
Time bar (total: 8.9s)
| 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 | 6 366× | 1 | valid |
| 358.0ms | 1 647× | 2 | valid |
| 16.0ms | 243× | 0 | valid |
ival-cbrt: 453.0ms (37.3% of total)const: 223.0ms (18.3% of total)adjust: 192.0ms (15.8% of total)ival-add: 127.0ms (10.4% of total)ival-sub: 105.0ms (8.6% of total)ival->: 48.0ms (3.9% of total)ival-<: 46.0ms (3.8% of total)ival-and: 11.0ms (0.9% of total)exact: 8.0ms (0.7% of total)ival-assert: 3.0ms (0.2% of total)| 1× | egg-herbie |
| 80× | lower-fma.f64 |
| 80× | lower-fma.f32 |
| 48× | lower-*.f64 |
| 48× | lower-*.f32 |
| 46× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 18 | 17 |
| 2 | 41 | 16 |
| 3 | 73 | 16 |
| 4 | 121 | 16 |
| 5 | 178 | 16 |
| 6 | 201 | 16 |
| 7 | 212 | 16 |
| 0 | 6 | 7 |
| 0 | 10 | 7 |
| 1 | 15 | 7 |
| 2 | 19 | 7 |
| 3 | 25 | 7 |
| 4 | 33 | 7 |
| 5 | 48 | 7 |
| 6 | 80 | 7 |
| 7 | 106 | 7 |
| 8 | 150 | 7 |
| 9 | 165 | 7 |
| 10 | 173 | 7 |
| 0 | 173 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Outputs |
|---|
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 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 |
| 71.0ms | 410× | 1 | valid |
| 33.0ms | 92× | 2 | valid |
| 0.0ms | 10× | 0 | valid |
Compiled 56 to 28 computations (50% saved)
ival-cbrt: 46.0ms (67.9% of total)adjust: 11.0ms (16.2% of total)ival-add: 5.0ms (7.4% of total)ival-sub: 5.0ms (7.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 6.2% | (-.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× | lower-fma.f64 |
| 80× | lower-fma.f32 |
| 48× | lower-*.f64 |
| 48× | lower-*.f32 |
| 36× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 10 | 18 |
| 1 | 15 | 18 |
| 2 | 19 | 18 |
| 3 | 25 | 18 |
| 4 | 33 | 18 |
| 5 | 48 | 18 |
| 6 | 80 | 18 |
| 7 | 106 | 18 |
| 8 | 150 | 18 |
| 9 | 165 | 18 |
| 10 | 173 | 18 |
| 0 | 173 | 18 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(cbrt.f64 x) |
| Outputs |
|---|
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(cbrt.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 99.2% | (cbrt.f64 x) |
| ✓ | accuracy | 99.2% | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 6.2% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 25.0ms | 205× | 1 | valid |
| 7.0ms | 46× | 2 | valid |
| 0.0ms | 5× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-cbrt: 9.0ms (41.1% of total)adjust: 7.0ms (32% of total)ival-add: 3.0ms (13.7% of total)ival-sub: 2.0ms (9.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))> |
#<alt (cbrt.f64 (+.f64 x #s(literal 1 binary64)))> |
#<alt (+.f64 x #s(literal 1 binary64))> |
#<alt (cbrt.f64 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 | |
|---|---|---|---|---|
| 18.0ms | x | @ | inf | (cbrt x) |
| 5.0ms | x | @ | -inf | (- (cbrt (+ x 1)) (cbrt x)) |
| 3.0ms | x | @ | inf | (- (cbrt (+ x 1)) (cbrt x)) |
| 2.0ms | x | @ | -inf | (cbrt x) |
| 1.0ms | x | @ | 0 | (cbrt x) |
| 1× | batch-egg-rewrite |
| 5 430× | lower-fma.f64 |
| 5 430× | lower-fma.f32 |
| 2 846× | lower-*.f64 |
| 2 846× | lower-*.f32 |
| 2 158× | lower-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 10 | 16 |
| 1 | 43 | 16 |
| 2 | 282 | 16 |
| 3 | 3101 | 16 |
| 0 | 9092 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(cbrt.f64 x) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))) #s(literal -1 binary64))) |
(+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (cbrt.f64 x))) |
(+.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (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 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 #s(literal 0 binary64) (-.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (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 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)))) |
(-.f64 (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 0 binary64)) (cbrt.f64 x)) |
(fma.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (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 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (neg.f64 (cbrt.f64 x))) |
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))))) |
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (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 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (cbrt.f64 x))) |
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (neg.f64 (cbrt.f64 x))) |
(fma.f64 (cbrt.f64 x) #s(literal -1 binary64) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x 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))))) (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 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (cbrt.f64 x))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (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 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1/3 binary64)) (neg.f64 (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)) (neg.f64 (cbrt.f64 x))) |
(fma.f64 #s(literal -1 binary64) (cbrt.f64 x) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (sqrt.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))))))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 x))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/9 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/9 binary64)) (neg.f64 (cbrt.f64 x))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/9 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/9 binary64)) (neg.f64 (cbrt.f64 x))) |
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(/.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 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))) |
(/.f64 (pow.f64 (cbrt.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) #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 (cbrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) #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 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (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 (cbrt.f64 (+.f64 x #s(literal 1 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) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1/3 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 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 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) |
(*.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) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (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))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(*.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 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.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))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(*.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)) (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(*.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x x)))) (exp.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))))) |
(*.f64 (exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64)))) (exp.f64 (neg.f64 (log.f64 (+.f64 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 (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 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))) |
(*.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 (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))) |
(*.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))) |
(exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #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 (sqrt.f64 x) #s(literal 2/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 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× | lower-fma.f64 |
| 6 306× | lower-fma.f32 |
| 4 226× | lower-*.f64 |
| 4 226× | lower-*.f32 |
| 1 638× | lower-/.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))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (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))) |
(neg.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (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))))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(-.f64 (/.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)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (cbrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(fma.f64 x (neg.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 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))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x))) |
1 |
#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))) |
(neg.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(neg.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(neg.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(neg.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64)))) |
Compiled 8 179 to 1 301 computations (84.1% saved)
29 alts after pruning (28 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 375 | 28 | 403 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 375 | 29 | 404 |
| Status | Accuracy | Program |
|---|---|---|
| 5.6% | (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))))) | |
| 7.1% | (fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 4.1% | (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) | |
| 4.7% | (/.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)) | |
| 24.5% | (/.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)) | |
| 24.3% | (/.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)) | |
| 8.2% | (/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.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)))))) | |
| 4.1% | (-.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64)) (cbrt.f64 x)) | |
| 4.9% | (-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x)) | |
| ▶ | 6.1% | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
| 7.2% | (-.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)) | |
| 4.5% | (-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x)) | |
| 7.2% | (-.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)) | |
| 6.1% | (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| 5.5% | (-.f64 (cbrt.f64 (fma.f64 (cbrt.f64 (*.f64 x (sqrt.f64 x))) (cbrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| 4.4% | (-.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 x))) (cbrt.f64 x)) | |
| 6.3% | (-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x)) | |
| 6.4% | (-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))) (cbrt.f64 x)) | |
| 6.2% | (-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) | |
| 7.2% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) | |
| 7.1% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) | |
| ▶ | 6.1% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) |
| 7.1% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| ▶ | 7.1% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64)))) |
| 6.5% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)))) | |
| ✓ | 6.2% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 5.6% | (-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x)) | |
| ▶ | 1.8% | (-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| ▶ | 49.4% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
Compiled 838 to 558 computations (33.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.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))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) |
| ✓ | cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))) |
| ✓ | 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))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
| ✓ | cost-diff | 0 | (cbrt.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 336× | lower-fma.f64 |
| 336× | lower-fma.f32 |
| 214× | lower-*.f32 |
| 208× | lower-*.f64 |
| 132× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 135 |
| 0 | 45 | 135 |
| 1 | 62 | 135 |
| 2 | 80 | 135 |
| 3 | 106 | 135 |
| 4 | 137 | 135 |
| 5 | 193 | 135 |
| 6 | 289 | 135 |
| 7 | 359 | 135 |
| 8 | 500 | 135 |
| 9 | 565 | 135 |
| 10 | 608 | 135 |
| 11 | 614 | 135 |
| 12 | 616 | 135 |
| 0 | 616 | 135 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
#s(literal 1/3 binary64) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
#s(literal 1 binary64) |
(cbrt.f64 x) |
x |
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
#s(literal 1 binary64) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(cbrt.f64 x) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64)))) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))) |
(pow.f64 x #s(literal 2/9 binary64)) |
#s(literal 2/9 binary64) |
(pow.f64 x #s(literal 1/9 binary64)) |
#s(literal 1/9 binary64) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) |
(exp.f64 #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(log.f64 x) |
| Outputs |
|---|
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
#s(literal 1/3 binary64) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
#s(literal 1 binary64) |
(cbrt.f64 x) |
x |
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
#s(literal 1 binary64) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
x |
(cbrt.f64 x) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 1/9 binary64)) (neg.f64 (pow.f64 x #s(literal 2/9 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(cbrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
x |
#s(literal 1 binary64) |
(*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))) |
(pow.f64 x #s(literal 2/9 binary64)) |
#s(literal 2/9 binary64) |
(pow.f64 x #s(literal 1/9 binary64)) |
#s(literal 1/9 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 (+.f64 #s(literal 1 binary64) x)) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(cbrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
x |
#s(literal 1 binary64) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) |
(exp.f64 #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(log.f64 x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (exp.f64 #s(literal 1/3 binary64)) |
| ✓ | accuracy | 99.2% | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 93.2% | (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) |
| ✓ | accuracy | 6.2% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) |
| ✓ | accuracy | 99.2% | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 94.3% | (pow.f64 x #s(literal 1/9 binary64)) |
| ✓ | accuracy | 92.9% | (pow.f64 x #s(literal 2/9 binary64)) |
| ✓ | accuracy | 6.2% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64)))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
| ✓ | accuracy | 99.2% | (cbrt.f64 x) |
| ✓ | accuracy | 99.0% | (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
| ✓ | accuracy | 6.2% | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| ✓ | accuracy | 99.2% | (cbrt.f64 x) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.5% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 51.7% | (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 154.0ms | 205× | 1 | valid |
| 67.0ms | 46× | 2 | valid |
| 1.0ms | 5× | 0 | valid |
Compiled 137 to 29 computations (78.8% saved)
ival-pow: 69.0ms (36.5% of total)const: 30.0ms (15.9% of total)adjust: 17.0ms (9% of total)ival-cbrt: 13.0ms (6.9% of total)ival-exp: 11.0ms (5.8% of total)ival-log: 11.0ms (5.8% of total)ival-mult: 11.0ms (5.8% of total)ival-sub: 10.0ms (5.3% of total)ival-div: 9.0ms (4.8% of total)ival-copysign: 4.0ms (2.1% of total)ival-add: 2.0ms (1.1% of total)ival-fabs: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))> |
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x x))> |
#<alt (*.f64 x x)> |
#<alt (-.f64 #s(literal 1 binary64) (cbrt.f64 x))> |
#<alt (cbrt.f64 x)> |
#<alt (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))> |
#<alt (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))> |
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))> |
#<alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))))> |
#<alt (cbrt.f64 (+.f64 x #s(literal 1 binary64)))> |
#<alt (+.f64 x #s(literal 1 binary64))> |
#<alt (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64)))> |
#<alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)))> |
#<alt (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))> |
#<alt (pow.f64 x #s(literal 2/9 binary64))> |
#<alt (pow.f64 x #s(literal 1/9 binary64))> |
#<alt (exp.f64 #s(literal 1/3 binary64))> |
| Outputs |
|---|
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (- 1 (cbrt x))> |
#<alt (- 1 (cbrt x))> |
#<alt (- 1 (cbrt x))> |
#<alt (- 1 (cbrt x))> |
#<alt (* -1 (cbrt x))> |
#<alt (* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))> |
#<alt (* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))> |
#<alt (* x (- (/ 1 x) (cbrt (/ 1 (pow x 2)))))> |
#<alt (* (cbrt x) (cbrt -1))> |
#<alt (* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))> |
#<alt (* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))> |
#<alt (* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x)))> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (- 1 (cbrt x))> |
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))> |
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))> |
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))> |
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt 1> |
#<alt (+ 1 (* 1/3 x))> |
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))> |
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))> |
#<alt (cbrt x)> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/3 x))> |
#<alt (+ 1 (* x (- (* 2/9 x) 1/3)))> |
#<alt (+ 1 (* x (- (* x (+ 2/9 (* -14/81 x))) 1/3)))> |
#<alt (cbrt (- (/ 1 x) (/ 1 (pow x 2))))> |
#<alt (+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))))> |
#<alt (+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (+ (* -1/3 (* (/ 1 (pow x 4)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))))> |
#<alt (+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (+ (* -1/3 (* (/ 1 (pow x 4)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (+ (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (pow x 5)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))))))> |
#<alt (cbrt (- (/ 1 x) (/ 1 (pow x 2))))> |
#<alt (+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))))> |
#<alt (+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* -1/3 (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))) (* 1/3 (* (/ 1 x) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))) (pow x 3))))> |
#<alt (+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))) (* 1/3 (* (/ 1 x) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))) x)) (* -1/3 (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (pow x 3))))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- x 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))> |
#<alt (/ 1 x)> |
#<alt (/ (- 1 (/ 1 x)) x)> |
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)> |
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (/ 1 x) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))> |
#<alt (- 1 (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 (* x (- (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (* (pow -1 1/9) (cbrt (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* x (- (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* (pow -1 1/9) (cbrt (/ 1 (pow x 2)))))))> |
#<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))) (* (pow -1 1/9) (cbrt (/ 1 (pow x 2)))))))> |
#<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))) (* (pow -1 1/9) (cbrt (/ 1 (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 (* (pow -1 1/9) (cbrt x)))> |
#<alt (* -1 (* (pow -1 1/9) (cbrt x)))> |
#<alt (* -1 (* (pow -1 1/9) (cbrt x)))> |
#<alt (* -1 (* (pow -1 1/9) (cbrt 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 (cbrt x)> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))))> |
#<alt (* -1 (* x (+ (* -1 (/ (- (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (- (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))) (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (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 (pow (* 1 (pow x 2)) 1/9)> |
#<alt (pow (* 1 (pow x 2)) 1/9)> |
#<alt (pow (* 1 (pow x 2)) 1/9)> |
#<alt (pow (* 1 (pow x 2)) 1/9)> |
#<alt (pow (* 1 (pow x 2)) 1/9)> |
#<alt (pow (* 1 (pow x 2)) 1/9)> |
#<alt (pow (* 1 (pow x 2)) 1/9)> |
#<alt (pow (* 1 (pow x 2)) 1/9)> |
#<alt (pow (* 1 (pow x 2)) 1/9)> |
#<alt (pow (* 1 (pow x 2)) 1/9)> |
#<alt (pow (* 1 (pow x 2)) 1/9)> |
#<alt (pow (* 1 (pow x 2)) 1/9)> |
#<alt (pow (* 1 x) 1/9)> |
#<alt (pow (* 1 x) 1/9)> |
#<alt (pow (* 1 x) 1/9)> |
#<alt (pow (* 1 x) 1/9)> |
#<alt (pow (* 1 x) 1/9)> |
#<alt (pow (* 1 x) 1/9)> |
#<alt (pow (* 1 x) 1/9)> |
#<alt (pow (* 1 x) 1/9)> |
#<alt (exp (* 1/9 (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (exp (* 1/9 (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (exp (* 1/9 (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (exp (* 1/9 (+ (log -1) (* -1 (log (/ -1 x))))))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 52.0ms | x | @ | 0 | (- (cbrt (+ x 1)) (* (pow x 2/9) (pow x 1/9))) |
| 36.0ms | x | @ | 0 | (pow (exp 1/3) (log x)) |
| 20.0ms | x | @ | -inf | (pow (exp 1/3) (log x)) |
| 18.0ms | x | @ | inf | (- (cbrt (+ x 1)) (* (pow x 2/9) (pow x 1/9))) |
| 15.0ms | x | @ | inf | (pow (exp 1/3) (log x)) |
| 1× | batch-egg-rewrite |
| 9 480× | lower-fma.f64 |
| 9 480× | lower-fma.f32 |
| 4 560× | lower-*.f32 |
| 4 554× | lower-*.f64 |
| 3 086× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 107 |
| 0 | 45 | 103 |
| 1 | 164 | 77 |
| 2 | 1091 | 77 |
| 0 | 8372 | 73 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(cbrt.f64 x) |
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64)))) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) |
(pow.f64 x #s(literal 2/9 binary64)) |
(pow.f64 x #s(literal 1/9 binary64)) |
(exp.f64 #s(literal 1/3 binary64)) |
| Outputs |
|---|
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (neg.f64 (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (cbrt.f64 x)) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (neg.f64 (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/9 binary64))) (pow.f64 x #s(literal 4/9 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/9 binary64))) (pow.f64 x #s(literal 5/9 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/9 binary64))) (pow.f64 x #s(literal 2/9 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/6 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (pow.f64 x #s(literal -1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(/.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64)))) |
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (neg.f64 (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (neg.f64 (*.f64 x x)))) |
(/.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (cbrt.f64 (neg.f64 (*.f64 x x))))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (neg.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/6 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/9 binary64))) (pow.f64 x #s(literal 4/9 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/9 binary64))) (pow.f64 x #s(literal 5/9 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4/9 binary64))) (pow.f64 x #s(literal 2/9 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal 2/9 binary64))) (pow.f64 x #s(literal 1/9 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal 1/9 binary64))) (pow.f64 x #s(literal 2/9 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal 1/18 binary64))) (pow.f64 x #s(literal 5/18 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal 5/18 binary64))) (pow.f64 x #s(literal 1/18 binary64))) |
(pow.f64 x #s(literal -2/3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 x))) |
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (neg.f64 (log.f64 x))) |
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 (log.f64 x) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/3 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (*.f64 x x))))) |
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/9 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 4/9 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 4/9 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 2/9 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 5/9 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/9 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/9 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/3 binary64))) (pow.f64 x #s(literal -1/3 binary64))) |
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (neg.f64 x))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 x)) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (neg.f64 x)) |
(pow.f64 x #s(literal -2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -6 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 x))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 2/3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)) #s(literal 3 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))) |
(neg.f64 (neg.f64 (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 x (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (fma.f64 (log.f64 x) #s(literal 3 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)) |
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 x (neg.f64 (neg.f64 x))) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 x) (pow.f64 (pow.f64 x #s(literal 5/9 binary64)) #s(literal 3 binary64))) |
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))) |
(*.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) |
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (pow.f64 x #s(literal 4/9 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (pow.f64 x #s(literal 4/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 4/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/9 binary64)) #s(literal 3 binary64)) (cbrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (neg.f64 x)) x) |
(*.f64 (/.f64 (cbrt.f64 x) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.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 (*.f64 x (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 x)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (cbrt.f64 x))) |
(+.f64 (neg.f64 (cbrt.f64 x)) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 x) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 x (+.f64 (cbrt.f64 x) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 #s(literal 1 binary64) (cbrt.f64 x))))) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(-.f64 #s(literal 0 binary64) (-.f64 (cbrt.f64 x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 x) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64)))) (/.f64 x (+.f64 (cbrt.f64 x) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cbrt.f64 x))) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 (cbrt.f64 x)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 x) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 x (+.f64 (cbrt.f64 x) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 #s(literal 1 binary64) (cbrt.f64 x))))) |
(fma.f64 (cbrt.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 #s(literal 1 binary64) (cbrt.f64 x))))) |
(fma.f64 (pow.f64 x #s(literal 2/9 binary64)) (neg.f64 (pow.f64 x #s(literal 1/9 binary64))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 1/9 binary64)) (neg.f64 (pow.f64 x #s(literal 2/9 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (cbrt.f64 x) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (cbrt.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 1/18 binary64)) (neg.f64 (pow.f64 x #s(literal 5/18 binary64))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 1/18 binary64)) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/9 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 1/18 binary64)) (*.f64 (pow.f64 x #s(literal 1/18 binary64)) (neg.f64 (pow.f64 x #s(literal 2/9 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
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(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/18 binary64)) #s(literal 6 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 x #s(literal 2/9 binary64)) (*.f64 (pow.f64 x #s(literal 1/9 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/9 binary64)) (pow.f64 x #s(literal 2/9 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/9 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/9 binary64)) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/18 binary64)) (pow.f64 x #s(literal 5/18 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/18 binary64)) (*.f64 (pow.f64 x #s(literal 5/18 binary64)) #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 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/36 binary64)) (*.f64 (pow.f64 x #s(literal 1/36 binary64)) (pow.f64 x #s(literal 5/18 binary64)))) |
(*.f64 (pow.f64 x #s(literal 5/18 binary64)) (pow.f64 x #s(literal 1/18 binary64))) |
(*.f64 (pow.f64 x #s(literal 5/18 binary64)) (*.f64 (pow.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/9 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/9 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (exp.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/18 binary64))) (pow.f64 x #s(literal 5/18 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/18 binary64))) (pow.f64 x #s(literal 1/18 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 5/18 binary64)) (pow.f64 x #s(literal 1/36 binary64))) (pow.f64 x #s(literal 1/36 binary64))) |
(exp.f64 (*.f64 #s(literal 2/9 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/9 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/9 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2/9 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 2/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/9 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2/9 binary64))) |
(pow.f64 (pow.f64 x #s(literal 1/18 binary64)) #s(literal 4 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/18 binary64)) |
(pow.f64 (exp.f64 #s(literal 2/9 binary64)) (log.f64 x)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/9 binary64))) |
(*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 2/9 binary64))) |
(*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/18 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/18 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/36 binary64)) (*.f64 (pow.f64 x #s(literal 1/36 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2/9 binary64)) (pow.f64 x #s(literal 2/9 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2/9 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 2/9 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 2/9 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2/9 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2/9 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2/9 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/9 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/9 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/18 binary64))) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/18 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/36 binary64))) (pow.f64 x #s(literal 1/36 binary64))) |
(exp.f64 (*.f64 #s(literal 1/9 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/18 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/18 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/18 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/18 binary64) (*.f64 (log.f64 x) #s(literal 1/18 binary64)))) |
(pow.f64 x #s(literal 1/9 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/18 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/9 binary64))) |
(pow.f64 (pow.f64 x #s(literal 1/18 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 x)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/9 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/18 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/9 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/18 binary64)) (pow.f64 x #s(literal 1/18 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/36 binary64)) (*.f64 (pow.f64 x #s(literal 1/36 binary64)) (pow.f64 x #s(literal 1/18 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/9 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/18 binary64)) (pow.f64 x #s(literal 1/36 binary64))) (pow.f64 x #s(literal 1/36 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/18 binary64))) (pow.f64 x #s(literal 1/18 binary64))) |
(exp.f64 #s(literal 1/3 binary64)) |
| 1× | egg-herbie |
| 8 760× | lower-fma.f64 |
| 8 760× | lower-fma.f32 |
| 4 376× | lower-*.f64 |
| 4 376× | lower-*.f32 |
| 2 024× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 275 | 137438955514 |
| 1 | 732 | 137438955313 |
| 2 | 2382 | 103079217120 |
| 3 | 5512 | 51539609650 |
| 0 | 8367 | 1987 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(- 1 (cbrt x)) |
(- 1 (cbrt x)) |
(- 1 (cbrt x)) |
(- 1 (cbrt x)) |
(* -1 (cbrt x)) |
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2))))) |
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2))))) |
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2))))) |
(* (cbrt x) (cbrt -1)) |
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x))) |
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x))) |
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x))) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
1 |
(+ 1 (* 1/3 x)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(cbrt x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
1 |
(+ 1 (* -1/3 x)) |
(+ 1 (* x (- (* 2/9 x) 1/3))) |
(+ 1 (* x (- (* x (+ 2/9 (* -14/81 x))) 1/3))) |
(cbrt (- (/ 1 x) (/ 1 (pow x 2)))) |
(+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))) |
(+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (+ (* -1/3 (* (/ 1 (pow x 4)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))))) |
(+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (+ (* -1/3 (* (/ 1 (pow x 4)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (+ (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (pow x 5)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))))) |
(cbrt (- (/ 1 x) (/ 1 (pow x 2)))) |
(+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))) |
(+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* -1/3 (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))) (* 1/3 (* (/ 1 x) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))) (pow x 3)))) |
(+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))) (* 1/3 (* (/ 1 x) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))) x)) (* -1/3 (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (pow x 3)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(/ 1 x) |
(/ (- 1 (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(/ 1 x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(- 1 (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 (* x (- (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (* (pow -1 1/9) (cbrt (/ 1 (pow x 2))))))) |
(* -1 (* x (- (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* (pow -1 1/9) (cbrt (/ 1 (pow x 2))))))) |
(* -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))) (* (pow -1 1/9) (cbrt (/ 1 (pow x 2))))))) |
(* -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))) (* (pow -1 1/9) (cbrt (/ 1 (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 (* (pow -1 1/9) (cbrt x))) |
(* -1 (* (pow -1 1/9) (cbrt x))) |
(* -1 (* (pow -1 1/9) (cbrt x))) |
(* -1 (* (pow -1 1/9) (cbrt 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)) |
(cbrt x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2)))))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) |
(* -1 (* x (+ (* -1 (/ (- (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (- (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))) (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(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)))))) |
(pow (* 1 (pow x 2)) 1/9) |
(pow (* 1 (pow x 2)) 1/9) |
(pow (* 1 (pow x 2)) 1/9) |
(pow (* 1 (pow x 2)) 1/9) |
(pow (* 1 (pow x 2)) 1/9) |
(pow (* 1 (pow x 2)) 1/9) |
(pow (* 1 (pow x 2)) 1/9) |
(pow (* 1 (pow x 2)) 1/9) |
(pow (* 1 (pow x 2)) 1/9) |
(pow (* 1 (pow x 2)) 1/9) |
(pow (* 1 (pow x 2)) 1/9) |
(pow (* 1 (pow x 2)) 1/9) |
(pow (* 1 x) 1/9) |
(pow (* 1 x) 1/9) |
(pow (* 1 x) 1/9) |
(pow (* 1 x) 1/9) |
(pow (* 1 x) 1/9) |
(pow (* 1 x) 1/9) |
(pow (* 1 x) 1/9) |
(pow (* 1 x) 1/9) |
(exp (* 1/9 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(exp (* 1/9 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(exp (* 1/9 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(exp (* 1/9 (+ (log -1) (* -1 (log (/ -1 x)))))) |
| Outputs |
|---|
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(* -1 (cbrt x)) |
(neg.f64 (cbrt.f64 x)) |
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 x) #s(literal 1 binary64)) |
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 x) #s(literal 1 binary64)) |
(* x (- (/ 1 x) (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 x) #s(literal 1 binary64)) |
(* (cbrt x) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x))) |
(fma.f64 x (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) |
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x))) |
(fma.f64 x (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) |
(* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ 1 x))) |
(fma.f64 x (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x))) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(fma.f64 #s(literal 1/3 binary64) x (-.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 (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.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 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -10/243 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 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (*.f64 x x)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)) (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 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 5/81 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (*.f64 #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 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 (pow.f64 x #s(literal 4 binary64))) (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 #s(literal 5/81 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (/.f64 #s(literal 10/243 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/3 x)) |
(fma.f64 #s(literal 1/3 binary64) x #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 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 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 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 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 -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (fma.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 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64)))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(neg.f64 (fma.f64 x (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/9 binary64) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 x x)))) |
(* -1 (* 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) |
(+ 1 (* -1/3 x)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) |
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(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -14/81 binary64) #s(literal 2/9 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- x 1))) |
(fma.f64 x x (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(fma.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/ 1 x) |
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(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
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(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(fma.f64 #s(literal 1/3 binary64) x (-.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)) |
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(* 1/3 (cbrt (/ 1 (pow x 2)))) |
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(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
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(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
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(* -1 (* x (- (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (* (pow -1 1/9) (cbrt (/ 1 (pow x 2))))))) |
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(* -1 (* x (- (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* (pow -1 1/9) (cbrt (/ 1 (pow x 2))))))) |
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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))) (* (pow -1 1/9) (cbrt (/ 1 (pow x 2))))))) |
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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))) (* (pow -1 1/9) (cbrt (/ 1 (pow x 2))))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 1/3 x)) |
(fma.f64 #s(literal 1/3 binary64) x #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 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 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 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 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 -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x))) |
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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))))) |
(neg.f64 (fma.f64 x (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/9 binary64) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 x x)))) |
(* -1 (* 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) |
(+ 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 (* (pow -1 1/9) (cbrt x))) |
(*.f64 (cbrt.f64 x) (pow.f64 #s(literal -1 binary64) #s(literal 10/9 binary64))) |
(* -1 (* (pow -1 1/9) (cbrt x))) |
(*.f64 (cbrt.f64 x) (pow.f64 #s(literal -1 binary64) #s(literal 10/9 binary64))) |
(* -1 (* (pow -1 1/9) (cbrt x))) |
(*.f64 (cbrt.f64 x) (pow.f64 #s(literal -1 binary64) #s(literal 10/9 binary64))) |
(* -1 (* (pow -1 1/9) (cbrt x))) |
(*.f64 (cbrt.f64 x) (pow.f64 #s(literal -1 binary64) #s(literal 10/9 binary64))) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(fma.f64 #s(literal 1/3 binary64) x (-.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))) |
(cbrt x) |
(cbrt.f64 x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2)))))) |
#s(literal 0 binary64) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 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)))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x))) |
(* -1 (* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) |
(neg.f64 (fma.f64 x (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x))) |
(* -1 (* x (+ (* -1 (/ (- (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(neg.f64 (fma.f64 x (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/3 binary64) (cbrt.f64 x)))) |
(* -1 (* x (+ (* -1 (/ (- (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))) (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(neg.f64 (fma.f64 x (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal -1/9 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/3 binary64) (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) |
(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) |
(pow (* 1 (pow x 2)) 1/9) |
(pow.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(pow (* 1 (pow x 2)) 1/9) |
(pow.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(pow (* 1 (pow x 2)) 1/9) |
(pow.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(pow (* 1 (pow x 2)) 1/9) |
(pow.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(pow (* 1 (pow x 2)) 1/9) |
(pow.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(pow (* 1 (pow x 2)) 1/9) |
(pow.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(pow (* 1 (pow x 2)) 1/9) |
(pow.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(pow (* 1 (pow x 2)) 1/9) |
(pow.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(pow (* 1 (pow x 2)) 1/9) |
(pow.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(pow (* 1 (pow x 2)) 1/9) |
(pow.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(pow (* 1 (pow x 2)) 1/9) |
(pow.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(pow (* 1 (pow x 2)) 1/9) |
(pow.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(pow (* 1 x) 1/9) |
(pow.f64 x #s(literal 1/9 binary64)) |
(pow (* 1 x) 1/9) |
(pow.f64 x #s(literal 1/9 binary64)) |
(pow (* 1 x) 1/9) |
(pow.f64 x #s(literal 1/9 binary64)) |
(pow (* 1 x) 1/9) |
(pow.f64 x #s(literal 1/9 binary64)) |
(pow (* 1 x) 1/9) |
(pow.f64 x #s(literal 1/9 binary64)) |
(pow (* 1 x) 1/9) |
(pow.f64 x #s(literal 1/9 binary64)) |
(pow (* 1 x) 1/9) |
(pow.f64 x #s(literal 1/9 binary64)) |
(pow (* 1 x) 1/9) |
(pow.f64 x #s(literal 1/9 binary64)) |
(exp (* 1/9 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 x #s(literal 1/9 binary64)) |
(exp (* 1/9 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 x #s(literal 1/9 binary64)) |
(exp (* 1/9 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 x #s(literal 1/9 binary64)) |
(exp (* 1/9 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 x #s(literal 1/9 binary64)) |
Compiled 36 640 to 4 075 computations (88.9% saved)
39 alts after pruning (36 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 920 | 32 | 1 952 |
| Fresh | 19 | 4 | 23 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 942 | 39 | 1 981 |
| Status | Accuracy | Program |
|---|---|---|
| 24.6% | (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -10/243 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 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (*.f64 x x)) | |
| 24.2% | (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) | |
| 24.5% | (/.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)) | |
| 24.3% | (/.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)) | |
| 90.8% | (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64))) | |
| 97.1% | (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) | |
| 47.8% | (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))) | |
| 97.0% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)) (cbrt.f64 x)) | |
| 47.8% | (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 x x)) (+.f64 #s(literal 1 binary64) (-.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))))) (+.f64 #s(literal 1 binary64) (+.f64 x x))) | |
| 49.5% | (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (neg.f64 (*.f64 x x)))) | |
| 89.4% | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) | |
| 89.4% | (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) | |
| ✓ | 6.1% | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
| ▶ | 4.5% | (-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x)) |
| 7.1% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| ✓ | 6.2% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 89.4% | (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) | |
| 45.3% | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) | |
| 22.8% | (*.f64 x (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))))) | |
| 46.2% | (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))) | |
| 97.1% | (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) | |
| 90.8% | (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64)))) | |
| 90.8% | (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/9 binary64))) (pow.f64 x #s(literal 5/9 binary64)))) | |
| ▶ | 97.0% | (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
| ▶ | 97.2% | (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))) |
| 89.4% | (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))) | |
| 97.1% | (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))) | |
| 97.1% | (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))) | |
| 89.8% | (*.f64 #s(literal 1/3 binary64) (exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64))))) | |
| 50.0% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64)))) | |
| 50.3% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) | |
| 50.2% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64))))) | |
| 50.2% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) | |
| 49.3% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 1/2 binary64)))))) | |
| 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)))) |
| ▶ | 50.3% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) |
| 5.2% | (cbrt.f64 x) | |
| ▶ | 4.2% | #s(literal 0 binary64) |
Compiled 981 to 671 computations (31.6% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (log1p.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (log1p.f64 x)) |
| ✓ | cost-diff | 0 | (-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x)) |
| ✓ | cost-diff | 6528 | (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) |
| ✓ | cost-diff | 0 | (cbrt.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| ✓ | cost-diff | 320 | (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) |
| ✓ | cost-diff | 704 | (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) |
| ✓ | cost-diff | 0 | (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))) |
| 230× | lower-fma.f64 |
| 230× | lower-fma.f32 |
| 228× | lower-*.f32 |
| 218× | lower-*.f64 |
| 94× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 113 |
| 0 | 42 | 113 |
| 1 | 64 | 105 |
| 2 | 83 | 103 |
| 3 | 99 | 103 |
| 4 | 114 | 103 |
| 5 | 141 | 103 |
| 6 | 189 | 103 |
| 7 | 229 | 103 |
| 8 | 274 | 103 |
| 9 | 302 | 103 |
| 10 | 452 | 103 |
| 11 | 531 | 103 |
| 12 | 585 | 103 |
| 13 | 609 | 103 |
| 14 | 613 | 103 |
| 0 | 613 | 103 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))) |
#s(literal 1/3 binary64) |
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) |
(cbrt.f64 (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(cbrt.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(literal 0 binary64) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) |
#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) x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
#s(literal 1/3 binary64) |
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
#s(literal 1 binary64) |
(cbrt.f64 x) |
x |
(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x)) |
(exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) |
(*.f64 #s(literal 1/3 binary64) (log1p.f64 x)) |
#s(literal 1/3 binary64) |
(log1p.f64 x) |
x |
(cbrt.f64 x) |
| Outputs |
|---|
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) (cbrt.f64 (neg.f64 x))) |
#s(literal 1/3 binary64) |
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) |
(cbrt.f64 (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(cbrt.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(literal 0 binary64) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
#s(literal 1/3 binary64) |
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) |
#s(literal 1/3 binary64) |
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
#s(literal 1 binary64) |
(cbrt.f64 x) |
x |
(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal 1/3 binary64) (log1p.f64 x)) |
#s(literal 1/3 binary64) |
(log1p.f64 x) |
x |
(cbrt.f64 x) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 1/3 binary64) (log1p.f64 x)) |
| ✓ | accuracy | 99.2% | (cbrt.f64 x) |
| ✓ | accuracy | 93.4% | (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) |
| ✓ | accuracy | 6.2% | (-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| ✓ | accuracy | 99.5% | (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
| ✓ | accuracy | 99.3% | (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
| ✓ | accuracy | 99.2% | (cbrt.f64 x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.5% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 51.7% | (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 99.5% | (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))) |
| ✓ | accuracy | 99.3% | (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) |
| ✓ | accuracy | 99.2% | (cbrt.f64 (neg.f64 x)) |
| ✓ | accuracy | 99.0% | (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) |
| 127.0ms | 204× | 1 | valid |
| 33.0ms | 46× | 2 | valid |
| 1.0ms | 6× | 0 | valid |
Compiled 123 to 25 computations (79.7% saved)
ival-exp: 44.0ms (34.2% of total)ival-neg: 15.0ms (11.6% of total)ival-mult: 14.0ms (10.9% of total)ival-log1p: 13.0ms (10.1% of total)ival-div: 12.0ms (9.3% of total)const: 10.0ms (7.8% of total)ival-cbrt: 9.0ms (7% of total)adjust: 8.0ms (6.2% of total)ival-sub: 4.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))))> |
#<alt (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))> |
#<alt (cbrt.f64 (/.f64 #s(literal -1 binary64) x))> |
#<alt (/.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))> |
#<alt (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))> |
#<alt (/.f64 #s(literal 1 binary64) x)> |
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))> |
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))> |
#<alt (/.f64 #s(literal 1 binary64) (cbrt.f64 x))> |
#<alt (cbrt.f64 x)> |
#<alt (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x)))> |
#<alt (-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x))> |
#<alt (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))> |
#<alt (log1p.f64 x)> |
#<alt (cbrt.f64 (neg.f64 x))> |
| Outputs |
|---|
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (* (cbrt (/ 1 x)) (cbrt -1))> |
#<alt (* (cbrt (/ 1 x)) (cbrt -1))> |
#<alt (* (cbrt (/ 1 x)) (cbrt -1))> |
#<alt (* (cbrt (/ 1 x)) (cbrt -1))> |
#<alt (* (cbrt (/ 1 x)) (cbrt -1))> |
#<alt (* (cbrt (/ 1 x)) (cbrt -1))> |
#<alt (* (cbrt (/ 1 x)) (cbrt -1))> |
#<alt (* (cbrt (/ 1 x)) (cbrt -1))> |
#<alt (* (cbrt (/ 1 x)) (cbrt -1))> |
#<alt (* (cbrt (/ 1 x)) (cbrt -1))> |
#<alt (* (cbrt (/ 1 x)) (cbrt -1))> |
#<alt (* (cbrt (/ 1 x)) (cbrt -1))> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ 1 (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 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (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 (* 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 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (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 (* 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 (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 (* 1/3 x)> |
#<alt (* x (+ 1/3 (* -1/6 x)))> |
#<alt (* x (+ 1/3 (* x (- (* 1/9 x) 1/6))))> |
#<alt (* x (+ 1/3 (* x (- (* x (+ 1/9 (* -1/12 x))) 1/6))))> |
#<alt (* -1/3 (log (/ 1 x)))> |
#<alt (+ (* -1/3 (log (/ 1 x))) (* 1/3 (/ 1 x)))> |
#<alt (- (+ (* -1/3 (log (/ 1 x))) (* 1/3 (/ 1 x))) (/ 1/6 (pow x 2)))> |
#<alt (- (+ (* -1/3 (log (/ 1 x))) (+ (* 1/3 (/ 1 x)) (* 1/9 (/ 1 (pow x 3))))) (/ 1/6 (pow x 2)))> |
#<alt (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (+ (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))) (* 1/3 (/ 1 x)))> |
#<alt (+ (* -1 (/ (- (* 1/6 (/ 1 x)) 1/3) x)) (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/6) x)) 1/3) x)) (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/2 x)))> |
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))> |
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))> |
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))> |
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))> |
#<alt (* (cbrt x) (cbrt -1))> |
#<alt (* (cbrt x) (cbrt -1))> |
#<alt (* (cbrt x) (cbrt -1))> |
#<alt (* (cbrt x) (cbrt -1))> |
#<alt (* (cbrt x) (cbrt -1))> |
#<alt (* (cbrt x) (cbrt -1))> |
#<alt (* (cbrt x) (cbrt -1))> |
#<alt (* (cbrt x) (cbrt -1))> |
#<alt (* -1 (cbrt x))> |
#<alt (* -1 (cbrt x))> |
#<alt (* -1 (cbrt x))> |
#<alt (* -1 (cbrt x))> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | x | @ | 0 | (cbrt (neg x)) |
| 12.0ms | x | @ | inf | (* 1/3 (/ (/ 1 (cbrt x)) (cbrt x))) |
| 4.0ms | x | @ | inf | (cbrt (/ -1 x)) |
| 3.0ms | x | @ | -inf | (* 1/3 (/ (/ 1 (cbrt x)) (cbrt x))) |
| 3.0ms | x | @ | -inf | (/ (/ 1 (cbrt x)) (cbrt x)) |
| 1× | batch-egg-rewrite |
| 3 378× | lower-fma.f64 |
| 3 378× | lower-fma.f32 |
| 2 720× | lower-*.f32 |
| 2 714× | lower-*.f64 |
| 1 578× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 97 |
| 0 | 41 | 90 |
| 1 | 128 | 70 |
| 2 | 673 | 68 |
| 3 | 5159 | 68 |
| 0 | 9361 | 60 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))) |
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) |
(cbrt.f64 (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) |
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(cbrt.f64 x) |
(exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) |
(-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x)) |
(*.f64 #s(literal 1/3 binary64) (log1p.f64 x)) |
(log1p.f64 x) |
(cbrt.f64 (neg.f64 x)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(neg.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (cbrt.f64 x)) |
(/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64)))) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2/3 binary64))) |
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(-.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (log1p.f64 x)) |
(-.f64 (log.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) (log1p.f64 (*.f64 x (*.f64 x x)))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) |
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (log1p.f64 (*.f64 x x))) |
(fma.f64 #s(literal 1/3 binary64) (log1p.f64 x) (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) |
(fma.f64 #s(literal -1 binary64) (log1p.f64 x) (log1p.f64 (*.f64 x x))) |
(fma.f64 #s(literal -1 binary64) (log1p.f64 (fma.f64 x x x)) (log1p.f64 (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 x)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (log1p.f64 x) #s(literal 0 binary64)) |
(fma.f64 (log1p.f64 x) #s(literal 1/3 binary64) (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))) |
(fma.f64 (log1p.f64 x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (log1p.f64 x) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) |
(fma.f64 (log1p.f64 x) (log.f64 (*.f64 (exp.f64 #s(literal 1/3 binary64)) (exp.f64 #s(literal 2/3 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x)) #s(literal 3 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log1p.f64 x)) (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))) |
(fma.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 0 binary64)) |
(fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) (log1p.f64 x)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 2/3 binary64) (log1p.f64 x) (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) |
(fma.f64 (*.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) |
(fma.f64 #s(literal 3/2 binary64) (*.f64 (log1p.f64 x) #s(literal 2/3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (log.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))))) |
(fma.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal 2/3 binary64) (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))) |
(fma.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1/3 binary64) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (log1p.f64 x) #s(literal 1/2 binary64) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) #s(literal 1/3 binary64) (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) #s(literal 1/3 binary64) (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))) |
(neg.f64 (neg.f64 (log1p.f64 x))) |
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (fma.f64 x x x)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) |
(log1p.f64 x) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (log1p.f64 x) #s(literal 3 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 x))) |
(*.f64 #s(literal 1 binary64) (log1p.f64 x)) |
(*.f64 (log1p.f64 x) #s(literal 1 binary64)) |
(*.f64 (log1p.f64 x) (log.f64 (*.f64 (exp.f64 #s(literal 1/3 binary64)) (exp.f64 #s(literal 2/3 binary64))))) |
(*.f64 (log1p.f64 x) (log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x)) #s(literal 3 binary64)) |
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) |
(*.f64 (*.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 3/2 binary64) (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))) |
(*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1/3 binary64)) |
(exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (log.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/6 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 2/3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) #s(literal -1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1/3 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))) |
(+.f64 #s(literal 0 binary64) (cbrt.f64 x)) |
(-.f64 #s(literal 0 binary64) (cbrt.f64 x)) |
(cbrt.f64 x) |
(neg.f64 (cbrt.f64 x)) |
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/3 binary64))) |
(/.f64 x (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (*.f64 #s(literal 0 binary64) (cbrt.f64 x))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/3 binary64))) |
(/.f64 (cbrt.f64 x) #s(literal -1 binary64)) |
(/.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(/.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))) |
(/.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) |
(/.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 x)) |
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal -1/3 binary64))) |
(/.f64 (cbrt.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/6 binary64))) (pow.f64 x #s(literal -1/6 binary64))) |
(/.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal -1/3 binary64))) |
(pow.f64 x #s(literal 1/3 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/6 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)) |
(*.f64 #s(literal -1 binary64) (cbrt.f64 x)) |
(*.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) #s(literal -1 binary64)) |
(*.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))) |
(*.f64 (cbrt.f64 x) (pow.f64 #s(literal -1 binary64) #s(literal -1/3 binary64))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (/.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 #s(literal -1 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (/.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (/.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/9 binary64)) (pow.f64 x #s(literal 2/9 binary64))) |
(*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/3 binary64)) (cbrt.f64 x)) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) (cbrt.f64 x)) |
| 1× | egg-herbie |
| 11 612× | lower-fma.f64 |
| 11 612× | lower-fma.f32 |
| 4 248× | lower-*.f64 |
| 4 248× | lower-*.f32 |
| 3 670× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 236 | 1740 |
| 1 | 620 | 1666 |
| 2 | 1548 | 1652 |
| 3 | 4322 | 1645 |
| 0 | 8129 | 1594 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ 1 (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 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(* (cbrt (/ 1 (pow x 2))) (/ 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))) |
(* 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 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(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 (* 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 (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)) |
(* 1/3 x) |
(* x (+ 1/3 (* -1/6 x))) |
(* x (+ 1/3 (* x (- (* 1/9 x) 1/6)))) |
(* x (+ 1/3 (* x (- (* x (+ 1/9 (* -1/12 x))) 1/6)))) |
(* -1/3 (log (/ 1 x))) |
(+ (* -1/3 (log (/ 1 x))) (* 1/3 (/ 1 x))) |
(- (+ (* -1/3 (log (/ 1 x))) (* 1/3 (/ 1 x))) (/ 1/6 (pow x 2))) |
(- (+ (* -1/3 (log (/ 1 x))) (+ (* 1/3 (/ 1 x)) (* 1/9 (/ 1 (pow x 3))))) (/ 1/6 (pow x 2))) |
(* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))) |
(+ (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (- (* 1/6 (/ 1 x)) 1/3) x)) (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(+ (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/6) x)) 1/3) x)) (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) |
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ 1 x)) |
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
| Outputs |
|---|
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ 1 (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) (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 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(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))) |
(/.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)))) |
(*.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 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/3 x)) |
(fma.f64 #s(literal 1/3 binary64) x #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 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) (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))))))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(neg.f64 (fma.f64 x (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/9 binary64) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 x x)))) |
(* -1 (* 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))))) |
(neg.f64 (fma.f64 x (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (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 #s(literal -5/81 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x)))) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(fma.f64 #s(literal 1/3 binary64) x (-.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)) |
(-.f64 (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.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 (pow.f64 x #s(literal 4 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (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)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64) (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)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (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 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 5/81 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (*.f64 #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 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 (pow.f64 x #s(literal 4 binary64))) (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 #s(literal 5/81 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (/.f64 #s(literal 10/243 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* x (+ 1/3 (* -1/6 x))) |
(*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/3 binary64))) |
(* x (+ 1/3 (* x (- (* 1/9 x) 1/6)))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) |
(* x (+ 1/3 (* x (- (* x (+ 1/9 (* -1/12 x))) 1/6)))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/9 binary64)) #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) |
(* -1/3 (log (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (log.f64 x)) |
(+ (* -1/3 (log (/ 1 x))) (* 1/3 (/ 1 x))) |
(fma.f64 #s(literal 1/3 binary64) (log.f64 x) (/.f64 #s(literal 1/3 binary64) x)) |
(- (+ (* -1/3 (log (/ 1 x))) (* 1/3 (/ 1 x))) (/ 1/6 (pow x 2))) |
(fma.f64 #s(literal 1/3 binary64) (log.f64 x) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/6 binary64) x)) x)) |
(- (+ (* -1/3 (log (/ 1 x))) (+ (* 1/3 (/ 1 x)) (* 1/9 (/ 1 (pow x 3))))) (/ 1/6 (pow x 2))) |
(fma.f64 #s(literal 1/3 binary64) (log.f64 x) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/9 binary64) x)) x)) x)) |
(* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))) |
(*.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) |
(+ (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))) (* 1/3 (/ 1 x))) |
(fma.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (/.f64 #s(literal 1/3 binary64) x)) |
(+ (* -1 (/ (- (* 1/6 (/ 1 x)) 1/3) x)) (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(fma.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/6 binary64) x)) x)) |
(+ (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/6) x)) 1/3) x)) (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(fma.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/9 binary64) x)) x)) x)) |
x |
(* x (+ 1 (* -1/2 x))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(+ (* -1 (log (/ 1 x))) (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x)) |
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) |
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x)) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) (neg.f64 (log.f64 (neg.f64 x))))) |
(* (cbrt x) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(* (cbrt x) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(* (cbrt x) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(* (cbrt x) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(* (cbrt x) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(* (cbrt x) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(* (cbrt x) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(* (cbrt x) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(* -1 (cbrt x)) |
(neg.f64 (cbrt.f64 x)) |
(* -1 (cbrt x)) |
(neg.f64 (cbrt.f64 x)) |
(* -1 (cbrt x)) |
(neg.f64 (cbrt.f64 x)) |
(* -1 (cbrt x)) |
(neg.f64 (cbrt.f64 x)) |
Compiled 20 346 to 3 374 computations (83.4% saved)
43 alts after pruning (36 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 524 | 11 | 1 535 |
| Fresh | 6 | 25 | 31 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 531 | 43 | 1 574 |
| Status | Accuracy | Program |
|---|---|---|
| 24.6% | (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64) (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)) | |
| 24.2% | (/.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)) | |
| 24.5% | (/.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)) | |
| 24.3% | (/.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)) | |
| 90.8% | (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64))) | |
| 97.1% | (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) | |
| 47.8% | (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))) | |
| ▶ | 97.0% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
| 47.8% | (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 x x)) (+.f64 #s(literal 1 binary64) (-.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))))) (+.f64 #s(literal 1 binary64) (+.f64 x x))) | |
| 49.5% | (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (neg.f64 (*.f64 x x)))) | |
| 89.4% | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) | |
| 89.4% | (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))) | |
| 89.4% | (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) | |
| ✓ | 6.1% | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
| ✓ | 4.5% | (-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x)) |
| 7.1% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| ✓ | 6.2% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 89.4% | (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) | |
| 45.3% | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) | |
| 22.8% | (*.f64 x (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))))) | |
| 46.2% | (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))) | |
| 97.1% | (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) | |
| 90.8% | (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64)))) | |
| 90.8% | (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/9 binary64))) (pow.f64 x #s(literal 5/9 binary64)))) | |
| ✓ | 97.0% | (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
| 97.1% | (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))) (cbrt.f64 (neg.f64 x)))) | |
| ▶ | 97.2% | (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))) |
| 97.1% | (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))) (cbrt.f64 (neg.f64 x)))) | |
| 89.4% | (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))) | |
| 97.1% | (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))) | |
| 97.1% | (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))) | |
| 89.8% | (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64)))) | |
| ▶ | 50.2% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64)))) |
| 50.2% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 4 binary64)))) | |
| 50.0% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64)))) | |
| 50.3% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) | |
| 50.2% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) | |
| ✓ | 49.4% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 50.1% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)))) | |
| ▶ | 23.8% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)))) |
| ✓ | 50.3% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) |
| ▶ | 5.2% | (cbrt.f64 x) |
| ✓ | 4.2% | #s(literal 0 binary64) |
Compiled 1 025 to 712 computations (30.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64)) |
| ✓ | cost-diff | 0 | (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64)))) |
| ✓ | cost-diff | 5824 | (pow.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (cbrt.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
| ✓ | cost-diff | 0 | (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)))) |
| ✓ | cost-diff | 512 | (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 1280 | (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (cbrt.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))) |
| 4 036× | lower-*.f32 |
| 4 022× | lower-*.f64 |
| 1 960× | lower-/.f32 |
| 1 948× | lower-/.f64 |
| 1 646× | cube-prod |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 157 |
| 0 | 46 | 137 |
| 1 | 76 | 134 |
| 2 | 155 | 113 |
| 3 | 519 | 113 |
| 4 | 2121 | 113 |
| 5 | 3469 | 113 |
| 6 | 4345 | 113 |
| 7 | 5464 | 113 |
| 8 | 7511 | 113 |
| 0 | 8062 | 113 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))) |
#s(literal 1/3 binary64) |
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(cbrt.f64 x) |
(cbrt.f64 x) |
x |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)))) |
#s(literal 1/3 binary64) |
(cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(neg.f64 (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
#s(literal 1 binary64) |
(cbrt.f64 x) |
x |
#s(literal 1/3 binary64) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64)))) |
#s(literal 1/3 binary64) |
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))) |
(pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
#s(literal -4 binary64) |
| Outputs |
|---|
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) |
#s(literal 1/3 binary64) |
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(cbrt.f64 x) |
(cbrt.f64 x) |
x |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
#s(literal 1/3 binary64) |
(cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(neg.f64 (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) (neg.f64 x)) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
#s(literal 1 binary64) |
(cbrt.f64 x) |
x |
#s(literal 1/3 binary64) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))) |
#s(literal 1/3 binary64) |
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))) |
(cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))) |
(pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 1/2 binary64) |
#s(literal -4 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (pow.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64)))) |
| ✓ | accuracy | 99.3% | (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64)) |
| ✓ | accuracy | 51.7% | (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
| ✓ | accuracy | 99.4% | (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 99.2% | (cbrt.f64 x) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.5% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)))) |
| ✓ | accuracy | 51.7% | (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) |
| ✓ | accuracy | 26.7% | (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
| ✓ | accuracy | 99.2% | (cbrt.f64 x) |
| ✓ | accuracy | 99.5% | (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))) |
| ✓ | accuracy | 99.3% | (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) |
| ✓ | accuracy | 99.2% | (cbrt.f64 x) |
| ✓ | accuracy | 99.0% | (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| 50.0ms | 256× | 0 | valid |
Compiled 159 to 28 computations (82.4% saved)
ival-div: 9.0ms (25.7% of total)ival-mult: 9.0ms (25.7% of total)ival-cbrt: 5.0ms (14.3% of total)const: 4.0ms (11.4% of total)ival-pow: 3.0ms (8.6% of total)ival-sqrt: 2.0ms (5.7% of total)ival-neg: 2.0ms (5.7% of total)exact: 1.0ms (2.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)))> |
#<alt (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))> |
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) x))> |
#<alt (/.f64 #s(literal 1 binary64) x)> |
#<alt (cbrt.f64 x)> |
#<alt (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))> |
#<alt (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (*.f64 x x))))> |
#<alt (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))))> |
#<alt (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)))> |
#<alt (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)) (cbrt.f64 x))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) (cbrt.f64 x))> |
#<alt (pow.f64 x #s(literal 1/2 binary64))> |
#<alt (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))))> |
#<alt (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64)))> |
#<alt (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))> |
#<alt (*.f64 x (*.f64 x x))> |
| Outputs |
|---|
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))> |
#<alt (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))> |
#<alt (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))> |
#<alt (* (cbrt (/ 1 x)) (pow (cbrt -1) 2))> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (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 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (/ 1 (pow x 4))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))> |
#<alt (* 1/3 (cbrt (/ 1 x)))> |
#<alt (* 1/3 (cbrt (/ 1 x)))> |
#<alt (* 1/3 (cbrt (/ 1 x)))> |
#<alt (* 1/3 (cbrt (/ 1 x)))> |
#<alt (* 1/3 (cbrt (/ 1 x)))> |
#<alt (* 1/3 (cbrt (/ 1 x)))> |
#<alt (* 1/3 (cbrt (/ 1 x)))> |
#<alt (* 1/3 (cbrt (/ 1 x)))> |
#<alt (* 1/3 (cbrt (/ 1 x)))> |
#<alt (* 1/3 (cbrt (/ 1 x)))> |
#<alt (* 1/3 (cbrt (/ 1 x)))> |
#<alt (* 1/3 (cbrt (/ 1 x)))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))> |
#<alt (* 1/3 (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))> |
#<alt (* 1/3 (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))> |
#<alt (* 1/3 (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))> |
#<alt (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))> |
#<alt (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))> |
#<alt (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))> |
#<alt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))> |
#<alt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))> |
#<alt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | x | @ | -inf | (/ (* (/ 1 (cbrt x)) 1/3) (cbrt x)) |
| 26.0ms | x | @ | -inf | (* 1/3 (cbrt (pow (pow x 1/2) -4))) |
| 4.0ms | x | @ | -inf | (cbrt (/ 1 x)) |
| 3.0ms | x | @ | -inf | (* (/ 1 (cbrt x)) 1/3) |
| 2.0ms | x | @ | -inf | (/ 1 (cbrt x)) |
| 1× | batch-egg-rewrite |
| 1 682× | lower-*.f32 |
| 1 672× | lower-*.f64 |
| 1 200× | lower-/.f32 |
| 1 188× | lower-/.f64 |
| 874× | frac-times |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 127 |
| 0 | 46 | 100 |
| 1 | 141 | 87 |
| 2 | 644 | 67 |
| 0 | 4104 | 58 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))) |
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(cbrt.f64 x) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (*.f64 x x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)))) |
(cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64)))) |
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))) |
(pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64)) |
(*.f64 x (*.f64 x x)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1/3 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cbrt.f64 x))) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1/3 binary64))) |
(neg.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1/3 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(/.f64 (pow.f64 x #s(literal -1/3 binary64)) (*.f64 (cbrt.f64 x) #s(literal 3 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (cbrt.f64 x)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) (neg.f64 (cbrt.f64 x))) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 x))) (pow.f64 x #s(literal -2/3 binary64))) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 x))) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (cbrt.f64 (neg.f64 x)) (*.f64 (cbrt.f64 x) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1/3 binary64)) (*.f64 (cbrt.f64 (neg.f64 x)) (neg.f64 (cbrt.f64 x)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (*.f64 (cbrt.f64 x) (cbrt.f64 (neg.f64 x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (cbrt.f64 x) #s(literal 3 binary64)) (cbrt.f64 (neg.f64 x)))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (neg.f64 x)))) |
(/.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 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 x))) (cbrt.f64 x)) (pow.f64 x #s(literal -1/3 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 x))) (neg.f64 (cbrt.f64 x))) (neg.f64 (pow.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (neg.f64 x))) (*.f64 x (cbrt.f64 #s(literal -1 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 x))) #s(literal 1 binary64)) (pow.f64 x #s(literal -2/3 binary64))) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64)))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 x)) #s(literal 1/3 binary64)) (*.f64 x (cbrt.f64 #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) (*.f64 x (cbrt.f64 x))) |
(/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) x) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) (*.f64 x (cbrt.f64 #s(literal -1 binary64)))) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) (*.f64 (cbrt.f64 (neg.f64 x)) x)) |
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) #s(literal -1 binary64)) (cbrt.f64 x)) |
(pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1/3 binary64))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (pow.f64 x #s(literal -1/3 binary64))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1/3 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) (neg.f64 (pow.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 x)))) |
(*.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 x #s(literal -2/3 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/3 binary64)) x) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1/3 binary64)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 x))) (pow.f64 x #s(literal 2/3 binary64))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) (/.f64 (pow.f64 x #s(literal -1/3 binary64)) x)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) x) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (pow.f64 x #s(literal 1/6 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))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1/3 binary64))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2/3 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 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 x))) (cbrt.f64 x)) (cbrt.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 x))) (neg.f64 (cbrt.f64 x))) (neg.f64 (cbrt.f64 x))) |
(exp.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 x) #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 2/3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 (log.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal -2 binary64))) |
(exp.f64 (fma.f64 #s(literal 1/3 binary64) (neg.f64 (log.f64 x)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (log.f64 x))))) |
(exp.f64 (fma.f64 #s(literal 1/3 binary64) (neg.f64 (log.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 x))))) |
(exp.f64 (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 x)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (log.f64 x))))) |
(exp.f64 (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 x))))) |
(exp.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 (log.f64 x))) (*.f64 #s(literal 1/3 binary64) (log.f64 x)))) |
(exp.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 x))) (*.f64 #s(literal 1/3 binary64) (log.f64 x)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal -2/3 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cbrt.f64 x))) (neg.f64 (pow.f64 x #s(literal -2/3 binary64)))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(neg.f64 (neg.f64 (pow.f64 x #s(literal -2/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) (*.f64 x (cbrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (cbrt.f64 x)) (pow.f64 x #s(literal -2/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (neg.f64 x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/3 binary64))) |
(/.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 x)) |
(/.f64 (pow.f64 x #s(literal -1/3 binary64)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) x)) |
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(/.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 x #s(literal -1/3 binary64))) x) |
(/.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 #s(literal -1 binary64))) (*.f64 (cbrt.f64 (neg.f64 x)) x)) |
(/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2/3 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (cbrt.f64 x))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) x) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (neg.f64 x)) x)) |
(pow.f64 x #s(literal -2/3 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) |
(pow.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) #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 1/4 binary64)) #s(literal -8/3 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal -1/3 binary64))) |
(*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (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 -2/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) (neg.f64 (pow.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (neg.f64 (cbrt.f64 x)) (*.f64 (neg.f64 (cbrt.f64 x)) (/.f64 (pow.f64 x #s(literal -1/3 binary64)) x))) |
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) (/.f64 (pow.f64 x #s(literal -1/3 binary64)) x)) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/3 binary64)) x) (pow.f64 x #s(literal 2/3 binary64))) |
(*.f64 (cbrt.f64 (neg.f64 x)) (/.f64 (cbrt.f64 #s(literal -1 binary64)) x)) |
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (cbrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (pow.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -2/3 binary64))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64)) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 2/3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -4/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -4/3 binary64))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) x) (pow.f64 x #s(literal 2/3 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal -1 binary64))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (cbrt.f64 x)) (/.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/3 binary64)) x) (neg.f64 (cbrt.f64 x))) (neg.f64 (cbrt.f64 x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal -1/6 binary64))) (pow.f64 x #s(literal -1/6 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (neg.f64 (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (neg.f64 (*.f64 x x))) (neg.f64 (*.f64 x x)))) |
(/.f64 x (*.f64 x (*.f64 x x))) |
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (*.f64 x x))))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) |
(/.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 x (*.f64 x x)))) |
(/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (neg.f64 (*.f64 x x))))) |
(/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 x x) (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 x x) (neg.f64 (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 x (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x)) x) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) x) |
(pow.f64 x #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -8 binary64)) |
(pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (neg.f64 x)) |
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (*.f64 x x) (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 x)))) |
(+.f64 (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) |
(fma.f64 x (*.f64 x x) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) x #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 x) (neg.f64 (*.f64 x x)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 x) (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (*.f64 x x)) (neg.f64 x) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) #s(literal 0 binary64)) |
(neg.f64 (neg.f64 (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 3 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x x))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (neg.f64 x) (neg.f64 (*.f64 x x))) |
(*.f64 (neg.f64 x) (/.f64 x (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (neg.f64 (*.f64 x x)) (neg.f64 x)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
| 1× | egg-herbie |
| 242× | lower-*.f64 |
| 242× | lower-*.f32 |
| 122× | associate-*l* |
| 120× | associate-*r* |
| 118× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 1132 |
| 1 | 64 | 1124 |
| 2 | 127 | 1124 |
| 3 | 216 | 1124 |
| 4 | 385 | 1124 |
| 5 | 488 | 1124 |
| 6 | 535 | 1124 |
| 7 | 556 | 1124 |
| 8 | 579 | 1124 |
| 9 | 584 | 1124 |
| 0 | 584 | 1124 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2)) |
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2)) |
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2)) |
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(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 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(/ 1 (pow x 4)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))) |
(* 1/3 (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))) |
(* 1/3 (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))) |
(* 1/3 (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))) |
(cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))) |
(cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))) |
(cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (* (pow x 2) (pow (sqrt -1) 4))) |
(/ 1 (* (pow x 2) (pow (sqrt -1) 4))) |
(/ 1 (* (pow x 2) (pow (sqrt -1) 4))) |
(/ 1 (* (pow x 2) (pow (sqrt -1) 4))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
| Outputs |
|---|
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* (cbrt (/ 1 x)) (pow (cbrt -1) 2)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(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))) |
(neg.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(neg.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(neg.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(neg.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (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 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 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)))) |
(* 1/3 (cbrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (cbrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (cbrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (cbrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (cbrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (cbrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (cbrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (cbrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (cbrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (cbrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (cbrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (cbrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.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)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))) |
(*.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) (pow (sqrt -1) 4)))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (* (pow x 2) (pow (sqrt -1) 4))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (* (pow x 2) (pow (sqrt -1) 4))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (* (pow x 2) (pow (sqrt -1) 4))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (* (pow x 2) (pow (sqrt -1) 4))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
Compiled 16 096 to 2 004 computations (87.5% saved)
53 alts after pruning (46 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 324 | 28 | 1 352 |
| Fresh | 13 | 18 | 31 |
| Picked | 3 | 2 | 5 |
| Done | 2 | 5 | 7 |
| Total | 1 342 | 53 | 1 395 |
| Status | Accuracy | Program |
|---|---|---|
| 5.2% | (pow.f64 x #s(literal 1/3 binary64)) | |
| 24.6% | (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64) (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)) | |
| 24.2% | (/.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)) | |
| 24.5% | (/.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)) | |
| 24.3% | (/.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)) | |
| 97.2% | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 x) #s(literal 3 binary64))) (cbrt.f64 x)) | |
| 97.1% | (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) | |
| 47.8% | (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))) | |
| 47.8% | (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 x x)) (+.f64 #s(literal 1 binary64) (-.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))))) (+.f64 #s(literal 1 binary64) (+.f64 x x))) | |
| 97.2% | (/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (cbrt.f64 x)) | |
| 97.9% | (/.f64 (*.f64 (cbrt.f64 (neg.f64 x)) #s(literal 1/3 binary64)) (*.f64 x (cbrt.f64 #s(literal -1 binary64)))) | |
| 97.1% | (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 x))) | |
| 49.5% | (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (neg.f64 (*.f64 x x)))) | |
| 89.4% | (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) | |
| ✓ | 6.1% | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
| ✓ | 4.5% | (-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x)) |
| 7.1% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| ✓ | 6.2% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 89.4% | (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) | |
| 45.3% | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) | |
| 97.7% | (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64))) | |
| 97.7% | (*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) | |
| 22.8% | (*.f64 x (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))))) | |
| 46.2% | (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64))) | |
| 97.1% | (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) | |
| 70.4% | (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (*.f64 x (cbrt.f64 x)))) | |
| 90.8% | (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/3 binary64)))) | |
| 97.7% | (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 x)) (*.f64 x (pow.f64 x #s(literal -1/3 binary64))))) | |
| 96.7% | (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (cbrt.f64 x))) | |
| 97.2% | (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64))) (cbrt.f64 x))) | |
| 97.1% | (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64))) (cbrt.f64 x))) | |
| ✓ | 97.2% | (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))) |
| 97.1% | (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))) (cbrt.f64 (neg.f64 x)))) | |
| 62.9% | (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (*.f64 (/.f64 x (pow.f64 x #s(literal 3/2 binary64))) (/.f64 x (pow.f64 x #s(literal 3/2 binary64))))) (cbrt.f64 x))) | |
| 97.2% | (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (cbrt.f64 x))) | |
| 47.6% | (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (*.f64 x x))) (*.f64 (cbrt.f64 (neg.f64 x)) x))) | |
| 97.9% | (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 x) x)) | |
| 97.8% | (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (neg.f64 x))))) | |
| 70.4% | (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) (*.f64 x (cbrt.f64 x))))) | |
| 97.1% | (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))) | |
| 97.8% | (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 x))) | |
| 96.9% | (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) x)))) | |
| 50.2% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -8 binary64)))) | |
| 50.2% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) | |
| 26.0% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x))))))) | |
| 32.3% | (*.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 x x)))) |
| 32.4% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (*.f64 x x))))))) | |
| 23.8% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (*.f64 x x)))) | |
| 50.2% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)))) | |
| 23.8% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)))) | |
| ✓ | 5.2% | (cbrt.f64 x) |
| ✓ | 4.2% | #s(literal 0 binary64) |
Compiled 1 937 to 874 computations (54.9% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(cbrt.f64 x) |
(pow.f64 x #s(literal 1/3 binary64)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(*.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) (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 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 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 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (*.f64 x x))))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (*.f64 x x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(-.f64 (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))) |
(*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64))))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (*.f64 x (cbrt.f64 x)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (neg.f64 (*.f64 x x)))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 x)) #s(literal 1/3 binary64)) (*.f64 x (cbrt.f64 #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) (*.f64 x (cbrt.f64 x))))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 x) #s(literal 3 binary64))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/9 binary64))) (pow.f64 x #s(literal 5/9 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64)))) |
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (neg.f64 (*.f64 x x))) (*.f64 (cbrt.f64 (neg.f64 x)) x))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) x)))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (neg.f64 x))))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))) |
(/.f64 (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 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (cbrt.f64 x))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 4 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -8 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (pow.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 (*.f64 #s(literal 1/3 binary64) (log.f64 x)))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 x))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64))) (cbrt.f64 x))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 x)) (*.f64 x (pow.f64 x #s(literal -1/3 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x 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 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))) |
(/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.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 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64))))) |
(*.f64 #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 #s(literal 1/3 binary64) (/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (cbrt.f64 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 (+.f64 #s(literal 1 binary64) (+.f64 x x)) (+.f64 #s(literal 1 binary64) (-.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))))) (+.f64 #s(literal 1 binary64) (+.f64 x 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 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) |
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (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)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64))) (cbrt.f64 x))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))) (cbrt.f64 (neg.f64 x)))) |
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (fma.f64 (cbrt.f64 (*.f64 x (sqrt.f64 x))) (cbrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64))) (cbrt.f64 x)) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))))))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))) (cbrt.f64 (neg.f64 x)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (*.f64 (/.f64 x (pow.f64 x #s(literal 3/2 binary64))) (/.f64 x (pow.f64 x #s(literal 3/2 binary64))))) (cbrt.f64 x))) |
(-.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 x))) (cbrt.f64 x)) |
(-.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 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -10/243 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 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (*.f64 x x)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64) (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)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) |
(/.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)) |
| Outputs |
|---|
(/.f64 (*.f64 (cbrt.f64 (neg.f64 x)) #s(literal 1/3 binary64)) (*.f64 x (cbrt.f64 #s(literal -1 binary64)))) |
2 calls:
| 53.0ms | x |
| 47.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 1 | x |
| 97.9% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(cbrt.f64 x) |
(pow.f64 x #s(literal 1/3 binary64)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(*.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) (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 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 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 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (*.f64 x x))))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (*.f64 x x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(-.f64 (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))) |
(*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64))))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (*.f64 x (cbrt.f64 x)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (neg.f64 (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 x) x)) |
2 calls:
| 30.0ms | x |
| 8.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 97.9% | 1 | x |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(cbrt.f64 x) |
(pow.f64 x #s(literal 1/3 binary64)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(*.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) (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 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
2 calls:
| 3.0ms | x |
| 3.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.4% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 89.4% | 1 | x |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(cbrt.f64 x) |
(pow.f64 x #s(literal 1/3 binary64)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| 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 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 5.2% | 1 | x |
Compiled 10 to 7 computations (30% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 0 binary64) |
| Outputs |
|---|
#s(literal 0 binary64) |
2 calls:
| 50.0ms | x |
| 1.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.2% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 4.2% | 1 | x |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
| 10× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 24 |
| 1 | 22 | 24 |
| 2 | 24 | 24 |
| 3 | 25 | 24 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 (cbrt.f64 (neg.f64 x)) #s(literal 1/3 binary64)) (*.f64 x (cbrt.f64 #s(literal -1 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 x) x)) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(cbrt.f64 x) |
#s(literal 0 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 (cbrt.f64 (neg.f64 x)) #s(literal 1/3 binary64)) (*.f64 x (cbrt.f64 #s(literal -1 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 x) x)) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(cbrt.f64 x) |
#s(literal 0 binary64) |
| 11 612× | lower-fma.f64 |
| 11 612× | lower-fma.f32 |
| 9 480× | lower-fma.f64 |
| 9 480× | lower-fma.f32 |
| 8 760× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 107 |
| 0 | 45 | 103 |
| 1 | 164 | 77 |
| 2 | 1091 | 77 |
| 0 | 8372 | 73 |
| 0 | 6 | 16 |
| 0 | 10 | 16 |
| 1 | 43 | 16 |
| 2 | 282 | 16 |
| 3 | 3101 | 16 |
| 0 | 9092 | 16 |
| 0 | 26 | 127 |
| 0 | 46 | 100 |
| 1 | 141 | 87 |
| 2 | 644 | 67 |
| 0 | 4104 | 58 |
| 0 | 236 | 1740 |
| 1 | 620 | 1666 |
| 2 | 1548 | 1652 |
| 3 | 4322 | 1645 |
| 0 | 8129 | 1594 |
| 0 | 146 | 602 |
| 1 | 350 | 564 |
| 2 | 900 | 564 |
| 3 | 2613 | 561 |
| 4 | 5976 | 561 |
| 0 | 8122 | 528 |
| 0 | 275 | 137438955514 |
| 1 | 732 | 137438955313 |
| 2 | 2382 | 103079217120 |
| 3 | 5512 | 51539609650 |
| 0 | 8367 | 1987 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 148 to 104 computations (29.7% saved)
Compiled 118 to 66 computations (44.1% saved)
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