
Time bar (total: 10.9s)
| 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 11 computations (26.7% saved)
| 1.1s | 6 267× | 1 | valid |
| 319.0ms | 1 706× | 2 | valid |
| 31.0ms | 283× | 0 | valid |
ival-cbrt: 285.0ms (27.5% of total)adjust: 184.0ms (17.7% of total)const: 173.0ms (16.7% of total)ival-sub: 157.0ms (15.1% of total)ival-add: 117.0ms (11.3% of total)ival->: 64.0ms (6.2% of total)ival-<: 22.0ms (2.1% of total)ival-and: 17.0ms (1.6% of total)exact: 12.0ms (1.2% of total)ival-assert: 6.0ms (0.6% of total)| 2× | egg-herbie |
| 80× | accelerator-lowering-fma.f32 |
| 80× | accelerator-lowering-fma.f64 |
| 74× | sub-neg |
| 48× | *-lowering-*.f32 |
| 48× | *-lowering-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 26 |
| 1 | 25 | 24 |
| 2 | 51 | 23 |
| 3 | 90 | 23 |
| 4 | 145 | 23 |
| 5 | 214 | 23 |
| 6 | 268 | 23 |
| 7 | 299 | 23 |
| 8 | 342 | 23 |
| 9 | 357 | 23 |
| 10 | 365 | 23 |
| 0 | 6 | 7 |
| 1 | 11 | 7 |
| 2 | 15 | 7 |
| 3 | 21 | 7 |
| 4 | 29 | 7 |
| 5 | 44 | 7 |
| 6 | 76 | 7 |
| 7 | 101 | 7 |
| 8 | 143 | 7 |
| 9 | 158 | 7 |
| 10 | 166 | 7 |
| 0 | 166 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- (cbrt (+ x 1)) (cbrt x)) |
| Outputs |
|---|
(- (cbrt (+ x 1)) (cbrt x)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Inputs |
|---|
(- (cbrt (+ x 1)) (cbrt x)) |
(- (cbrt (+ (neg x) 1)) (cbrt (neg x))) |
(neg (- (cbrt (+ (neg x) 1)) (cbrt (neg x)))) |
| Outputs |
|---|
(- (cbrt (+ x 1)) (cbrt x)) |
(- (cbrt (+ (neg x) 1)) (cbrt (neg x))) |
(- (cbrt (- 1 x)) (cbrt (neg x))) |
(neg (- (cbrt (+ (neg x) 1)) (cbrt (neg x)))) |
(- (cbrt (neg x)) (cbrt (- 1 x))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 256 | 0 | - | 0 | - | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (cbrt.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) | cancellation | 256 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 256 | 0 |
| - | 0 | 0 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 256 | 0 | 0 |
| - | 0 | 0 | 0 |
| number | freq |
|---|---|
| 1 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 39.0ms | 392× | 1 | valid |
| 17.0ms | 114× | 2 | valid |
| 0.0ms | 6× | 0 | valid |
Compiled 56 to 28 computations (50% saved)
ival-cbrt: 16.0ms (44.2% of total)adjust: 7.0ms (19.4% of total)ival-sub: 7.0ms (19.4% of total)ival-add: 6.0ms (16.6% of total)exact: 1.0ms (2.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 5.6% | (-.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)) |
| 80× | accelerator-lowering-fma.f32 |
| 80× | accelerator-lowering-fma.f64 |
| 48× | *-lowering-*.f32 |
| 48× | *-lowering-*.f64 |
| 36× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 1 | 11 | 18 |
| 2 | 15 | 18 |
| 3 | 21 | 18 |
| 4 | 29 | 18 |
| 5 | 44 | 18 |
| 6 | 76 | 18 |
| 7 | 101 | 18 |
| 8 | 143 | 18 |
| 9 | 158 | 18 |
| 10 | 166 | 18 |
| 0 | 166 | 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 | 99.3% | (cbrt.f64 x) |
| ✓ | accuracy | 99.2% | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 5.6% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 18.0ms | 196× | 1 | valid |
| 10.0ms | 57× | 2 | valid |
| 0.0ms | 3× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-cbrt: 9.0ms (48.7% of total)adjust: 3.0ms (16.2% of total)ival-sub: 3.0ms (16.2% of total)ival-add: 3.0ms (16.2% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% 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)) |
| 3.0ms | x | @ | -inf | (cbrt x) |
| 1.0ms | x | @ | 0 | (cbrt x) |
| 1.0ms | x | @ | inf | (cbrt x) |
| 1× | batch-egg-rewrite |
| 5 430× | accelerator-lowering-fma.f32 |
| 5 430× | accelerator-lowering-fma.f64 |
| 2 846× | *-lowering-*.f32 |
| 2 846× | *-lowering-*.f64 |
| 2 158× | pow-lowering-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 1 | 39 | 16 |
| 2 | 278 | 16 |
| 3 | 3091 | 16 |
| 0 | 9080 | 16 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (cbrt (+ x 1)) (cbrt x)) |
(cbrt (+ x 1)) |
(+ x 1) |
(cbrt x) |
| Outputs |
|---|
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(+.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))) |
(+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (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 (fma.f64 x x x))))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)))) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(-.f64 #s(literal 0 binary64) (-.f64 (cbrt.f64 x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)))) |
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (/.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 (fma.f64 x x x)))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)))) |
(-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal 0 binary64)) (cbrt.f64 x)) |
(fma.f64 #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 (+.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 (fma.f64 x x x))))) (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 (fma.f64 x x x))))))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (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 (fma.f64 x x x))))))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(fma.f64 (cbrt.f64 x) #s(literal -1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #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 (fma.f64 x x x))))) (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 (fma.f64 x x x))))))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 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 2/3 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (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 (fma.f64 x x x))))))) |
(fma.f64 (fma.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 (fma.f64 x x x))))) (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 (fma.f64 x x x))))))) |
(fma.f64 (cbrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(fma.f64 (cbrt.f64 (fma.f64 x x #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 #s(literal -1 binary64) (cbrt.f64 x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))) |
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(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (fma.f64 x (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (cbrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1/3 binary64))) |
(/.f64 (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1/3 binary64))) |
(/.f64 (cbrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) |
(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))) |
(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (exp.f64 (log.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (log1p.f64 (fma.f64 x x x)))) |
(/.f64 (exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64)))) (exp.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(/.f64 (cbrt.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (cbrt.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (cbrt.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) (cbrt.f64 (*.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (cbrt.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) (cbrt.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (neg.f64 (cbrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1/3 binary64))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (neg.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64))) #s(literal 3 binary64))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/3 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 6 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 x)) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) |
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (exp.f64 (log.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (fma.f64 x x x))))) |
(*.f64 (exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64)))) (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (+.f64 x #s(literal -1 binary64)))))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/9 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/9 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/9 binary64)) #s(literal 3 binary64))) |
(exp.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 x) #s(literal 0 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 1/6 binary64))) |
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 2/3 binary64))) |
(cbrt.f64 x) |
(pow.f64 x #s(literal 1/3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) |
(*.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/9 binary64)) (pow.f64 x #s(literal 2/9 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64)))) |
| 1× | egg-herbie |
| 6 306× | accelerator-lowering-fma.f32 |
| 6 306× | accelerator-lowering-fma.f64 |
| 4 226× | *-lowering-*.f32 |
| 4 226× | *-lowering-*.f64 |
| 1 638× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 146 | 602 |
| 1 | 350 | 564 |
| 2 | 900 | 564 |
| 3 | 2613 | 561 |
| 4 | 5976 | 561 |
| 0 | 8122 | 528 |
| 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)) |
(fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(fma.f64 x (fma.f64 x #s(literal -1/9 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/81 binary64) #s(literal -1/9 binary64)) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 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 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.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 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 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 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.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))) (fma.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))) #s(literal 0 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 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.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 (fma.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)) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(fma.f64 x (fma.f64 x #s(literal -1/9 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/81 binary64) #s(literal -1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(cbrt x) |
(cbrt.f64 x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(*.f64 x (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(* 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 (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(fma.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) #s(literal 0 binary64)) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(fma.f64 (fma.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) #s(literal 0 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 #s(literal 0 binary64) (fma.f64 x (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 x x)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.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))) (fma.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))) #s(literal 0 binary64))) (*.f64 x (*.f64 x x)))) (*.f64 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) |
(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))) |
(fma.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) #s(literal 0 binary64)) |
(* -1 (* (cbrt x) (cbrt -1))) |
(fma.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) #s(literal 0 binary64)) |
(* -1 (* (cbrt x) (cbrt -1))) |
(fma.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) #s(literal 0 binary64)) |
(* -1 (* (cbrt x) (cbrt -1))) |
(fma.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) #s(literal 0 binary64)) |
Compiled 8 425 to 1 302 computations (84.5% saved)
30 alts after pruning (29 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 376 | 29 | 405 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 376 | 30 | 406 |
| Status | Accuracy | Program |
|---|---|---|
| 5.4% | (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))))) | |
| 5.1% | (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))))) | |
| 4.9% | (fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))) | |
| ▶ | 6.7% | (fma.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
| 4.1% | (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) | |
| 25.3% | (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.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)) | |
| ▶ | 25.1% | (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)) |
| 25.0% | (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)) | |
| 3.3% | (/.f64 (-.f64 (pow.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 (fma.f64 x x x))))) #s(literal 3 binary64)) (pow.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 (fma.f64 x x x))))) #s(literal 3 binary64))) (+.f64 (pow.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 (fma.f64 x x x))))) #s(literal 2 binary64)) (+.f64 (pow.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 (fma.f64 x x x))))) #s(literal 2 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 (fma.f64 x x x))))) (/.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 (fma.f64 x x x))))))))) | |
| 4.4% | (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))))) | |
| 4.1% | (-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64)) (cbrt.f64 x)) | |
| 4.6% | (-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x)) | |
| 5.8% | (-.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 (fma.f64 x x x))))) (/.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 (fma.f64 x x x)))))) | |
| 5.5% | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) (cbrt.f64 x)) | |
| 6.7% | (-.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)))) (cbrt.f64 x)) | |
| 4.1% | (-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x)) | |
| 6.7% | (-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| 5.4% | (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| 4.0% | (-.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 x))) (cbrt.f64 x)) | |
| 5.6% | (-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) | |
| 6.7% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) | |
| 6.7% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) | |
| 5.4% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) | |
| 6.7% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| 5.7% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 x) #s(literal 0 binary64)))) | |
| ✓ | 5.6% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| ▶ | 5.5% | (-.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
| 5.1% | (-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x)) | |
| ▶ | 1.8% | (-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| ▶ | 49.4% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
Compiled 1 140 to 598 computations (47.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64)) |
| ✓ | cost-diff | 0 | (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) |
| ✓ | cost-diff | 0 | (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| ✓ | cost-diff | 0 | (-.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
| ✓ | cost-diff | 1792 | (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (cbrt.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| ✓ | cost-diff | -64 | (*.f64 x x) |
| ✓ | cost-diff | -64 | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.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))) |
| 3 968× | accelerator-lowering-fma.f32 |
| 3 968× | accelerator-lowering-fma.f64 |
| 1 840× | *-lowering-*.f32 |
| 1 840× | *-lowering-*.f64 |
| 1 078× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 215 |
| 1 | 62 | 206 |
| 2 | 89 | 198 |
| 3 | 121 | 198 |
| 4 | 156 | 198 |
| 5 | 228 | 198 |
| 6 | 319 | 198 |
| 7 | 410 | 198 |
| 8 | 442 | 198 |
| 9 | 492 | 198 |
| 10 | 537 | 198 |
| 11 | 684 | 198 |
| 12 | 1199 | 198 |
| 13 | 2432 | 198 |
| 14 | 3198 | 198 |
| 15 | 5266 | 198 |
| 16 | 6096 | 198 |
| 17 | 6446 | 198 |
| 18 | 6478 | 198 |
| 19 | 6494 | 198 |
| 20 | 6504 | 198 |
| 21 | 6613 | 198 |
| 22 | 6646 | 198 |
| 23 | 6646 | 198 |
| 24 | 6646 | 198 |
| 25 | 6654 | 198 |
| 26 | 6702 | 198 |
| 27 | 6834 | 198 |
| 28 | 6858 | 198 |
| 29 | 6858 | 198 |
| 0 | 6858 | 193 |
| 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 (* (sqrt (+ x 1)) (sqrt (+ x 1)))) (cbrt x)) |
(cbrt (* (sqrt (+ x 1)) (sqrt (+ x 1)))) |
(* (sqrt (+ x 1)) (sqrt (+ x 1))) |
(sqrt (+ x 1)) |
(+ x 1) |
x |
1 |
(cbrt x) |
(/ (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (+ (* 5/81 (cbrt (/ 1 (* x x)))) (* (cbrt x) -1/9))) (* x x)) |
(+ (* 1/3 (cbrt (* (* x x) (* x x)))) (+ (* 5/81 (cbrt (/ 1 (* x x)))) (* (cbrt x) -1/9))) |
1/3 |
(cbrt (* (* x x) (* x x))) |
(* (* x x) (* x x)) |
(* x x) |
x |
(+ (* 5/81 (cbrt (/ 1 (* x x)))) (* (cbrt x) -1/9)) |
5/81 |
(cbrt (/ 1 (* x x))) |
(/ 1 (* x x)) |
1 |
(* (cbrt x) -1/9) |
(cbrt x) |
-1/9 |
(+ (* (cbrt (pow (+ x 1) 5/6)) (cbrt (pow (+ x 1) 1/6))) (- 0 (cbrt x))) |
(cbrt (pow (+ x 1) 5/6)) |
(pow (+ x 1) 5/6) |
(+ x 1) |
x |
1 |
5/6 |
(cbrt (pow (+ x 1) 1/6)) |
(pow (+ x 1) 1/6) |
1/6 |
(- 0 (cbrt x)) |
0 |
(cbrt x) |
| Outputs |
|---|
(* 1/3 (cbrt (/ 1 (* x x)))) |
(fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
(cbrt (/ 1 (* x x))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/ 1 (* x x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
1 |
#s(literal 1 binary64) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
1 |
#s(literal 1 binary64) |
(cbrt x) |
(cbrt.f64 x) |
x |
(- (cbrt (* (sqrt (+ x 1)) (sqrt (+ x 1)))) (cbrt x)) |
(-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) |
(cbrt (* (sqrt (+ x 1)) (sqrt (+ x 1)))) |
(cbrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(* (sqrt (+ x 1)) (sqrt (+ x 1))) |
(+.f64 #s(literal 1 binary64) x) |
(sqrt (+ x 1)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+ x 1) |
(+.f64 #s(literal 1 binary64) x) |
x |
1 |
#s(literal 1 binary64) |
(cbrt x) |
(cbrt.f64 x) |
(/ (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (+ (* 5/81 (cbrt (/ 1 (* x x)))) (* (cbrt x) -1/9))) (* x x)) |
(/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 5/81 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64))) |
(+ (* 1/3 (cbrt (* (* x x) (* x x)))) (+ (* 5/81 (cbrt (/ 1 (* x x)))) (* (cbrt x) -1/9))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 5/81 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) #s(literal 0 binary64)))) |
1/3 |
#s(literal 1/3 binary64) |
(cbrt (* (* x x) (* x x))) |
(cbrt.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
(* (* x x) (* x x)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
(+ (* 5/81 (cbrt (/ 1 (* x x)))) (* (cbrt x) -1/9)) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 5/81 binary64) (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) #s(literal 0 binary64))) |
5/81 |
#s(literal 5/81 binary64) |
(cbrt (/ 1 (* x x))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/ 1 (* x x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
1 |
#s(literal 1 binary64) |
(* (cbrt x) -1/9) |
(fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) #s(literal 0 binary64)) |
(cbrt x) |
(cbrt.f64 x) |
-1/9 |
#s(literal -1/9 binary64) |
(+ (* (cbrt (pow (+ x 1) 5/6)) (cbrt (pow (+ x 1) 1/6))) (- 0 (cbrt x))) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(cbrt (pow (+ x 1) 5/6)) |
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 5/6 binary64))) |
(pow (+ x 1) 5/6) |
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 5/6 binary64)) |
(+ x 1) |
(+.f64 #s(literal 1 binary64) x) |
x |
1 |
#s(literal 1 binary64) |
5/6 |
#s(literal 5/6 binary64) |
(cbrt (pow (+ x 1) 1/6)) |
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) |
(pow (+ x 1) 1/6) |
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(- 0 (cbrt x)) |
(-.f64 #s(literal 0 binary64) (cbrt.f64 x)) |
0 |
#s(literal 0 binary64) |
(cbrt x) |
(cbrt.f64 x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.2% | (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 93.4% | (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 90.5% | (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64)) |
| ✓ | accuracy | 5.2% | (fma.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
| ✓ | accuracy | 98.8% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 55.1% | (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
| ✓ | accuracy | 52.1% | (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | accuracy | 49.8% | (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)) |
| ✓ | accuracy | 99.3% | (cbrt.f64 x) |
| ✓ | accuracy | 99.2% | (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| ✓ | accuracy | 99.2% | (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| ✓ | accuracy | 5.6% | (-.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| ✓ | accuracy | 99.3% | (cbrt.f64 x) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 98.8% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 52.1% | (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 156.0ms | 196× | 1 | valid |
| 112.0ms | 57× | 2 | valid |
| 1.0ms | 3× | 0 | valid |
Compiled 231 to 36 computations (84.4% saved)
ival-pow: 50.0ms (25.7% of total)const: 46.0ms (23.6% of total)ival-mult: 27.0ms (13.9% of total)ival-cbrt: 25.0ms (12.8% of total)adjust: 14.0ms (7.2% of total)ival-add: 12.0ms (6.2% of total)ival-div: 8.0ms (4.1% of total)ival-sub: 8.0ms (4.1% of total)ival-sqrt: 4.0ms (2.1% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (cbrt (/ 1 (* x x)))> |
#<alt (/ 1 (* x x))> |
#<alt (* 1/3 (cbrt (/ 1 (* x x))))> |
#<alt (* x x)> |
#<alt (- 1 (cbrt x))> |
#<alt (cbrt x)> |
#<alt (* (sqrt (+ x 1)) (sqrt (+ x 1)))> |
#<alt (- (cbrt (* (sqrt (+ x 1)) (sqrt (+ x 1)))) (cbrt x))> |
#<alt (cbrt (* (sqrt (+ x 1)) (sqrt (+ x 1))))> |
#<alt (sqrt (+ x 1))> |
#<alt (/ (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (+ (* 5/81 (cbrt (/ 1 (* x x)))) (* (cbrt x) -1/9))) (* x x))> |
#<alt (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (+ (* 5/81 (cbrt (/ 1 (* x x)))) (* (cbrt x) -1/9)))> |
#<alt (cbrt (* (* x x) (* x x)))> |
#<alt (+ (* 5/81 (cbrt (/ 1 (* x x)))) (* (cbrt x) -1/9))> |
#<alt (+ (* (cbrt (pow (+ x 1) 5/6)) (cbrt (pow (+ x 1) 1/6))) (- 0 (cbrt x)))> |
#<alt (cbrt (pow (+ x 1) 5/6))> |
#<alt (pow (+ x 1) 5/6)> |
#<alt (+ x 1)> |
#<alt (pow (+ x 1) 1/6)> |
#<alt (cbrt (pow (+ x 1) 1/6))> |
| Outputs |
|---|
#<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 (* 1/3 (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 (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (- 1 (cbrt x))> |
#<alt (- 1 (cbrt x))> |
#<alt (- 1 (cbrt x))> |
#<alt (- 1 (cbrt x))> |
#<alt (* -1 (cbrt x))> |
#<alt (* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))> |
#<alt (* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))> |
#<alt (* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))> |
#<alt (* (cbrt x) (cbrt -1))> |
#<alt (* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))> |
#<alt (* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))> |
#<alt (* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt 1> |
#<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 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 (* 5/81 (cbrt (/ 1 (pow x 8))))> |
#<alt (/ (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))) (pow x 3))> |
#<alt (/ (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))) (pow x 3))> |
#<alt (/ (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))) (pow x 3))> |
#<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)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 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 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (* 5/81 (cbrt (/ 1 (pow x 2))))> |
#<alt (/ (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))) x)> |
#<alt (/ (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))) x)> |
#<alt (/ (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))) x)> |
#<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)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))> |
#<alt (* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 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 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<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 (* 5/81 (cbrt (/ 1 (pow x 2))))> |
#<alt (/ (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))) x)> |
#<alt (/ (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))) x)> |
#<alt (/ (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))) x)> |
#<alt (* -1/9 (cbrt x))> |
#<alt (* x (+ (* -1/9 (cbrt (/ 1 (pow x 2)))) (* 5/81 (cbrt (/ 1 (pow x 5))))))> |
#<alt (* x (+ (* -1/9 (cbrt (/ 1 (pow x 2)))) (* 5/81 (cbrt (/ 1 (pow x 5))))))> |
#<alt (* x (+ (* -1/9 (cbrt (/ 1 (pow x 2)))) (* 5/81 (cbrt (/ 1 (pow x 5))))))> |
#<alt (* 1/9 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* x (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5)))))))> |
#<alt (* -1 (* x (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5)))))))> |
#<alt (* -1 (* x (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5)))))))> |
#<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 (* 5/18 x))> |
#<alt (+ 1 (* x (+ 5/18 (* -65/648 x))))> |
#<alt (+ 1 (* x (+ 5/18 (* x (- (* 2015/34992 x) 65/648)))))> |
#<alt (pow (* 1 (pow x 5)) 1/18)> |
#<alt (+ (* 5/18 (pow (/ 1 (pow x 13)) 1/18)) (pow (* 1 (pow x 5)) 1/18))> |
#<alt (+ (* -65/648 (pow (/ 1 (pow x 31)) 1/18)) (+ (* 5/18 (pow (/ 1 (pow x 13)) 1/18)) (pow (* 1 (pow x 5)) 1/18)))> |
#<alt (+ (* -65/648 (pow (/ 1 (pow x 31)) 1/18)) (+ (* 2015/34992 (pow (/ 1 (pow x 49)) 1/18)) (+ (* 5/18 (pow (/ 1 (pow x 13)) 1/18)) (pow (* 1 (pow x 5)) 1/18))))> |
#<alt (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x))))))> |
#<alt (+ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) (* 5/18 (/ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) x)))> |
#<alt (+ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) (* -1 (/ (+ (* -5/18 (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x))))))) (* 65/648 (/ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) x))) x)))> |
#<alt (+ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -65/648 (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x))))))) (* 2015/34992 (/ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) x))) x)) (* -5/18 (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))))) x)))> |
#<alt 1> |
#<alt (+ 1 (* 5/6 x))> |
#<alt (+ 1 (* x (+ 5/6 (* -5/72 x))))> |
#<alt (+ 1 (* x (+ 5/6 (* x (- (* 35/1296 x) 5/72)))))> |
#<alt (pow (* 1 (pow x 5)) 1/6)> |
#<alt (+ (* 5/6 (pow (/ 1 x) 1/6)) (pow (* 1 (pow x 5)) 1/6))> |
#<alt (+ (* -5/72 (pow (/ 1 (pow x 7)) 1/6)) (+ (* 5/6 (pow (/ 1 x) 1/6)) (pow (* 1 (pow x 5)) 1/6)))> |
#<alt (+ (* -5/72 (pow (/ 1 (pow x 7)) 1/6)) (+ (* 35/1296 (pow (/ 1 (pow x 13)) 1/6)) (+ (* 5/6 (pow (/ 1 x) 1/6)) (pow (* 1 (pow x 5)) 1/6))))> |
#<alt (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))> |
#<alt (+ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) (* 5/6 (/ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) x)))> |
#<alt (+ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) (* -1 (/ (+ (* -5/6 (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))) (* 5/72 (/ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) x))) x)))> |
#<alt (+ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -5/72 (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))) (* 35/1296 (/ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) x))) x)) (* -5/6 (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))))) x)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 x))> |
#<alt (+ 1 (* x (+ 1/6 (* -5/72 x))))> |
#<alt (+ 1 (* x (+ 1/6 (* x (- (* 55/1296 x) 5/72)))))> |
#<alt (pow (* 1 x) 1/6)> |
#<alt (+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (pow (* 1 x) 1/6))> |
#<alt (+ (* -5/72 (pow (/ 1 (pow x 11)) 1/6)) (+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (pow (* 1 x) 1/6)))> |
#<alt (+ (* -5/72 (pow (/ 1 (pow x 11)) 1/6)) (+ (* 55/1296 (pow (/ 1 (pow x 17)) 1/6)) (+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (pow (* 1 x) 1/6))))> |
#<alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (+ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/6 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))> |
#<alt (+ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/6 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 5/72 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)))> |
#<alt (+ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -5/72 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 55/1296 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -1/6 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)))> |
#<alt 1> |
#<alt (+ 1 (* 1/18 x))> |
#<alt (+ 1 (* x (+ 1/18 (* -17/648 x))))> |
#<alt (+ 1 (* x (+ 1/18 (* x (- (* 595/34992 x) 17/648)))))> |
#<alt (pow (* 1 x) 1/18)> |
#<alt (+ (* 1/18 (pow (/ 1 (pow x 17)) 1/18)) (pow (* 1 x) 1/18))> |
#<alt (+ (* -17/648 (pow (/ 1 (pow x 35)) 1/18)) (+ (* 1/18 (pow (/ 1 (pow x 17)) 1/18)) (pow (* 1 x) 1/18)))> |
#<alt (+ (* -17/648 (pow (/ 1 (pow x 35)) 1/18)) (+ (* 595/34992 (pow (/ 1 (pow x 53)) 1/18)) (+ (* 1/18 (pow (/ 1 (pow x 17)) 1/18)) (pow (* 1 x) 1/18))))> |
#<alt (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (+ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/18 (/ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))> |
#<alt (+ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/18 (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 17/648 (/ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)))> |
#<alt (+ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -17/648 (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 595/34992 (/ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -1/18 (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 61.0ms | x | @ | 0 | (+ (* (cbrt (pow (+ x 1) 5/6)) (cbrt (pow (+ x 1) 1/6))) (- 0 (cbrt x))) |
| 6.0ms | x | @ | -inf | (/ (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (+ (* 5/81 (cbrt (/ 1 (* x x)))) (* (cbrt x) -1/9))) (* x x)) |
| 3.0ms | x | @ | -inf | (pow (+ x 1) 1/6) |
| 2.0ms | x | @ | 0 | (/ (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (+ (* 5/81 (cbrt (/ 1 (* x x)))) (* (cbrt x) -1/9))) (* x x)) |
| 1.0ms | x | @ | 0 | (cbrt (/ 1 (* x x))) |
| 1× | batch-egg-rewrite |
| 5 432× | accelerator-lowering-fma.f32 |
| 5 432× | accelerator-lowering-fma.f64 |
| 3 434× | *-lowering-*.f32 |
| 3 434× | *-lowering-*.f64 |
| 2 720× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 145 |
| 1 | 191 | 125 |
| 2 | 1599 | 125 |
| 0 | 9219 | 112 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(cbrt (/ 1 (* x x))) |
(/ 1 (* x x)) |
(* 1/3 (cbrt (/ 1 (* x x)))) |
(* x x) |
(- 1 (cbrt x)) |
(cbrt x) |
(* (sqrt (+ x 1)) (sqrt (+ x 1))) |
(- (cbrt (* (sqrt (+ x 1)) (sqrt (+ x 1)))) (cbrt x)) |
(cbrt (* (sqrt (+ x 1)) (sqrt (+ x 1)))) |
(sqrt (+ x 1)) |
(/ (+ (* 1/3 (cbrt (* (* x x) (* x x)))) (+ (* 5/81 (cbrt (/ 1 (* x x)))) (* (cbrt x) -1/9))) (* x x)) |
(+ (* 1/3 (cbrt (* (* x x) (* x x)))) (+ (* 5/81 (cbrt (/ 1 (* x x)))) (* (cbrt x) -1/9))) |
(cbrt (* (* x x) (* x x))) |
(+ (* 5/81 (cbrt (/ 1 (* x x)))) (* (cbrt x) -1/9)) |
(+ (* (cbrt (pow (+ x 1) 5/6)) (cbrt (pow (+ x 1) 1/6))) (- 0 (cbrt x))) |
(cbrt (pow (+ x 1) 5/6)) |
(pow (+ x 1) 5/6) |
(+ x 1) |
(pow (+ x 1) 1/6) |
(cbrt (pow (+ x 1) 1/6)) |
| Outputs |
|---|
(exp.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal -1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 x)) |
(/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 x)) |
(/.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) (cbrt.f64 x)) |
(pow.f64 x #s(literal -2/3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/3 binary64))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64))) |
(exp.f64 (fma.f64 #s(literal -2 binary64) (log.f64 x) #s(literal 0 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -2/3 binary64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)) x) |
(/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 x x)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(pow.f64 x #s(literal -2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -6 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -3 binary64)) |
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(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/18 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 1/18 binary64))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/18 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1/18 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 5/12 binary64)) #s(literal 1/18 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 7/12 binary64)) #s(literal 1/18 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 11/12 binary64)) #s(literal 1/18 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/12 binary64)) #s(literal 1/18 binary64))) |
| 1× | egg-herbie |
| 9 882× | accelerator-lowering-fma.f32 |
| 9 882× | accelerator-lowering-fma.f64 |
| 5 194× | *-lowering-*.f32 |
| 5 194× | *-lowering-*.f64 |
| 3 070× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 457 | 3219 |
| 1 | 1146 | 3088 |
| 2 | 3409 | 3001 |
| 3 | 6435 | 2946 |
| 0 | 8277 | 2771 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(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)) |
(* 1/3 (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)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(- 1 (cbrt x)) |
(- 1 (cbrt x)) |
(- 1 (cbrt x)) |
(- 1 (cbrt x)) |
(* -1 (cbrt x)) |
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2))))) |
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2))))) |
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2))))) |
(* (cbrt x) (cbrt -1)) |
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x))) |
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x))) |
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x))) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
1 |
(+ 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))))) |
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))))))) |
(* 5/81 (cbrt (/ 1 (pow x 8)))) |
(/ (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))) (pow x 3)) |
(/ (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))) (pow x 3)) |
(/ (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))) (pow x 3)) |
(* 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)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 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 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(* 5/81 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))) x) |
(/ (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))) x) |
(/ (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))) x) |
(* 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)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 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 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(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)) |
(* 5/81 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))) x) |
(/ (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))) x) |
(/ (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))) x) |
(* -1/9 (cbrt x)) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 2)))) (* 5/81 (cbrt (/ 1 (pow x 5)))))) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 2)))) (* 5/81 (cbrt (/ 1 (pow x 5)))))) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 2)))) (* 5/81 (cbrt (/ 1 (pow x 5)))))) |
(* 1/9 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))))) |
(* -1 (* x (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))))) |
(* -1 (* x (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))))) |
(- 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 (* 5/18 x)) |
(+ 1 (* x (+ 5/18 (* -65/648 x)))) |
(+ 1 (* x (+ 5/18 (* x (- (* 2015/34992 x) 65/648))))) |
(pow (* 1 (pow x 5)) 1/18) |
(+ (* 5/18 (pow (/ 1 (pow x 13)) 1/18)) (pow (* 1 (pow x 5)) 1/18)) |
(+ (* -65/648 (pow (/ 1 (pow x 31)) 1/18)) (+ (* 5/18 (pow (/ 1 (pow x 13)) 1/18)) (pow (* 1 (pow x 5)) 1/18))) |
(+ (* -65/648 (pow (/ 1 (pow x 31)) 1/18)) (+ (* 2015/34992 (pow (/ 1 (pow x 49)) 1/18)) (+ (* 5/18 (pow (/ 1 (pow x 13)) 1/18)) (pow (* 1 (pow x 5)) 1/18)))) |
(exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) |
(+ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) (* 5/18 (/ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) x))) |
(+ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) (* -1 (/ (+ (* -5/18 (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x))))))) (* 65/648 (/ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) x))) x))) |
(+ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -65/648 (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x))))))) (* 2015/34992 (/ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) x))) x)) (* -5/18 (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))))) x))) |
1 |
(+ 1 (* 5/6 x)) |
(+ 1 (* x (+ 5/6 (* -5/72 x)))) |
(+ 1 (* x (+ 5/6 (* x (- (* 35/1296 x) 5/72))))) |
(pow (* 1 (pow x 5)) 1/6) |
(+ (* 5/6 (pow (/ 1 x) 1/6)) (pow (* 1 (pow x 5)) 1/6)) |
(+ (* -5/72 (pow (/ 1 (pow x 7)) 1/6)) (+ (* 5/6 (pow (/ 1 x) 1/6)) (pow (* 1 (pow x 5)) 1/6))) |
(+ (* -5/72 (pow (/ 1 (pow x 7)) 1/6)) (+ (* 35/1296 (pow (/ 1 (pow x 13)) 1/6)) (+ (* 5/6 (pow (/ 1 x) 1/6)) (pow (* 1 (pow x 5)) 1/6)))) |
(exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) |
(+ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) (* 5/6 (/ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) x))) |
(+ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) (* -1 (/ (+ (* -5/6 (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))) (* 5/72 (/ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) x))) x))) |
(+ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -5/72 (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))) (* 35/1296 (/ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) x))) x)) (* -5/6 (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))))) x))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
1 |
(+ 1 (* 1/6 x)) |
(+ 1 (* x (+ 1/6 (* -5/72 x)))) |
(+ 1 (* x (+ 1/6 (* x (- (* 55/1296 x) 5/72))))) |
(pow (* 1 x) 1/6) |
(+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (pow (* 1 x) 1/6)) |
(+ (* -5/72 (pow (/ 1 (pow x 11)) 1/6)) (+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (pow (* 1 x) 1/6))) |
(+ (* -5/72 (pow (/ 1 (pow x 11)) 1/6)) (+ (* 55/1296 (pow (/ 1 (pow x 17)) 1/6)) (+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (pow (* 1 x) 1/6)))) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(+ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/6 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) |
(+ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/6 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 5/72 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))) |
(+ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -5/72 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 55/1296 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -1/6 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))) x))) |
1 |
(+ 1 (* 1/18 x)) |
(+ 1 (* x (+ 1/18 (* -17/648 x)))) |
(+ 1 (* x (+ 1/18 (* x (- (* 595/34992 x) 17/648))))) |
(pow (* 1 x) 1/18) |
(+ (* 1/18 (pow (/ 1 (pow x 17)) 1/18)) (pow (* 1 x) 1/18)) |
(+ (* -17/648 (pow (/ 1 (pow x 35)) 1/18)) (+ (* 1/18 (pow (/ 1 (pow x 17)) 1/18)) (pow (* 1 x) 1/18))) |
(+ (* -17/648 (pow (/ 1 (pow x 35)) 1/18)) (+ (* 595/34992 (pow (/ 1 (pow x 53)) 1/18)) (+ (* 1/18 (pow (/ 1 (pow x 17)) 1/18)) (pow (* 1 x) 1/18)))) |
(exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(+ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/18 (/ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) |
(+ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/18 (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 17/648 (/ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))) |
(+ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -17/648 (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 595/34992 (/ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -1/18 (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))))) x))) |
| Outputs |
|---|
(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)) |
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(*.f64 x x) |
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(cbrt.f64 x) |
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(cbrt.f64 x) |
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(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
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1 |
#s(literal 1 binary64) |
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(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
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(cbrt x) |
(cbrt.f64 x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
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(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) |
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(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
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(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
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1 |
#s(literal 1 binary64) |
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(sqrt x) |
(sqrt.f64 x) |
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(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
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(* -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)))))) |
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(* -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))))))) |
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(* 5/81 (cbrt (/ 1 (pow x 8)))) |
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(fma.f64 #s(literal -65/648 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 31 binary64))) #s(literal 1/18 binary64)) (fma.f64 #s(literal 5/18 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 13 binary64))) #s(literal 1/18 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/18 binary64)))) |
(+ (* -65/648 (pow (/ 1 (pow x 31)) 1/18)) (+ (* 2015/34992 (pow (/ 1 (pow x 49)) 1/18)) (+ (* 5/18 (pow (/ 1 (pow x 13)) 1/18)) (pow (* 1 (pow x 5)) 1/18)))) |
(fma.f64 #s(literal -65/648 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 31 binary64))) #s(literal 1/18 binary64)) (fma.f64 #s(literal 2015/34992 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 49 binary64))) #s(literal 1/18 binary64)) (fma.f64 #s(literal 5/18 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 13 binary64))) #s(literal 1/18 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/18 binary64))))) |
(exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) |
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/18 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/18 binary64)) #s(literal 0 binary64)) |
(+ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) (* 5/18 (/ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) x))) |
(fma.f64 (fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/18 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/18 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 5/18 binary64) x) (fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/18 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/18 binary64)) #s(literal 0 binary64))) |
(+ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) (* -1 (/ (+ (* -5/18 (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x))))))) (* 65/648 (/ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) x))) x))) |
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/18 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/18 binary64)) (/.f64 (fma.f64 #s(literal 5/18 binary64) (fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/18 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/18 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal -65/648 binary64) (*.f64 (/.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/18 binary64)) x) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/18 binary64))))) x)) |
(+ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -65/648 (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x))))))) (* 2015/34992 (/ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) x))) x)) (* -5/18 (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))))) x))) |
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/18 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/18 binary64)) (/.f64 (fma.f64 #s(literal 5/18 binary64) (fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/18 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/18 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 #s(literal -65/648 binary64) (fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/18 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/18 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/18 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/18 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 2015/34992 binary64) x))) x)) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 5/6 x)) |
(fma.f64 x #s(literal 5/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 5/6 (* -5/72 x)))) |
(fma.f64 x (fma.f64 x #s(literal -5/72 binary64) #s(literal 5/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 5/6 (* x (- (* 35/1296 x) 5/72))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 35/1296 binary64) #s(literal -5/72 binary64)) #s(literal 5/6 binary64)) #s(literal 1 binary64)) |
(pow (* 1 (pow x 5)) 1/6) |
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64)) |
(+ (* 5/6 (pow (/ 1 x) 1/6)) (pow (* 1 (pow x 5)) 1/6)) |
(fma.f64 #s(literal 5/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64))) |
(+ (* -5/72 (pow (/ 1 (pow x 7)) 1/6)) (+ (* 5/6 (pow (/ 1 x) 1/6)) (pow (* 1 (pow x 5)) 1/6))) |
(fma.f64 #s(literal -5/72 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/6 binary64)) (fma.f64 #s(literal 5/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64)))) |
(+ (* -5/72 (pow (/ 1 (pow x 7)) 1/6)) (+ (* 35/1296 (pow (/ 1 (pow x 13)) 1/6)) (+ (* 5/6 (pow (/ 1 x) 1/6)) (pow (* 1 (pow x 5)) 1/6)))) |
(fma.f64 #s(literal -5/72 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/6 binary64)) (fma.f64 #s(literal 5/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (fma.f64 #s(literal 35/1296 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 13 binary64))) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64))))) |
(exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) |
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/6 binary64)) #s(literal 0 binary64)) |
(+ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) (* 5/6 (/ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) x))) |
(fma.f64 (fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/6 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 5/6 binary64) x) (fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/6 binary64)) #s(literal 0 binary64))) |
(+ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) (* -1 (/ (+ (* -5/6 (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))) (* 5/72 (/ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) x))) x))) |
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/6 binary64)) (/.f64 (fma.f64 #s(literal -5/72 binary64) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/6 binary64)) x)) (*.f64 #s(literal 5/6 binary64) (fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/6 binary64)) #s(literal 0 binary64)))) x)) |
(+ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -5/72 (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))) (* 35/1296 (/ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) x))) x)) (* -5/6 (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))))) x))) |
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/6 binary64)) (/.f64 (fma.f64 #s(literal 5/6 binary64) (fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/6 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 #s(literal -5/72 binary64) (fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/6 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/6 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 35/1296 binary64) x))) x)) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 x)) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/6 (* -5/72 x)))) |
(fma.f64 x (fma.f64 x #s(literal -5/72 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/6 (* x (- (* 55/1296 x) 5/72))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 55/1296 binary64) #s(literal -5/72 binary64)) #s(literal 1/6 binary64)) #s(literal 1 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)) |
(fma.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)) (pow.f64 x #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))) |
(fma.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)) (fma.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)) (pow.f64 x #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)))) |
(fma.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)) (fma.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)) (fma.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)) (pow.f64 x #s(literal 1/6 binary64))))) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (/.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))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/6 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64))) |
(+ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/6 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 5/72 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))) |
(+.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)) (/.f64 (fma.f64 #s(literal -5/72 binary64) (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)) x) (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)))) 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 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)) (/.f64 (fma.f64 #s(literal -5/72 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 55/1296 binary64) x))) x)) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/18 x)) |
(fma.f64 x #s(literal 1/18 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/18 (* -17/648 x)))) |
(fma.f64 x (fma.f64 x #s(literal -17/648 binary64) #s(literal 1/18 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/18 (* x (- (* 595/34992 x) 17/648))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 595/34992 binary64) #s(literal -17/648 binary64)) #s(literal 1/18 binary64)) #s(literal 1 binary64)) |
(pow (* 1 x) 1/18) |
(pow.f64 x #s(literal 1/18 binary64)) |
(+ (* 1/18 (pow (/ 1 (pow x 17)) 1/18)) (pow (* 1 x) 1/18)) |
(fma.f64 #s(literal 1/18 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 17 binary64))) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 1/18 binary64))) |
(+ (* -17/648 (pow (/ 1 (pow x 35)) 1/18)) (+ (* 1/18 (pow (/ 1 (pow x 17)) 1/18)) (pow (* 1 x) 1/18))) |
(fma.f64 #s(literal -17/648 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 35 binary64))) #s(literal 1/18 binary64)) (fma.f64 #s(literal 1/18 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 17 binary64))) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 1/18 binary64)))) |
(+ (* -17/648 (pow (/ 1 (pow x 35)) 1/18)) (+ (* 595/34992 (pow (/ 1 (pow x 53)) 1/18)) (+ (* 1/18 (pow (/ 1 (pow x 17)) 1/18)) (pow (* 1 x) 1/18)))) |
(fma.f64 #s(literal -17/648 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 35 binary64))) #s(literal 1/18 binary64)) (fma.f64 #s(literal 595/34992 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 53 binary64))) #s(literal 1/18 binary64)) (fma.f64 #s(literal 1/18 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 17 binary64))) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 1/18 binary64))))) |
(exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/18 binary64)) |
(+ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/18 (/ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/18 binary64)) (/.f64 #s(literal 1/18 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/18 binary64))) |
(+ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/18 (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 17/648 (/ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))) |
(+.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/18 binary64)) (/.f64 (fma.f64 #s(literal -17/648 binary64) (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/18 binary64)) x) (*.f64 #s(literal 1/18 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/18 binary64)))) x)) |
(+ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -17/648 (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 595/34992 (/ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -1/18 (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))))) x))) |
(+.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/18 binary64)) (/.f64 (fma.f64 #s(literal 1/18 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/18 binary64)) (/.f64 (fma.f64 #s(literal -17/648 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/18 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/18 binary64)) (/.f64 #s(literal 595/34992 binary64) x))) x)) x)) |
Compiled 55 513 to 6 100 computations (89% saved)
37 alts after pruning (34 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 285 | 26 | 2 311 |
| Fresh | 16 | 8 | 24 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 304 | 37 | 2 341 |
| Status | Accuracy | Program |
|---|---|---|
| 5.1% | (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))))) | |
| 4.9% | (fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))) | |
| ▶ | 6.7% | (fma.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/18 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
| ▶ | 49.9% | (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64) #s(literal 0 binary64))) |
| 44.7% | (/.f64 (fma.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64) (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 5/81 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)) | |
| 44.7% | (/.f64 (fma.f64 (pow.f64 x #s(literal 2/3 binary64)) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 5/81 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)) | |
| 24.7% | (/.f64 (fma.f64 (cbrt.f64 x) (+.f64 #s(literal 5/81 binary64) (*.f64 x #s(literal -1/9 binary64))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x (*.f64 x x))) | |
| 25.3% | (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.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)) | |
| 48.2% | (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)) | |
| 48.8% | (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) x) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)) | |
| 25.0% | (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)) | |
| 25.1% | (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) x))) | |
| 25.0% | (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)) | |
| 25.1% | (/.f64 (/.f64 (fma.f64 (cbrt.f64 x) (+.f64 #s(literal 5/81 binary64) (*.f64 x #s(literal -1/9 binary64))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) x) (*.f64 x x)) | |
| 3.3% | (/.f64 (-.f64 (pow.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 (fma.f64 x x x))))) #s(literal 3 binary64)) (pow.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 (fma.f64 x x x))))) #s(literal 3 binary64))) (+.f64 (pow.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 (fma.f64 x x x))))) #s(literal 2 binary64)) (+.f64 (pow.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 (fma.f64 x x x))))) #s(literal 2 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 (fma.f64 x x x))))) (/.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 (fma.f64 x x x))))))))) | |
| 4.4% | (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))))) | |
| 47.4% | (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64) #s(literal 0 binary64)))) (*.f64 x x)) | |
| 24.5% | (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)) | |
| 89.8% | (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) | |
| 5.8% | (-.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 (fma.f64 x x x))))) (/.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 (fma.f64 x x x)))))) | |
| 6.7% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| ✓ | 5.6% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| ✓ | 5.5% | (-.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
| ▶ | 5.2% | (+.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
| 89.8% | (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) | |
| 46.3% | (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))) | |
| ▶ | 97.6% | (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
| 89.8% | (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))) | |
| 50.9% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64)))) | |
| 51.1% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) | |
| ▶ | 15.7% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
| 24.8% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))))) | |
| 49.4% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (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)))))) | |
| ✓ | 49.4% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 51.0% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.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))))) | |
| 51.1% | (*.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)))))) | |
| 51.1% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) |
Compiled 1 457 to 803 computations (44.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64)) |
| ✓ | cost-diff | 0 | (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/18 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | cost-diff | 0 | (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64) #s(literal 0 binary64))) |
| ✓ | cost-diff | 5184 | (pow.f64 x #s(literal 5 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
| ✓ | cost-diff | 2944 | (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (cbrt.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (cbrt.f64 x) |
| ✓ | cost-diff | 0 | (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
| 6 610× | *-lowering-*.f32 |
| 6 610× | *-lowering-*.f64 |
| 4 168× | /-lowering-/.f32 |
| 4 168× | /-lowering-/.f64 |
| 3 826× | cube-div |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 263 |
| 1 | 78 | 184 |
| 2 | 208 | 166 |
| 3 | 631 | 166 |
| 4 | 1238 | 166 |
| 5 | 1874 | 166 |
| 6 | 3005 | 166 |
| 7 | 3489 | 166 |
| 8 | 3864 | 166 |
| 9 | 4262 | 166 |
| 10 | 4416 | 166 |
| 11 | 4469 | 166 |
| 12 | 5959 | 166 |
| 13 | 6209 | 166 |
| 14 | 6281 | 166 |
| 15 | 6522 | 166 |
| 16 | 6839 | 166 |
| 17 | 7193 | 166 |
| 18 | 7550 | 166 |
| 19 | 7917 | 166 |
| 0 | 8007 | 165 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (pow (cbrt x) -2)) |
1/3 |
(pow (cbrt x) -2) |
(cbrt x) |
x |
-2 |
(+ (cbrt x) 1) |
(cbrt x) |
x |
1 |
(* 1/3 (cbrt (/ 1 (/ (* (* x x) (* x (* x (* x x)))) (* x (* x (* x x))))))) |
1/3 |
(cbrt (/ 1 (/ (* (* x x) (* x (* x (* x x)))) (* x (* x (* x x)))))) |
(/ 1 (/ (* (* x x) (* x (* x (* x x)))) (* x (* x (* x x))))) |
1 |
(/ (* (* x x) (* x (* x (* x x)))) (* x (* x (* x x)))) |
(* (* x x) (* x (* x (* x x)))) |
(* x x) |
x |
(* x (* x (* x x))) |
(* x (* x x)) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* (cbrt (/ 1 (* x x))) 1/3) 0)) |
-1/9 |
(cbrt (/ 1 (pow x 5))) |
(/ 1 (pow x 5)) |
1 |
(pow x 5) |
x |
5 |
(+ (* (cbrt (/ 1 (* x x))) 1/3) 0) |
(cbrt (/ 1 (* x x))) |
(/ 1 (* x x)) |
(* x x) |
1/3 |
0 |
(+ (* (cbrt (pow (+ x 1) 5/6)) (pow (+ 1 x) 1/18)) (- 0 (cbrt x))) |
(cbrt (pow (+ x 1) 5/6)) |
(pow (+ x 1) 5/6) |
(+ x 1) |
x |
1 |
5/6 |
(pow (+ 1 x) 1/18) |
(+ 1 x) |
1/18 |
(- 0 (cbrt x)) |
0 |
(cbrt x) |
| Outputs |
|---|
(* 1/3 (pow (cbrt x) -2)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
1/3 |
#s(literal 1/3 binary64) |
(pow (cbrt x) -2) |
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) |
(cbrt x) |
(cbrt.f64 x) |
x |
-2 |
#s(literal -2 binary64) |
(+ (cbrt x) 1) |
(+.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(cbrt x) |
(cbrt.f64 x) |
x |
1 |
#s(literal 1 binary64) |
(* 1/3 (cbrt (/ 1 (/ (* (* x x) (* x (* x (* x x)))) (* x (* x (* x x))))))) |
(fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 0 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
(cbrt (/ 1 (/ (* (* x x) (* x (* x (* x x)))) (* x (* x (* x x)))))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ 1 (/ (* (* x x) (* x (* x (* x x)))) (* x (* x (* x x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(/ (* (* x x) (* x (* x (* x x)))) (* x (* x (* x x)))) |
(*.f64 x x) |
(* (* x x) (* x (* x (* x x)))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* x x) |
(*.f64 x x) |
x |
(* x (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* (cbrt (/ 1 (* x x))) 1/3) 0)) |
(fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 0 binary64))) |
-1/9 |
#s(literal -1/9 binary64) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
1 |
#s(literal 1 binary64) |
(pow x 5) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) |
x |
5 |
#s(literal 5 binary64) |
(+ (* (cbrt (/ 1 (* x x))) 1/3) 0) |
(fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 0 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)) |
(* x x) |
(*.f64 x x) |
1/3 |
#s(literal 1/3 binary64) |
0 |
#s(literal 0 binary64) |
(+ (* (cbrt (pow (+ x 1) 5/6)) (pow (+ 1 x) 1/18)) (- 0 (cbrt x))) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/18 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(cbrt (pow (+ x 1) 5/6)) |
(cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) |
(pow (+ x 1) 5/6) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64)) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
x |
1 |
#s(literal 1 binary64) |
5/6 |
#s(literal 5/6 binary64) |
(pow (+ 1 x) 1/18) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/18 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
1/18 |
#s(literal 1/18 binary64) |
(- 0 (cbrt x)) |
(-.f64 #s(literal 0 binary64) (cbrt.f64 x)) |
0 |
#s(literal 0 binary64) |
(cbrt x) |
(cbrt.f64 x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.2% | (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) |
| ✓ | accuracy | 95.7% | (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/18 binary64)) |
| ✓ | accuracy | 90.5% | (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64)) |
| ✓ | accuracy | 5.2% | (fma.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/18 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | accuracy | 98.8% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 63.4% | (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
| ✓ | accuracy | 52.1% | (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
| ✓ | accuracy | 98.8% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))) |
| ✓ | accuracy | 52.1% | (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
| ✓ | accuracy | 28.9% | (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 100.0% | (+.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.3% | (cbrt.f64 x) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
| ✓ | accuracy | 99.3% | (cbrt.f64 x) |
| ✓ | accuracy | 99.2% | (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) |
| 543.0ms | 196× | 1 | valid |
| 75.0ms | 57× | 2 | valid |
| 1.0ms | 3× | 0 | valid |
Compiled 249 to 40 computations (83.9% saved)
ival-cbrt: 379.0ms (65.8% of total)ival-add: 59.0ms (10.2% of total)ival-pow: 58.0ms (10.1% of total)const: 32.0ms (5.6% of total)ival-mult: 20.0ms (3.5% of total)adjust: 14.0ms (2.4% of total)ival-div: 11.0ms (1.9% of total)ival-sub: 3.0ms (0.5% of total)exact: 1.0ms (0.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* 1/3 (pow (cbrt x) -2))> |
#<alt (pow (cbrt x) -2)> |
#<alt (cbrt x)> |
#<alt (+ (cbrt x) 1)> |
#<alt (/ (* (* x x) (* x (* x (* x x)))) (* x (* x (* x x))))> |
#<alt (cbrt (/ 1 (/ (* (* x x) (* x (* x (* x x)))) (* x (* x (* x x))))))> |
#<alt (/ 1 (/ (* (* x x) (* x (* x (* x x)))) (* x (* x (* x x)))))> |
#<alt (* (* x x) (* x (* x (* x x))))> |
#<alt (pow x 5)> |
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* (cbrt (/ 1 (* x x))) 1/3) 0))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (/ 1 (pow x 5))> |
#<alt (+ (* (cbrt (pow (+ x 1) 5/6)) (pow (+ 1 x) 1/18)) (- 0 (cbrt x)))> |
#<alt (cbrt (pow (+ x 1) 5/6))> |
#<alt (pow (+ x 1) 5/6)> |
#<alt (+ x 1)> |
#<alt (* 1/3 (cbrt (/ 1 (/ (* (* x x) (* x (* x (* x x)))) (* x (* x (* x x)))))))> |
#<alt (cbrt (/ 1 (* x x)))> |
#<alt (/ 1 (* x x))> |
#<alt (pow (+ 1 x) 1/18)> |
| 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))) (/ 1 (pow (cbrt -1) 2))))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))> |
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))> |
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))> |
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))> |
#<alt (cbrt 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 (cbrt x))> |
#<alt (+ 1 (cbrt x))> |
#<alt (+ 1 (cbrt x))> |
#<alt (cbrt x)> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (/ 1 x)))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (/ 1 x)))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (/ 1 x)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* x (- (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x))))> |
#<alt (* -1 (* x (- (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x))))> |
#<alt (* -1 (* x (- (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (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 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<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 (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))> |
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))> |
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))> |
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<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 (* 5/18 x))> |
#<alt (+ 1 (* x (+ 5/18 (* -65/648 x))))> |
#<alt (+ 1 (* x (+ 5/18 (* x (- (* 2015/34992 x) 65/648)))))> |
#<alt (pow (* 1 (pow x 5)) 1/18)> |
#<alt (+ (* 5/18 (pow (/ 1 (pow x 13)) 1/18)) (pow (* 1 (pow x 5)) 1/18))> |
#<alt (+ (* -65/648 (pow (/ 1 (pow x 31)) 1/18)) (+ (* 5/18 (pow (/ 1 (pow x 13)) 1/18)) (pow (* 1 (pow x 5)) 1/18)))> |
#<alt (+ (* -65/648 (pow (/ 1 (pow x 31)) 1/18)) (+ (* 2015/34992 (pow (/ 1 (pow x 49)) 1/18)) (+ (* 5/18 (pow (/ 1 (pow x 13)) 1/18)) (pow (* 1 (pow x 5)) 1/18))))> |
#<alt (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x))))))> |
#<alt (+ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) (* 5/18 (/ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) x)))> |
#<alt (+ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) (* -1 (/ (+ (* -5/18 (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x))))))) (* 65/648 (/ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) x))) x)))> |
#<alt (+ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -65/648 (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x))))))) (* 2015/34992 (/ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) x))) x)) (* -5/18 (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))))) x)))> |
#<alt 1> |
#<alt (+ 1 (* 5/6 x))> |
#<alt (+ 1 (* x (+ 5/6 (* -5/72 x))))> |
#<alt (+ 1 (* x (+ 5/6 (* x (- (* 35/1296 x) 5/72)))))> |
#<alt (pow (* 1 (pow x 5)) 1/6)> |
#<alt (+ (* 5/6 (pow (/ 1 x) 1/6)) (pow (* 1 (pow x 5)) 1/6))> |
#<alt (+ (* -5/72 (pow (/ 1 (pow x 7)) 1/6)) (+ (* 5/6 (pow (/ 1 x) 1/6)) (pow (* 1 (pow x 5)) 1/6)))> |
#<alt (+ (* -5/72 (pow (/ 1 (pow x 7)) 1/6)) (+ (* 35/1296 (pow (/ 1 (pow x 13)) 1/6)) (+ (* 5/6 (pow (/ 1 x) 1/6)) (pow (* 1 (pow x 5)) 1/6))))> |
#<alt (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))> |
#<alt (+ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) (* 5/6 (/ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) x)))> |
#<alt (+ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) (* -1 (/ (+ (* -5/6 (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))) (* 5/72 (/ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) x))) x)))> |
#<alt (+ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -5/72 (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))) (* 35/1296 (/ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) x))) x)) (* -5/6 (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))))) x)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* 1/3 (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> |
#<alt (+ 1 (* 1/18 x))> |
#<alt (+ 1 (* x (+ 1/18 (* -17/648 x))))> |
#<alt (+ 1 (* x (+ 1/18 (* x (- (* 595/34992 x) 17/648)))))> |
#<alt (pow (* 1 x) 1/18)> |
#<alt (+ (* 1/18 (pow (/ 1 (pow x 17)) 1/18)) (pow (* 1 x) 1/18))> |
#<alt (+ (* -17/648 (pow (/ 1 (pow x 35)) 1/18)) (+ (* 1/18 (pow (/ 1 (pow x 17)) 1/18)) (pow (* 1 x) 1/18)))> |
#<alt (+ (* -17/648 (pow (/ 1 (pow x 35)) 1/18)) (+ (* 595/34992 (pow (/ 1 (pow x 53)) 1/18)) (+ (* 1/18 (pow (/ 1 (pow x 17)) 1/18)) (pow (* 1 x) 1/18))))> |
#<alt (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (+ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/18 (/ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))> |
#<alt (+ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/18 (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 17/648 (/ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)))> |
#<alt (+ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -17/648 (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 595/34992 (/ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -1/18 (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | inf | (cbrt (/ 1 (pow x 5))) |
| 1.0ms | x | @ | 0 | (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* (cbrt (/ 1 (* x x))) 1/3) 0)) |
| 1.0ms | x | @ | -inf | (* 1/3 (pow (cbrt x) -2)) |
| 1.0ms | x | @ | 0 | (cbrt (/ 1 (pow x 5))) |
| 0.0ms | x | @ | inf | (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* (cbrt (/ 1 (* x x))) 1/3) 0)) |
| 1× | batch-egg-rewrite |
| 3 900× | accelerator-lowering-fma.f32 |
| 3 900× | accelerator-lowering-fma.f64 |
| 3 002× | *-lowering-*.f32 |
| 3 002× | *-lowering-*.f64 |
| 2 128× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 140 |
| 1 | 226 | 97 |
| 2 | 1682 | 97 |
| 0 | 9159 | 82 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (pow (cbrt x) -2)) |
(pow (cbrt x) -2) |
(cbrt x) |
(+ (cbrt x) 1) |
(/ (* (* x x) (* x (* x (* x x)))) (* x (* x (* x x)))) |
(cbrt (/ 1 (/ (* (* x x) (* x (* x (* x x)))) (* x (* x (* x x)))))) |
(/ 1 (/ (* (* x x) (* x (* x (* x x)))) (* x (* x (* x x))))) |
(* (* x x) (* x (* x (* x x)))) |
(pow x 5) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* (cbrt (/ 1 (* x x))) 1/3) 0)) |
(cbrt (/ 1 (pow x 5))) |
(/ 1 (pow x 5)) |
(+ (* (cbrt (pow (+ x 1) 5/6)) (pow (+ 1 x) 1/18)) (- 0 (cbrt x))) |
(cbrt (pow (+ x 1) 5/6)) |
(pow (+ x 1) 5/6) |
(+ x 1) |
(* 1/3 (cbrt (/ 1 (/ (* (* x x) (* x (* x (* x x)))) (* x (* x (* x x))))))) |
(cbrt (/ 1 (* x x))) |
(/ 1 (* x x)) |
(pow (+ 1 x) 1/18) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)) #s(literal 0 binary64))) |
(+.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(-.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(-.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)) #s(literal 0 binary64)))) |
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -4/3 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -4/3 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1/3 binary64)) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (pow.f64 x #s(literal -1/3 binary64)) #s(literal 0 binary64)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -4/3 binary64)) #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)) #s(literal 0 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)) #s(literal 0 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -4/3 binary64)) #s(literal 0 binary64))))) |
(/.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -4/3 binary64)) #s(literal 0 binary64))) |
(/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -4/3 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)) #s(literal 0 binary64))) |
(/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -4/3 binary64)) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) x) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x x))) x) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 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))) |
(exp.f64 (*.f64 #s(literal 1/18 binary64) (log1p.f64 x))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/36 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1/36 binary64))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/36 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log1p.f64 x) #s(literal 1/36 binary64) (*.f64 (log1p.f64 x) #s(literal 1/36 binary64)))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/18 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/36 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/36 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/18 binary64)) (log1p.f64 x)) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/36 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/36 binary64))) |
(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/18 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1/18 binary64))) |
(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/18 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 1/18 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1/18 binary64))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/18 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1/18 binary64))) |
| 1× | egg-herbie |
| 8 748× | accelerator-lowering-fma.f32 |
| 8 748× | accelerator-lowering-fma.f64 |
| 4 466× | *-lowering-*.f32 |
| 4 466× | *-lowering-*.f64 |
| 2 876× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 298 | 2240 |
| 1 | 680 | 2176 |
| 2 | 1672 | 2100 |
| 3 | 3363 | 1983 |
| 4 | 6920 | 1971 |
| 0 | 8046 | 1900 |
| 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 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(cbrt 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 (cbrt x)) |
(+ 1 (cbrt x)) |
(+ 1 (cbrt x)) |
(cbrt x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (/ 1 x))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (/ 1 x))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (/ 1 x))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (- (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))) |
(* -1 (* x (- (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))) |
(* -1 (* x (- (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(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 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(* -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))))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(- 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 (* 5/18 x)) |
(+ 1 (* x (+ 5/18 (* -65/648 x)))) |
(+ 1 (* x (+ 5/18 (* x (- (* 2015/34992 x) 65/648))))) |
(pow (* 1 (pow x 5)) 1/18) |
(+ (* 5/18 (pow (/ 1 (pow x 13)) 1/18)) (pow (* 1 (pow x 5)) 1/18)) |
(+ (* -65/648 (pow (/ 1 (pow x 31)) 1/18)) (+ (* 5/18 (pow (/ 1 (pow x 13)) 1/18)) (pow (* 1 (pow x 5)) 1/18))) |
(+ (* -65/648 (pow (/ 1 (pow x 31)) 1/18)) (+ (* 2015/34992 (pow (/ 1 (pow x 49)) 1/18)) (+ (* 5/18 (pow (/ 1 (pow x 13)) 1/18)) (pow (* 1 (pow x 5)) 1/18)))) |
(exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) |
(+ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) (* 5/18 (/ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) x))) |
(+ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) (* -1 (/ (+ (* -5/18 (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x))))))) (* 65/648 (/ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) x))) x))) |
(+ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -65/648 (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x))))))) (* 2015/34992 (/ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) x))) x)) (* -5/18 (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))))) x))) |
1 |
(+ 1 (* 5/6 x)) |
(+ 1 (* x (+ 5/6 (* -5/72 x)))) |
(+ 1 (* x (+ 5/6 (* x (- (* 35/1296 x) 5/72))))) |
(pow (* 1 (pow x 5)) 1/6) |
(+ (* 5/6 (pow (/ 1 x) 1/6)) (pow (* 1 (pow x 5)) 1/6)) |
(+ (* -5/72 (pow (/ 1 (pow x 7)) 1/6)) (+ (* 5/6 (pow (/ 1 x) 1/6)) (pow (* 1 (pow x 5)) 1/6))) |
(+ (* -5/72 (pow (/ 1 (pow x 7)) 1/6)) (+ (* 35/1296 (pow (/ 1 (pow x 13)) 1/6)) (+ (* 5/6 (pow (/ 1 x) 1/6)) (pow (* 1 (pow x 5)) 1/6)))) |
(exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) |
(+ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) (* 5/6 (/ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) x))) |
(+ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) (* -1 (/ (+ (* -5/6 (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))) (* 5/72 (/ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) x))) x))) |
(+ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -5/72 (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))) (* 35/1296 (/ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) x))) x)) (* -5/6 (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))))) x))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* 1/3 (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 |
(+ 1 (* 1/18 x)) |
(+ 1 (* x (+ 1/18 (* -17/648 x)))) |
(+ 1 (* x (+ 1/18 (* x (- (* 595/34992 x) 17/648))))) |
(pow (* 1 x) 1/18) |
(+ (* 1/18 (pow (/ 1 (pow x 17)) 1/18)) (pow (* 1 x) 1/18)) |
(+ (* -17/648 (pow (/ 1 (pow x 35)) 1/18)) (+ (* 1/18 (pow (/ 1 (pow x 17)) 1/18)) (pow (* 1 x) 1/18))) |
(+ (* -17/648 (pow (/ 1 (pow x 35)) 1/18)) (+ (* 595/34992 (pow (/ 1 (pow x 53)) 1/18)) (+ (* 1/18 (pow (/ 1 (pow x 17)) 1/18)) (pow (* 1 x) 1/18)))) |
(exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(+ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/18 (/ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) |
(+ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/18 (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 17/648 (/ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))) |
(+ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -17/648 (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 595/34992 (/ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -1/18 (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))))) x))) |
| Outputs |
|---|
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(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))) (/ 1 (pow (cbrt -1) 2))) |
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
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(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))) |
(fma.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) #s(literal 0 binary64)) |
(* -1 (* (cbrt x) (cbrt -1))) |
(fma.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) #s(literal 0 binary64)) |
(* -1 (* (cbrt x) (cbrt -1))) |
(fma.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) #s(literal 0 binary64)) |
(* -1 (* (cbrt x) (cbrt -1))) |
(fma.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) #s(literal 0 binary64)) |
(+ 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)) |
(cbrt x) |
(cbrt.f64 x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (/ 1 x))) |
(fma.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) |
(* x (+ (cbrt (/ 1 (pow x 2))) (/ 1 x))) |
(fma.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) |
(* x (+ (cbrt (/ 1 (pow x 2))) (/ 1 x))) |
(fma.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) |
(* -1 (* (cbrt x) (cbrt -1))) |
(fma.f64 (cbrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x)) #s(literal 0 binary64)) |
(* -1 (* x (- (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))) |
(fma.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) |
(* -1 (* x (- (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))) |
(fma.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) |
(* -1 (* x (- (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))) |
(fma.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) |
(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) |
(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))) |
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(/ 1 (pow x 2)) |
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(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
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(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* -1/9 (cbrt (/ 1 (pow x 5)))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
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(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.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 (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.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)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
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(/ 1 (pow x 5)) |
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(/ 1 (pow x 5)) |
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(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64)) (cbrt.f64 x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(-.f64 (fma.f64 x (fma.f64 x #s(literal -1/9 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/81 binary64) #s(literal -1/9 binary64)) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 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)) |
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(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
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(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 5/18 x)) |
(fma.f64 x #s(literal 5/18 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 5/18 (* -65/648 x)))) |
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(+ 1 (* x (+ 5/18 (* x (- (* 2015/34992 x) 65/648))))) |
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(pow (* 1 (pow x 5)) 1/18) |
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/18 binary64)) |
(+ (* 5/18 (pow (/ 1 (pow x 13)) 1/18)) (pow (* 1 (pow x 5)) 1/18)) |
(fma.f64 #s(literal 5/18 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 13 binary64))) #s(literal 1/18 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/18 binary64))) |
(+ (* -65/648 (pow (/ 1 (pow x 31)) 1/18)) (+ (* 5/18 (pow (/ 1 (pow x 13)) 1/18)) (pow (* 1 (pow x 5)) 1/18))) |
(fma.f64 #s(literal 5/18 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 13 binary64))) #s(literal 1/18 binary64)) (fma.f64 #s(literal -65/648 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 31 binary64))) #s(literal 1/18 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/18 binary64)))) |
(+ (* -65/648 (pow (/ 1 (pow x 31)) 1/18)) (+ (* 2015/34992 (pow (/ 1 (pow x 49)) 1/18)) (+ (* 5/18 (pow (/ 1 (pow x 13)) 1/18)) (pow (* 1 (pow x 5)) 1/18)))) |
(fma.f64 #s(literal 5/18 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 13 binary64))) #s(literal 1/18 binary64)) (fma.f64 #s(literal -65/648 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 31 binary64))) #s(literal 1/18 binary64)) (fma.f64 #s(literal 2015/34992 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 49 binary64))) #s(literal 1/18 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/18 binary64))))) |
(exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) |
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/18 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/18 binary64)) #s(literal 0 binary64)) |
(+ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) (* 5/18 (/ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) x))) |
(*.f64 (+.f64 (/.f64 #s(literal 5/18 binary64) x) #s(literal 1 binary64)) (fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/18 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/18 binary64)) #s(literal 0 binary64))) |
(+ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) (* -1 (/ (+ (* -5/18 (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x))))))) (* 65/648 (/ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) x))) x))) |
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/18 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/18 binary64)) (/.f64 (*.f64 (fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/18 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/18 binary64)) #s(literal 0 binary64)) (+.f64 #s(literal 5/18 binary64) (/.f64 #s(literal -65/648 binary64) x))) x)) |
(+ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -65/648 (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x))))))) (* 2015/34992 (/ (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))) x))) x)) (* -5/18 (exp (* 1/18 (+ (log -1) (* -5 (log (/ -1 x)))))))) x))) |
(fma.f64 (+.f64 (/.f64 #s(literal 5/18 binary64) x) #s(literal 1 binary64)) (fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/18 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/18 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 (fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/18 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/18 binary64)) #s(literal 0 binary64)) (+.f64 #s(literal -65/648 binary64) (/.f64 #s(literal 2015/34992 binary64) x))) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 5/6 x)) |
(fma.f64 x #s(literal 5/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 5/6 (* -5/72 x)))) |
(fma.f64 x (fma.f64 x #s(literal -5/72 binary64) #s(literal 5/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 5/6 (* x (- (* 35/1296 x) 5/72))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 35/1296 binary64) #s(literal -5/72 binary64)) #s(literal 5/6 binary64)) #s(literal 1 binary64)) |
(pow (* 1 (pow x 5)) 1/6) |
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64)) |
(+ (* 5/6 (pow (/ 1 x) 1/6)) (pow (* 1 (pow x 5)) 1/6)) |
(fma.f64 #s(literal 5/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64))) |
(+ (* -5/72 (pow (/ 1 (pow x 7)) 1/6)) (+ (* 5/6 (pow (/ 1 x) 1/6)) (pow (* 1 (pow x 5)) 1/6))) |
(fma.f64 #s(literal -5/72 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/6 binary64)) (fma.f64 #s(literal 5/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64)))) |
(+ (* -5/72 (pow (/ 1 (pow x 7)) 1/6)) (+ (* 35/1296 (pow (/ 1 (pow x 13)) 1/6)) (+ (* 5/6 (pow (/ 1 x) 1/6)) (pow (* 1 (pow x 5)) 1/6)))) |
(fma.f64 #s(literal 5/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (fma.f64 #s(literal -5/72 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/6 binary64)) (fma.f64 #s(literal 35/1296 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 13 binary64))) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64))))) |
(exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) #s(literal 0 binary64)) |
(+ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) (* 5/6 (/ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) x))) |
(*.f64 (+.f64 (/.f64 #s(literal 5/6 binary64) x) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) #s(literal 0 binary64))) |
(+ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) (* -1 (/ (+ (* -5/6 (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))) (* 5/72 (/ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) x))) x))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) #s(literal 0 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -5/72 binary64) x))) x)) |
(+ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -5/72 (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))) (* 35/1296 (/ (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) x))) x)) (* -5/6 (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))))) x))) |
(fma.f64 (+.f64 (/.f64 #s(literal 5/6 binary64) x) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) #s(literal 0 binary64)) (+.f64 #s(literal -5/72 binary64) (/.f64 #s(literal 35/1296 binary64) x))) (*.f64 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) |
(* 1/3 (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 |
#s(literal 1 binary64) |
(+ 1 (* 1/18 x)) |
(fma.f64 x #s(literal 1/18 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/18 (* -17/648 x)))) |
(fma.f64 x (fma.f64 x #s(literal -17/648 binary64) #s(literal 1/18 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/18 (* x (- (* 595/34992 x) 17/648))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 595/34992 binary64) #s(literal -17/648 binary64)) #s(literal 1/18 binary64)) #s(literal 1 binary64)) |
(pow (* 1 x) 1/18) |
(pow.f64 x #s(literal 1/18 binary64)) |
(+ (* 1/18 (pow (/ 1 (pow x 17)) 1/18)) (pow (* 1 x) 1/18)) |
(fma.f64 #s(literal 1/18 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 17 binary64))) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 1/18 binary64))) |
(+ (* -17/648 (pow (/ 1 (pow x 35)) 1/18)) (+ (* 1/18 (pow (/ 1 (pow x 17)) 1/18)) (pow (* 1 x) 1/18))) |
(fma.f64 #s(literal -17/648 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 35 binary64))) #s(literal 1/18 binary64)) (fma.f64 #s(literal 1/18 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 17 binary64))) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 1/18 binary64)))) |
(+ (* -17/648 (pow (/ 1 (pow x 35)) 1/18)) (+ (* 595/34992 (pow (/ 1 (pow x 53)) 1/18)) (+ (* 1/18 (pow (/ 1 (pow x 17)) 1/18)) (pow (* 1 x) 1/18)))) |
(fma.f64 #s(literal -17/648 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 35 binary64))) #s(literal 1/18 binary64)) (fma.f64 #s(literal 595/34992 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 53 binary64))) #s(literal 1/18 binary64)) (fma.f64 #s(literal 1/18 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 17 binary64))) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 1/18 binary64))))) |
(exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 1/18 binary64)) |
(+ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/18 (/ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/18 binary64) x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 1/18 binary64))) |
(+ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/18 (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 17/648 (/ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))) |
(-.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 1/18 binary64)) (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 1/18 binary64)) (+.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 17/648 binary64) x))) x)) |
(+ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -17/648 (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 595/34992 (/ (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -1/18 (exp (* 1/18 (+ (log -1) (* -1 (log (/ -1 x)))))))) x))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/18 binary64) x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 1/18 binary64)) (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 1/18 binary64)) (+.f64 #s(literal -17/648 binary64) (/.f64 #s(literal 595/34992 binary64) x))) (*.f64 x x))) |
Compiled 25 990 to 3 360 computations (87.1% saved)
44 alts after pruning (40 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 387 | 18 | 1 405 |
| Fresh | 7 | 22 | 29 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 398 | 44 | 1 442 |
| Status | Accuracy | Program |
|---|---|---|
| 5.1% | (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))))) | |
| 6.7% | (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/18 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/18 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) | |
| 4.9% | (fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))) | |
| 90.2% | (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64)))) | |
| ✓ | 6.7% | (fma.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/18 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
| 49.9% | (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64) #s(literal 0 binary64))) | |
| ▶ | 98.8% | (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (/.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) #s(literal 0 binary64))) |
| 44.7% | (/.f64 (fma.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64) (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 5/81 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)) | |
| 44.7% | (/.f64 (fma.f64 (pow.f64 x #s(literal 2/3 binary64)) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 5/81 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)) | |
| 24.7% | (/.f64 (fma.f64 (cbrt.f64 x) (+.f64 #s(literal 5/81 binary64) (*.f64 x #s(literal -1/9 binary64))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x (*.f64 x x))) | |
| 25.3% | (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.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)) | |
| 48.2% | (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)) | |
| 48.8% | (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) x) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)) | |
| ▶ | 25.0% | (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)) |
| 44.3% | (/.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -4/3 binary64)) #s(literal 0 binary64))) | |
| 3.3% | (/.f64 (-.f64 (pow.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 (fma.f64 x x x))))) #s(literal 3 binary64)) (pow.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 (fma.f64 x x x))))) #s(literal 3 binary64))) (+.f64 (pow.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 (fma.f64 x x x))))) #s(literal 2 binary64)) (+.f64 (pow.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 (fma.f64 x x x))))) #s(literal 2 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 (fma.f64 x x x))))) (/.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 (fma.f64 x x x))))))))) | |
| 4.4% | (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))))) | |
| 47.4% | (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64) #s(literal 0 binary64)))) (*.f64 x x)) | |
| 24.5% | (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)) | |
| 89.8% | (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) | |
| 5.8% | (-.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 (fma.f64 x x x))))) (/.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 (fma.f64 x x x)))))) | |
| 6.7% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| ✓ | 5.6% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 5.2% | (+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) | |
| 89.8% | (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) | |
| 44.2% | (*.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -4/3 binary64)) #s(literal 0 binary64)))) | |
| ▶ | 91.0% | (*.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) #s(literal -2 binary64))) |
| 96.9% | (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) | |
| 46.3% | (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))) | |
| ✓ | 97.6% | (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
| 98.3% | (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 x) x)) | |
| 54.1% | (*.f64 #s(literal 1/3 binary64) (/.f64 x (pow.f64 x #s(literal 5/3 binary64)))) | |
| 55.8% | (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) x)) | |
| 50.9% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64)))) | |
| 51.1% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) | |
| 32.7% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 x (*.f64 x (*.f64 x x))))) | |
| 49.4% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (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)))))) | |
| 32.8% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))))) | |
| ✓ | 49.4% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 51.1% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.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)))))) | |
| ▶ | 32.7% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x))) |
| 51.1% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) | |
| 19.9% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (/.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) | |
| ▶ | 5.2% | (cbrt.f64 x) |
Compiled 1 507 to 868 computations (42.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (exp.f64 #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) |
| ✓ | cost-diff | 0 | (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x x)) x) |
| ✓ | cost-diff | 0 | (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x))) |
| ✓ | cost-diff | 640 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) |
| ✓ | cost-diff | 0 | (cbrt.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | cost-diff | 0 | (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (/.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) #s(literal 0 binary64))) |
| ✓ | cost-diff | 5184 | (pow.f64 x #s(literal 5 binary64)) |
| 7 078× | *-lowering-*.f32 |
| 7 078× | *-lowering-*.f64 |
| 2 728× | /-lowering-/.f32 |
| 2 728× | /-lowering-/.f64 |
| 2 106× | cube-div |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 173 |
| 1 | 59 | 159 |
| 2 | 92 | 159 |
| 3 | 163 | 159 |
| 4 | 184 | 159 |
| 5 | 308 | 159 |
| 6 | 732 | 159 |
| 7 | 2013 | 159 |
| 8 | 3078 | 159 |
| 9 | 4673 | 159 |
| 10 | 5543 | 159 |
| 11 | 6311 | 159 |
| 12 | 7031 | 159 |
| 0 | 8116 | 156 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* (/ (cbrt x) x) 1/3) 0)) |
-1/9 |
(cbrt (/ 1 (pow x 5))) |
(/ 1 (pow x 5)) |
1 |
(pow x 5) |
x |
5 |
(+ (* (/ (cbrt x) x) 1/3) 0) |
(/ (cbrt x) x) |
(cbrt x) |
1/3 |
0 |
(cbrt x) |
x |
(* 1/3 (cbrt (* (/ 1 (* x (* x x))) x))) |
1/3 |
(cbrt (* (/ 1 (* x (* x x))) x)) |
(* (/ 1 (* x (* x x))) x) |
(/ 1 (* x (* x x))) |
1 |
(* x (* x x)) |
x |
(* x x) |
(/ (+ (* 1/3 (cbrt (* (* x (* x x)) x))) (* (cbrt x) -1/9)) (* x x)) |
(+ (* 1/3 (cbrt (* (* x (* x x)) x))) (* (cbrt x) -1/9)) |
1/3 |
(cbrt (* (* x (* x x)) x)) |
(* (* x (* x x)) x) |
(* x (* x x)) |
x |
(* x x) |
(* (cbrt x) -1/9) |
(cbrt x) |
-1/9 |
(* 1/3 (pow (pow (exp 1/3) (log x)) -2)) |
1/3 |
(pow (pow (exp 1/3) (log x)) -2) |
(pow (exp 1/3) (log x)) |
(exp 1/3) |
(log x) |
x |
-2 |
| Outputs |
|---|
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* (/ (cbrt x) x) 1/3) 0)) |
(fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64))) |
-1/9 |
#s(literal -1/9 binary64) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
1 |
#s(literal 1 binary64) |
(pow x 5) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) |
x |
5 |
#s(literal 5 binary64) |
(+ (* (/ (cbrt x) x) 1/3) 0) |
(fma.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64)) |
(/ (cbrt x) x) |
(/.f64 (cbrt.f64 x) x) |
(cbrt x) |
(cbrt.f64 x) |
1/3 |
#s(literal 1/3 binary64) |
0 |
#s(literal 0 binary64) |
(cbrt x) |
(cbrt.f64 x) |
x |
(* 1/3 (cbrt (* (/ 1 (* 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 (* x x))) x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(* (/ 1 (* x (* x x))) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (* x (* x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
x |
(* x x) |
(*.f64 x x) |
(/ (+ (* 1/3 (cbrt (* (* x (* x x)) x))) (* (cbrt x) -1/9)) (* x x)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) |
(+ (* 1/3 (cbrt (* (* x (* x x)) x))) (* (cbrt x) -1/9)) |
(fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) |
1/3 |
#s(literal 1/3 binary64) |
(cbrt (* (* x (* x x)) x)) |
(cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (* x (* x x)) x) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
x |
(* x x) |
(*.f64 x x) |
(* (cbrt x) -1/9) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) |
(cbrt x) |
(cbrt.f64 x) |
-1/9 |
#s(literal -1/9 binary64) |
(* 1/3 (pow (pow (exp 1/3) (log x)) -2)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) #s(literal -2 binary64))) |
1/3 |
#s(literal 1/3 binary64) |
(pow (pow (exp 1/3) (log x)) -2) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) #s(literal -2 binary64)) |
(pow (exp 1/3) (log x)) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) |
(exp 1/3) |
(exp.f64 #s(literal 1/3 binary64)) |
(log x) |
(log.f64 x) |
x |
-2 |
#s(literal -2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (exp.f64 #s(literal 1/3 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) #s(literal -2 binary64))) |
| ✓ | accuracy | 99.2% | (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) #s(literal -2 binary64)) |
| ✓ | accuracy | 93.2% | (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) |
| ✓ | accuracy | 99.4% | (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) |
| ✓ | accuracy | 99.3% | (cbrt.f64 x) |
| ✓ | accuracy | 55.1% | (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) |
| ✓ | accuracy | 49.8% | (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x))) |
| ✓ | accuracy | 82.9% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) |
| ✓ | accuracy | 52.1% | (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x)) |
| ✓ | accuracy | 99.3% | (cbrt.f64 x) |
| ✓ | accuracy | 99.4% | (fma.f64 (/.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) #s(literal 0 binary64)) |
| ✓ | accuracy | 99.3% | (cbrt.f64 x) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | accuracy | 63.4% | (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
| 92.0ms | 256× | 0 | valid |
Compiled 194 to 35 computations (82% saved)
ival-mult: 20.0ms (33.2% of total)ival-pow: 11.0ms (18.3% of total)const: 7.0ms (11.6% of total)ival-div: 6.0ms (10% of total)ival-cbrt: 6.0ms (10% of total)ival-exp: 3.0ms (5% of total)ival-add: 3.0ms (5% of total)ival-log: 3.0ms (5% of total)exact: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (pow x 5)> |
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* (/ (cbrt x) x) 1/3) 0))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (/ 1 (pow x 5))> |
#<alt (cbrt x)> |
#<alt (* (/ 1 (* x (* x x))) x)> |
#<alt (* 1/3 (cbrt (* (/ 1 (* x (* x x))) x)))> |
#<alt (cbrt (* (/ 1 (* x (* x x))) x))> |
#<alt (/ 1 (* x (* x x)))> |
#<alt (/ (+ (* 1/3 (cbrt (* (* x (* x x)) x))) (* (cbrt x) -1/9)) (* x x))> |
#<alt (+ (* 1/3 (cbrt (* (* x (* x x)) x))) (* (cbrt x) -1/9))> |
#<alt (cbrt (* (* x (* x x)) x))> |
#<alt (* (* x (* x x)) x)> |
#<alt (* 1/3 (pow (pow (exp 1/3) (log x)) -2))> |
#<alt (pow (pow (exp 1/3) (log x)) -2)> |
#<alt (pow (exp 1/3) (log x))> |
#<alt (exp 1/3)> |
#<alt (+ (* (/ (cbrt x) x) 1/3) 0)> |
#<alt (* (cbrt x) -1/9)> |
| Outputs |
|---|
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (* -1/9 (cbrt (/ 1 (pow x 5))))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))> |
#<alt (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))))> |
#<alt (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))))> |
#<alt (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))> |
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))> |
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))> |
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (/ 1 (pow x 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 (* 1/3 (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 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<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 (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 (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 (pow (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) 2))> |
#<alt (/ 1/3 (pow (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) 2))> |
#<alt (/ 1/3 (pow (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) 2))> |
#<alt (/ 1/3 (pow (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 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 (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) 2))> |
#<alt (/ 1 (pow (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) 2))> |
#<alt (/ 1 (pow (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) 2))> |
#<alt (/ 1 (pow (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) 2))> |
#<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 (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (exp (* 1/3 (+ (log -1) (* -1 (log (/ -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))) (cbrt -1)))> |
#<alt (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))> |
#<alt (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))> |
#<alt (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))> |
#<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)))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | x | @ | -inf | (* 1/3 (pow (pow (exp 1/3) (log x)) -2)) |
| 22.0ms | x | @ | 0 | (* 1/3 (pow (pow (exp 1/3) (log x)) -2)) |
| 9.0ms | x | @ | inf | (* 1/3 (pow (pow (exp 1/3) (log x)) -2)) |
| 1.0ms | x | @ | -inf | (pow (pow (exp 1/3) (log x)) -2) |
| 0.0ms | x | @ | 0 | (pow (pow (exp 1/3) (log x)) -2) |
| 1× | batch-egg-rewrite |
| 15 108× | accelerator-lowering-fma.f32 |
| 15 108× | accelerator-lowering-fma.f64 |
| 6 804× | *-lowering-*.f32 |
| 6 804× | *-lowering-*.f64 |
| 2 896× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 132 |
| 1 | 163 | 100 |
| 2 | 1089 | 92 |
| 0 | 9318 | 80 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 5) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* (/ (cbrt x) x) 1/3) 0)) |
(cbrt (/ 1 (pow x 5))) |
(/ 1 (pow x 5)) |
(cbrt x) |
(* (/ 1 (* x (* x x))) x) |
(* 1/3 (cbrt (* (/ 1 (* x (* x x))) x))) |
(cbrt (* (/ 1 (* x (* x x))) x)) |
(/ 1 (* x (* x x))) |
(/ (+ (* 1/3 (cbrt (* (* x (* x x)) x))) (* (cbrt x) -1/9)) (* x x)) |
(+ (* 1/3 (cbrt (* (* x (* x x)) x))) (* (cbrt x) -1/9)) |
(cbrt (* (* x (* x x)) x)) |
(* (* x (* x x)) x) |
(* 1/3 (pow (pow (exp 1/3) (log x)) -2)) |
(pow (pow (exp 1/3) (log x)) -2) |
(pow (exp 1/3) (log x)) |
(exp 1/3) |
(+ (* (/ (cbrt x) x) 1/3) 0) |
(* (cbrt x) -1/9) |
| Outputs |
|---|
(exp.f64 (fma.f64 #s(literal 5 binary64) (log.f64 x) #s(literal 0 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 5/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 5/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 5/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 5/2 binary64) (*.f64 (log.f64 x) #s(literal 5/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(/.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -5 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -5 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) |
(pow.f64 x #s(literal 5 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64)) |
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 5/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 x)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5/2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (*.f64 (pow.f64 x #s(literal 5/4 binary64)) (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 5 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 5 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5/2 binary64)))) (pow.f64 x #s(literal 5/2 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/4 binary64))) (pow.f64 x #s(literal 5/4 binary64))) |
(+.f64 (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64)) #s(literal 0 binary64)) (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64) #s(literal 0 binary64))) |
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64) #s(literal 0 binary64)))) |
(+.f64 (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64)) #s(literal 0 binary64))) |
(+.f64 (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(+.f64 (/.f64 (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -10/3 binary64))) (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1/3 binary64) #s(literal 0 binary64)))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2/3 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1/3 binary64) #s(literal 0 binary64)))))) |
(-.f64 (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64) #s(literal 0 binary64)) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1/9 binary64))) |
(-.f64 (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(-.f64 (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64) #s(literal 0 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -10/3 binary64))) (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1/3 binary64) #s(literal 0 binary64)))) (/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2/3 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1/3 binary64) #s(literal 0 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -10/3 binary64))) (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1/3 binary64) #s(literal 0 binary64)))) (-.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2/3 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1/3 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal -10/3 binary64))) (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1/3 binary64) #s(literal 0 binary64)))) (+.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2/3 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1/3 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))) |
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(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64))))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (pow.f64 x #s(literal -1/6 binary64))) (pow.f64 x #s(literal -1/6 binary64))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) #s(literal -1/9 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1/9 binary64))) |
(*.f64 (*.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64))) |
| 1× | egg-herbie |
| 6 292× | accelerator-lowering-fma.f32 |
| 6 292× | accelerator-lowering-fma.f64 |
| 1 952× | exp-lowering-exp.f32 |
| 1 952× | exp-lowering-exp.f64 |
| 1 938× | prod-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 1417 |
| 1 | 110 | 1417 |
| 2 | 246 | 1417 |
| 3 | 454 | 1417 |
| 4 | 816 | 1417 |
| 5 | 1485 | 1417 |
| 6 | 2763 | 1229 |
| 7 | 4382 | 1217 |
| 0 | 8145 | 1114 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(* -1/9 (cbrt (/ 1 (pow x 5)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(/ 1 (pow x 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)) |
(* 1/3 (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 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(* -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)))))) |
(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)) |
(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 (pow (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)) |
(/ 1/3 (pow (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)) |
(/ 1/3 (pow (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)) |
(/ 1/3 (pow (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 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 (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)) |
(/ 1 (pow (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)) |
(/ 1 (pow (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)) |
(/ 1 (pow (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -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))) (cbrt -1))) |
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) |
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) |
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) |
(* -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))) |
| Outputs |
|---|
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* -1/9 (cbrt (/ 1 (pow x 5)))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) #s(literal 0 binary64)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) #s(literal 0 binary64))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) #s(literal 0 binary64))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) #s(literal 0 binary64))) (*.f64 x x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))) |
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(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))) |
(cbrt.f64 x) |
(* -1 (* (cbrt x) (cbrt -1))) |
(cbrt.f64 x) |
(* -1 (* (cbrt x) (cbrt -1))) |
(cbrt.f64 x) |
(* -1 (* (cbrt x) (cbrt -1))) |
(cbrt.f64 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)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(cbrt (/ 1 (pow x 2))) |
(pow.f64 x #s(literal -2/3 binary64)) |
(cbrt (/ 1 (pow x 2))) |
(pow.f64 x #s(literal -2/3 binary64)) |
(cbrt (/ 1 (pow x 2))) |
(pow.f64 x #s(literal -2/3 binary64)) |
(cbrt (/ 1 (pow x 2))) |
(pow.f64 x #s(literal -2/3 binary64)) |
(cbrt (/ 1 (pow x 2))) |
(pow.f64 x #s(literal -2/3 binary64)) |
(cbrt (/ 1 (pow x 2))) |
(pow.f64 x #s(literal -2/3 binary64)) |
(cbrt (/ 1 (pow x 2))) |
(pow.f64 x #s(literal -2/3 binary64)) |
(cbrt (/ 1 (pow x 2))) |
(pow.f64 x #s(literal -2/3 binary64)) |
(cbrt (/ 1 (pow x 2))) |
(pow.f64 x #s(literal -2/3 binary64)) |
(cbrt (/ 1 (pow x 2))) |
(pow.f64 x #s(literal -2/3 binary64)) |
(cbrt (/ 1 (pow x 2))) |
(pow.f64 x #s(literal -2/3 binary64)) |
(cbrt (/ 1 (pow x 2))) |
(pow.f64 x #s(literal -2/3 binary64)) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(* -1/9 (cbrt (/ 1 (pow x 5)))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) #s(literal 0 binary64)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) #s(literal 0 binary64))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) #s(literal 0 binary64))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) #s(literal 0 binary64))) (*.f64 x x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))) |
(* -1/9 (cbrt x)) |
(fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) #s(literal 0 binary64)) |
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) |
(fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) #s(literal 0 binary64))) |
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) |
(fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) #s(literal 0 binary64))) |
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) |
(fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) #s(literal 0 binary64))) |
(* 1/3 (cbrt (pow x 4))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 x #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 x #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 x #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))) |
(* 1/3 (cbrt (pow x 4))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 x #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))) |
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 x #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))) |
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 x #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 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))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(/ 1/3 (pow (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(/ 1/3 (pow (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(/ 1/3 (pow (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(/ 1/3 (pow (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(cbrt (/ 1 (pow x 2))) |
(pow.f64 x #s(literal -2/3 binary64)) |
(cbrt (/ 1 (pow x 2))) |
(pow.f64 x #s(literal -2/3 binary64)) |
(cbrt (/ 1 (pow x 2))) |
(pow.f64 x #s(literal -2/3 binary64)) |
(cbrt (/ 1 (pow x 2))) |
(pow.f64 x #s(literal -2/3 binary64)) |
(cbrt (/ 1 (pow x 2))) |
(pow.f64 x #s(literal -2/3 binary64)) |
(cbrt (/ 1 (pow x 2))) |
(pow.f64 x #s(literal -2/3 binary64)) |
(cbrt (/ 1 (pow x 2))) |
(pow.f64 x #s(literal -2/3 binary64)) |
(cbrt (/ 1 (pow x 2))) |
(pow.f64 x #s(literal -2/3 binary64)) |
(/ 1 (pow (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)) |
(pow.f64 x #s(literal -2/3 binary64)) |
(/ 1 (pow (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)) |
(pow.f64 x #s(literal -2/3 binary64)) |
(/ 1 (pow (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)) |
(pow.f64 x #s(literal -2/3 binary64)) |
(/ 1 (pow (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) 2)) |
(pow.f64 x #s(literal -2/3 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) |
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(cbrt.f64 x) |
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(cbrt.f64 x) |
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(cbrt.f64 x) |
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(cbrt.f64 x) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(* -1/9 (cbrt x)) |
(fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) #s(literal 0 binary64)) |
(* -1/9 (cbrt x)) |
(fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) #s(literal 0 binary64)) |
(* -1/9 (cbrt x)) |
(fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) #s(literal 0 binary64)) |
(* -1/9 (cbrt x)) |
(fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) #s(literal 0 binary64)) |
(* -1/9 (cbrt x)) |
(fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) #s(literal 0 binary64)) |
(* -1/9 (cbrt x)) |
(fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) #s(literal 0 binary64)) |
(* -1/9 (cbrt x)) |
(fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) #s(literal 0 binary64)) |
(* -1/9 (cbrt x)) |
(fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) #s(literal 0 binary64)) |
(* 1/9 (* (cbrt x) (cbrt -1))) |
(fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) #s(literal 0 binary64)) |
(* 1/9 (* (cbrt x) (cbrt -1))) |
(fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) #s(literal 0 binary64)) |
(* 1/9 (* (cbrt x) (cbrt -1))) |
(fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) #s(literal 0 binary64)) |
(* 1/9 (* (cbrt x) (cbrt -1))) |
(fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) #s(literal 0 binary64)) |
Compiled 41 959 to 3 093 computations (92.6% saved)
49 alts after pruning (43 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 102 | 18 | 2 120 |
| Fresh | 10 | 25 | 35 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 2 115 | 49 | 2 164 |
| Status | Accuracy | Program |
|---|---|---|
| 5.1% | (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))))) | |
| 6.7% | (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/18 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/18 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) | |
| 4.9% | (fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))) | |
| 98.6% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64)) #s(literal 0 binary64))) | |
| ✓ | 6.7% | (fma.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/18 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
| 5.2% | (pow.f64 x #s(literal 1/3 binary64)) | |
| 44.7% | (/.f64 (fma.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64) (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 5/81 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)) | |
| 44.7% | (/.f64 (fma.f64 (pow.f64 x #s(literal 2/3 binary64)) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 5/81 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)) | |
| 24.7% | (/.f64 (fma.f64 (cbrt.f64 x) (+.f64 #s(literal 5/81 binary64) (*.f64 x #s(literal -1/9 binary64))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x (*.f64 x x))) | |
| 25.3% | (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.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)) | |
| 48.7% | (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) x) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)) | |
| ✓ | 25.0% | (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)) |
| 72.2% | (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) x) x) | |
| 3.3% | (/.f64 (-.f64 (pow.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 (fma.f64 x x x))))) #s(literal 3 binary64)) (pow.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 (fma.f64 x x x))))) #s(literal 3 binary64))) (+.f64 (pow.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 (fma.f64 x x x))))) #s(literal 2 binary64)) (+.f64 (pow.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 (fma.f64 x x x))))) #s(literal 2 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 (fma.f64 x x x))))) (/.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 (fma.f64 x x x))))))))) | |
| 4.4% | (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))))) | |
| 98.2% | (/.f64 (-.f64 (*.f64 (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)) (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64) #s(literal 0 binary64)))) | |
| 47.4% | (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64) #s(literal 0 binary64)))) (*.f64 x x)) | |
| 48.7% | (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (*.f64 x x)) | |
| 48.7% | (/.f64 (*.f64 (cbrt.f64 x) (+.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 x x)) | |
| 98.3% | (/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x) | |
| 24.5% | (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)) | |
| 89.8% | (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) | |
| 5.8% | (-.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 (fma.f64 x x x))))) (/.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 (fma.f64 x x x)))))) | |
| 6.7% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| ✓ | 5.6% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 98.0% | (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/3 binary64) x))) | |
| 89.8% | (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) | |
| 72.1% | (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) x) (/.f64 #s(literal 1 binary64) x)) | |
| 48.6% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))) | |
| 98.3% | (*.f64 (/.f64 #s(literal 1/3 binary64) x) (cbrt.f64 x)) | |
| 98.1% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)) | |
| 97.3% | (*.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) #s(literal -4 binary64))) | |
| 96.9% | (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) | |
| 46.3% | (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))) | |
| ✓ | 97.6% | (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
| 98.3% | (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 x) x)) | |
| 54.1% | (*.f64 #s(literal 1/3 binary64) (/.f64 x (pow.f64 x #s(literal 5/3 binary64)))) | |
| 98.0% | (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) | |
| 55.8% | (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) x)) | |
| 98.2% | (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 x))) | |
| 50.9% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64)))) | |
| 51.1% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) | |
| 32.7% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 x (*.f64 x (*.f64 x x))))) | |
| 49.4% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (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)))))) | |
| ✓ | 49.4% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 32.9% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) x))) | |
| 51.1% | (*.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)))))) | |
| 32.9% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))) | |
| ✓ | 5.2% | (cbrt.f64 x) |
Compiled 2 155 to 795 computations (63.1% saved)
| Inputs |
|---|
(cbrt.f64 x) |
(pow.f64 x #s(literal 1/3 binary64)) |
(+.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64)) (cbrt.f64 x)) |
(fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) x)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #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) (/.f64 (cbrt.f64 x) x)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (cbrt.f64 x)) |
(/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 x (pow.f64 x #s(literal 5/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (*.f64 x x)) |
(/.f64 (*.f64 (cbrt.f64 x) (+.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 x x)) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))) |
(/.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) x) x) |
(/.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -4/3 binary64)) #s(literal 0 binary64))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) x))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -4/3 binary64)) #s(literal 0 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (/.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) |
(fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64)))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)) |
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
(fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64)) #s(literal 0 binary64))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) x) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)) |
(-.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) (cbrt.f64 x)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.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) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) #s(literal -4 binary64))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 x) #s(literal 0 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/18 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/18 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64) (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 5/81 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)) |
(fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (/.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64) #s(literal 0 binary64))) |
(*.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 (fma.f64 (cbrt.f64 x) (+.f64 #s(literal 5/81 binary64) (*.f64 x #s(literal -1/9 binary64))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x (*.f64 x x))) |
(/.f64 (/.f64 (fma.f64 (cbrt.f64 x) (+.f64 #s(literal 5/81 binary64) (*.f64 x #s(literal -1/9 binary64))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) x) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)) (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64) #s(literal 0 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) x) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (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 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64) #s(literal 0 binary64)))) (*.f64 x x)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) x))) |
(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x)) |
(-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) #s(literal -2 binary64))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) |
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x)) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/18 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 2/3 binary64)) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 5/81 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)) |
(-.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 x))) (cbrt.f64 x)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.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 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)))) (cbrt.f64 x)) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.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 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))))) |
(-.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 (fma.f64 x x x))))) (/.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 (fma.f64 x x x)))))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))))) |
(/.f64 (-.f64 (pow.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 (fma.f64 x x x))))) #s(literal 3 binary64)) (pow.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 (fma.f64 x x x))))) #s(literal 3 binary64))) (+.f64 (pow.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 (fma.f64 x x x))))) #s(literal 2 binary64)) (+.f64 (pow.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 (fma.f64 x x x))))) #s(literal 2 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 (fma.f64 x x x))))) (/.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 (fma.f64 x x x))))))))) |
| Outputs |
|---|
(fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (/.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) #s(literal 0 binary64))) |
2 calls:
| 29.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 26.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | x |
| 98.8% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
(cbrt.f64 x) |
(pow.f64 x #s(literal 1/3 binary64)) |
(+.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64)) (cbrt.f64 x)) |
(fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) x)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #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) (/.f64 (cbrt.f64 x) x)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (cbrt.f64 x)) |
(/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 x (pow.f64 x #s(literal 5/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (*.f64 x x)) |
(/.f64 (*.f64 (cbrt.f64 x) (+.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 x x)) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))) |
(/.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) x) x) |
(/.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -4/3 binary64)) #s(literal 0 binary64))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) x))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -4/3 binary64)) #s(literal 0 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (/.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) |
(fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64)))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)) |
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
(fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64)) #s(literal 0 binary64))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) x) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)) |
(-.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) (cbrt.f64 x)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.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) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) #s(literal -4 binary64))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 x) #s(literal 0 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/18 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/18 binary64)) (-.f64 #s(literal 0 binary64) (cbrt.f64 x))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64) (fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 5/81 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64)) #s(literal 0 binary64))) |
2 calls:
| 16.0ms | x |
| 14.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | x |
| 98.6% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
(cbrt.f64 x) |
(pow.f64 x #s(literal 1/3 binary64)) |
(+.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64)) (cbrt.f64 x)) |
(fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) x)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #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) (/.f64 (cbrt.f64 x) x)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (cbrt.f64 x)) |
(/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) x) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 x (pow.f64 x #s(literal 5/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (*.f64 x x)) |
(/.f64 (*.f64 (cbrt.f64 x) (+.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 x x)) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))) |
(/.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) x) x) |
(/.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -4/3 binary64)) #s(literal 0 binary64))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) x))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -4/3 binary64)) #s(literal 0 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (/.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) |
(fma.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64)))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)) |
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
(fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64) #s(literal 0 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (cbrt.f64 x)) |
2 calls:
| 13.0ms | x |
| 12.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 1 | x |
| 98.3% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
(cbrt.f64 x) |
(pow.f64 x #s(literal 1/3 binary64)) |
(+.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64)) (cbrt.f64 x)) |
(fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) x)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #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) (/.f64 (cbrt.f64 x) x)) |
| Outputs |
|---|
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 x) x)) |
2 calls:
| 4.0ms | x |
| 3.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 1 | x |
| 98.3% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
(cbrt.f64 x) |
(pow.f64 x #s(literal 1/3 binary64)) |
(+.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64)) (cbrt.f64 x)) |
(fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) x)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
2 calls:
| 4.0ms | x |
| 3.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.8% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 89.8% | 1 | x |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
(cbrt.f64 x) |
(pow.f64 x #s(literal 1/3 binary64)) |
(+.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64)) (cbrt.f64 x)) |
(fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) x)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))) |
| Outputs |
|---|
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
2 calls:
| 7.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.8% | 1 | x |
| 89.8% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 10 to 7 computations (30% saved)
Total -2.2b remaining (-3.6%)
Threshold costs -2.2b (-3.6%)
| Inputs |
|---|
(cbrt.f64 x) |
(pow.f64 x #s(literal 1/3 binary64)) |
(+.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
(cbrt.f64 x) |
2 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.2% | 1 | x |
| 5.2% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
| 8× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 53 |
| 1 | 34 | 53 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (/.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64)) #s(literal 0 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (cbrt.f64 x)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.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)) |
(cbrt.f64 x) |
| Outputs |
|---|
(fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (/.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -5/3 binary64)) #s(literal 0 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 x) x)) |
(*.f64 (/.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(cbrt.f64 x) |
| 15 108× | accelerator-lowering-fma.f32 |
| 15 108× | accelerator-lowering-fma.f64 |
| 9 882× | accelerator-lowering-fma.f32 |
| 9 882× | accelerator-lowering-fma.f64 |
| 8 748× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 145 |
| 1 | 191 | 125 |
| 2 | 1599 | 125 |
| 0 | 9219 | 112 |
| 0 | 33 | 132 |
| 1 | 163 | 100 |
| 2 | 1089 | 92 |
| 0 | 9318 | 80 |
| 0 | 146 | 602 |
| 1 | 350 | 564 |
| 2 | 900 | 564 |
| 3 | 2613 | 561 |
| 4 | 5976 | 561 |
| 0 | 8122 | 528 |
| 0 | 38 | 140 |
| 1 | 226 | 97 |
| 2 | 1682 | 97 |
| 0 | 9159 | 82 |
| 0 | 457 | 3219 |
| 1 | 1146 | 3088 |
| 2 | 3409 | 3001 |
| 3 | 6435 | 2946 |
| 0 | 8277 | 2771 |
| 0 | 298 | 2240 |
| 1 | 680 | 2176 |
| 2 | 1672 | 2100 |
| 3 | 3363 | 1983 |
| 4 | 6920 | 1971 |
| 0 | 8046 | 1900 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 219 to 159 computations (27.4% saved)
Compiled 176 to 90 computations (48.9% saved)
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