
Time bar (total: 9.5s)
| 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 | 6 308× | 1 | valid |
| 305.0ms | 1 720× | 2 | valid |
| 14.0ms | 228× | 0 | valid |
ival-cbrt: 347.0ms (31.4% of total)ival-add: 257.0ms (23.3% of total)adjust: 204.0ms (18.5% of total)const: 142.0ms (12.9% of total)ival-sub: 81.0ms (7.3% of total)ival->: 30.0ms (2.7% of total)ival-<: 20.0ms (1.8% of total)ival-and: 12.0ms (1.1% of total)exact: 8.0ms (0.7% of total)ival-assert: 3.0ms (0.3% 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 |
| 107.0ms | 410× | 1 | valid |
| 13.0ms | 90× | 2 | valid |
| 1.0ms | 12× | 0 | valid |
Compiled 56 to 28 computations (50% saved)
ival-cbrt: 15.0ms (41.6% of total)adjust: 9.0ms (24.9% of total)ival-add: 6.0ms (16.6% of total)ival-sub: 5.0ms (13.9% 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 |
|---|---|---|
| ▶ | 6.3% | (-.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 | 6.4% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 55.0ms | 205× | 1 | valid |
| 7.0ms | 45× | 2 | valid |
| 0.0ms | 6× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-add: 37.0ms (70.2% of total)ival-cbrt: 8.0ms (15.2% of total)adjust: 5.0ms (9.5% of total)ival-sub: 2.0ms (3.8% 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 | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (- (cbrt (+ x 1)) (cbrt x)) |
| 3.0ms | x | @ | inf | (- (cbrt (+ x 1)) (cbrt x)) |
| 2.0ms | x | @ | 0 | (cbrt x) |
| 1.0ms | x | @ | -inf | (cbrt x) |
| 1.0ms | x | @ | inf | (cbrt x) |
| 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)))) |
| 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))) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1/3 binary64)) (cbrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (cbrt.f64 x))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) |
(fma.f64 (cbrt.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) (neg.f64 (cbrt.f64 x))) |
(fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #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))))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (-.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x 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 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (pow.f64 (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #s(literal 3 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))) (-.f64 (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4/3 binary64))) (neg.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))))) |
(fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #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 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 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (neg.f64 (cbrt.f64 x))) |
(fma.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) |
(fma.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (neg.f64 (cbrt.f64 x))) |
(fma.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (cbrt.f64 (+.f64 x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) |
(fma.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (cbrt.f64 x))) |
(fma.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (cbrt.f64 x))) |
(fma.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) (cbrt.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (neg.f64 (cbrt.f64 x))) |
(fma.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (cbrt.f64 x))) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) (neg.f64 (cbrt.f64 x))) |
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(*.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)))) |
Compiled 8 225 to 1 301 computations (84.2% saved)
31 alts after pruning (30 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 373 | 30 | 403 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 373 | 31 | 404 |
| Status | Accuracy | Program |
|---|---|---|
| 6.1% | (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))))) | |
| ▶ | 7.6% | (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)))) |
| 7.7% | (fma.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) (neg.f64 (cbrt.f64 x))) | |
| 8.5% | (/.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)))))) | |
| 4.9% | (-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x)) | |
| 6.6% | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) | |
| 7.7% | (-.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)))) (cbrt.f64 x)) | |
| 4.7% | (-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x)) | |
| ▶ | 7.6% | (-.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)) |
| 5.6% | (-.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)) | |
| 4.5% | (-.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)) | |
| 6.9% | (-.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)) | |
| 6.4% | (-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) | |
| 7.7% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64))) | |
| 7.6% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) | |
| 7.7% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) | |
| 6.7% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) | |
| 7.7% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| 7.7% | (-.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)))) | |
| 6.9% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)))) | |
| ✓ | 6.3% | (-.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)) | |
| 4.3% | (-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| ▶ | 1.8% | (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
| 4.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) | |
| 28.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (*.f64 x x))) | |
| 27.9% | #s(approx (- (cbrt (+ x 1)) (cbrt 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))) | |
| 27.6% | #s(approx (- (cbrt (+ x 1)) (cbrt 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))) | |
| ▶ | 50.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
Compiled 848 to 564 computations (33.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (pow.f64 x #s(literal 5/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (-.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)) |
| ✓ | cost-diff | 0 | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (pow.f64 x #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 6848 | (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)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
| ✓ | cost-diff | 1472 | (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (cbrt.f64 x) |
| ✓ | cost-diff | 0 | #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 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)))) |
| ✓ | cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
| 354× | lower-fma.f32 |
| 348× | lower-fma.f64 |
| 216× | lower-*.f32 |
| 212× | lower-*.f64 |
| 124× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 159 |
| 0 | 53 | 145 |
| 1 | 74 | 145 |
| 2 | 97 | 145 |
| 3 | 127 | 145 |
| 4 | 154 | 145 |
| 5 | 196 | 145 |
| 6 | 284 | 145 |
| 7 | 345 | 145 |
| 8 | 407 | 145 |
| 9 | 447 | 145 |
| 10 | 483 | 145 |
| 11 | 536 | 145 |
| 12 | 574 | 145 |
| 13 | 589 | 145 |
| 14 | 610 | 145 |
| 15 | 619 | 145 |
| 16 | 621 | 145 |
| 0 | 621 | 145 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #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(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(cbrt.f64 x) |
x |
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
(cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 1 binary64) |
(cbrt.f64 x) |
(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)))) |
(pow.f64 x #s(literal 1/6 binary64)) |
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 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.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)) |
(cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 5/6 binary64)) |
x |
#s(literal 5/6 binary64) |
(pow.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(cbrt.f64 x) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #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(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(cbrt.f64 x) |
x |
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 1 binary64) |
(cbrt.f64 x) |
(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 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(pow.f64 x #s(literal 1/6 binary64)) |
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 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.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 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x)) |
(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 (fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 5/6 binary64)) |
x |
#s(literal 5/6 binary64) |
(pow.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(cbrt.f64 x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.2% | (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 93.6% | (pow.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 90.7% | (pow.f64 x #s(literal 5/6 binary64)) |
| ✓ | accuracy | 6.8% | (-.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)) |
| ✓ | accuracy | 100.0% | (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.2% | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 93.6% | (pow.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 6.4% | (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)))) |
| ✓ | accuracy | 99.2% | (cbrt.f64 x) |
| ✓ | accuracy | 99.2% | (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.2% | (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) |
| ✓ | accuracy | 6.8% | (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
| ✓ | accuracy | 99.2% | (cbrt.f64 x) |
| ✓ | accuracy | 8.3% | #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
| ✓ | accuracy | 6.8% | (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 98.9% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 98.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
| ✓ | accuracy | 53.7% | (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 127.0ms | 204× | 1 | valid |
| 52.0ms | 45× | 2 | valid |
| 3.0ms | 1× | 5 | exit |
| 2.0ms | 6× | 0 | valid |
Compiled 155 to 29 computations (81.3% saved)
ival-pow: 46.0ms (30.3% of total)const: 27.0ms (17.8% of total)ival-cbrt: 18.0ms (11.9% of total)adjust: 17.0ms (11.2% of total)ival-mult: 14.0ms (9.2% of total)ival-add: 12.0ms (7.9% of total)ival-sub: 7.0ms (4.6% of total)ival-sqrt: 5.0ms (3.3% of total)ival-neg: 3.0ms (2% of total)ival-div: 2.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))> |
#<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 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))> |
#<alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))> |
#<alt (cbrt.f64 x)> |
#<alt (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))> |
#<alt (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x))> |
#<alt (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))> |
#<alt (sqrt.f64 x)> |
#<alt (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))))> |
#<alt (pow.f64 x #s(literal 1/6 binary64))> |
#<alt (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))> |
#<alt (cbrt.f64 (+.f64 x #s(literal 1 binary64)))> |
#<alt (-.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))> |
#<alt (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))> |
#<alt (pow.f64 x #s(literal 5/6 binary64))> |
| 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 (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (- 1 (cbrt x))> |
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))> |
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))> |
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))> |
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt 1> |
#<alt (+ 1 (* 1/3 x))> |
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))> |
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))> |
#<alt (cbrt x)> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* -1 (* x (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x))))> |
#<alt (* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x))))> |
#<alt (* -1 (* x (- (pow (sqrt -1) 2) (/ 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 (/ (pow (sqrt -1) 2) (pow x 2))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (- (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1/3 (cbrt (/ 1 (* (pow x 5) (pow (sqrt -1) 4)))))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (- (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1 (/ (+ (* 1/9 (cbrt (/ x (pow (sqrt -1) 10)))) (* 1/3 (cbrt (/ (pow x 4) (pow (sqrt -1) 4))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (- (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (sqrt -1) 10)))) (* -5/81 (cbrt (/ (pow x 7) (pow (sqrt -1) 16))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (sqrt -1) 4))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (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 (pow (sqrt -1) 2))))> |
#<alt (* -1 (* x (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1/3 (cbrt (/ 1 (* (pow x 5) (pow (sqrt -1) 4))))))))> |
#<alt (* -1 (* x (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1 (/ (+ (* 1/9 (cbrt (/ x (pow (sqrt -1) 10)))) (* 1/3 (cbrt (/ (pow x 4) (pow (sqrt -1) 4))))) (pow x 3))))))> |
#<alt (* -1 (* x (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (sqrt -1) 10)))) (* -5/81 (cbrt (/ (pow x 7) (pow (sqrt -1) 16))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (sqrt -1) 4))))) (pow x 3))))))> |
#<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 (* -1 (cbrt x)))> |
#<alt (+ 1 (+ (* -1 (cbrt x)) (* 1/3 x)))> |
#<alt (+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* -1/9 x)))))> |
#<alt (+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (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 (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 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))> |
#<alt (* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -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 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -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 (pow (* 1 x) 1/6)> |
#<alt (pow (* 1 x) 1/6)> |
#<alt (pow (* 1 x) 1/6)> |
#<alt (pow (* 1 x) 1/6)> |
#<alt (pow (* 1 x) 1/6)> |
#<alt (pow (* 1 x) 1/6)> |
#<alt (pow (* 1 x) 1/6)> |
#<alt (pow (* 1 x) 1/6)> |
#<alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (* -1 (pow (* 1 x) 1/6))> |
#<alt (* -1 (pow (* 1 x) 1/6))> |
#<alt (* -1 (pow (* 1 x) 1/6))> |
#<alt (* -1 (pow (* 1 x) 1/6))> |
#<alt (* -1 (pow (* 1 x) 1/6))> |
#<alt (* -1 (pow (* 1 x) 1/6))> |
#<alt (* -1 (pow (* 1 x) 1/6))> |
#<alt (* -1 (pow (* 1 x) 1/6))> |
#<alt (* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))> |
#<alt (* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))> |
#<alt (* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))> |
#<alt (* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/3 x))> |
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))> |
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))> |
#<alt (cbrt x)> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (- 1 (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 (/ (cbrt -1) (pow x 2))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (- (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1/3 (cbrt (/ 1 (* (pow x 5) (pow (cbrt -1) 2)))))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (- (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* 1/9 (cbrt (/ x (pow (cbrt -1) 5)))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (- (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (cbrt -1) 5)))) (* -5/81 (cbrt (/ (pow x 7) (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (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 (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1/3 (cbrt (/ 1 (* (pow x 5) (pow (cbrt -1) 2))))))))> |
#<alt (* -1 (* x (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* 1/9 (cbrt (/ x (pow (cbrt -1) 5)))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3))))))> |
#<alt (* -1 (* x (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (cbrt -1) 5)))) (* -5/81 (cbrt (/ (pow x 7) (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3))))))> |
#<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 (* -1 (* x (cbrt -1)))> |
#<alt (* -1 (* x (- (cbrt -1) (/ 1 x))))> |
#<alt (* -1 (* x (- (cbrt -1) (/ 1 x))))> |
#<alt (* -1 (* x (- (cbrt -1) (/ 1 x))))> |
#<alt (pow (* 1 (pow x 5)) 1/6)> |
#<alt (pow (* 1 (pow x 5)) 1/6)> |
#<alt (pow (* 1 (pow x 5)) 1/6)> |
#<alt (pow (* 1 (pow x 5)) 1/6)> |
#<alt (pow (* 1 (pow x 5)) 1/6)> |
#<alt (pow (* 1 (pow x 5)) 1/6)> |
#<alt (pow (* 1 (pow x 5)) 1/6)> |
#<alt (pow (* 1 (pow x 5)) 1/6)> |
#<alt (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))> |
#<alt (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))> |
#<alt (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))> |
#<alt (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x))))))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | x | @ | 0 | (pow x 1/6) |
| 24.0ms | x | @ | 0 | (* 1/3 (cbrt (/ 1 (* x x)))) |
| 20.0ms | x | @ | -inf | (pow x 1/6) |
| 15.0ms | x | @ | 0 | (pow x 5/6) |
| 9.0ms | x | @ | inf | (pow x 1/6) |
| 1× | egg-herbie |
| 9 808× | lower-fma.f64 |
| 9 808× | lower-fma.f32 |
| 4 596× | lower-*.f64 |
| 4 596× | lower-*.f32 |
| 3 310× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 316 | 3038 |
| 1 | 839 | 2812 |
| 2 | 2930 | 2765 |
| 3 | 7715 | 2749 |
| 0 | 8375 | 2611 |
| 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)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
1 |
(+ 1 (* 1/3 x)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(cbrt x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* -1 (* x (pow (sqrt -1) 2))) |
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x)))) |
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x)))) |
(* -1 (* x (- (pow (sqrt -1) 2) (/ 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 (/ (pow (sqrt -1) 2) (pow x 2))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1/3 (cbrt (/ 1 (* (pow x 5) (pow (sqrt -1) 4)))))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1 (/ (+ (* 1/9 (cbrt (/ x (pow (sqrt -1) 10)))) (* 1/3 (cbrt (/ (pow x 4) (pow (sqrt -1) 4))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (sqrt -1) 10)))) (* -5/81 (cbrt (/ (pow x 7) (pow (sqrt -1) 16))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (sqrt -1) 4))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (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 (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1/3 (cbrt (/ 1 (* (pow x 5) (pow (sqrt -1) 4)))))))) |
(* -1 (* x (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1 (/ (+ (* 1/9 (cbrt (/ x (pow (sqrt -1) 10)))) (* 1/3 (cbrt (/ (pow x 4) (pow (sqrt -1) 4))))) (pow x 3)))))) |
(* -1 (* x (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (sqrt -1) 10)))) (* -5/81 (cbrt (/ (pow x 7) (pow (sqrt -1) 16))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (sqrt -1) 4))))) (pow x 3)))))) |
(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 (* -1 (cbrt x))) |
(+ 1 (+ (* -1 (cbrt x)) (* 1/3 x))) |
(+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* -1/9 x))))) |
(+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2)))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (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 (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 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -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 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -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 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(* -1 (pow (* 1 x) 1/6)) |
(* -1 (pow (* 1 x) 1/6)) |
(* -1 (pow (* 1 x) 1/6)) |
(* -1 (pow (* 1 x) 1/6)) |
(* -1 (pow (* 1 x) 1/6)) |
(* -1 (pow (* 1 x) 1/6)) |
(* -1 (pow (* 1 x) 1/6)) |
(* -1 (pow (* 1 x) 1/6)) |
(* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) |
1 |
(+ 1 (* 1/3 x)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(cbrt x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(- 1 (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 (/ (cbrt -1) (pow x 2))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1/3 (cbrt (/ 1 (* (pow x 5) (pow (cbrt -1) 2)))))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* 1/9 (cbrt (/ x (pow (cbrt -1) 5)))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (cbrt -1) 5)))) (* -5/81 (cbrt (/ (pow x 7) (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (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 (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1/3 (cbrt (/ 1 (* (pow x 5) (pow (cbrt -1) 2)))))))) |
(* -1 (* x (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* 1/9 (cbrt (/ x (pow (cbrt -1) 5)))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3)))))) |
(* -1 (* x (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (cbrt -1) 5)))) (* -5/81 (cbrt (/ (pow x 7) (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3)))))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* -1 (* x (cbrt -1))) |
(* -1 (* x (- (cbrt -1) (/ 1 x)))) |
(* -1 (* x (- (cbrt -1) (/ 1 x)))) |
(* -1 (* x (- (cbrt -1) (/ 1 x)))) |
(pow (* 1 (pow x 5)) 1/6) |
(pow (* 1 (pow x 5)) 1/6) |
(pow (* 1 (pow x 5)) 1/6) |
(pow (* 1 (pow x 5)) 1/6) |
(pow (* 1 (pow x 5)) 1/6) |
(pow (* 1 (pow x 5)) 1/6) |
(pow (* 1 (pow x 5)) 1/6) |
(pow (* 1 (pow x 5)) 1/6) |
(exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) |
(exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) |
(exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) |
(exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) |
| 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 (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 #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 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))))) (*.f64 x x)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (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 (-.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (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 (-.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 (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 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(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 (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 #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 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))))) (*.f64 x x)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (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 (-.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (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 (-.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 (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 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))) |
(*.f64 (cbrt.f64 x) (neg.f64 (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 x (fma.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 x (*.f64 x x))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 x (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (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 (*.f64 x x))))) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* -1 (* x (pow (sqrt -1) 2))) |
x |
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) x) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(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 (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 #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 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))))) (*.f64 x x)) |
(* -1 (* x (- (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))) (neg.f64 x)) |
(* -1 (* x (- (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1/3 (cbrt (/ 1 (* (pow x 5) (pow (sqrt -1) 4)))))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))))) (neg.f64 x)) |
(* -1 (* x (- (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1 (/ (+ (* 1/9 (cbrt (/ x (pow (sqrt -1) 10)))) (* 1/3 (cbrt (/ (pow x 4) (pow (sqrt -1) 4))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (-.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))) (/.f64 (fma.f64 #s(literal 1/9 binary64) (cbrt.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 10 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (*.f64 x (*.f64 x x)))) (neg.f64 x)) |
(* -1 (* x (- (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (sqrt -1) 10)))) (* -5/81 (cbrt (/ (pow x 7) (pow (sqrt -1) 16))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (sqrt -1) 4))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(neg.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 10 binary64)))) (*.f64 #s(literal -5/81 binary64) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 16 binary64)))))) (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))) (*.f64 x x)) (*.f64 x (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.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 (pow (sqrt -1) 2)))) |
(neg.f64 (cbrt.f64 (neg.f64 x))) |
(* -1 (* x (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1/3 (cbrt (/ 1 (* (pow x 5) (pow (sqrt -1) 4)))))))) |
(neg.f64 (*.f64 x (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))))) |
(* -1 (* x (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1 (/ (+ (* 1/9 (cbrt (/ x (pow (sqrt -1) 10)))) (* 1/3 (cbrt (/ (pow x 4) (pow (sqrt -1) 4))))) (pow x 3)))))) |
(neg.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (cbrt.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 10 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (*.f64 x x))) (*.f64 x (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))))) |
(* -1 (* x (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (sqrt -1) 10)))) (* -5/81 (cbrt (/ (pow x 7) (pow (sqrt -1) 16))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (sqrt -1) 4))))) (pow x 3)))))) |
(neg.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 10 binary64)))) (*.f64 #s(literal -5/81 binary64) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 16 binary64)))))) (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))) (*.f64 x x)) (*.f64 x (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x 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 (* -1 (cbrt x))) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(+ 1 (+ (* -1 (cbrt x)) (* 1/3 x))) |
(fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* -1/9 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 (+ (* -1 (cbrt x)) (* 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)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2)))))) |
#s(literal 0 binary64) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (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)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (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 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))))))) |
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
#s(literal 0 binary64) |
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) x) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -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 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 x x))))) |
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -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 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (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))))) |
(pow (* 1 x) 1/6) |
(pow.f64 x #s(literal 1/6 binary64)) |
(pow (* 1 x) 1/6) |
(pow.f64 x #s(literal 1/6 binary64)) |
(pow (* 1 x) 1/6) |
(pow.f64 x #s(literal 1/6 binary64)) |
(pow (* 1 x) 1/6) |
(pow.f64 x #s(literal 1/6 binary64)) |
(pow (* 1 x) 1/6) |
(pow.f64 x #s(literal 1/6 binary64)) |
(pow (* 1 x) 1/6) |
(pow.f64 x #s(literal 1/6 binary64)) |
(pow (* 1 x) 1/6) |
(pow.f64 x #s(literal 1/6 binary64)) |
(pow (* 1 x) 1/6) |
(pow.f64 x #s(literal 1/6 binary64)) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)) |
(* -1 (pow (* 1 x) 1/6)) |
(neg.f64 (pow.f64 x #s(literal 1/6 binary64))) |
(* -1 (pow (* 1 x) 1/6)) |
(neg.f64 (pow.f64 x #s(literal 1/6 binary64))) |
(* -1 (pow (* 1 x) 1/6)) |
(neg.f64 (pow.f64 x #s(literal 1/6 binary64))) |
(* -1 (pow (* 1 x) 1/6)) |
(neg.f64 (pow.f64 x #s(literal 1/6 binary64))) |
(* -1 (pow (* 1 x) 1/6)) |
(neg.f64 (pow.f64 x #s(literal 1/6 binary64))) |
(* -1 (pow (* 1 x) 1/6)) |
(neg.f64 (pow.f64 x #s(literal 1/6 binary64))) |
(* -1 (pow (* 1 x) 1/6)) |
(neg.f64 (pow.f64 x #s(literal 1/6 binary64))) |
(* -1 (pow (* 1 x) 1/6)) |
(neg.f64 (pow.f64 x #s(literal 1/6 binary64))) |
(* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64))) |
(* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64))) |
(* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64))) |
(* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64))) |
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))) |
(*.f64 (cbrt.f64 x) (neg.f64 (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 x (fma.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 x (*.f64 x x))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 x (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (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 (*.f64 x x))))) |
(- 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 (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 #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 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))))) (*.f64 x x)) |
(* -1 (* x (- (cbrt (/ (cbrt -1) (pow x 2))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(neg.f64 (*.f64 x (-.f64 (cbrt.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* x (- (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1/3 (cbrt (/ 1 (* (pow x 5) (pow (cbrt -1) 2)))))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (-.f64 (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (cbrt.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64)))) (neg.f64 x)) |
(* -1 (* x (- (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* 1/9 (cbrt (/ x (pow (cbrt -1) 5)))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 x (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 (/.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))) (*.f64 x (*.f64 x x))) (neg.f64 (-.f64 (cbrt.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* x (- (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (cbrt -1) 5)))) (* -5/81 (cbrt (/ (pow x 7) (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (-.f64 (-.f64 (cbrt.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.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) (cbrt.f64 (/.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) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (neg.f64 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 (cbrt.f64 (*.f64 x (cbrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1/3 (cbrt (/ 1 (* (pow x 5) (pow (cbrt -1) 2)))))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (cbrt.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 x x)))) (neg.f64 x)) |
(* -1 (* x (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* 1/9 (cbrt (/ x (pow (cbrt -1) 5)))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3)))))) |
(*.f64 x (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 (/.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))) (*.f64 x (*.f64 x x))) (neg.f64 (cbrt.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 x x)))))) |
(* -1 (* x (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (cbrt -1) 5)))) (* -5/81 (cbrt (/ (pow x 7) (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3)))))) |
(neg.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.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) (cbrt.f64 (/.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))) (neg.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 x x)) (*.f64 x (cbrt.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (*.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) |
(* -1 (* x (cbrt -1))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (cbrt -1) (/ 1 x)))) |
(fma.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 x) #s(literal 1 binary64)) |
(* -1 (* x (- (cbrt -1) (/ 1 x)))) |
(fma.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 x) #s(literal 1 binary64)) |
(* -1 (* x (- (cbrt -1) (/ 1 x)))) |
(fma.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 x) #s(literal 1 binary64)) |
(pow (* 1 (pow x 5)) 1/6) |
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64)) |
(pow (* 1 (pow x 5)) 1/6) |
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64)) |
(pow (* 1 (pow x 5)) 1/6) |
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64)) |
(pow (* 1 (pow x 5)) 1/6) |
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64)) |
(pow (* 1 (pow x 5)) 1/6) |
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64)) |
(pow (* 1 (pow x 5)) 1/6) |
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64)) |
(pow (* 1 (pow x 5)) 1/6) |
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64)) |
(pow (* 1 (pow x 5)) 1/6) |
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64)) |
(exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) |
(pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5 binary64))) #s(literal 1/6 binary64)) |
(exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) |
(pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5 binary64))) #s(literal 1/6 binary64)) |
(exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) |
(pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5 binary64))) #s(literal 1/6 binary64)) |
(exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) |
(pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5 binary64))) #s(literal 1/6 binary64)) |
| 1× | batch-egg-rewrite |
| 13 620× | lower-fma.f32 |
| 13 614× | lower-fma.f64 |
| 4 074× | lower-*.f32 |
| 4 070× | lower-*.f64 |
| 2 132× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 132 |
| 0 | 53 | 103 |
| 1 | 187 | 95 |
| 2 | 1162 | 95 |
| 0 | 8804 | 92 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #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 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
(cbrt.f64 x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) |
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
(cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) |
(sqrt.f64 x) |
(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)))) |
(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 (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)) |
(cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 5/6 binary64)) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))) |
(neg.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 (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) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(*.f64 (*.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 (log.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/3 binary64))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64)))) |
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) (pow.f64 x #s(literal 1/6 binary64))) |
(/.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (pow.f64 x #s(literal 2/3 binary64)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (neg.f64 (cbrt.f64 x))) |
(pow.f64 x #s(literal -2/3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) |
(pow.f64 (neg.f64 (cbrt.f64 x)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/6 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))) |
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(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) |
(neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (*.f64 (+.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 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) |
(*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 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 (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 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (neg.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) #s(literal 1 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) (*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (neg.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) |
(exp.f64 (*.f64 #s(literal 5/6 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 5/12 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 5/12 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 5/3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 5/12 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 5/12 binary64) (*.f64 (log.f64 x) #s(literal 5/12 binary64)))) |
(pow.f64 x #s(literal 5/6 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 5/12 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 5/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 5/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/12 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5/24 binary64)) |
(pow.f64 (exp.f64 #s(literal 5/6 binary64)) (log.f64 x)) |
(*.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 5/12 binary64))) |
(*.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 5/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 5/12 binary64)) (pow.f64 x #s(literal 5/12 binary64))) |
(*.f64 (pow.f64 x #s(literal 5/24 binary64)) (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 5/12 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/12 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 5/12 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5/12 binary64)) (pow.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal 5/12 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 5/12 binary64)) (pow.f64 (pow.f64 x #s(literal 11/6 binary64)) #s(literal 5/12 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 5/12 binary64)) (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal 5/12 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 5/6 binary64)) (pow.f64 x #s(literal 5/6 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5/6 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 5/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 5/6 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 5/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 5/6 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 5/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 5/6 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 5/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 5/6 binary64)) (pow.f64 (pow.f64 x #s(literal 11/12 binary64)) #s(literal 5/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 11/12 binary64)) #s(literal 5/6 binary64)) (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 5/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/12 binary64)) #s(literal 5/6 binary64)) (pow.f64 (pow.f64 x #s(literal 7/12 binary64)) #s(literal 5/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/12 binary64)) #s(literal 5/6 binary64)) (pow.f64 (pow.f64 x #s(literal 5/12 binary64)) #s(literal 5/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal 5/12 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 5/12 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal 5/12 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 5/12 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 11/6 binary64)) #s(literal 5/12 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 5/12 binary64))) |
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 5/24 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 5/3 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 5/3 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 5/12 binary64)) (pow.f64 x #s(literal 5/24 binary64))) (pow.f64 x #s(literal 5/24 binary64))) |
Compiled 29 281 to 3 147 computations (89.3% saved)
38 alts after pruning (36 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 608 | 30 | 1 638 |
| Fresh | 19 | 6 | 25 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 631 | 38 | 1 669 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 6.1% | (fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))) |
| 7.8% | (fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 7.8% | (fma.f64 (pow.f64 x #s(literal 1/12 binary64)) (neg.f64 (sqrt.f64 (sqrt.f64 x))) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 8.5% | (/.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)))))) | |
| 6.6% | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) | |
| 7.7% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| ✓ | 6.3% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 27.9% | #s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x))) | |
| 27.6% | #s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt 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))) | |
| 28.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (*.f64 x x))) | |
| 27.9% | #s(approx (- (cbrt (+ x 1)) (cbrt 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))) | |
| 27.6% | #s(approx (- (cbrt (+ x 1)) (cbrt 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))) | |
| 89.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))) | |
| 89.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) | |
| 89.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) | |
| 47.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)))) | |
| 89.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)))) | |
| ▶ | 96.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
| 96.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))) | |
| 89.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))) | |
| 96.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))) | |
| 86.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -1/3 binary64))))) | |
| 96.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))) | |
| 89.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/3 binary64))))) | |
| 52.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))))) | |
| 51.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))))) | |
| 52.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))))) | |
| 52.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))))) | |
| 52.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) | |
| 50.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))))) | |
| ✓ | 50.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
| 52.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) | |
| ▶ | 52.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))) |
| ▶ | 25.0% | #s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) |
| 26.3% | #s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.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)))) (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))))))))) | |
| 26.0% | #s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 x (fma.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) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) | |
| 25.0% | #s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) x) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) | |
| ▶ | 4.1% | #s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64)) |
Compiled 1 036 to 697 computations (32.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (pow.f64 x #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 64 | (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 6848 | (fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))) |
| ✓ | cost-diff | 0 | (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) |
| ✓ | cost-diff | 0 | #s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) |
| ✓ | 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 | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.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 | #s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (cbrt.f64 x) |
| ✓ | cost-diff | 0 | (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
| 116× | lower-*.f32 |
| 112× | lower-fma.f32 |
| 110× | lower-fma.f64 |
| 106× | lower-*.f64 |
| 44× | lower-+.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 181 |
| 0 | 55 | 172 |
| 1 | 77 | 164 |
| 2 | 99 | 154 |
| 3 | 119 | 154 |
| 4 | 131 | 154 |
| 5 | 149 | 154 |
| 6 | 187 | 154 |
| 7 | 211 | 154 |
| 8 | 238 | 154 |
| 9 | 258 | 154 |
| 10 | 270 | 154 |
| 0 | 270 | 154 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
#s(literal 1/3 binary64) |
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) |
(cbrt.f64 x) |
x |
#s(literal -2 binary64) |
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.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 |
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) |
(*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(*.f64 x #s(literal 1/3 binary64)) |
x |
#s(literal 1/3 binary64) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
#s(literal 1 binary64) |
(pow.f64 x #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))) |
(pow.f64 x #s(literal 1/6 binary64)) |
x |
#s(literal 1/6 binary64) |
(neg.f64 (pow.f64 x #s(literal 1/6 binary64))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 1/3 binary64) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
#s(literal 1/3 binary64) |
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) |
(cbrt.f64 x) |
x |
#s(literal -2 binary64) |
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.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 |
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) |
(*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(*.f64 x #s(literal 1/3 binary64)) |
x |
#s(literal 1/3 binary64) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
#s(literal 1 binary64) |
(pow.f64 x #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(pow.f64 x #s(literal 1/6 binary64)) |
x |
#s(literal 1/6 binary64) |
(neg.f64 (pow.f64 x #s(literal 1/6 binary64))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 1/3 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) |
| ✓ | accuracy | 93.6% | (pow.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 92.1% | (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 6.1% | (fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/3 binary64)) |
| ✓ | accuracy | 98.5% | #s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) |
| ✓ | accuracy | 68.8% | (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) |
| ✓ | accuracy | 59.4% | (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 98.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))) |
| ✓ | accuracy | 53.7% | (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 4.1% | #s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
| ✓ | accuracy | 99.2% | (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) |
| ✓ | accuracy | 99.2% | (cbrt.f64 x) |
| ✓ | accuracy | 98.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
| 90.0ms | 205× | 1 | valid |
| 55.0ms | 45× | 2 | valid |
| 1.0ms | 6× | 0 | valid |
Compiled 153 to 28 computations (81.7% saved)
ival-pow: 40.0ms (37.3% of total)ival-mult: 15.0ms (14% of total)const: 14.0ms (13.1% of total)adjust: 13.0ms (12.1% of total)ival-cbrt: 11.0ms (10.3% of total)ival-add: 6.0ms (5.6% of total)ival-div: 3.0ms (2.8% of total)ival-neg: 3.0ms (2.8% of total)ival-sub: 3.0ms (2.8% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))> |
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))> |
#<alt (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))> |
#<alt (cbrt.f64 x)> |
#<alt #s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))> |
#<alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.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 #s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))> |
#<alt (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))> |
#<alt (*.f64 x #s(literal 1/3 binary64))> |
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))> |
#<alt (fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)))> |
#<alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))> |
#<alt (pow.f64 x #s(literal 1/6 binary64))> |
#<alt (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))> |
| 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 (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))> |
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))> |
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))> |
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (+ 1 (* -1 (cbrt x)))> |
#<alt (+ 1 (+ (* -1 (cbrt x)) (* 1/3 x)))> |
#<alt (+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* -1/9 x)))))> |
#<alt (+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (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 (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 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))> |
#<alt (* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -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 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (- 1 (cbrt x))> |
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))> |
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))> |
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))> |
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 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 (* -1 (cbrt x)))> |
#<alt (+ 1 (+ (* -1 (cbrt x)) (* 1/3 x)))> |
#<alt (+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* -1/9 x)))))> |
#<alt (+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (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 (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 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))> |
#<alt (* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -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 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))> |
#<alt (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))> |
#<alt (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))> |
#<alt (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))> |
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))> |
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))> |
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))> |
#<alt (+ 1 (* -1 (cbrt x)))> |
#<alt (+ 1 (+ (* -1 (cbrt x)) (* 1/3 x)))> |
#<alt (+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* -1/9 x)))))> |
#<alt (+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (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 (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 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))> |
#<alt (* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -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 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -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 (+ 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 (pow (* 1 x) 1/6)> |
#<alt (pow (* 1 x) 1/6)> |
#<alt (pow (* 1 x) 1/6)> |
#<alt (pow (* 1 x) 1/6)> |
#<alt (pow (* 1 x) 1/6)> |
#<alt (pow (* 1 x) 1/6)> |
#<alt (pow (* 1 x) 1/6)> |
#<alt (pow (* 1 x) 1/6)> |
#<alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (* -1 (pow (* 1 x) 1/6))> |
#<alt (* -1 (pow (* 1 x) 1/6))> |
#<alt (* -1 (pow (* 1 x) 1/6))> |
#<alt (* -1 (pow (* 1 x) 1/6))> |
#<alt (* -1 (pow (* 1 x) 1/6))> |
#<alt (* -1 (pow (* 1 x) 1/6))> |
#<alt (* -1 (pow (* 1 x) 1/6))> |
#<alt (* -1 (pow (* 1 x) 1/6))> |
#<alt (* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))> |
#<alt (* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))> |
#<alt (* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))> |
#<alt (* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (cbrt (/ 1 (pow x 5))) |
| 1.0ms | x | @ | -inf | (* 1/3 (pow (cbrt x) -2)) |
| 1.0ms | x | @ | inf | (cbrt (/ 1 (pow x 5))) |
| 0.0ms | x | @ | -inf | (* (* x 1/3) (cbrt (/ 1 (pow x 5)))) |
| 0.0ms | x | @ | -inf | (+ (* (pow x 1/6) (neg (pow x 1/6))) (pow (+ x 1) 1/3)) |
| 1× | egg-herbie |
| 9 738× | lower-fma.f64 |
| 9 738× | lower-fma.f32 |
| 3 260× | lower--.f64 |
| 3 260× | lower--.f32 |
| 3 142× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 190 | 2548 |
| 1 | 504 | 2205 |
| 2 | 1657 | 2146 |
| 3 | 3800 | 2124 |
| 4 | 7804 | 2124 |
| 0 | 8793 | 2037 |
| 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)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(+ 1 (* -1 (cbrt x))) |
(+ 1 (+ (* -1 (cbrt x)) (* 1/3 x))) |
(+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* -1/9 x))))) |
(+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2)))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (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 (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 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -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 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (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 (* -1 (cbrt x))) |
(+ 1 (+ (* -1 (cbrt x)) (* 1/3 x))) |
(+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* -1/9 x))))) |
(+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2)))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (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 (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 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -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 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) |
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) |
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) |
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(+ 1 (* -1 (cbrt x))) |
(+ 1 (+ (* -1 (cbrt x)) (* 1/3 x))) |
(+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* -1/9 x))))) |
(+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2)))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (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 (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 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -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 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -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 (+ 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))))) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(* -1 (pow (* 1 x) 1/6)) |
(* -1 (pow (* 1 x) 1/6)) |
(* -1 (pow (* 1 x) 1/6)) |
(* -1 (pow (* 1 x) 1/6)) |
(* -1 (pow (* 1 x) 1/6)) |
(* -1 (pow (* 1 x) 1/6)) |
(* -1 (pow (* 1 x) 1/6)) |
(* -1 (pow (* 1 x) 1/6)) |
(* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) |
| Outputs |
|---|
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 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 (*.f64 x x)) x)) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (fma.f64 #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 (*.f64 x 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 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (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 (*.f64 (*.f64 x (*.f64 x x)) x)) (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 (*.f64 (*.f64 x (*.f64 x 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 16 binary64))) (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (*.f64 #s(literal 10/243 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 13 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 (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 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 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)))) |
(* 1/3 (* (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)))) |
(* 1/3 (* (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)))) |
(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))) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) |
(+ 1 (* -1 (cbrt x))) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(+ 1 (+ (* -1 (cbrt x)) (* 1/3 x))) |
(-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) (cbrt.f64 x))) |
(+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* -1/9 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 (+ (* -1 (cbrt x)) (* 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)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2)))))) |
#s(literal 0 binary64) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) |
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(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(neg.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(neg.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(neg.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(neg.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 #s(literal -1 binary64)))) |
(+ 1 (* -1 (cbrt x))) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(+ 1 (+ (* -1 (cbrt x)) (* 1/3 x))) |
(-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) (cbrt.f64 x))) |
(+ 1 (+ (* -1 (cbrt x)) (* x (+ 1/3 (* -1/9 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 (+ (* -1 (cbrt x)) (* 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)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2)))))) |
#s(literal 0 binary64) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (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)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1 (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)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) |
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
#s(literal 0 binary64) |
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -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 (fma.f64 #s(literal -1/3 binary64) (/.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/9 binary64) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 x (neg.f64 x))) |
(* -1 (* x (+ (* -1 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (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 |
#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 1/3 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 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)))) (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 x) (neg.f64 (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))))) |
(neg.f64 (*.f64 x (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/3 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(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 (*.f64 (*.f64 x (*.f64 x x)) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/9 binary64) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 x x)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (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)) (*.f64 x (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))))) |
(pow (* 1 x) 1/6) |
(pow.f64 x #s(literal 1/6 binary64)) |
(pow (* 1 x) 1/6) |
(pow.f64 x #s(literal 1/6 binary64)) |
(pow (* 1 x) 1/6) |
(pow.f64 x #s(literal 1/6 binary64)) |
(pow (* 1 x) 1/6) |
(pow.f64 x #s(literal 1/6 binary64)) |
(pow (* 1 x) 1/6) |
(pow.f64 x #s(literal 1/6 binary64)) |
(pow (* 1 x) 1/6) |
(pow.f64 x #s(literal 1/6 binary64)) |
(pow (* 1 x) 1/6) |
(pow.f64 x #s(literal 1/6 binary64)) |
(pow (* 1 x) 1/6) |
(pow.f64 x #s(literal 1/6 binary64)) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)) |
(* -1 (pow (* 1 x) 1/6)) |
(neg.f64 (pow.f64 x #s(literal 1/6 binary64))) |
(* -1 (pow (* 1 x) 1/6)) |
(neg.f64 (pow.f64 x #s(literal 1/6 binary64))) |
(* -1 (pow (* 1 x) 1/6)) |
(neg.f64 (pow.f64 x #s(literal 1/6 binary64))) |
(* -1 (pow (* 1 x) 1/6)) |
(neg.f64 (pow.f64 x #s(literal 1/6 binary64))) |
(* -1 (pow (* 1 x) 1/6)) |
(neg.f64 (pow.f64 x #s(literal 1/6 binary64))) |
(* -1 (pow (* 1 x) 1/6)) |
(neg.f64 (pow.f64 x #s(literal 1/6 binary64))) |
(* -1 (pow (* 1 x) 1/6)) |
(neg.f64 (pow.f64 x #s(literal 1/6 binary64))) |
(* -1 (pow (* 1 x) 1/6)) |
(neg.f64 (pow.f64 x #s(literal 1/6 binary64))) |
(* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64))) |
(* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64))) |
(* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64))) |
(* -1 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) |
(neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64))) |
| 1× | batch-egg-rewrite |
| 6 000× | lower-fma.f32 |
| 5 998× | lower-fma.f64 |
| 3 402× | lower-*.f32 |
| 3 394× | lower-*.f64 |
| 2 218× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 152 |
| 0 | 55 | 113 |
| 1 | 163 | 106 |
| 2 | 834 | 106 |
| 3 | 7980 | 106 |
| 0 | 8791 | 97 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) |
(cbrt.f64 x) |
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.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))) |
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) |
(*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(*.f64 x #s(literal 1/3 binary64)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 x #s(literal 1/6 binary64)) |
(neg.f64 (pow.f64 x #s(literal 1/6 binary64))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.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 5/3 binary64)) (*.f64 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 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 5/3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 5/3 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(/.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 -2/3 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 x #s(literal 5/3 binary64))) |
(/.f64 (*.f64 x #s(literal 1/3 binary64)) (neg.f64 (pow.f64 x #s(literal 5/3 binary64)))) |
(/.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/3 binary64)))) |
(/.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/3 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (cbrt.f64 x)) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1/3 binary64))) (neg.f64 (pow.f64 x #s(literal 5/3 binary64)))) |
(/.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64)))) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)) (cbrt.f64 x)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x)) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 5/3 binary64)))) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 5 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 x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 (pow.f64 x #s(literal 5/3 binary64)))) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1/3 binary64))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))))) |
(*.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/3 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/3 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 -2/3 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 x #s(literal -5/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -5/3 binary64)) (*.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 (pow.f64 x #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 x) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/3 binary64))))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/3 binary64))) x) |
(*.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 (pow.f64 x #s(literal -5/6 binary64)) (*.f64 (pow.f64 x #s(literal -5/6 binary64)) (*.f64 x #s(literal 1/3 binary64)))) |
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(/.f64 (pow.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (cbrt.f64 x) #s(literal 0 binary64)))) |
(pow.f64 x #s(literal 1/6 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/6 binary64)) (log.f64 x)) |
(*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (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)) (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64))) |
(*.f64 (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 #s(literal -1 binary64) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/12 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (neg.f64 (pow.f64 x #s(literal 1/12 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/24 binary64)) (*.f64 (pow.f64 x #s(literal 1/24 binary64)) (pow.f64 x #s(literal 1/12 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/24 binary64)) (*.f64 (pow.f64 x #s(literal 1/24 binary64)) (neg.f64 (pow.f64 x #s(literal 1/12 binary64))))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/3 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/12 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/24 binary64))) (pow.f64 x #s(literal 1/24 binary64))) |
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/24 binary64))) (pow.f64 x #s(literal 1/24 binary64))) |
Compiled 17 991 to 1 851 computations (89.7% saved)
52 alts after pruning (46 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 105 | 21 | 1 126 |
| Fresh | 6 | 25 | 31 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 112 | 52 | 1 164 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 6.1% | (fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))) |
| 7.8% | (fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 7.8% | (fma.f64 (pow.f64 x #s(literal 1/12 binary64)) (neg.f64 (sqrt.f64 (sqrt.f64 x))) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| ▶ | 8.5% | (/.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)))))) |
| 6.6% | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) | |
| 7.7% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| ✓ | 6.3% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 27.9% | #s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x))) | |
| 27.6% | #s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt 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))) | |
| 28.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x 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))) | |
| 27.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x 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))) | |
| 27.6% | #s(approx (- (cbrt (+ x 1)) (cbrt 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))) | |
| 40.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64)))) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))))) | |
| 25.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64)))))) | |
| 61.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/3 binary64))) (/.f64 #s(literal 1 binary64) x))) | |
| 89.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))) | |
| 89.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) | |
| ▶ | 89.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
| 61.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) (*.f64 x #s(literal 1/3 binary64)))) | |
| 40.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 x (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64)))) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64)))))) | |
| 96.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 x)) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64)))) | |
| 89.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))) | |
| 96.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) | |
| 47.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)))) | |
| 89.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)))) | |
| ✓ | 96.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
| ▶ | 96.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))) |
| 59.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 x (pow.f64 x #s(literal 5/3 binary64))))) | |
| 89.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))) | |
| 96.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))) | |
| 86.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -1/3 binary64))))) | |
| 61.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) x))) | |
| 96.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))) | |
| 89.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))))) | |
| ▶ | 52.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))))) |
| 51.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))))) | |
| 52.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))))) | |
| 52.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))))) | |
| ▶ | 52.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) |
| 50.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))))) | |
| ✓ | 50.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
| 52.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)))))) | |
| 52.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) | |
| ✓ | 52.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))) |
| 26.3% | #s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (pow (+ x 1) 1/3)) (*.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)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))) | |
| 26.0% | #s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (pow (+ x 1) 1/3)) (*.f64 x (fma.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) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) | |
| 25.0% | #s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) | |
| 46.7% | #s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 (*.f64 x x) #s(literal -5/6 binary64)))) | |
| 66.0% | #s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -5 binary64)))) | |
| 61.4% | #s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal -5/3 binary64))))) | |
| 25.3% | #s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal -5 binary64))))) | |
| ✓ | 4.1% | #s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64)) |
Compiled 1 325 to 881 computations (33.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 128 | (neg.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 128 | (/.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)))))) |
| ✓ | cost-diff | 384 | (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) |
| ✓ | cost-diff | 0 | (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)) |
| ✓ | cost-diff | 0 | (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))) |
| ✓ | cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))))) |
| ✓ | cost-diff | 0 | (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
| ✓ | cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) x) x) |
| ✓ | cost-diff | 0 | (pow.f64 x #s(literal -2/3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
| ✓ | cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (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)) |
| 22 624× | lower-fma.f32 |
| 22 622× | lower-fma.f64 |
| 2 520× | lower-+.f32 |
| 2 514× | lower-+.f64 |
| 2 188× | lower--.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 239 |
| 0 | 65 | 239 |
| 1 | 99 | 232 |
| 2 | 171 | 232 |
| 3 | 336 | 223 |
| 4 | 660 | 223 |
| 5 | 1148 | 223 |
| 6 | 1705 | 223 |
| 7 | 2657 | 223 |
| 8 | 4111 | 223 |
| 9 | 4798 | 223 |
| 10 | 5030 | 223 |
| 11 | 5263 | 223 |
| 12 | 7291 | 223 |
| 13 | 7781 | 223 |
| 0 | 8066 | 223 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt 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 (/.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 |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 x #s(literal -2/3 binary64)) |
x |
#s(literal -2/3 binary64) |
#s(literal 1/3 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
#s(literal 1/3 binary64) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #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 (sqrt.f64 x) #s(literal -4 binary64))) |
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64)) |
(sqrt.f64 x) |
x |
#s(literal -4 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 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) |
(neg.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(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 (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)))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) |
#s(literal 2/3 binary64) |
(+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))) |
(pow.f64 x #s(literal 2/3 binary64)) |
(cbrt.f64 (fma.f64 x x x)) |
(fma.f64 x x x) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (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 1/3 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 |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(pow.f64 x #s(literal -2/3 binary64)) |
x |
#s(literal -2/3 binary64) |
#s(literal 1/3 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(*.f64 #s(literal 1/3 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) x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #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 (sqrt.f64 x) #s(literal -4 binary64))) |
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64)) |
(sqrt.f64 x) |
x |
#s(literal -4 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 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 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) |
#s(literal -1 binary64) |
(neg.f64 (+.f64 x #s(literal 1 binary64))) |
(-.f64 #s(literal -1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(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 (neg.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 (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)))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) |
#s(literal 2/3 binary64) |
(+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))) |
(pow.f64 x #s(literal 2/3 binary64)) |
(cbrt.f64 (fma.f64 x x x)) |
(fma.f64 x x x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 90.7% | (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) |
| ✓ | accuracy | 90.7% | (pow.f64 x #s(literal 2/3 binary64)) |
| ✓ | accuracy | 52.3% | (cbrt.f64 (fma.f64 x x x)) |
| ✓ | accuracy | 7.7% | (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))) |
| ✓ | accuracy | 99.3% | (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)) |
| ✓ | accuracy | 98.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))))) |
| ✓ | accuracy | 53.7% | (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 #s(literal 1 binary64) x) x) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
| ✓ | accuracy | 98.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) |
| ✓ | accuracy | 53.7% | (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
| ✓ | accuracy | 99.4% | (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 98.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
| ✓ | accuracy | 90.7% | (pow.f64 x #s(literal -2/3 binary64)) |
| ✓ | accuracy | 99.5% | (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
| ✓ | accuracy | 99.2% | (cbrt.f64 x) |
| ✓ | accuracy | 98.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))) |
| 139.0ms | 205× | 1 | valid |
| 38.0ms | 45× | 2 | valid |
| 2.0ms | 6× | 0 | valid |
Compiled 214 to 38 computations (82.2% saved)
ival-pow: 36.0ms (24.8% of total)const: 19.0ms (13.1% of total)adjust: 19.0ms (13.1% of total)ival-div: 16.0ms (11% of total)ival-cbrt: 14.0ms (9.6% of total)ival-mult: 14.0ms (9.6% of total)ival-add: 13.0ms (8.9% of total)ival-neg: 4.0ms (2.8% of total)ival-sqrt: 4.0ms (2.8% of total)ival-sub: 3.0ms (2.1% of total)ival-fabs: 3.0ms (2.1% 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 (/.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 #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.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 #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))> |
#<alt (pow.f64 x #s(literal -2/3 binary64))> |
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) x)> |
#<alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))> |
#<alt (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))> |
#<alt (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))> |
#<alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))))> |
#<alt (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))))> |
#<alt (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))> |
#<alt (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))> |
#<alt (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x)> |
#<alt (/.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))))))> |
#<alt (neg.f64 (+.f64 x #s(literal 1 binary64)))> |
#<alt (+.f64 x #s(literal 1 binary64))> |
#<alt (cbrt.f64 x)> |
#<alt (cbrt.f64 (fma.f64 x x x))> |
#<alt (pow.f64 x #s(literal 2/3 binary64))> |
#<alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))> |
| Outputs |
|---|
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (* (cbrt (/ 1 (pow x 2))) (/ 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 (- 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 (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (cbrt (/ 1 x))> |
#<alt (- 1 (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 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (- 1 (cbrt x))> |
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))> |
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))> |
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))> |
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 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 (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 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<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 -1> |
#<alt -1> |
#<alt -1> |
#<alt -1> |
#<alt -1> |
#<alt -1> |
#<alt -1> |
#<alt -1> |
#<alt -1> |
#<alt -1> |
#<alt -1> |
#<alt -1> |
#<alt (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))> |
#<alt (+ (* -2/3 (/ x (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))))> |
#<alt (+ (* x (- (* x (+ (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 4/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3))))) (* 2/3 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))))> |
#<alt (+ (* x (- (* x (+ (* -1 (* x (+ (* 4/81 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (+ (* 2/27 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3))) (* 2/3 (/ (+ (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 4/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3)))) (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))))))) (+ (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 4/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3)))))) (* 2/3 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))))> |
#<alt (/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))))> |
#<alt (/ (+ (* -1/3 (* (/ 1 (* (pow x 3) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) x)> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4)))))) (pow x 6))) (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) (* 1/3 (* (/ 1 (* (pow x 3) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) x)> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1/3 (* (/ (+ (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4)))))) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 1/27 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 7))))) (* 5/81 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))))) (pow x 9))) (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) (+ (* -1/9 (* (/ 1 (* (pow x 6) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* -1/9 (* (/ 1 (* (pow x 6) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* 1/3 (* (/ 1 (* (pow x 3) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))) x)> |
#<alt (/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1))))))> |
#<alt (* -1 (/ (+ (* 1/3 (* (/ 1 (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1/9 (* (/ 1 (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* -1/9 (* (/ (cbrt -1) (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))))) (* 1/3 (* (/ 1 (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) (pow x 3))) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/3 (* (/ (+ (* -1/9 (* (/ 1 (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* -1/9 (* (/ (cbrt -1) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))))) (* (pow x 3) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 1/27 (* (/ (cbrt -1) (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 7))))) (* 5/81 (* (/ 1 (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))))) (+ (* -1/9 (* (/ 1 (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* -1/9 (* (/ (cbrt -1) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))))) (pow x 3))) (* 1/3 (* (/ 1 (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) (pow x 3))) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) x))> |
#<alt -1> |
#<alt (- (* -1 x) 1)> |
#<alt (- (* -1 x) 1)> |
#<alt (- (* -1 x) 1)> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (/ 1 x))))> |
#<alt (* -1 (* x (+ 1 (/ 1 x))))> |
#<alt (* -1 (* x (+ 1 (/ 1 x))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (/ 1 x))))> |
#<alt (* -1 (* x (+ 1 (/ 1 x))))> |
#<alt (* -1 (* x (+ 1 (/ 1 x))))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (cbrt (+ x (pow x 2)))> |
#<alt (cbrt (+ x (pow x 2)))> |
#<alt (cbrt (+ x (pow x 2)))> |
#<alt (cbrt (+ x (pow x 2)))> |
#<alt (* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt (* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt (* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt (* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))))> |
#<alt (cbrt (pow x 2))> |
#<alt (cbrt (pow x 2))> |
#<alt (cbrt (pow x 2))> |
#<alt (cbrt (pow x 2))> |
#<alt (cbrt (pow x 2))> |
#<alt (cbrt (pow x 2))> |
#<alt (cbrt (pow x 2))> |
#<alt (cbrt (pow x 2))> |
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))> |
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))> |
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))> |
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))> |
#<alt 1> |
#<alt (+ 1 (* 2/3 x))> |
#<alt (+ 1 (* x (+ 2/3 (* -1/9 x))))> |
#<alt (+ 1 (* x (+ 2/3 (* x (- (* 4/81 x) 1/9)))))> |
#<alt (* x (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))> |
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))> |
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))))> |
#<alt (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/81 (* (/ 1 (pow x 9)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))))> |
#<alt (* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* x (+ (* -1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (/ (cbrt -1) (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))))))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) |
| 5.0ms | x | @ | -inf | (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) |
| 2.0ms | x | @ | -inf | (* 1/3 (cbrt (pow (sqrt x) -4))) |
| 1.0ms | x | @ | 0 | (pow x -2/3) |
| 1.0ms | x | @ | 0 | (cbrt (+ (* x x) x)) |
| 1× | egg-herbie |
| 11 442× | lower-fma.f64 |
| 11 442× | lower-fma.f32 |
| 7 334× | lower-*.f64 |
| 7 334× | lower-*.f32 |
| 4 214× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 362 | 4709 |
| 1 | 969 | 4491 |
| 2 | 3016 | 4427 |
| 0 | 8926 | 4312 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(* (cbrt (/ 1 (pow x 2))) (/ 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)))) |
(- 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)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(- 1 (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)))) |
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(/ (+ (* -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 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
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(* 1/3 (cbrt (/ 1 (pow x 2)))) |
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(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
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(* 1/3 (cbrt (/ 1 (pow x 2)))) |
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(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))) |
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(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
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(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
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(/ (+ (* -1 (/ (+ (* -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)) |
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(* 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)) |
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(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -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)) |
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(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
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(* 1/3 (cbrt (/ 1 (pow x 2)))) |
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(* 1/3 (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))) |
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(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))) |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
(/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2))))) |
(+ (* -2/3 (/ x (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))) |
(+ (* x (- (* x (+ (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 4/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3))))) (* 2/3 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))) |
(+ (* x (- (* x (+ (* -1 (* x (+ (* 4/81 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (+ (* 2/27 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3))) (* 2/3 (/ (+ (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 4/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3)))) (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))))))) (+ (* 1/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))) (* 4/9 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 3)))))) (* 2/3 (/ 1 (pow (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))) 2))))) (/ 1 (+ 1 (+ (cbrt (+ x (pow x 2))) (cbrt (pow x 2)))))) |
(/ 1 (* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) |
(/ (+ (* -1/3 (* (/ 1 (* (pow x 3) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) x) |
(/ (- (+ (* -1 (/ (+ (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4)))))) (pow x 6))) (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) (* 1/3 (* (/ 1 (* (pow x 3) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) x) |
(/ (- (+ (* -1 (/ (+ (* -1/3 (* (/ (+ (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -1/9 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4)))))) (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x))))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 1/27 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 7))))) (* 5/81 (* (/ 1 (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))))) (pow x 9))) (/ 1 (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))))) (+ (* -1/9 (* (/ 1 (* (pow x 6) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* -1/9 (* (/ 1 (* (pow x 6) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* 1/3 (* (/ 1 (* (pow x 3) (pow (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (cbrt (/ 1 x)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))) x) |
(/ -1 (* x (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) |
(* -1 (/ (+ (* 1/3 (* (/ 1 (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/9 (* (/ 1 (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* -1/9 (* (/ (cbrt -1) (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))))) (* 1/3 (* (/ 1 (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) (pow x 3))) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/3 (* (/ (+ (* -1/9 (* (/ 1 (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* -1/9 (* (/ (cbrt -1) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5)))))) (* (pow x 3) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (+ (* 1/27 (* (/ (cbrt -1) (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 3))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 7))))) (* 5/81 (* (/ 1 (* (pow x 3) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2))) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))))) (+ (* -1/9 (* (/ 1 (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 4))))) (* -1/9 (* (/ (cbrt -1) (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))))) (pow x 3))) (* 1/3 (* (/ 1 (pow (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))) 2)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))) (pow x 3))) (/ 1 (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) (+ (* (cbrt -1) (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) (* (cbrt (/ 1 x)) (cbrt -1)))))) x)) |
-1 |
(- (* -1 x) 1) |
(- (* -1 x) 1) |
(- (* -1 x) 1) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(cbrt (+ x (pow x 2))) |
(cbrt (+ x (pow x 2))) |
(cbrt (+ x (pow x 2))) |
(cbrt (+ x (pow x 2))) |
(* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* x (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) |
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) |
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) |
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))))) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(* -1 (* (cbrt (pow x 2)) (cbrt -1))) |
(* -1 (* (cbrt (pow x 2)) (cbrt -1))) |
(* -1 (* (cbrt (pow x 2)) (cbrt -1))) |
(* -1 (* (cbrt (pow x 2)) (cbrt -1))) |
1 |
(+ 1 (* 2/3 x)) |
(+ 1 (* x (+ 2/3 (* -1/9 x)))) |
(+ 1 (* x (+ 2/3 (* x (- (* 4/81 x) 1/9))))) |
(* x (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))))) |
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))) |
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))) |
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/81 (* (/ 1 (pow x 9)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))))) |
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))) |
(* -1 (* x (+ (* -1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (/ (cbrt -1) (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))))) |
| Outputs |
|---|
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(* (cbrt (/ 1 (pow x 2))) (/ 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 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 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)))) |
(* 1/3 (* (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)))) |
(* 1/3 (* (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)))) |
(* 1/3 (* (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 (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 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.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 (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 (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 -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) (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)) |
(* 1/3 (* (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 #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 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 #s(literal -5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (*.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 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 (/.f64 #s(literal 10/243 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))) (cbrt.f64 (pow.f64 x #s(literal 13 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.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)) |
(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)) |
(- 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 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.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 (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 (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 -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) (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)) |
(* 1/3 (* (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 #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 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 #s(literal -5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (*.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 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 (/.f64 #s(literal 10/243 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))) (cbrt.f64 (pow.f64 x #s(literal 13 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(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))) |
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(*.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) (*.f64 x (*.f64 x x))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) |
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) (*.f64 x (*.f64 x x))) (fma.f64 #s(literal -1/9 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 5 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))))) |
(* x (+ (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/81 (* (/ 1 (pow x 9)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 8 binary64)))) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal -1/9 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 5 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))))) |
(* -1 (* (* x (cbrt -1)) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (neg.f64 (*.f64 x (cbrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (+ (* -1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))))) |
(neg.f64 (*.f64 x (fma.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) (*.f64 x (*.f64 x x))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (/ (cbrt -1) (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (/.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 5 binary64)))) (/.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))))) (*.f64 x (*.f64 x x))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt -1) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* -5/81 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8)))))) (pow x 3))) (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))) (pow x 3))) (* (cbrt -1) (cbrt (+ (/ 1 x) (* 2 (/ 1 (pow x 2))))))))) |
(neg.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))))) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 8 binary64)))) (/.f64 #s(literal -5/81 binary64) (*.f64 x (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 5 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1/9 binary64)))) (*.f64 x (*.f64 x x)))) (*.f64 x x))) (*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (*.f64 x (cbrt.f64 #s(literal -1 binary64)))))) |
| 1× | batch-egg-rewrite |
| 8 070× | lower-fma.f32 |
| 8 068× | lower-fma.f64 |
| 4 378× | lower-/.f32 |
| 4 368× | lower-/.f64 |
| 3 694× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 175 |
| 0 | 65 | 173 |
| 1 | 228 | 142 |
| 2 | 1441 | 142 |
| 0 | 8497 | 141 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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))) |
#s(approx (- (cbrt (+ x 1)) (cbrt 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)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 x #s(literal -2/3 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64)))) |
(cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))) |
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64)) |
(+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) |
(/.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)))))) |
(neg.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(cbrt.f64 x) |
(cbrt.f64 (fma.f64 x x x)) |
(pow.f64 x #s(literal 2/3 binary64)) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
(exp.f64 (neg.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal -4/3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1/3 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1/3 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1/3 binary64) (*.f64 (log.f64 x) #s(literal -1/3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1/3 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal -1/3 binary64)))) |
(exp.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal -1 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (log.f64 x)))) |
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (log.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cbrt.f64 x))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2/3 binary64)))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 x))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 x))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cbrt.f64 x)) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)))) |
(/.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 x)) |
(/.f64 (pow.f64 x #s(literal -1/3 binary64)) (neg.f64 (neg.f64 (cbrt.f64 x)))) |
(/.f64 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 x)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64)))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) (neg.f64 (cbrt.f64 x))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) (neg.f64 (neg.f64 (neg.f64 (cbrt.f64 x))))) |
(/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x))) |
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (neg.f64 (*.f64 x x)))) |
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) |
(/.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 (cbrt.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (cbrt.f64 x)))) |
(pow.f64 x #s(literal -2/3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.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 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64)) |
(pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (/.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -2/3 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #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 (pow.f64 x #s(literal -1/3 binary64))) (/.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1/3 binary64))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -2/3 binary64)) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -2/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 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 (pow.f64 (/.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/3 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/3 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 (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 #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 #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 -1/3 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 -1/6 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 #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 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cbrt.f64 x)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 x #s(literal -1/3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cbrt.f64 x)) (*.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) |
(/.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)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (neg.f64 (cbrt.f64 x))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 x #s(literal -1/3 binary64)))) (neg.f64 (cbrt.f64 x))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (neg.f64 (cbrt.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))) (neg.f64 (neg.f64 (cbrt.f64 x)))) |
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(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal -1/3 binary64)))) |
(exp.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(cbrt.f64 x) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(/.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (neg.f64 (cbrt.f64 x)) #s(literal -1 binary64)) |
(/.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 #s(literal -1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 1/3 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 #s(literal 1 binary64) x) #s(literal -1/3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64))) |
(*.f64 (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)) (cbrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64)))) |
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (fma.f64 x x x)))) |
(cbrt.f64 (fma.f64 x x x)) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 x x))))) (cbrt.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) (cbrt.f64 (*.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x))))) |
(/.f64 (cbrt.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (cbrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 x x)))))) |
(/.f64 (cbrt.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (cbrt.f64 (fma.f64 x x (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(/.f64 (cbrt.f64 (*.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x))) (cbrt.f64 (-.f64 (*.f64 x x) x))) |
(/.f64 (cbrt.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (cbrt.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 x x))))))) |
(/.f64 (cbrt.f64 (neg.f64 (*.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x)))) (cbrt.f64 (neg.f64 (-.f64 (*.f64 x x) x)))) |
(/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (cbrt.f64 (-.f64 x (*.f64 x x)))) |
(/.f64 (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) x)) (cbrt.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(/.f64 (cbrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (cbrt.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (cbrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 x x))))))) |
(/.f64 (neg.f64 (cbrt.f64 (*.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x)))) (neg.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)))) |
(pow.f64 (fma.f64 x x x) #s(literal 1/3 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 x x x)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1/6 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(*.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 x x))))) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 x x))))))) |
(*.f64 (cbrt.f64 (*.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (*.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))) |
(*.f64 (pow.f64 (fma.f64 x x x) #s(literal 1/6 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x x x)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x x) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x x) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x x))) (cbrt.f64 (pow.f64 (fma.f64 x x x) #s(literal 2/3 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) #s(literal 2/3 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 x x x)))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (fma.f64 x x x) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/3 binary64))) |
(exp.f64 (neg.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x)))) |
(exp.f64 (neg.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)))) |
(exp.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x))))) |
(exp.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) (*.f64 (log.f64 x) #s(literal -1/3 binary64)))) |
(exp.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal -1/3 binary64)))) (/.f64 (cbrt.f64 x) (neg.f64 (pow.f64 x #s(literal -1/3 binary64))))) |
(cbrt.f64 (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64))) |
(/.f64 (cbrt.f64 x) (pow.f64 x #s(literal -1/3 binary64))) |
(/.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 (neg.f64 (cbrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 x #s(literal -1/3 binary64))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64)) |
(pow.f64 x #s(literal 2/3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/3 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 4/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(pow.f64 (neg.f64 (cbrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (log.f64 x)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(*.f64 (cbrt.f64 x) (cbrt.f64 x)) |
(*.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 #s(literal -1 binary64) (/.f64 (cbrt.f64 x) (neg.f64 (pow.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 x) #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 x) #s(literal -1 binary64)) (/.f64 (cbrt.f64 x) #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 (cbrt.f64 x) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 2/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (neg.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4/3 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4/3 binary64))) (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64)))) |
(*.f64 (cbrt.f64 (/.f64 x #s(literal -1 binary64))) (cbrt.f64 (neg.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 x) (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 1/6 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal -1/3 binary64))) (/.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.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 -1/3 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)))) |
(exp.f64 (*.f64 #s(literal 2/3 binary64) (log1p.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log1p.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))) |
(cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) |
(pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2/3 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (log1p.f64 x)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))) |
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 2/3 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #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 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64))) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) |
Compiled 30 642 to 3 290 computations (89.3% saved)
63 alts after pruning (53 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 385 | 23 | 1 408 |
| Fresh | 11 | 30 | 41 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 397 | 63 | 1 460 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 6.1% | (fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))) |
| 7.8% | (fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 7.8% | (fma.f64 (pow.f64 x #s(literal 1/12 binary64)) (neg.f64 (sqrt.f64 (sqrt.f64 x))) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 5.4% | (/.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)) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 x x))))) #s(literal 1/3 binary64))))))) | |
| 8.6% | (/.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 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (fma.f64 x x x)))))) | |
| 8.5% | (/.f64 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (log1p.f64 x))) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))) | |
| 8.5% | (/.f64 (*.f64 (*.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 (-.f64 #s(literal -1 binary64) x) x)) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))) (-.f64 (-.f64 #s(literal -1 binary64) x) x)) | |
| 49.2% | (/.f64 #s(approx (+ (neg (+ x 1)) x) #s(literal -1 binary64)) (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)))))) | |
| 6.6% | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) | |
| 7.7% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| ✓ | 6.3% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 49.8% | #s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))))) x)) | |
| 98.4% | #s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))))))) | |
| 27.6% | #s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt 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))) | |
| 27.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x 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))) | |
| 27.6% | #s(approx (- (cbrt (+ x 1)) (cbrt 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))) | |
| 40.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64)))) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))))) | |
| 25.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64)))))) | |
| 61.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/3 binary64))) (/.f64 #s(literal 1 binary64) x))) | |
| 89.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))) | |
| 89.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) | |
| 89.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) | |
| 89.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) | |
| 47.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) | |
| 89.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64))) | |
| ✓ | 89.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
| 61.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) (*.f64 x #s(literal 1/3 binary64)))) | |
| 50.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 (neg.f64 x) x))) #s(literal 1/3 binary64))) | |
| 89.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) | |
| 96.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x))) #s(literal 1/3 binary64))) | |
| 96.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) | |
| 89.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))) | |
| 96.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 x)) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64)))) | |
| 96.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) | |
| ✓ | 96.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
| 96.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) (cbrt.f64 x)))) | |
| 96.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))))) | |
| ✓ | 96.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))) |
| 96.4% | #s(approx (- (cbrt (+ x 1)) (cbrt 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)))) | |
| 96.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)))) | |
| 59.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 x (pow.f64 x #s(literal 5/3 binary64))))) | |
| 96.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))) | |
| 86.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -1/3 binary64))))) | |
| 61.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) x))) | |
| 96.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))) | |
| ✓ | 52.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))))) |
| 51.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))))) | |
| 52.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))))) | |
| 52.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))))) | |
| ✓ | 52.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) |
| 50.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))))) | |
| 50.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))) | |
| ✓ | 50.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
| 52.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))))) | |
| 52.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))))) | |
| 52.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) | |
| ✓ | 52.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))) |
| 25.0% | #s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) | |
| 46.7% | #s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 (*.f64 x x) #s(literal -5/6 binary64)))) | |
| 66.0% | #s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -5 binary64)))) | |
| 61.4% | #s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal -5/3 binary64))))) | |
| 25.3% | #s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal -5 binary64))))) | |
| ✓ | 4.1% | #s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64)) |
Compiled 2 476 to 980 computations (60.4% saved)
| Inputs |
|---|
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) (*.f64 x #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 (*.f64 x x) #s(literal -5/6 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 x (pow.f64 x #s(literal 5/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/3 binary64))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))) |
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal -5 binary64))))) |
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -5 binary64)))) |
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal -5/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 (neg.f64 x) x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))) |
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.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 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) |
(fma.f64 (pow.f64 x #s(literal 1/12 binary64)) (neg.f64 (sqrt.f64 (sqrt.f64 x))) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))) |
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt 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))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 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 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 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)))) |
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))) |
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))) |
(/.f64 #s(approx (+ (neg (+ x 1)) x) #s(literal -1 binary64)) (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 (+.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 (+.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 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (fma.f64 x x x)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) (cbrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt 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)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt 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))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x 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 x (-.f64 #s(literal -1 binary64) x)) (-.f64 (-.f64 #s(literal -1 binary64) x) x)) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))) (-.f64 (-.f64 #s(literal -1 binary64) x) x)) |
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))))))) |
(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x)) |
(-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x)) |
(-.f64 (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)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -1/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 x)) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 x (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64)))) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64)))) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))))) |
(-.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)) |
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) x) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) |
(-.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 (+.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) (log1p.f64 x))) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))) |
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 x (fma.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) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) |
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (pow (+ x 1) 1/3)) (*.f64 x (fma.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) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) |
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x))) |
(-.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 x))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)))))) |
(/.f64 (+.f64 (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)) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 x x))))) #s(literal 1/3 binary64))))))) |
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)))) (cbrt.f64 x)) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) (neg.f64 (cbrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x 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))) |
(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))))) |
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.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)))) (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))))))))) |
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (pow (+ x 1) 1/3)) (*.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)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))) |
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))))) x)) |
| Outputs |
|---|
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))))))) |
2 calls:
| 28.0ms | x |
| 21.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | x |
| 98.4% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) (*.f64 x #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 (*.f64 x x) #s(literal -5/6 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 x (pow.f64 x #s(literal 5/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/3 binary64))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))) |
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal -5 binary64))))) |
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -5 binary64)))) |
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal -5/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 (neg.f64 x) x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)))) |
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.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 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) |
(fma.f64 (pow.f64 x #s(literal 1/12 binary64)) (neg.f64 (sqrt.f64 (sqrt.f64 x))) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))))) |
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt 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))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 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 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 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)))) |
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))) |
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))) |
(/.f64 #s(approx (+ (neg (+ x 1)) x) #s(literal -1 binary64)) (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 (+.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 (+.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 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (fma.f64 x x x)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) (cbrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt 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)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt 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))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x 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 x (-.f64 #s(literal -1 binary64) x)) (-.f64 (-.f64 #s(literal -1 binary64) x) x)) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x)))))) (-.f64 (-.f64 #s(literal -1 binary64) x) x)) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
2 calls:
| 21.0ms | x |
| 19.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 1 | x |
| 96.9% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) (*.f64 x #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 (*.f64 x x) #s(literal -5/6 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 x (pow.f64 x #s(literal 5/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/3 binary64))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))) |
2 calls:
| 9.0ms | x |
| 8.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.3% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 92.5% | 2 | x |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) (*.f64 x #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 (*.f64 x x) #s(literal -5/6 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 x (pow.f64 x #s(literal 5/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -5/3 binary64))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.5% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) (*.f64 x #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 (*.f64 x x) #s(literal -5/6 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 x (pow.f64 x #s(literal 5/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
1 calls:
| 17.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.5% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) (*.f64 x #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 (*.f64 x x) #s(literal -5/6 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 x (pow.f64 x #s(literal 5/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))) |
2 calls:
| 6.0ms | x |
| 5.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.3% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 89.3% | 1 | x |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) (*.f64 x #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 (*.f64 x x) #s(literal -5/6 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 x (pow.f64 x #s(literal 5/3 binary64))))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
2 calls:
| 6.0ms | x |
| 4.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.3% | 1 | x |
| 89.3% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -5/3 binary64)) (*.f64 x #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 (*.f64 x x) #s(literal -5/6 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
2 calls:
| 4.0ms | x |
| 3.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.3% | 1 | x |
| 89.3% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 10 to 7 computations (30% saved)
Total -1.5b remaining (-2.4%)
Threshold costs -1.5b (-2.4%)
| Inputs |
|---|
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
| Outputs |
|---|
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.1% | 1 | x |
| 4.1% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 10 to 7 computations (30% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 1.042241724507132e+152 | 6.338446213858047e+155 |
| 12.0ms | 128× | 1 | valid |
Compiled 211 to 154 computations (27% saved)
ival-cbrt: 4.0ms (45.3% of total)adjust: 2.0ms (22.6% of total)ival-add: 1.0ms (11.3% of total)ival-sub: 1.0ms (11.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.042241724507132e+152 | 6.338446213858047e+155 |
| 8.0ms | 96× | 1 | valid |
Compiled 179 to 138 computations (22.9% saved)
ival-cbrt: 2.0ms (34.8% of total)adjust: 1.0ms (17.4% of total)ival-add: 1.0ms (17.4% of total)ival-sub: 1.0ms (17.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.042241724507132e+152 | 6.338446213858047e+155 |
Compiled 163 to 122 computations (25.2% saved)
| 1× | egg-herbie |
| 16× | *-commutative_binary64 |
| 8× | +-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 4294967474 |
| 1 | 93 | 4294967474 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(if (<=.f64 x #s(literal 190000000000000002554336558658854307251328941103111221517760272427978167158121388581265962915685917305365907734694073873647470314742497455613285250308767744 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))))))) |
#s(approx (/ (+ (neg (+ x 1)) x) (neg (+ (pow (+ x 1) 2/3) (+ (pow x 2/3) (cbrt (+ (* x x) x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(if (<=.f64 x #s(literal 190000000000000002554336558658854307251328941103111221517760272427978167158121388581265962915685917305365907734694073873647470314742497455613285250308767744 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))) |
#s(approx (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (+ x 1))) #s(literal 0 binary64)) |
| 13 620× | lower-fma.f32 |
| 13 614× | lower-fma.f64 |
| 11 442× | lower-fma.f64 |
| 11 442× | lower-fma.f32 |
| 9 808× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 316 | 3038 |
| 1 | 839 | 2812 |
| 2 | 2930 | 2765 |
| 3 | 7715 | 2749 |
| 0 | 8375 | 2611 |
| 0 | 6 | 16 |
| 0 | 10 | 16 |
| 1 | 43 | 16 |
| 2 | 282 | 16 |
| 3 | 3101 | 16 |
| 0 | 9092 | 16 |
| 0 | 30 | 132 |
| 0 | 53 | 103 |
| 1 | 187 | 95 |
| 2 | 1162 | 95 |
| 0 | 8804 | 92 |
| 0 | 146 | 602 |
| 1 | 350 | 564 |
| 2 | 900 | 564 |
| 3 | 2613 | 561 |
| 4 | 5976 | 561 |
| 0 | 8122 | 528 |
| 0 | 362 | 4709 |
| 1 | 969 | 4491 |
| 2 | 3016 | 4427 |
| 0 | 8926 | 4312 |
| 0 | 36 | 152 |
| 0 | 55 | 113 |
| 1 | 163 | 106 |
| 2 | 834 | 106 |
| 3 | 7980 | 106 |
| 0 | 8791 | 97 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 329 to 194 computations (41% saved)
Compiled 324 to 132 computations (59.3% saved)
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