering-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 1308 |
| 1 | 85 | 1108 |
| 2 | 163 | 1100 |
| 3 | 240 | 1100 |
| 4 | 334 | 1100 |
| 5 | 475 | 1100 |
| 6 | 642 | 1100 |
| 7 | 821 | 1100 |
| 8 | 1110 | 1100 |
| 9 | 1459 | 1100 |
| 10 | 2332 | 1100 |
| 11 | 2335 | 1100 |
| 0 | 2335 | 1100 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 2))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 2))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 2))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 2))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 2))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 2))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 2))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 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)))) |
(* 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 (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 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(* 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))) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(* 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 (pow x 4))) |
(* 1/3 (cbrt (pow x 4))) |
(* 1/3 (cbrt (pow x 4))) |
(* 1/3 (cbrt (pow x 4))) |
(* 1/3 (cbrt (pow x 4))) |
(* 1/3 (cbrt (pow x 4))) |
(* 1/3 (cbrt (pow x 4))) |
(* 1/3 (cbrt (pow x 4))) |
(* 1/3 (cbrt (pow x 4))) |
(* 1/3 (cbrt (pow x 4))) |
(* 1/3 (cbrt (pow x 4))) |
(* 1/3 (cbrt (pow x 4))) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(/ 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 (sqrt -1) 2) (pow x 2))) |
(* -1 (/ (pow (sqrt -1) 2) (pow x 2))) |
(* -1 (/ (pow (sqrt -1) 2) (pow x 2))) |
(* -1 (/ (pow (sqrt -1) 2) (pow x 2))) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 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 (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1))) |
(* 1/3 (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1))) |
(* 1/3 (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1))) |
(* 1/3 (* (cbrt (/ (pow (sqrt -1) 2) (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 (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1)) |
(* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1)) |
(* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1)) |
(* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (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 (cbrt (pow x 2))) |
(* -1 (cbrt (pow x 2))) |
(* -1 (cbrt (pow x 2))) |
(* -1 (cbrt (pow x 2))) |
(* -1 (cbrt (pow x 2))) |
(* -1 (cbrt (pow x 2))) |
(* -1 (cbrt (pow x 2))) |
(* -1 (cbrt (pow x 2))) |
(* (cbrt (pow x 2)) (pow (cbrt -1) 3)) |
(* (cbrt (pow x 2)) (pow (cbrt -1) 3)) |
(* (cbrt (pow x 2)) (pow (cbrt -1) 3)) |
(* (cbrt (pow x 2)) (pow (cbrt -1) 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(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) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) |
| Outputs |
|---|
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 2))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 2))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 2))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 2))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 2))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 2))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 2))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (pow (cbrt -1) 2))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(cbrt (pow x 2)) |
(cbrt.f64 (*.f64 x x)) |
(cbrt (pow x 2)) |
(cbrt.f64 (*.f64 x x)) |
(cbrt (pow x 2)) |
(cbrt.f64 (*.f64 x x)) |
(cbrt (pow x 2)) |
(cbrt.f64 (*.f64 x x)) |
(cbrt (pow x 2)) |
(cbrt.f64 (*.f64 x x)) |
(cbrt (pow x 2)) |
(cbrt.f64 (*.f64 x x)) |
(cbrt (pow x 2)) |
(cbrt.f64 (*.f64 x x)) |
(cbrt (pow x 2)) |
(cbrt.f64 (*.f64 x x)) |
(* -1 (* (cbrt (pow x 2)) (cbrt -1))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (cbrt (pow x 2)) (cbrt -1))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (cbrt (pow x 2)) (cbrt -1))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (cbrt (pow x 2)) (cbrt -1))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
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(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
Compiled 8449 to 1106 computations (86.9% saved)
48 alts after pruning (42 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 590 | 13 | 603 |
| Fresh | 6 | 29 | 35 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 5 | 6 |
| Total | 601 | 48 | 649 |
| Status | Accuracy | Program |
|---|---|---|
| 64.3% | (/.f64 (/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))) x) x) | |
| 96.9% | (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) | |
| 19.3% | (/.f64 (+.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 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 x x)) | |
| 19.2% | (/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64)))) (*.f64 x x)) | |
| 47.2% | (/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) x))) (*.f64 x x)) | |
| 19.0% | (/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) | |
| 46.3% | (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))) | |
| 96.9% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)) (cbrt.f64 x)) | |
| 46.3% | (/.f64 (*.f64 (*.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (-.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))))) (+.f64 x (+.f64 #s(literal 1 binary64) x))) | |
| 63.6% | (/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 x #s(literal 4/3 binary64)) x)) x) | |
| 42.6% | (/.f64 (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/3 binary64)))) (*.f64 x x)) | |
| 18.2% | (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x))) (*.f64 x x)) | |
| 18.2% | (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x)) | |
| 89.0% | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) | |
| 97.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))))) | |
| 96.9% | (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) | |
| ✓ | 89.0% | (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
| 47.8% | (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))) | |
| 3.9% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) | |
| ✓ | 5.8% | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
| ✓ | 6.4% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| ✓ | 1.8% | (-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| 48.4% | (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) | |
| 89.0% | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) | |
| 96.9% | (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) | |
| ✓ | 89.0% | (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
| 63.6% | (*.f64 (/.f64 (pow.f64 x #s(literal 4/3 binary64)) x) (/.f64 #s(literal 1/3 binary64) x)) | |
| 44.2% | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))))) | |
| 96.9% | (*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x)) (neg.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))))) | |
| 89.0% | (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) | |
| 47.8% | (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64)) | |
| 96.9% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) (cbrt.f64 x))) #s(literal 1/3 binary64)) | |
| 31.7% | (*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (cbrt.f64 x)) #s(literal 1/3 binary64)) | |
| 90.4% | (*.f64 #s(literal 1/3 binary64) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 x)))) | |
| 96.9% | (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))) | |
| 47.7% | (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (cbrt.f64 x)) (cbrt.f64 (-.f64 #s(literal 0 binary64) x)))) | |
| 97.1% | (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))) | |
| 96.9% | (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))) | |
| 96.9% | (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))) | |
| 30.3% | (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x (*.f64 x x)))) (cbrt.f64 x))) | |
| 49.3% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x (pow.f64 x #s(literal -1/2 binary64)))))) | |
| 49.2% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) | |
| 47.4% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 6 binary64))))) | |
| 47.7% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) | |
| ✓ | 47.7% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 31.7% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))))) | |
| 18.8% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (*.f64 x x)))) | |
| 49.2% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) |
Compiled 2054 to 871 computations (57.6% 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 #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 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #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 (/.f64 (pow.f64 x #s(literal 4/3 binary64)) x) (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 x #s(literal 4/3 binary64)) 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 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) x))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x))) (*.f64 x x)) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (*.f64 x x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) x))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64)))))))) |
(*.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 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(*.f64 #s(literal 1/3 binary64) (exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64))))) |
(-.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) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (-.f64 #s(literal 0 binary64) x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) (cbrt.f64 x))) #s(literal 1/3 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/3 binary64)))) (*.f64 x x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))) x) x) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (cbrt.f64 x)) #s(literal 1/3 binary64)) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) x))) (*.f64 x x)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x (*.f64 x x)))) (cbrt.f64 x))) |
(-.f64 (cbrt.f64 (*.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)))))) (cbrt.f64 x)) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))))) |
(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x)) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 6 binary64))))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))) |
(-.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 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2/3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x (pow.f64 x #s(literal -1/2 binary64)))))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 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 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))) (*.f64 x x)) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/2 binary64)))))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (cbrt.f64 x)) (cbrt.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))) |
(neg.f64 (/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))) |
(/.f64 (*.f64 (*.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (-.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))))) (+.f64 x (+.f64 #s(literal 1 binary64) 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)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x)) (neg.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) (*.f64 (cbrt.f64 x) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))))) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) (*.f64 x x)) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64)))) (*.f64 x x)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (cbrt.f64 x)))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))))) |
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (cbrt.f64 x)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (exp.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (log.f64 x) #s(literal 2 binary64))))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (log.f64 x) #s(literal 2 binary64)))))) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(/.f64 (+.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.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 (*.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 #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 (*.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 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64)) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) (*.f64 x x)) |
(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))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))))) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (+.f64 (*.f64 #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 -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 (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 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))) |
2 calls:
| 28.0ms | x |
| 24.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 1 | x |
| 97.1% | 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 #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 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #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 (/.f64 (pow.f64 x #s(literal 4/3 binary64)) x) (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 x #s(literal 4/3 binary64)) 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 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) x))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x))) (*.f64 x x)) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (*.f64 x x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) x))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64)))))))) |
(*.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 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(*.f64 #s(literal 1/3 binary64) (exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64))))) |
(-.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)) |
| Outputs |
|---|
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
2 calls:
| 13.0ms | x |
| 8.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 96.9% | 1 | x |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))) |
(*.f64 #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 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #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 (/.f64 (pow.f64 x #s(literal 4/3 binary64)) x) (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 x #s(literal 4/3 binary64)) 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 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) x))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x))) (*.f64 x x)) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (*.f64 x x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) x))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64)))))))) |
(*.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)) |
| Outputs |
|---|
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
1 calls:
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))) |
(*.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 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #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 (/.f64 (pow.f64 x #s(literal 4/3 binary64)) x) (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 x #s(literal 4/3 binary64)) 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 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) x))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x))) (*.f64 x x)) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (*.f64 x x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) x))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64)))))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) |
| Outputs |
|---|
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
1 calls:
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.3% | 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 |
|---|---|---|
| 89.0% | 1 | x |
Compiled 2 to 1 computations (50% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 1.8% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 1.208550158053456e+154 | 1.569433611454982e+155 |
| 14.0ms | 96× | 1 | valid |
Compiled 102 to 81 computations (20.6% saved)
ival-cbrt: 3.0ms (47.2% of total)ival-add: 1.0ms (15.7% of total)ival-sub: 1.0ms (15.7% of total)backward-pass: 1.0ms (15.7% of total)const: 0.0ms (0% of total)| 1× | egg-herbie |
| 8× | *-commutative_binary64 |
| 4× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 45 |
| 1 | 32 | 45 |
| 2 | 36 | 45 |
| 3 | 38 | 45 |
| 4 | 39 | 45 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| Outputs |
|---|
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| 4338× | *-lowering-*.f32 |
| 4338× | *-lowering-*.f64 |
| 3772× | /-lowering-/.f32 |
| 3772× | /-lowering-/.f64 |
| 3426× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 117 |
| 1 | 167 | 95 |
| 2 | 1148 | 91 |
| 0 | 8432 | 85 |
| 0 | 25 | 86 |
| 1 | 153 | 76 |
| 2 | 1014 | 75 |
| 0 | 8007 | 74 |
| 0 | 36 | 160 |
| 1 | 189 | 123 |
| 0 | 1322 | 120 |
| 0 | 146 | 551 |
| 1 | 387 | 495 |
| 2 | 1086 | 488 |
| 3 | 3271 | 483 |
| 0 | 8118 | 483 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 182 to 131 computations (28% saved)
Compiled 160 to 82 computations (48.8% saved)
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