
Time bar (total: 9.1s)
| 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)
| 920.0ms | 6 345× | 1 | valid |
| 283.0ms | 1 671× | 2 | valid |
| 20.0ms | 240× | 0 | valid |
ival-cbrt: 257.0ms (29.6% of total)ival-add: 149.0ms (17.1% of total)const: 147.0ms (16.9% of total)adjust: 142.0ms (16.3% of total)ival-sub: 82.0ms (9.4% of total)ival->: 39.0ms (4.5% of total)ival-<: 19.0ms (2.2% of total)ival-and: 17.0ms (2% of total)exact: 11.0ms (1.3% of total)ival-assert: 5.0ms (0.6% 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 |
|---|---|---|---|---|---|
| 254 | 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 | 254 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 254 | 1 |
| - | 0 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 254 | 1 | 0 |
| - | 0 | 0 | 1 |
| number | freq |
|---|---|
| 0 | 2 |
| 1 | 254 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 37.0ms | 384× | 1 | valid |
| 17.0ms | 106× | 2 | valid |
| 1.0ms | 22× | 0 | valid |
Compiled 56 to 28 computations (50% saved)
ival-cbrt: 17.0ms (46.8% of total)adjust: 8.0ms (22% of total)ival-add: 6.0ms (16.5% of total)ival-sub: 5.0ms (13.8% of total)exact: 1.0ms (2.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 8.2% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cbrt.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 80× | lower-fma.f64 |
| 80× | lower-fma.f32 |
| 48× | lower-*.f64 |
| 48× | lower-*.f32 |
| 36× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 10 | 18 |
| 1 | 15 | 18 |
| 2 | 19 | 18 |
| 3 | 25 | 18 |
| 4 | 33 | 18 |
| 5 | 48 | 18 |
| 6 | 80 | 18 |
| 7 | 106 | 18 |
| 8 | 150 | 18 |
| 9 | 165 | 18 |
| 10 | 173 | 18 |
| 0 | 173 | 18 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(cbrt.f64 x) |
| Outputs |
|---|
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(cbrt.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 99.1% | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 99.1% | (cbrt.f64 x) |
| ✓ | accuracy | 8.3% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 21.0ms | 192× | 1 | valid |
| 7.0ms | 53× | 2 | valid |
| 0.0ms | 11× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-cbrt: 10.0ms (50.2% of total)adjust: 4.0ms (20.1% of total)ival-add: 3.0ms (15% of total)ival-sub: 2.0ms (10% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 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 | |
|---|---|---|---|---|
| 8.0ms | x | @ | -inf | (- (cbrt (+ x 1)) (cbrt x)) |
| 3.0ms | x | @ | inf | (- (cbrt (+ x 1)) (cbrt x)) |
| 1.0ms | x | @ | 0 | (cbrt x) |
| 1.0ms | x | @ | -inf | (cbrt x) |
| 1.0ms | x | @ | inf | (cbrt x) |
| 1× | 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 8 179 to 1 301 computations (84.1% saved)
32 alts after pruning (31 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 372 | 31 | 403 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 372 | 32 | 404 |
| Status | Accuracy | Program |
|---|---|---|
| 7.9% | (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))))) | |
| ▶ | 5.8% | (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))) |
| 8.2% | (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))) | |
| 9.0% | (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)))) | |
| 7.3% | (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))))))) | |
| 10.8% | (/.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)))))) | |
| 5.7% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) | |
| 6.8% | (-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x)) | |
| 8.9% | (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) (cbrt.f64 x)) | |
| ▶ | 8.0% | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
| 9.1% | (-.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)) | |
| 6.5% | (-.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 x))) (cbrt.f64 x)) | |
| 9.1% | (-.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)) | |
| 7.9% | (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| 7.3% | (-.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)) | |
| ▶ | 8.3% | (-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x)) |
| 8.2% | (-.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)) | |
| 9.0% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) | |
| 9.0% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) | |
| 8.1% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) | |
| 9.0% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| 8.3% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)))) | |
| ✓ | 8.2% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 7.4% | (-.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)))) | |
| 24.9% | #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))) | |
| 7.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (/.f64 #s(literal 10/243 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 x x))) | |
| 24.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x))) | |
| 24.0% | #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))) | |
| ▶ | 49.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
Compiled 1 032 to 644 computations (37.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x)) |
| ✓ | cost-diff | 6272 | (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) |
| ✓ | cost-diff | 6592 | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 6592 | (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) |
| ✓ | cost-diff | 0 | (neg.f64 (cbrt.f64 x)) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 13632 | (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))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
| ✓ | cost-diff | 6592 | (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (cbrt.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 1 372× | div-sub |
| 600× | lower-fma.f32 |
| 598× | lower-fma.f64 |
| 548× | lower-*.f32 |
| 544× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 149 |
| 0 | 49 | 125 |
| 1 | 69 | 125 |
| 2 | 83 | 125 |
| 3 | 121 | 125 |
| 4 | 183 | 125 |
| 5 | 280 | 125 |
| 6 | 440 | 125 |
| 7 | 878 | 125 |
| 8 | 1106 | 125 |
| 9 | 1686 | 125 |
| 10 | 1925 | 125 |
| 11 | 1976 | 125 |
| 12 | 2135 | 125 |
| 13 | 2351 | 125 |
| 14 | 2843 | 125 |
| 15 | 3120 | 125 |
| 16 | 3124 | 125 |
| 17 | 3124 | 125 |
| 18 | 3128 | 125 |
| 19 | 3148 | 125 |
| 20 | 3156 | 125 |
| 21 | 3156 | 125 |
| 22 | 3156 | 125 |
| 0 | 3156 | 125 |
| 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 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
#s(literal 1 binary64) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(cbrt.f64 x) |
(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))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(literal 1/6 binary64) |
(neg.f64 (cbrt.f64 x)) |
(cbrt.f64 x) |
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x)) |
(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) |
(pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(literal 3 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(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 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 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(cbrt.f64 x) |
(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))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(literal 1/6 binary64) |
(neg.f64 (cbrt.f64 x)) |
(cbrt.f64 x) |
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(cbrt.f64 x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.1% | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 99.1% | (cbrt.f64 x) |
| ✓ | accuracy | 98.9% | (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) |
| ✓ | accuracy | 8.3% | (-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x)) |
| ✓ | accuracy | 100.0% | (neg.f64 (cbrt.f64 x)) |
| ✓ | accuracy | 99.1% | (cbrt.f64 x) |
| ✓ | accuracy | 93.6% | (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 7.6% | (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))) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
| ✓ | accuracy | 99.1% | (cbrt.f64 x) |
| ✓ | accuracy | 99.0% | (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
| ✓ | accuracy | 8.3% | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
| ✓ | accuracy | 99.1% | (cbrt.f64 x) |
| ✓ | accuracy | 8.3% | (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.5% | (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 53.2% | (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 100.0ms | 192× | 1 | valid |
| 50.0ms | 53× | 2 | valid |
| 2.0ms | 10× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 152 to 26 computations (82.9% saved)
ival-pow: 33.0ms (26.7% of total)ival-cbrt: 23.0ms (18.6% of total)adjust: 16.0ms (12.9% of total)const: 14.0ms (11.3% of total)ival-div: 13.0ms (10.5% of total)ival-mult: 8.0ms (6.5% of total)ival-sub: 7.0ms (5.7% of total)ival-add: 6.0ms (4.9% of total)ival-neg: 2.0ms (1.6% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))> |
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x x))> |
#<alt (*.f64 x x)> |
#<alt (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))> |
#<alt (cbrt.f64 x)> |
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))> |
#<alt (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))> |
#<alt (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x))> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))> |
#<alt (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)))> |
#<alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))> |
#<alt (+.f64 x #s(literal 1 binary64))> |
#<alt (neg.f64 (cbrt.f64 x))> |
#<alt (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))> |
#<alt (cbrt.f64 (+.f64 x #s(literal 1 binary64)))> |
#<alt (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))> |
#<alt (-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x))> |
| Outputs |
|---|
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (- 1 (cbrt x))> |
#<alt (- (+ 1 (* 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 x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt 1> |
#<alt (+ 1 (* -1/3 x))> |
#<alt (+ 1 (* x (- (* 2/9 x) 1/3)))> |
#<alt (+ 1 (* x (- (* x (+ 2/9 (* -14/81 x))) 1/3)))> |
#<alt (cbrt (- (/ 1 x) (/ 1 (pow x 2))))> |
#<alt (+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))))> |
#<alt (+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (+ (* -1/3 (* (/ 1 (pow x 4)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))))> |
#<alt (+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (+ (* -1/3 (* (/ 1 (pow x 4)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (+ (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (pow x 5)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))))))> |
#<alt (cbrt (- (/ 1 x) (/ 1 (pow x 2))))> |
#<alt (+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))))> |
#<alt (+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* -1/3 (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))) (* 1/3 (* (/ 1 x) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))) (pow x 3))))> |
#<alt (+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))) (* 1/3 (* (/ 1 x) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))) x)) (* -1/3 (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (pow x 3))))> |
#<alt 1> |
#<alt (+ 1 (* 1/3 x))> |
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))> |
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))> |
#<alt (cbrt x)> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (- 1 (cbrt x))> |
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))> |
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))> |
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))> |
#<alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))> |
#<alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- x 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))> |
#<alt (/ 1 x)> |
#<alt (/ (- 1 (/ 1 x)) x)> |
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)> |
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (/ 1 x) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))> |
#<alt (- 1 (cbrt x))> |
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))> |
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))> |
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))> |
#<alt (* 1/3 (* (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 (* 1/6 x))> |
#<alt (+ 1 (* x (+ 1/6 (* -5/72 x))))> |
#<alt (+ 1 (* x (+ 1/6 (* x (- (* 55/1296 x) 5/72)))))> |
#<alt (pow (* 1 x) 1/6)> |
#<alt (+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (pow (* 1 x) 1/6))> |
#<alt (+ (* -5/72 (pow (/ 1 (pow x 11)) 1/6)) (+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (pow (* 1 x) 1/6)))> |
#<alt (+ (* -5/72 (pow (/ 1 (pow x 11)) 1/6)) (+ (* 55/1296 (pow (/ 1 (pow x 17)) 1/6)) (+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (pow (* 1 x) 1/6))))> |
#<alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (+ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/6 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))> |
#<alt (+ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/6 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 5/72 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)))> |
#<alt (+ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -5/72 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 55/1296 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -1/6 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* -1 (cbrt x))> |
#<alt (* -1 (cbrt x))> |
#<alt (* -1 (cbrt x))> |
#<alt (* -1 (cbrt x))> |
#<alt (* -1 (cbrt x))> |
#<alt (* -1 (cbrt x))> |
#<alt (* -1 (cbrt x))> |
#<alt (* -1 (cbrt x))> |
#<alt (* (cbrt x) (cbrt -1))> |
#<alt (* (cbrt x) (cbrt -1))> |
#<alt (* (cbrt x) (cbrt -1))> |
#<alt (* (cbrt x) (cbrt -1))> |
#<alt 1> |
#<alt (+ 1 (* 1/3 x))> |
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))> |
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))> |
#<alt (cbrt x)> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/3 x))> |
#<alt (+ 1 (* x (+ 1/3 (* -1/9 x))))> |
#<alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))> |
#<alt (cbrt x)> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))> |
#<alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (- 1 (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))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (+ (* (pow (+ x 1) 1/6) (pow (+ x 1) 1/6)) (neg (cbrt x))) |
| 2.0ms | x | @ | 0 | (* 1/3 (cbrt (/ 1 (* x x)))) |
| 1.0ms | x | @ | inf | (* 1/3 (cbrt (/ 1 (* x x)))) |
| 1.0ms | x | @ | inf | (cbrt (/ 1 (+ x 1))) |
| 1.0ms | x | @ | -inf | (cbrt (/ 1 (+ x 1))) |
| 1× | egg-herbie |
| 8 440× | lower-fma.f64 |
| 8 440× | lower-fma.f32 |
| 4 472× | lower-*.f64 |
| 4 472× | lower-*.f32 |
| 3 572× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 276 | 3003 |
| 1 | 681 | 2733 |
| 2 | 1992 | 2707 |
| 3 | 4436 | 2621 |
| 0 | 8344 | 2478 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(- 1 (cbrt x)) |
(- (+ 1 (* 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 x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
1 |
(+ 1 (* -1/3 x)) |
(+ 1 (* x (- (* 2/9 x) 1/3))) |
(+ 1 (* x (- (* x (+ 2/9 (* -14/81 x))) 1/3))) |
(cbrt (- (/ 1 x) (/ 1 (pow x 2)))) |
(+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))) |
(+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (+ (* -1/3 (* (/ 1 (pow x 4)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))))) |
(+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (+ (* -1/3 (* (/ 1 (pow x 4)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (+ (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (pow x 5)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))))) |
(cbrt (- (/ 1 x) (/ 1 (pow x 2)))) |
(+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))) |
(+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* -1/3 (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))) (* 1/3 (* (/ 1 x) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))) (pow x 3)))) |
(+ (cbrt (- (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))) (* 1/3 (* (/ 1 x) (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2)))))) x)) (* -1/3 (cbrt (/ 1 (pow (- (/ 1 x) (/ 1 (pow x 2))) 2))))) (pow x 3)))) |
1 |
(+ 1 (* 1/3 x)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(cbrt x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(/ 1 x) |
(/ (- 1 (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(/ 1 x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(* 1/3 (* (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 (* 1/6 x)) |
(+ 1 (* x (+ 1/6 (* -5/72 x)))) |
(+ 1 (* x (+ 1/6 (* x (- (* 55/1296 x) 5/72))))) |
(pow (* 1 x) 1/6) |
(+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (pow (* 1 x) 1/6)) |
(+ (* -5/72 (pow (/ 1 (pow x 11)) 1/6)) (+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (pow (* 1 x) 1/6))) |
(+ (* -5/72 (pow (/ 1 (pow x 11)) 1/6)) (+ (* 55/1296 (pow (/ 1 (pow x 17)) 1/6)) (+ (* 1/6 (pow (/ 1 (pow x 5)) 1/6)) (pow (* 1 x) 1/6)))) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(+ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/6 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) |
(+ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/6 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 5/72 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))) |
(+ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -5/72 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 55/1296 (/ (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -1/6 (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))))) x))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
1 |
(+ 1 (* 1/3 x)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(cbrt x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
1 |
(+ 1 (* 1/3 x)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(cbrt x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(- 1 (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)) |
| Outputs |
|---|
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
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(cbrt.f64 x) |
(cbrt x) |
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(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
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(cbrt x) |
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1 |
#s(literal 1 binary64) |
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1 |
#s(literal 1 binary64) |
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(cbrt x) |
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(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(fma.f64 x (fma.f64 x #s(literal -1/9 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
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(* 1/3 (cbrt (/ 1 (pow x 2)))) |
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(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 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) (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 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(neg.f64 (fma.f64 x (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #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 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 5/81 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (cbrt.f64 #s(literal -1 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(fma.f64 x (fma.f64 x #s(literal -1/9 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/81 binary64) #s(literal -1/9 binary64)) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))))) (*.f64 x x)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 5/81 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (fma.f64 (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× | batch-egg-rewrite |
| 8 930× | lower-fma.f32 |
| 8 928× | lower-fma.f64 |
| 3 734× | lower-*.f32 |
| 3 730× | lower-*.f64 |
| 1 450× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 113 |
| 0 | 47 | 88 |
| 1 | 166 | 82 |
| 2 | 1043 | 82 |
| 0 | 9210 | 78 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(cbrt.f64 x) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 x))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
(neg.f64 (cbrt.f64 x)) |
(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) |
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x)) |
| Outputs |
|---|
(neg.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.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) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (pow.f64 x #s(literal -1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(neg.f64 (pow.f64 x #s(literal -2/3 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (cbrt.f64 x)) |
(pow.f64 x #s(literal -2/3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/3 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/3 binary64))) (pow.f64 x #s(literal -1/3 binary64))) |
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(pow.f64 x #s(literal -2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -6 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 x))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 2/3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/2 binary64)))) |
(exp.f64 (log.f64 (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal 3 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 x x)) |
(-.f64 #s(literal 0 binary64) (*.f64 x x)) |
(neg.f64 (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(/.f64 x (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 (*.f64 x x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) #s(literal -1 binary64)) |
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) |
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (pow.f64 x #s(literal 4/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (/.f64 (cbrt.f64 x) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 x (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 x)) |
(+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
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(/.f64 (-.f64 (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (pow.f64 x #s(literal 2/3 binary64)))) (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (cbrt.f64 x))) |
(/.f64 (-.f64 (*.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 0 binary64))) (*.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) x)) (*.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (*.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal 2/3 binary64)))) (*.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) (cbrt.f64 x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2/3 binary64)) (*.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))))) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) (-.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (-.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))) (fma.f64 (*.f64 x (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))) (*.f64 x (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))) (*.f64 x (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))) (/.f64 (*.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))) (fma.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))) (*.f64 (/.f64 (*.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) (-.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))))) (-.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)))) (*.f64 (*.f64 x (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))) (*.f64 x (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (*.f64 x (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))) (/.f64 (*.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)))) (*.f64 (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))))) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))) |
(pow.f64 (fma.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x))) |
(*.f64 #s(literal -1 binary64) (-.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) (cbrt.f64 x))) |
(*.f64 (fma.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (pow.f64 x #s(literal 2/3 binary64))) (fma.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 2/3 binary64)))) |
(*.f64 (fma.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))))) |
(*.f64 (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) #s(literal 1 binary64)) |
(*.f64 (-.f64 (pow.f64 x #s(literal 2/3 binary64)) (*.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))) (fma.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 2/3 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)))) |
(*.f64 (+.f64 (sqrt.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) (pow.f64 x #s(literal 1/6 binary64))) (-.f64 (sqrt.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) (pow.f64 x #s(literal 1/6 binary64)))) |
Compiled 41 001 to 4 663 computations (88.6% saved)
20 alts after pruning (16 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 485 | 6 | 2 491 |
| Fresh | 16 | 10 | 26 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 503 | 20 | 2 523 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 5.8% | (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))) |
| 5.9% | (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (cbrt.f64 x))) | |
| ▶ | 8.2% | (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))) |
| 7.3% | (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))))))) | |
| 10.8% | (/.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)))))) | |
| 17.7% | (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (pow.f64 x #s(literal 2/3 binary64)))) | |
| 5.7% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) | |
| 8.9% | (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) (cbrt.f64 x)) | |
| ✓ | 8.0% | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
| ▶ | 9.0% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
| 9.0% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| ✓ | 8.2% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 4.3% | (-.f64 #s(approx (/ 1 (cbrt (/ 1 (+ x 1)))) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x)) | |
| ▶ | 5.4% | (+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
| 24.8% | #s(approx (- (/ 1 (cbrt (/ 1 (+ x 1)))) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))))) (*.f64 x x))) | |
| 24.0% | #s(approx (- (/ 1 (cbrt (/ 1 (+ x 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))) | |
| ▶ | 24.9% | #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))) |
| ▶ | 24.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x))) |
| 24.0% | #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))) | |
| ✓ | 49.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
Compiled 628 to 383 computations (39% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/3 binary64)) |
| ✓ | cost-diff | 0 | (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))) |
| ✓ | cost-diff | 0 | (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
| ✓ | cost-diff | 6592 | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (cbrt.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) |
| ✓ | cost-diff | 0 | (cbrt.f64 x) |
| ✓ | cost-diff | 0 | (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)))))))) |
| ✓ | cost-diff | 0 | (/.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)) |
| 8 784× | lower-fma.f32 |
| 8 770× | lower-fma.f64 |
| 2 398× | lower-*.f32 |
| 2 390× | lower-*.f64 |
| 2 276× | lower-+.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 359 |
| 0 | 82 | 359 |
| 1 | 122 | 341 |
| 2 | 166 | 323 |
| 3 | 236 | 323 |
| 4 | 311 | 323 |
| 5 | 440 | 323 |
| 6 | 711 | 323 |
| 7 | 1126 | 323 |
| 8 | 2630 | 323 |
| 9 | 3843 | 323 |
| 10 | 5354 | 323 |
| 11 | 6711 | 323 |
| 12 | 7546 | 323 |
| 0 | 8028 | 323 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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))) |
(/.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)) |
(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)))))))) |
(cbrt.f64 x) |
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))))))) |
#s(literal 1/3 binary64) |
(cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.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)))))) |
#s(literal 5/81 binary64) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) |
#s(literal -10/243 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))) |
(pow.f64 x #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(cbrt.f64 x) |
x |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) |
(sqrt.f64 x) |
#s(literal 2/3 binary64) |
(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))) |
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/3 binary64)) |
(+.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
#s(literal -1/3 binary64) |
(cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
(neg.f64 (cbrt.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))) |
(/.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)) |
(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)))) |
#s(literal 1/3 binary64) |
(cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x 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))) |
#s(literal 5/81 binary64) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) |
(cbrt.f64 x) |
#s(literal -1/9 binary64) |
| Outputs |
|---|
#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))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (*.f64 x x)) |
(/.f64 (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 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 x x)) |
(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)))))))) |
(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 x) #s(literal -1/9 binary64) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(cbrt.f64 x) |
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))))))) |
(fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x))))))) |
#s(literal 1/3 binary64) |
(cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
(cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 x (*.f64 x (*.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)))))) |
(fma.f64 #s(literal -10/243 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) (*.f64 x x))))) |
#s(literal 5/81 binary64) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) |
#s(literal -10/243 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))) |
(pow.f64 x #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(cbrt.f64 x) |
x |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) |
(sqrt.f64 x) |
#s(literal 2/3 binary64) |
(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))) |
(-.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (cbrt.f64 x)) |
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/3 binary64)) |
(+.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
#s(literal -1/3 binary64) |
(cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
(neg.f64 (cbrt.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))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)) |
(/.f64 (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))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x x)) |
(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)))) |
(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))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x))))))) |
#s(literal 1/3 binary64) |
(cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
(cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 x (*.f64 x (*.f64 x 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))) |
#s(literal 5/81 binary64) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) |
(cbrt.f64 x) |
#s(literal -1/9 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.1% | (cbrt.f64 x) |
| ✓ | accuracy | 54.4% | (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
| ✓ | accuracy | 53.2% | (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | accuracy | 51.7% | (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) (*.f64 x x)) |
| ✓ | accuracy | 99.1% | (cbrt.f64 x) |
| ✓ | accuracy | 92.2% | (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/3 binary64)) |
| ✓ | accuracy | 52.4% | (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) |
| ✓ | accuracy | 7.7% | (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))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.1% | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 92.1% | (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) |
| ✓ | accuracy | 8.3% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.1% | (cbrt.f64 x) |
| ✓ | accuracy | 64.3% | (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
| ✓ | accuracy | 54.4% | (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
| ✓ | accuracy | 53.2% | (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | accuracy | 51.7% | (/.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)) |
| 213.0ms | 192× | 1 | valid |
| 105.0ms | 53× | 2 | valid |
| 4.0ms | 11× | 0 | valid |
Compiled 379 to 49 computations (87.1% saved)
ival-pow: 70.0ms (26% of total)const: 48.0ms (17.9% of total)adjust: 33.0ms (12.3% of total)ival-cbrt: 28.0ms (10.4% of total)ival-mult: 27.0ms (10% of total)ival-add: 26.0ms (9.7% of total)ival-div: 15.0ms (5.6% of total)ival-sub: 6.0ms (2.2% of total)ival-fabs: 5.0ms (1.9% of total)ival-sqrt: 4.0ms (1.5% of total)ival-copysign: 4.0ms (1.5% of total)ival-neg: 2.0ms (0.7% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.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))> |
#<alt (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))))))))> |
#<alt (cbrt.f64 x)> |
#<alt (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)))))))> |
#<alt (+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))> |
#<alt (cbrt.f64 (+.f64 x #s(literal 1 binary64)))> |
#<alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)))> |
#<alt (+.f64 x #s(literal 1 binary64))> |
#<alt (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))> |
#<alt (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)))> |
#<alt (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/3 binary64))> |
#<alt (+.f64 x #s(literal -1 binary64))> |
#<alt (cbrt.f64 (fma.f64 x x #s(literal -1 binary64)))> |
#<alt (/.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))> |
#<alt (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))))> |
#<alt (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))> |
#<alt (*.f64 (*.f64 x x) (*.f64 x x))> |
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))> |
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))> |
#<alt (sqrt.f64 x)> |
| Outputs |
|---|
#<alt (* -10/243 (cbrt (/ 1 (pow x 11))))> |
#<alt (/ (+ (* -10/243 (cbrt x)) (* 5/81 (cbrt (pow x 4)))) (pow x 4))> |
#<alt (/ (+ (* -10/243 (cbrt x)) (* x (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))))) (pow x 4))> |
#<alt (/ (+ (* -10/243 (cbrt x)) (* x (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 4))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* -10/243 (cbrt (/ 1 (pow x 11)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 5/81 (cbrt (/ 1 (pow x 2))))) x)) (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))) x)) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (* -10/243 (cbrt (/ 1 (pow x 5))))> |
#<alt (/ (+ (* -10/243 (cbrt x)) (* 5/81 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (/ (+ (* -10/243 (cbrt x)) (* x (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))))) (pow x 2))> |
#<alt (/ (+ (* -10/243 (cbrt x)) (* x (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 2))> |
#<alt (* 1/3 (cbrt (pow x 4)))> |
#<alt (* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))> |
#<alt (* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* -10/243 (cbrt (/ 1 (pow x 11)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))))> |
#<alt (* 1/3 (cbrt (pow x 4)))> |
#<alt (* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 5/81 (cbrt (/ 1 (pow x 2))))) x)) (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))) x)) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -10/243 (cbrt (/ 1 (pow x 5))))> |
#<alt (/ (+ (* -10/243 (cbrt x)) (* 5/81 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (/ (+ (* -10/243 (cbrt x)) (* x (+ (* 5/81 (cbrt x)) (* 1/3 (cbrt (pow x 7)))))) (pow x 2))> |
#<alt (/ (+ (* -10/243 (cbrt x)) (* x (+ (* 5/81 (cbrt x)) (* 1/3 (cbrt (pow x 7)))))) (pow x 2))> |
#<alt (* 1/3 (cbrt (pow x 4)))> |
#<alt (* (pow x 2) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* (pow x 2) (+ (* -10/243 (cbrt (/ 1 (pow x 11)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))> |
#<alt (* (pow x 2) (+ (* -10/243 (cbrt (/ 1 (pow x 11)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))> |
#<alt (* 1/3 (cbrt (pow x 4)))> |
#<alt (* (pow x 2) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* (pow x 2) (+ (* 10/243 (* (cbrt (/ 1 (pow x 11))) (cbrt -1))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))> |
#<alt (* (pow x 2) (+ (* 10/243 (* (cbrt (/ 1 (pow x 11))) (cbrt -1))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))> |
#<alt (+ 1 (cbrt x))> |
#<alt (+ 1 (+ (cbrt x) (* 1/3 x)))> |
#<alt (+ 1 (+ (cbrt x) (* x (+ 1/3 (* -1/9 x)))))> |
#<alt (+ 1 (+ (cbrt x) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))))> |
#<alt (* 2 (cbrt x))> |
#<alt (* x (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2)))))))> |
#<alt (* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2))))))))> |
#<alt (* -2 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* 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))) (* 2 (* (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))) (* 2 (* (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 (- 1 (cbrt x))> |
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))> |
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))> |
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))> |
#<alt (* -1 (* x (- (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (cbrt (/ (pow (sqrt -1) 2) (pow x 2))))))> |
#<alt (* -1 (* x (- (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ (pow (sqrt -1) 2) (pow x 2))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ (pow (sqrt -1) 2) (pow x 2))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ (pow (sqrt -1) 2) (pow x 2))))))> |
#<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 (pow (sqrt -1) 2))))> |
#<alt (* -1 (cbrt (* x (pow (sqrt -1) 2))))> |
#<alt (* -1 (cbrt (* x (pow (sqrt -1) 2))))> |
#<alt (* -1 (cbrt (* x (pow (sqrt -1) 2))))> |
#<alt (- 1 (cbrt x))> |
#<alt (- (+ 1 (* 1/3 x)) (cbrt x))> |
#<alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x))> |
#<alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2))> |
#<alt (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))> |
#<alt (/ (+ (* -1/3 (* (cbrt (pow x 4)) (cbrt -1))) (* 1/9 (* (cbrt x) (cbrt -1)))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (cbrt -1))) (* 5/81 (* (cbrt (pow x 7)) (cbrt -1)))) (pow x 3))) (* -1/3 (* (cbrt (pow x 4)) (cbrt -1)))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -5/81 (* (cbrt (pow x 16)) (cbrt -1))) (* 10/243 (* (cbrt (pow x 13)) (cbrt -1)))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (cbrt -1)))) (pow x 3))) (* -1/3 (* (cbrt (pow x 4)) (cbrt -1)))) (pow x 2))> |
#<alt (cbrt -1)> |
#<alt (+ (cbrt -1) (* -1/3 (* x (cbrt (/ 1 (pow (cbrt -1) 2))))))> |
#<alt (+ (cbrt -1) (* x (+ (* -1/3 (cbrt (/ 1 (pow (cbrt -1) 2)))) (* -1/3 (/ (* x (+ 1 (* 1/3 (cbrt (/ 1 (cbrt -1)))))) (pow (cbrt -1) 2))))))> |
#<alt (+ (cbrt -1) (* x (+ (* -1/3 (cbrt (/ 1 (pow (cbrt -1) 2)))) (* x (+ (* -1/3 (/ (+ 1 (* 1/3 (cbrt (/ 1 (cbrt -1))))) (pow (cbrt -1) 2))) (* 1/3 (/ (* x (- (* 1/27 (/ 1 (pow (cbrt -1) 2))) (+ 1 (* 2/3 (* (cbrt (/ 1 (pow (cbrt -1) 5))) (+ 1 (* 1/3 (cbrt (/ 1 (cbrt -1)))))))))) (pow (cbrt -1) 2))))))))> |
#<alt (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))> |
#<alt (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))))> |
#<alt (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (+ (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (pow x 4)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))))> |
#<alt (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (+ (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))) (+ (* 1/3 (* (/ 1 (pow x 4)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (pow x 5)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))))))> |
#<alt (cbrt (+ (/ 1 x) (/ 1 (pow x 2))))> |
#<alt (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))))> |
#<alt (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* -1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))) (* -1/3 (* (/ 1 x) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))) (pow x 3))))> |
#<alt (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))) (* 1/3 (* (/ 1 x) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))) x)) (* -1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))) (pow x 3))))> |
#<alt -1> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt x> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt x> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (cbrt -1)> |
#<alt (+ (cbrt -1) (* 1/3 (/ (pow x 2) (pow (cbrt -1) 2))))> |
#<alt (+ (cbrt -1) (* (pow x 2) (+ (* -1/9 (/ (pow x 2) (pow (cbrt -1) 5))) (* 1/3 (/ 1 (pow (cbrt -1) 2))))))> |
#<alt (+ (cbrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 5/81 (/ (pow x 2) (pow (cbrt -1) 8))) (* 1/9 (/ 1 (pow (cbrt -1) 5))))) (* 1/3 (/ 1 (pow (cbrt -1) 2))))))> |
#<alt (cbrt (pow x 2))> |
#<alt (* x (+ (cbrt (/ 1 x)) (* -1/3 (cbrt (/ 1 (pow x 7))))))> |
#<alt (* x (+ (cbrt (/ 1 x)) (+ (* -1/3 (cbrt (/ 1 (pow x 7)))) (* -1/9 (cbrt (/ 1 (pow x 13)))))))> |
#<alt (* x (+ (cbrt (/ 1 x)) (+ (* -1/3 (cbrt (/ 1 (pow x 7)))) (+ (* -1/9 (cbrt (/ 1 (pow x 13)))) (* -5/81 (cbrt (/ 1 (pow x 19))))))))> |
#<alt (* -1 (* (cbrt (pow x 2)) (cbrt -1)))> |
#<alt (* -1 (* x (+ (* 1/3 (cbrt (/ 1 (pow x 7)))) (* (cbrt (/ 1 x)) (cbrt -1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1/3 (cbrt (pow x 2))) (* 1/9 (* (cbrt (/ 1 (pow x 4))) (cbrt -1)))) (pow x 3))) (* (cbrt (/ 1 x)) (cbrt -1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 5)) (cbrt -1))) (* 5/81 (cbrt (/ 1 x)))) (pow x 3))) (* -1/3 (cbrt (pow x 2)))) (pow x 3))) (* (cbrt (/ 1 x)) (cbrt -1)))))> |
#<alt (* 5/81 (cbrt (/ 1 (pow x 8))))> |
#<alt (/ (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))) (pow x 3))> |
#<alt (/ (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))) (pow x 3))> |
#<alt (/ (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))) (pow x 3))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (* 5/81 (cbrt (/ 1 (pow x 2))))> |
#<alt (/ (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))) x)> |
#<alt (/ (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))) x)> |
#<alt (/ (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))) x)> |
#<alt (* 1/3 (cbrt (pow x 4)))> |
#<alt (* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))> |
#<alt (* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))> |
#<alt (* 1/3 (cbrt (pow x 4)))> |
#<alt (* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))> |
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))> |
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))> |
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))> |
#<alt (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)))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | (pow (+ x -1) -1/3) |
| 2.0ms | x | @ | -inf | (+ (* (pow (+ x -1) -1/3) (cbrt (+ (* x x) -1))) (neg (cbrt x))) |
| 2.0ms | x | @ | -inf | (pow (sqrt x) 2/3) |
| 1.0ms | x | @ | 0 | (pow (sqrt x) 2/3) |
| 1.0ms | x | @ | 0 | (cbrt (* (* x x) (* x x))) |
| 1× | egg-herbie |
| 10 220× | lower-fma.f64 |
| 10 220× | lower-fma.f32 |
| 5 050× | lower-*.f64 |
| 5 050× | lower-*.f32 |
| 4 038× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 413 | 3490 |
| 1 | 1132 | 3319 |
| 2 | 3357 | 3294 |
| 3 | 7408 | 3294 |
| 0 | 8152 | 3136 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -10/243 (cbrt (/ 1 (pow x 11)))) |
(/ (+ (* -10/243 (cbrt x)) (* 5/81 (cbrt (pow x 4)))) (pow x 4)) |
(/ (+ (* -10/243 (cbrt x)) (* x (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))))) (pow x 4)) |
(/ (+ (* -10/243 (cbrt x)) (* x (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 4)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* -10/243 (cbrt (/ 1 (pow x 11)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 5/81 (cbrt (/ 1 (pow x 2))))) x)) (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))) x)) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(* -10/243 (cbrt (/ 1 (pow x 5)))) |
(/ (+ (* -10/243 (cbrt x)) (* 5/81 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -10/243 (cbrt x)) (* x (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))))) (pow x 2)) |
(/ (+ (* -10/243 (cbrt x)) (* x (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 2)) |
(* 1/3 (cbrt (pow x 4))) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* -10/243 (cbrt (/ 1 (pow x 11)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))) |
(* 1/3 (cbrt (pow x 4))) |
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 5/81 (cbrt (/ 1 (pow x 2))))) x)) (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))) x)) (* 1/3 (cbrt (/ 1 (pow x 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))) |
(* -10/243 (cbrt (/ 1 (pow x 5)))) |
(/ (+ (* -10/243 (cbrt x)) (* 5/81 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -10/243 (cbrt x)) (* x (+ (* 5/81 (cbrt x)) (* 1/3 (cbrt (pow x 7)))))) (pow x 2)) |
(/ (+ (* -10/243 (cbrt x)) (* x (+ (* 5/81 (cbrt x)) (* 1/3 (cbrt (pow x 7)))))) (pow x 2)) |
(* 1/3 (cbrt (pow x 4))) |
(* (pow x 2) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ (* -10/243 (cbrt (/ 1 (pow x 11)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))) |
(* (pow x 2) (+ (* -10/243 (cbrt (/ 1 (pow x 11)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))) |
(* 1/3 (cbrt (pow x 4))) |
(* (pow x 2) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ (* 10/243 (* (cbrt (/ 1 (pow x 11))) (cbrt -1))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))) |
(* (pow x 2) (+ (* 10/243 (* (cbrt (/ 1 (pow x 11))) (cbrt -1))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))) |
(+ 1 (cbrt x)) |
(+ 1 (+ (cbrt x) (* 1/3 x))) |
(+ 1 (+ (cbrt x) (* x (+ 1/3 (* -1/9 x))))) |
(+ 1 (+ (cbrt x) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))) |
(* 2 (cbrt x)) |
(* x (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2)))))) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2))))))) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2)))))))) |
(* -2 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* 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))) (* 2 (* (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))) (* 2 (* (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))))) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(* -1 (* x (- (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (cbrt (/ (pow (sqrt -1) 2) (pow x 2)))))) |
(* -1 (* x (- (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ (pow (sqrt -1) 2) (pow x 2)))))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ (pow (sqrt -1) 2) (pow x 2)))))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ (pow (sqrt -1) 2) (pow x 2)))))) |
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 (pow (sqrt -1) 2)))) |
(* -1 (cbrt (* x (pow (sqrt -1) 2)))) |
(* -1 (cbrt (* x (pow (sqrt -1) 2)))) |
(* -1 (cbrt (* x (pow (sqrt -1) 2)))) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) |
(/ (+ (* -1/3 (* (cbrt (pow x 4)) (cbrt -1))) (* 1/9 (* (cbrt x) (cbrt -1)))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (cbrt -1))) (* 5/81 (* (cbrt (pow x 7)) (cbrt -1)))) (pow x 3))) (* -1/3 (* (cbrt (pow x 4)) (cbrt -1)))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -5/81 (* (cbrt (pow x 16)) (cbrt -1))) (* 10/243 (* (cbrt (pow x 13)) (cbrt -1)))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (cbrt -1)))) (pow x 3))) (* -1/3 (* (cbrt (pow x 4)) (cbrt -1)))) (pow x 2)) |
(cbrt -1) |
(+ (cbrt -1) (* -1/3 (* x (cbrt (/ 1 (pow (cbrt -1) 2)))))) |
(+ (cbrt -1) (* x (+ (* -1/3 (cbrt (/ 1 (pow (cbrt -1) 2)))) (* -1/3 (/ (* x (+ 1 (* 1/3 (cbrt (/ 1 (cbrt -1)))))) (pow (cbrt -1) 2)))))) |
(+ (cbrt -1) (* x (+ (* -1/3 (cbrt (/ 1 (pow (cbrt -1) 2)))) (* x (+ (* -1/3 (/ (+ 1 (* 1/3 (cbrt (/ 1 (cbrt -1))))) (pow (cbrt -1) 2))) (* 1/3 (/ (* x (- (* 1/27 (/ 1 (pow (cbrt -1) 2))) (+ 1 (* 2/3 (* (cbrt (/ 1 (pow (cbrt -1) 5))) (+ 1 (* 1/3 (cbrt (/ 1 (cbrt -1)))))))))) (pow (cbrt -1) 2)))))))) |
(cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) |
(+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))) |
(+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (+ (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (pow x 4)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))))) |
(+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (+ (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))) (+ (* 1/3 (* (/ 1 (pow x 4)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (pow x 5)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))))) |
(cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) |
(+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))) |
(+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* -1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))) (* -1/3 (* (/ 1 x) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))) (pow x 3)))) |
(+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))) (* 1/3 (* (/ 1 x) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))) x)) (* -1/3 (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))) (pow x 3)))) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(cbrt -1) |
(+ (cbrt -1) (* 1/3 (/ (pow x 2) (pow (cbrt -1) 2)))) |
(+ (cbrt -1) (* (pow x 2) (+ (* -1/9 (/ (pow x 2) (pow (cbrt -1) 5))) (* 1/3 (/ 1 (pow (cbrt -1) 2)))))) |
(+ (cbrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 5/81 (/ (pow x 2) (pow (cbrt -1) 8))) (* 1/9 (/ 1 (pow (cbrt -1) 5))))) (* 1/3 (/ 1 (pow (cbrt -1) 2)))))) |
(cbrt (pow x 2)) |
(* x (+ (cbrt (/ 1 x)) (* -1/3 (cbrt (/ 1 (pow x 7)))))) |
(* x (+ (cbrt (/ 1 x)) (+ (* -1/3 (cbrt (/ 1 (pow x 7)))) (* -1/9 (cbrt (/ 1 (pow x 13))))))) |
(* x (+ (cbrt (/ 1 x)) (+ (* -1/3 (cbrt (/ 1 (pow x 7)))) (+ (* -1/9 (cbrt (/ 1 (pow x 13)))) (* -5/81 (cbrt (/ 1 (pow x 19)))))))) |
(* -1 (* (cbrt (pow x 2)) (cbrt -1))) |
(* -1 (* x (+ (* 1/3 (cbrt (/ 1 (pow x 7)))) (* (cbrt (/ 1 x)) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/3 (cbrt (pow x 2))) (* 1/9 (* (cbrt (/ 1 (pow x 4))) (cbrt -1)))) (pow x 3))) (* (cbrt (/ 1 x)) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 5)) (cbrt -1))) (* 5/81 (cbrt (/ 1 x)))) (pow x 3))) (* -1/3 (cbrt (pow x 2)))) (pow x 3))) (* (cbrt (/ 1 x)) (cbrt -1))))) |
(* 5/81 (cbrt (/ 1 (pow x 8)))) |
(/ (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))) (pow x 3)) |
(/ (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))) (pow x 3)) |
(/ (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))) (pow x 3)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(* 5/81 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))) x) |
(/ (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))) x) |
(/ (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))) x) |
(* 1/3 (cbrt (pow x 4))) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))) |
(* 1/3 (cbrt (pow x 4))) |
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(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))) |
| Outputs |
|---|
(* -10/243 (cbrt (/ 1 (pow x 11)))) |
(*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))))) |
(/ (+ (* -10/243 (cbrt x)) (* 5/81 (cbrt (pow x 4)))) (pow x 4)) |
(/.f64 (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/ (+ (* -10/243 (cbrt x)) (* x (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))))) (pow x 4)) |
(/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x #s(literal -1/9 binary64)) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 5/81 binary64) #s(literal -10/243 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/ (+ (* -10/243 (cbrt x)) (* x (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 4)) |
(/.f64 (fma.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 5/81 binary64) #s(literal -10/243 binary64)))) (*.f64 (*.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)))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
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(fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
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(fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 #s(literal -10/243 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 5 binary64)))) (*.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)))) |
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(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
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(-.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (-.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1/9 binary64))) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 10/243 binary64)) (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) x)) x)) |
(* -10/243 (cbrt (/ 1 (pow x 5)))) |
(*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(/ (+ (* -10/243 (cbrt x)) (* 5/81 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 x))) (*.f64 x x)) |
(/ (+ (* -10/243 (cbrt x)) (* x (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))))) (pow x 2)) |
(/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x #s(literal -1/9 binary64)) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 5/81 binary64) #s(literal -10/243 binary64)))) (*.f64 x x)) |
(/ (+ (* -10/243 (cbrt x)) (* x (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 5/81 binary64) #s(literal -10/243 binary64)))) (*.f64 x x)) |
(* 1/3 (cbrt (pow x 4))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))))) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* -10/243 (cbrt (/ 1 (pow x 11)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 #s(literal -10/243 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 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))) |
(* 1/3 (cbrt (pow x 4))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/81 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1/9 binary64)))) x))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 5/81 (cbrt (/ 1 (pow x 2))))) x)) (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))) x)) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (-.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1/9 binary64))) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 10/243 binary64)) (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) 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))) |
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(* -10/243 (cbrt (/ 1 (pow x 5)))) |
(*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(/ (+ (* -10/243 (cbrt x)) (* 5/81 (cbrt (pow x 4)))) (pow x 2)) |
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(/ (+ (* -10/243 (cbrt x)) (* x (+ (* 5/81 (cbrt x)) (* 1/3 (cbrt (pow x 7)))))) (pow x 2)) |
(/.f64 (fma.f64 (cbrt.f64 x) (fma.f64 x #s(literal 5/81 binary64) #s(literal -10/243 binary64)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x x)) |
(/ (+ (* -10/243 (cbrt x)) (* x (+ (* 5/81 (cbrt x)) (* 1/3 (cbrt (pow x 7)))))) (pow x 2)) |
(/.f64 (fma.f64 (cbrt.f64 x) (fma.f64 x #s(literal 5/81 binary64) #s(literal -10/243 binary64)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x x)) |
(* 1/3 (cbrt (pow x 4))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* (pow x 2) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 5/81 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) (*.f64 x x)))))) |
(* (pow x 2) (+ (* -10/243 (cbrt (/ 1 (pow x 11)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) (fma.f64 #s(literal 5/81 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) (*.f64 x x))))))) |
(* (pow x 2) (+ (* -10/243 (cbrt (/ 1 (pow x 11)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) (fma.f64 #s(literal 5/81 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) (*.f64 x x))))))) |
(* 1/3 (cbrt (pow x 4))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64)) |
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(*.f64 (*.f64 x x) (fma.f64 #s(literal 5/81 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) (*.f64 x x)))))) |
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(*.f64 (*.f64 x x) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 10/243 binary64)) (fma.f64 #s(literal 5/81 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) (*.f64 x x))))))) |
(* (pow x 2) (+ (* 10/243 (* (cbrt (/ 1 (pow x 11))) (cbrt -1))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))) |
(*.f64 (*.f64 x x) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 10/243 binary64)) (fma.f64 #s(literal 5/81 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) (*.f64 x x))))))) |
(+ 1 (cbrt x)) |
(+.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(+ 1 (+ (cbrt x) (* 1/3 x))) |
(+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) (cbrt.f64 x))) |
(+ 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 (+ (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))) |
(* 2 (cbrt x)) |
(*.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(* x (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2)))))) |
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(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2))))))) |
(*.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 2 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))))) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2)))))))) |
(*.f64 x (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) #s(literal 5/81 binary64) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 2 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))) |
(* -2 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* 2 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 2 binary64) (cbrt.f64 #s(literal -1 binary64))))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* 2 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(*.f64 x (neg.f64 (-.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 2 binary64) (cbrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (cbrt.f64 x) (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.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 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))) (* 2 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(*.f64 (-.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 2 binary64) (cbrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (*.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 #s(literal -1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal -5/81 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.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))))) |
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1 |
#s(literal 1 binary64) |
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(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
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(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x (*.f64 x x))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
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-1 |
#s(literal -1 binary64) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
x |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
(cbrt -1) |
(cbrt.f64 #s(literal -1 binary64)) |
(+ (cbrt -1) (* 1/3 (/ (pow x 2) (pow (cbrt -1) 2)))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 x (/.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))) |
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(fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 x #s(literal -1/9 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))) |
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(cbrt (pow x 2)) |
(cbrt.f64 (*.f64 x x)) |
(* x (+ (cbrt (/ 1 x)) (* -1/3 (cbrt (/ 1 (pow x 7)))))) |
(*.f64 x (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* x (+ (cbrt (/ 1 x)) (+ (* -1/3 (cbrt (/ 1 (pow x 7)))) (* -1/9 (cbrt (/ 1 (pow x 13))))))) |
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(* x (+ (cbrt (/ 1 x)) (+ (* -1/3 (cbrt (/ 1 (pow x 7)))) (+ (* -1/9 (cbrt (/ 1 (pow x 13)))) (* -5/81 (cbrt (/ 1 (pow x 19)))))))) |
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(* 5/81 (cbrt (/ 1 (pow x 8)))) |
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(/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 x) #s(literal 5/81 binary64))) (*.f64 x (*.f64 x x))) |
(/ (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))) (pow x 3)) |
(/.f64 (fma.f64 (cbrt.f64 x) (+.f64 #s(literal 5/81 binary64) (*.f64 x #s(literal -1/9 binary64))) (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x (*.f64 x x))) |
(/ (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))) (pow x 3)) |
(/.f64 (fma.f64 (cbrt.f64 x) (+.f64 #s(literal 5/81 binary64) (*.f64 x #s(literal -1/9 binary64))) (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x (*.f64 x x))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (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)))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
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(+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
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(+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(-.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/81 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1/9 binary64)))) x)) |
(* 5/81 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))) x) |
(/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 x) #s(literal 5/81 binary64))) x) |
(/ (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))) x) |
(/.f64 (fma.f64 (cbrt.f64 x) (+.f64 #s(literal 5/81 binary64) (*.f64 x #s(literal -1/9 binary64))) (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x #s(literal 1/3 binary64)))) x) |
(/ (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))) x) |
(/.f64 (fma.f64 (cbrt.f64 x) (+.f64 #s(literal 5/81 binary64) (*.f64 x #s(literal -1/9 binary64))) (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x #s(literal 1/3 binary64)))) x) |
(* 1/3 (cbrt (pow x 4))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))))) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))))) |
(* 1/3 (cbrt (pow x 4))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/81 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1/9 binary64)))) x))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/81 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1/9 binary64)))) x))) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.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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(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
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(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) |
(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× | batch-egg-rewrite |
| 3 748× | lower-fma.f32 |
| 3 734× | lower-fma.f64 |
| 3 720× | lower-*.f32 |
| 3 712× | lower-*.f64 |
| 3 666× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 223 |
| 0 | 78 | 197 |
| 1 | 295 | 171 |
| 2 | 2233 | 171 |
| 0 | 8363 | 155 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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)) |
(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)))))))) |
(cbrt.f64 x) |
(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 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) |
(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))) |
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/3 binary64)) |
(+.f64 x #s(literal -1 binary64)) |
(cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) |
(/.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)) |
(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)))) |
(cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(sqrt.f64 x) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)))))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)))))) (*.f64 x x))) |
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64)) (-.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64))))))) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64))))) #s(literal 2 binary64)) (-.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64))))))) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64)) (*.f64 (*.f64 x x) (-.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)))))))) (/.f64 (pow.f64 (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (-.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64))))))))) |
(neg.f64 (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)))))) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64))))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64))))))) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)))))))))) |
(/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)))))) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x x) (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64))))))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64))))))) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64))))))) (*.f64 x x)) |
(/.f64 (fma.f64 x #s(literal -1/729 binary64) (pow.f64 (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64))))) #s(literal 3 binary64))) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64))))) (-.f64 (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64))))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64)) (pow.f64 (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64))))) #s(literal 2 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)))))))) |
(/.f64 (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)))))) x) x) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/729 binary64) (pow.f64 (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64))))) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64))))) (-.f64 (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64))))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64))) (*.f64 x x))) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/729 binary64) (pow.f64 (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64))))) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64))))) (-.f64 (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64))))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64))) (*.f64 x x))) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/729 binary64) (pow.f64 (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64))))) (-.f64 (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64))))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64))) x)) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64)) (pow.f64 (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64))))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)))))) (*.f64 x x))) |
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(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 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/3 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 x))) #s(literal -1 binary64))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(*.f64 (pow.f64 (neg.f64 (cbrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (cbrt.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 (cbrt.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -5 binary64)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -5/3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 5 binary64) (log.f64 x)) #s(literal -1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 5/3 binary64))) #s(literal -1 binary64))) |
(cbrt.f64 (pow.f64 x #s(literal -5 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/3 binary64))) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 x #s(literal 5/3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 5/3 binary64)))) |
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))))) |
(/.f64 (cbrt.f64 (pow.f64 x #s(literal -5/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64)))) |
(/.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64)))))) |
(pow.f64 x #s(literal -5/3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -5 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -5/6 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -10/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -2/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal -5/6 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) (pow.f64 x #s(literal -5 binary64))) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -5/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -5/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -5/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -5/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/3 binary64))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(*.f64 (pow.f64 x #s(literal -5/6 binary64)) (pow.f64 x #s(literal -5/6 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -5/3 binary64)) (pow.f64 x #s(literal -5/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -5/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -5/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -5/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -5/3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -5/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -5/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1 binary64)) #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -5/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -5/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) |
(exp.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 x)))) |
(exp.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 x) (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))) |
(fabs.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
(cbrt.f64 (*.f64 x (sqrt.f64 x))) |
(pow.f64 x #s(literal 1/2 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1/3 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x)) |
(*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 2/3 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 2/3 binary64))) (sqrt.f64 (cbrt.f64 x))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) |
Compiled 11 562 to 1 662 computations (85.6% saved)
24 alts after pruning (17 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 585 | 9 | 594 |
| Fresh | 3 | 8 | 11 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 3 | 4 |
| Total | 590 | 24 | 614 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 5.8% | (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))) |
| 5.9% | (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (cbrt.f64 x))) | |
| ✓ | 8.2% | (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))) |
| 7.3% | (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))))))) | |
| 10.8% | (/.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)))))) | |
| 17.7% | (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (pow.f64 x #s(literal 2/3 binary64)))) | |
| ▶ | 8.2% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
| 5.7% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) | |
| 9.0% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| ✓ | 8.2% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 4.3% | (-.f64 #s(approx (/ 1 (cbrt (/ 1 (+ x 1)))) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x)) | |
| 5.7% | (-.f64 #s(approx (cbrt (+ x 1)) (cbrt.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) | |
| ▶ | 5.4% | (+.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
| 4.6% | (+.f64 (pow.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) | |
| 5.4% | (+.f64 (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) | |
| ▶ | 5.4% | (+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
| ✓ | 5.4% | (+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
| ▶ | 24.0% | #s(approx (- (/ 1 (cbrt (/ 1 (+ x 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))) |
| 24.0% | #s(approx (- (cbrt (+ x 1)) (pow (sqrt x) 2/3)) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))) | |
| ▶ | 24.9% | #s(approx (- (cbrt (+ x 1)) (pow (sqrt x) 2/3)) (/.f64 (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))))) (*.f64 x x))) |
| 21.1% | #s(approx (- (cbrt (+ x 1)) (pow (sqrt x) 2/3)) (*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))))) (neg.f64 x))) | |
| ✓ | 24.9% | #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))) |
| ✓ | 24.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (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))) |
| ✓ | 49.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
Compiled 658 to 413 computations (37.2% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
| ✓ | cost-diff | 0 | (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))) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)) |
| ✓ | cost-diff | 5504 | (pow.f64 x #s(literal 4 binary64)) |
| ✓ | cost-diff | 0 | (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
| ✓ | cost-diff | 6656 | (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (pow.f64 x #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 6528 | (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 64 | (pow.f64 x #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | cost-diff | 0 | (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))))) (*.f64 x x)) |
| 10 366× | lower-fma.f32 |
| 10 358× | lower-fma.f64 |
| 3 208× | lower-*.f32 |
| 3 202× | lower-*.f64 |
| 1 958× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 292 |
| 0 | 85 | 294 |
| 1 | 121 | 276 |
| 2 | 154 | 258 |
| 3 | 217 | 258 |
| 4 | 249 | 258 |
| 5 | 289 | 258 |
| 6 | 357 | 258 |
| 7 | 417 | 258 |
| 8 | 554 | 258 |
| 9 | 625 | 258 |
| 10 | 730 | 258 |
| 11 | 873 | 258 |
| 12 | 1219 | 258 |
| 13 | 2445 | 258 |
| 14 | 4323 | 258 |
| 15 | 5991 | 258 |
| 16 | 7589 | 258 |
| 0 | 8092 | 258 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (pow (sqrt x) 2/3)) (/.f64 (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))))) (*.f64 x x))) |
(/.f64 (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 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)))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))))) |
#s(literal -10/243 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)) |
x |
#s(literal 5 binary64) |
(fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) |
#s(literal 5/81 binary64) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) |
(cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
#s(literal 1/3 binary64) |
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) |
(cbrt.f64 x) |
#s(literal -1/9 binary64) |
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(pow.f64 x #s(literal 1/3 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(+.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 1/6 binary64)) |
x |
#s(literal 1/6 binary64) |
#s(literal 2 binary64) |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(literal 1/3 binary64) |
(pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) |
(sqrt.f64 x) |
#s(literal 2/3 binary64) |
#s(approx (- (/ 1 (cbrt (/ 1 (+ x 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 (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)) |
(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))) |
#s(literal 1/3 binary64) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) |
(cbrt.f64 x) |
#s(literal -1/9 binary64) |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (pow (sqrt x) 2/3)) (/.f64 (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))))) (*.f64 x x))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
(/.f64 (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))))) (*.f64 x x)) |
(/.f64 (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 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)))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))))) |
(fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))))) |
#s(literal -10/243 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)) |
x |
#s(literal 5 binary64) |
(fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64) (*.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 (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))) |
#s(literal 5/81 binary64) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) |
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) |
(cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
(cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
#s(literal 1/3 binary64) |
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) |
(cbrt.f64 x) |
#s(literal -1/9 binary64) |
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(pow.f64 x #s(literal 1/3 binary64)) |
(cbrt.f64 x) |
x |
#s(literal 1/3 binary64) |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(+.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(cbrt.f64 x) |
(pow.f64 x #s(literal 1/6 binary64)) |
x |
#s(literal 1/6 binary64) |
#s(literal 2 binary64) |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(literal 1/3 binary64) |
(pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) |
(sqrt.f64 x) |
#s(literal 2/3 binary64) |
#s(approx (- (/ 1 (cbrt (/ 1 (+ x 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 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)) |
(/.f64 (fma.f64 (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)) |
(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))) |
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) |
#s(literal 1/3 binary64) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
x |
#s(literal 4 binary64) |
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) |
(cbrt.f64 x) |
#s(literal -1/9 binary64) |
(*.f64 x x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.3% | (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))) |
| ✓ | accuracy | 99.1% | (cbrt.f64 x) |
| ✓ | accuracy | 54.4% | (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
| ✓ | accuracy | 51.7% | (/.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)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 92.1% | (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) |
| ✓ | accuracy | 92.1% | (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 8.3% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.2% | (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
| ✓ | accuracy | 93.6% | (pow.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
| ✓ | accuracy | 92.1% | (pow.f64 x #s(literal 1/3 binary64)) |
| ✓ | accuracy | 64.3% | (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
| ✓ | accuracy | 54.4% | (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
| ✓ | accuracy | 53.2% | (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | accuracy | 51.7% | (/.f64 (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))))) (*.f64 x x)) |
| 199.0ms | 192× | 1 | valid |
| 68.0ms | 53× | 2 | valid |
| 4.0ms | 11× | 0 | valid |
Compiled 305 to 49 computations (83.9% saved)
ival-pow: 44.0ms (19.7% of total)ival-cbrt: 41.0ms (18.3% of total)const: 39.0ms (17.4% of total)adjust: 24.0ms (10.7% of total)ival-div: 21.0ms (9.4% of total)ival-mult: 18.0ms (8% of total)ival-add: 17.0ms (7.6% of total)ival-sub: 5.0ms (2.2% of total)ival-pow2: 5.0ms (2.2% of total)ival-sqrt: 4.0ms (1.8% of total)ival-fabs: 2.0ms (0.9% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))))) (*.f64 x x))> |
#<alt (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)))))> |
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))> |
#<alt (pow.f64 x #s(literal 1/3 binary64))> |
#<alt (+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))> |
#<alt (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))> |
#<alt (+.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)))> |
#<alt (pow.f64 x #s(literal 1/6 binary64))> |
#<alt (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))> |
#<alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)))> |
#<alt (+.f64 x #s(literal 1 binary64))> |
#<alt (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))> |
#<alt (pow.f64 x #s(literal 4 binary64))> |
#<alt (/.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))> |
#<alt (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)))> |
#<alt (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))> |
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))> |
#<alt (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))> |
#<alt (sqrt.f64 x)> |
#<alt (cbrt.f64 x)> |
| Outputs |
|---|
#<alt (* -10/243 (cbrt (/ 1 (pow x 11))))> |
#<alt (/ (+ (* -10/243 (cbrt x)) (* 5/81 (cbrt (pow x 4)))) (pow x 4))> |
#<alt (/ (+ (* -10/243 (cbrt x)) (* x (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))))) (pow x 4))> |
#<alt (/ (+ (* -10/243 (cbrt x)) (* x (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 4))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* -10/243 (cbrt (/ 1 (pow x 11)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 5/81 (cbrt (/ 1 (pow x 2))))) x)) (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))) x)) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (* -10/243 (cbrt (/ 1 (pow x 5))))> |
#<alt (/ (+ (* -10/243 (cbrt x)) (* 5/81 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (/ (+ (* -10/243 (cbrt x)) (* x (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))))) (pow x 2))> |
#<alt (/ (+ (* -10/243 (cbrt x)) (* x (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 2))> |
#<alt (* 1/3 (cbrt (pow x 4)))> |
#<alt (* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))> |
#<alt (* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* -10/243 (cbrt (/ 1 (pow x 11)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))))> |
#<alt (* 1/3 (cbrt (pow x 4)))> |
#<alt (* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 5/81 (cbrt (/ 1 (pow x 2))))) x)) (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))) x)) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (cbrt (/ 1 (pow x 5)))> |
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))> |
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))> |
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))> |
#<alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (/ 1 (pow x 5))> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (cbrt x)> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* (cbrt x) (cbrt -1)))> |
#<alt (+ 1 (cbrt x))> |
#<alt (+ 1 (+ (cbrt x) (* 1/3 x)))> |
#<alt (+ 1 (+ (cbrt x) (* x (+ 1/3 (* -1/9 x)))))> |
#<alt (+ 1 (+ (cbrt x) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))))> |
#<alt (* 2 (cbrt x))> |
#<alt (* x (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2)))))))> |
#<alt (* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2))))))))> |
#<alt (* -2 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* 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))) (* 2 (* (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))) (* 2 (* (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 (cbrt x))> |
#<alt (+ 1 (+ (cbrt x) (* 1/3 x)))> |
#<alt (+ 1 (+ (cbrt x) (* x (+ 1/3 (* -1/9 x)))))> |
#<alt (+ 1 (+ (cbrt x) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))))> |
#<alt (* 2 (cbrt x))> |
#<alt (* x (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2)))))))> |
#<alt (* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2))))))))> |
#<alt (* -2 (* (cbrt x) (cbrt -1)))> |
#<alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* 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))) (* 2 (* (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))) (* 2 (* (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> |
#<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 (/ 1 (pow x 2))) (cbrt -1)) (cbrt (/ (pow (sqrt -1) 2) (pow x 2))))))> |
#<alt (* -1 (* x (- (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ (pow (sqrt -1) 2) (pow x 2))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ (pow (sqrt -1) 2) (pow x 2))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ (pow (sqrt -1) 2) (pow x 2))))))> |
#<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 (pow (sqrt -1) 2))))> |
#<alt (* -1 (cbrt (* x (pow (sqrt -1) 2))))> |
#<alt (* -1 (cbrt (* x (pow (sqrt -1) 2))))> |
#<alt (* -1 (cbrt (* x (pow (sqrt -1) 2))))> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (* -1/9 (cbrt (/ 1 (pow x 5))))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (* 1/3 (cbrt (/ 1 (pow x 2))))> |
#<alt (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))> |
#<alt (* -1/9 (cbrt x))> |
#<alt (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))> |
#<alt (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))> |
#<alt (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4))))> |
#<alt (* 1/3 (cbrt (pow x 4)))> |
#<alt (* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* 1/3 (cbrt (pow x 4)))> |
#<alt (* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (/ 1 (pow x 2)))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (cbrt (pow x 4))> |
#<alt (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 (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)))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | x | @ | 0 | (pow x 1/6) |
| 11.0ms | x | @ | -inf | (pow x 1/6) |
| 8.0ms | x | @ | inf | (pow x 1/6) |
| 2.0ms | x | @ | -inf | (pow x 1/3) |
| 1.0ms | x | @ | 0 | (pow x 1/3) |
| 1× | egg-herbie |
| 8 790× | lower-fma.f64 |
| 8 790× | lower-fma.f32 |
| 4 102× | lower-*.f64 |
| 4 102× | lower-*.f32 |
| 2 278× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 232 | 2668 |
| 1 | 624 | 2570 |
| 2 | 2071 | 2562 |
| 3 | 4416 | 2541 |
| 4 | 7626 | 2541 |
| 0 | 8220 | 2418 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -10/243 (cbrt (/ 1 (pow x 11)))) |
(/ (+ (* -10/243 (cbrt x)) (* 5/81 (cbrt (pow x 4)))) (pow x 4)) |
(/ (+ (* -10/243 (cbrt x)) (* x (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))))) (pow x 4)) |
(/ (+ (* -10/243 (cbrt x)) (* x (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 4)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* -10/243 (cbrt (/ 1 (pow x 11)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 5/81 (cbrt (/ 1 (pow x 2))))) x)) (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))) x)) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(* -10/243 (cbrt (/ 1 (pow x 5)))) |
(/ (+ (* -10/243 (cbrt x)) (* 5/81 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -10/243 (cbrt x)) (* x (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))))) (pow x 2)) |
(/ (+ (* -10/243 (cbrt x)) (* x (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 2)) |
(* 1/3 (cbrt (pow x 4))) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* -10/243 (cbrt (/ 1 (pow x 11)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))) |
(* 1/3 (cbrt (pow x 4))) |
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 5/81 (cbrt (/ 1 (pow x 2))))) x)) (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))) x)) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(/ 1 (pow x 5)) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(+ 1 (cbrt x)) |
(+ 1 (+ (cbrt x) (* 1/3 x))) |
(+ 1 (+ (cbrt x) (* x (+ 1/3 (* -1/9 x))))) |
(+ 1 (+ (cbrt x) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))) |
(* 2 (cbrt x)) |
(* x (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2)))))) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2))))))) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2)))))))) |
(* -2 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* 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))) (* 2 (* (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))) (* 2 (* (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 (cbrt x)) |
(+ 1 (+ (cbrt x) (* 1/3 x))) |
(+ 1 (+ (cbrt x) (* x (+ 1/3 (* -1/9 x))))) |
(+ 1 (+ (cbrt x) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))) |
(* 2 (cbrt x)) |
(* x (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2)))))) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2))))))) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2)))))))) |
(* -2 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* 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))) (* 2 (* (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))) (* 2 (* (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 |
(+ 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 (/ 1 (pow x 2))) (cbrt -1)) (cbrt (/ (pow (sqrt -1) 2) (pow x 2)))))) |
(* -1 (* x (- (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ (pow (sqrt -1) 2) (pow x 2)))))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ (pow (sqrt -1) 2) (pow x 2)))))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ (pow (sqrt -1) 2) (pow x 2)))))) |
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 (pow (sqrt -1) 2)))) |
(* -1 (cbrt (* x (pow (sqrt -1) 2)))) |
(* -1 (cbrt (* x (pow (sqrt -1) 2)))) |
(* -1 (cbrt (* x (pow (sqrt -1) 2)))) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(* -1/9 (cbrt (/ 1 (pow x 5)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(* -1/9 (cbrt x)) |
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) |
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) |
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) |
(* 1/3 (cbrt (pow x 4))) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* 1/3 (cbrt (pow x 4))) |
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(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))) |
(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 |
|---|
(* -10/243 (cbrt (/ 1 (pow x 11)))) |
(*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))))) |
(/ (+ (* -10/243 (cbrt x)) (* 5/81 (cbrt (pow x 4)))) (pow x 4)) |
(/.f64 (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 x))) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/ (+ (* -10/243 (cbrt x)) (* x (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))))) (pow x 4)) |
(/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 x #s(literal -1/9 binary64)) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 5/81 binary64) #s(literal -10/243 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/ (+ (* -10/243 (cbrt x)) (* x (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 4)) |
(/.f64 (fma.f64 (cbrt.f64 x) (fma.f64 x #s(literal 5/81 binary64) #s(literal -10/243 binary64)) (*.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* -10/243 (cbrt (/ 1 (pow x 11)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))) |
(fma.f64 #s(literal -10/243 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 5 binary64)))) (fma.f64 #s(literal 5/81 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) (*.f64 x x))))))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 5/81 (cbrt (/ 1 (pow x 2))))) x)) (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))) x)) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 10/243 binary64)))) x)) x)) |
(* -10/243 (cbrt (/ 1 (pow x 5)))) |
(*.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(/ (+ (* -10/243 (cbrt x)) (* 5/81 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 #s(literal -10/243 binary64) (cbrt.f64 x))) (*.f64 x x)) |
(/ (+ (* -10/243 (cbrt x)) (* x (+ (* -1/9 (cbrt (pow x 4))) (* 5/81 (cbrt x))))) (pow x 2)) |
(/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 x #s(literal -1/9 binary64)) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 5/81 binary64) #s(literal -10/243 binary64)))) (*.f64 x x)) |
(/ (+ (* -10/243 (cbrt x)) (* x (+ (* 5/81 (cbrt x)) (* x (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))))))) (pow x 2)) |
(/.f64 (fma.f64 (cbrt.f64 x) (fma.f64 x #s(literal 5/81 binary64) #s(literal -10/243 binary64)) (*.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))) (*.f64 x x)) |
(* 1/3 (cbrt (pow x 4))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/3 binary64)) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 5/81 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) (*.f64 x x))))))) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* -10/243 (cbrt (/ 1 (pow x 11)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -10/243 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 5 binary64)))) (fma.f64 #s(literal 5/81 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) (*.f64 x x)))))))) |
(* 1/3 (cbrt (pow x 4))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/3 binary64)) |
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -5/81 (cbrt (/ 1 (pow x 5))))) x)) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(fma.f64 x (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/9 binary64) (*.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) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 5/81 (cbrt (/ 1 (pow x 2))))) x)) (* -1/9 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))) x)) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(fma.f64 x (fma.f64 #s(literal 1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 10/243 binary64)))) x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(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 (cbrt x)) |
(+.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(+ 1 (+ (cbrt x) (* 1/3 x))) |
(+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) (cbrt.f64 x))) |
(+ 1 (+ (cbrt x) (* x (+ 1/3 (* -1/9 x))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/9 binary64) #s(literal 1/3 binary64)) (cbrt.f64 x))) |
(+ 1 (+ (cbrt x) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))) |
(+.f64 (cbrt.f64 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)) #s(literal 1 binary64))) |
(* 2 (cbrt x)) |
(*.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(* x (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 2 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2))))))) |
(*.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 2 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))))) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2)))))))) |
(*.f64 x (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) #s(literal 5/81 binary64) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 2 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))) |
(* -2 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* 2 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #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))) (* 2 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(fma.f64 x (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -2 binary64))) (/.f64 (fma.f64 #s(literal -1/9 binary64) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 x (neg.f64 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))) (* 2 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(fma.f64 x (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -2 binary64))) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 5/81 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (*.f64 #s(literal 1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x))) |
(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 (cbrt x)) |
(+.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(+ 1 (+ (cbrt x) (* 1/3 x))) |
(+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) (cbrt.f64 x))) |
(+ 1 (+ (cbrt x) (* x (+ 1/3 (* -1/9 x))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/9 binary64) #s(literal 1/3 binary64)) (cbrt.f64 x))) |
(+ 1 (+ (cbrt x) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))) |
(+.f64 (cbrt.f64 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)) #s(literal 1 binary64))) |
(* 2 (cbrt x)) |
(*.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(* x (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 2 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2))))))) |
(*.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 2 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))))) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2)))))))) |
(*.f64 x (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) #s(literal 5/81 binary64) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 2 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))) |
(* -2 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* 2 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #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))) (* 2 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(fma.f64 x (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -2 binary64))) (/.f64 (fma.f64 #s(literal -1/9 binary64) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 x (neg.f64 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))) (* 2 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(fma.f64 x (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -2 binary64))) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 5/81 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (*.f64 #s(literal 1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x))) |
(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 |
#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 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) #s(literal 5/81 binary64) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (cbrt.f64 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))))) |
(neg.f64 (fma.f64 x (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/9 binary64) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 x x)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(neg.f64 (fma.f64 x (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (cbrt.f64 (*.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 #s(literal -5/81 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x)))) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(-.f64 (fma.f64 x (fma.f64 x #s(literal -1/9 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/81 binary64) #s(literal -1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/3 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 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/3 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 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)))) (fma.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))))) (*.f64 x x)) |
(* -1 (* x (- (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (cbrt (/ (pow (sqrt -1) 2) (pow x 2)))))) |
(*.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 (* x (- (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ (pow (sqrt -1) 2) (pow x 2)))))) |
(*.f64 x (-.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))) (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))))))) |
(* -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))) (cbrt (/ (pow (sqrt -1) 2) (pow x 2)))))) |
(fma.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)))) (/.f64 (fma.f64 #s(literal -1/9 binary64) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 x (neg.f64 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))) (cbrt (/ (pow (sqrt -1) 2) (pow x 2)))))) |
(fma.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)))) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 5/81 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (*.f64 #s(literal 1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x x))) |
1 |
#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 (pow (sqrt -1) 2)))) |
(neg.f64 (cbrt.f64 (neg.f64 x))) |
(* -1 (cbrt (* x (pow (sqrt -1) 2)))) |
(neg.f64 (cbrt.f64 (neg.f64 x))) |
(* -1 (cbrt (* x (pow (sqrt -1) 2)))) |
(neg.f64 (cbrt.f64 (neg.f64 x))) |
(* -1 (cbrt (* x (pow (sqrt -1) 2)))) |
(neg.f64 (cbrt.f64 (neg.f64 x))) |
(pow x 4) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
(pow x 4) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
(pow x 4) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
(pow x 4) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
(pow x 4) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
(pow x 4) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
(pow x 4) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
(pow x 4) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
(pow x 4) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
(pow x 4) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
(pow x 4) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
(pow x 4) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
(* -1/9 (cbrt (/ 1 (pow x 5)))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.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)))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(* -1/9 (cbrt x)) |
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) |
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) |
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) |
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) |
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) |
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) |
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) |
(* 1/3 (cbrt (pow x 4))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/3 binary64)) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(* 1/3 (cbrt (pow x 4))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/3 binary64)) |
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) |
(cbrt (pow x 4)) |
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x 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) |
(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× | batch-egg-rewrite |
| 4 578× | lower-fma.f32 |
| 4 570× | lower-fma.f64 |
| 3 816× | lower-*.f32 |
| 3 810× | lower-*.f64 |
| 3 096× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 175 |
| 0 | 75 | 141 |
| 1 | 274 | 135 |
| 2 | 1690 | 135 |
| 0 | 8439 | 123 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 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)))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 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))) |
(pow.f64 x #s(literal 1/3 binary64)) |
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(+.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(pow.f64 x #s(literal 1/6 binary64)) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
(/.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)) |
(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))) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
(sqrt.f64 x) |
(cbrt.f64 x) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 100/59049 binary64) (pow.f64 x #s(literal -10/3 binary64))) (-.f64 (*.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64))) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))))) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64))) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))))) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))) (/.f64 (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))))) (neg.f64 (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 100/59049 binary64) (pow.f64 x #s(literal -10/3 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64))) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))))))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64))) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))))))) |
(neg.f64 (/.f64 (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))))) (neg.f64 (*.f64 x x)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))))) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))))) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))))))))) |
(/.f64 (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))))) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))))) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))))) (neg.f64 (*.f64 x x))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1000/14348907 binary64) (pow.f64 (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))) #s(literal 3 binary64))) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))) (-.f64 (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))) (*.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)))) (*.f64 #s(literal 100/59049 binary64) (pow.f64 x #s(literal -10/3 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 100/59049 binary64) (pow.f64 x #s(literal -10/3 binary64))) (pow.f64 (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))) #s(literal 2 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64))) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))))))) |
(/.f64 (/.f64 (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))))) x) x) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1000/14348907 binary64) (pow.f64 (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))) (-.f64 (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))) (*.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)))) (*.f64 #s(literal 100/59049 binary64) (pow.f64 x #s(literal -10/3 binary64)))) (*.f64 x x))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1000/14348907 binary64) (pow.f64 (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))) (-.f64 (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))) (*.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)))) (*.f64 #s(literal 100/59049 binary64) (pow.f64 x #s(literal -10/3 binary64)))) (neg.f64 (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1000/14348907 binary64) (pow.f64 (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))) (-.f64 (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))) (*.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)))) (*.f64 #s(literal 100/59049 binary64) (pow.f64 x #s(literal -10/3 binary64)))) x)) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 100/59049 binary64) (pow.f64 x #s(literal -10/3 binary64))) (pow.f64 (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64))) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))))) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 100/59049 binary64) (pow.f64 x #s(literal -10/3 binary64))) (pow.f64 (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64))) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))))) (neg.f64 (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 100/59049 binary64) (pow.f64 x #s(literal -10/3 binary64))) (pow.f64 (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 (*.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64))) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))))) x)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))))))) (neg.f64 (neg.f64 (*.f64 x x)))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))))) x)) (neg.f64 x)) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1000/14348907 binary64) (pow.f64 (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))) #s(literal 3 binary64)))) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))) (-.f64 (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))) (*.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64)))) (*.f64 #s(literal 100/59049 binary64) (pow.f64 x #s(literal -10/3 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 100/59049 binary64) (pow.f64 x #s(literal -10/3 binary64))) (pow.f64 (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -10/243 binary64) (pow.f64 x #s(literal -5/3 binary64))) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (fma.f64 #s(literal 5/81 binary64) (pow.f64 x #s(literal -2/3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))))))) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/27 binary64) (*.f64 x #s(literal -1/729 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64) (-.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8/3 binary64))) (*.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8/3 binary64))) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64)))) (neg.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64)) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8/3 binary64)))) (-.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8/3 binary64))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64)))) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/27 binary64) (*.f64 x #s(literal -1/729 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (-.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8/3 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8/3 binary64))) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64)) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8/3 binary64))))) (neg.f64 (-.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (-.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8/3 binary64)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/27 binary64) (*.f64 x #s(literal -1/729 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) (-.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8/3 binary64))) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/27 binary64) (*.f64 x #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (-.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)))) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8/3 binary64)))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 8/3 binary64))) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/3 binary64)) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))))) |
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 4/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 2/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 x) (*.f64 #s(literal 1/3 binary64) (log.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 x) (*.f64 #s(literal 1/3 binary64) (log.f64 x))) (fma.f64 #s(literal 1/3 binary64) (log.f64 x) (*.f64 #s(literal 1/3 binary64) (log.f64 x))))) |
(cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) |
(pow.f64 x #s(literal 4/3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 8 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 8/3 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) |
(*.f64 x (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) x) |
(*.f64 (pow.f64 x #s(literal 4/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 4/3 binary64))) |
(*.f64 (pow.f64 x #s(literal 4/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 4/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 4/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4/3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 x) (*.f64 #s(literal 1/3 binary64) (log.f64 x))) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 x) (*.f64 #s(literal 1/3 binary64) (log.f64 x))))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 (neg.f64 (neg.f64 (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64)))) |
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (neg.f64 (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 (cbrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (cbrt.f64 (neg.f64 (*.f64 x x))))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (neg.f64 (cbrt.f64 x))) |
(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 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -4 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -2 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 -1/3 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/3 binary64))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 4/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 2/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 x) (*.f64 #s(literal 1/3 binary64) (log.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 x) (*.f64 #s(literal 1/3 binary64) (log.f64 x))) (fma.f64 #s(literal 1/3 binary64) (log.f64 x) (*.f64 #s(literal 1/3 binary64) (log.f64 x))))) |
(cbrt.f64 (*.f64 x (*.f64 x (*.f64 x x)))) |
(pow.f64 x #s(literal 4/3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 8 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 8/3 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) |
(*.f64 x (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) x) |
(*.f64 (pow.f64 x #s(literal 4/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 4/3 binary64))) |
(*.f64 (pow.f64 x #s(literal 4/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 x #s(literal 2/3 binary64)) (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 4/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 4/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 4/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4/3 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 x)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal 3/2 binary64))) |
(exp.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 x) (*.f64 #s(literal 1/6 binary64) (log.f64 x)))) |
(exp.f64 (fma.f64 #s(literal 1/6 binary64) (log.f64 x) (*.f64 #s(literal 1/3 binary64) (log.f64 x)))) |
(fabs.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
(cbrt.f64 (*.f64 x (sqrt.f64 x))) |
(pow.f64 x #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 6 binary64)) |
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) |
(pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 2/3 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 2/3 binary64))) (sqrt.f64 (cbrt.f64 x))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) |
(exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/6 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(cbrt.f64 x) |
(pow.f64 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)) |
(pow.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 4 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (log.f64 x))) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) |
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(*.f64 (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 (/.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/12 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/12 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2/3 binary64))) |
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2/3 binary64))) (cbrt.f64 (cbrt.f64 x))) |
Compiled 6 838 to 952 computations (86.1% saved)
27 alts after pruning (15 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 491 | 4 | 495 |
| Fresh | 1 | 11 | 12 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 7 | 7 |
| Total | 492 | 27 | 519 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 5.8% | (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))) |
| 5.9% | (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (cbrt.f64 x))) | |
| ✓ | 8.2% | (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))) |
| 7.3% | (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))))))) | |
| 10.8% | (/.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)))))) | |
| 17.7% | (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (pow.f64 x #s(literal 2/3 binary64)))) | |
| ✓ | 8.2% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
| 8.3% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/3 binary64))) | |
| 5.7% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) | |
| 9.0% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| ✓ | 8.2% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 5.7% | (-.f64 #s(approx (pow (+ x 1) 1/3) (cbrt.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) | |
| 4.3% | (-.f64 #s(approx (/ 1 (cbrt (/ 1 (+ x 1)))) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x)) | |
| ✓ | 5.4% | (+.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
| 5.4% | (+.f64 (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 4 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) | |
| 4.6% | (+.f64 (pow.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) | |
| 5.4% | (+.f64 (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) | |
| ✓ | 5.4% | (+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
| ✓ | 5.4% | (+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
| 24.0% | #s(approx (- (pow (+ x 1) 1/3) (pow (sqrt x) 2/3)) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))) | |
| ✓ | 24.0% | #s(approx (- (/ 1 (cbrt (/ 1 (+ x 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))) |
| 24.0% | #s(approx (- (cbrt (+ x 1)) (pow (sqrt x) 2/3)) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))) | |
| ✓ | 24.9% | #s(approx (- (cbrt (+ x 1)) (pow (sqrt x) 2/3)) (/.f64 (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))))) (*.f64 x x))) |
| 21.1% | #s(approx (- (cbrt (+ x 1)) (pow (sqrt x) 2/3)) (*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))))) (neg.f64 x))) | |
| ✓ | 24.9% | #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))) |
| ✓ | 24.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (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))) |
| ✓ | 49.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
Compiled 1 159 to 472 computations (59.3% saved)
| Inputs |
|---|
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 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 (pow.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 #s(approx (/ 1 (cbrt (/ 1 (+ x 1)))) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x)) |
(+.f64 (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(+.f64 (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 4 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(+.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) (cbrt.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
(-.f64 #s(approx (pow (+ x 1) 1/3) (cbrt.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) (cbrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (pow.f64 x #s(literal 2/3 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
(-.f64 (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 (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)) (pow (sqrt x) 2/3)) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x 1) 1/3) (pow (sqrt x) 2/3)) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(-.f64 (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)))) |
(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 (+.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 -1/3 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (cbrt.f64 x))) |
#s(approx (- (/ 1 (cbrt (/ 1 (+ x 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 (+.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)))))) |
#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))) |
(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x)) |
(-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) |
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (fma.f64 (cbrt.f64 (*.f64 x (sqrt.f64 x))) (cbrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 (*.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)) |
#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)) (pow (sqrt x) 2/3)) (/.f64 (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 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 (- (/ 1 (cbrt (/ 1 (+ x 1)))) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (pow (sqrt x) 2/3)) (*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))))) (neg.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))))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (/.f64 #s(literal 10/243 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 x x))) |
| Outputs |
|---|
(/.f64 (+.f64 (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)))))) |
#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 binary64) (fma.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (pow.f64 x #s(literal 2/3 binary64)))) |
2 calls:
| 14.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.4% | 3 | x |
| 52.0% | 2 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 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 (pow.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 #s(approx (/ 1 (cbrt (/ 1 (+ x 1)))) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x)) |
(+.f64 (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(+.f64 (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 4 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(+.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) (cbrt.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
(-.f64 #s(approx (pow (+ x 1) 1/3) (cbrt.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) (cbrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (pow.f64 x #s(literal 2/3 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) |
(-.f64 (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 (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)) (pow (sqrt x) 2/3)) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x 1) 1/3) (pow (sqrt x) 2/3)) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal -1/9 binary64))) (*.f64 x x))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(-.f64 (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)))) |
(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 (+.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 -1/3 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (cbrt.f64 x))) |
#s(approx (- (/ 1 (cbrt (/ 1 (+ x 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))) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (pow.f64 x #s(literal 2/3 binary64)))) |
1 calls:
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.2% | 3 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 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 (pow.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 #s(approx (/ 1 (cbrt (/ 1 (+ x 1)))) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x)) |
(+.f64 (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(+.f64 (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 4 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(+.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) (cbrt.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
(-.f64 #s(approx (pow (+ x 1) 1/3) (cbrt.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64))) (cbrt.f64 x)) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
2 calls:
| 6.0ms | x |
| 5.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.8% | 2 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 50.8% | 2 | x |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 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 (pow.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 #s(approx (/ 1 (cbrt (/ 1 (+ x 1)))) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x)) |
(+.f64 (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(+.f64 (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 4 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(+.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 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))))) |
2 calls:
| 4.0ms | x |
| 4.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.2% | 1 | x |
| 49.2% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 10 to 7 computations (30% saved)
Total -2.3b remaining (-3.8%)
Threshold costs -2.3b (-3.8%)
| Inputs |
|---|
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 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 (pow.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 #s(approx (/ 1 (cbrt (/ 1 (+ x 1)))) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x)) |
(+.f64 (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
| Outputs |
|---|
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.4% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 5.4% | 1 | x |
Compiled 10 to 7 computations (30% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3226730894467512e+154 | 5.213723850245928e+154 |
| 0.0ms | 4166443133005.5034 | 723758769124376.1 |
Compiled 11 to 10 computations (9.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3226730894467512e+154 | 5.213723850245928e+154 |
| 0.0ms | 7941086.948092476 | 255324466.15156817 |
Compiled 11 to 10 computations (9.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7941086.948092476 | 255324466.15156817 |
Compiled 11 to 10 computations (9.1% saved)
| 1× | egg-herbie |
| 206× | unsub-neg_binary64 |
| 120× | neg-mul-1_binary64 |
| 64× | distribute-neg-in_binary64 |
| 62× | distribute-lft-neg-in_binary64 |
| 56× | neg-sub0_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 176 |
| 1 | 66 | 175 |
| 2 | 94 | 175 |
| 3 | 125 | 174 |
| 4 | 190 | 174 |
| 5 | 292 | 174 |
| 6 | 322 | 174 |
| 7 | 377 | 174 |
| 8 | 439 | 174 |
| 9 | 460 | 174 |
| 10 | 485 | 174 |
| 11 | 500 | 174 |
| 12 | 501 | 174 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal 5000000000000 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)))))) (if (<=.f64 x #s(literal 20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) #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 binary64) (fma.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (pow.f64 x #s(literal 2/3 binary64)))))) |
(if (<=.f64 x #s(literal 10000000 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/3 binary64))) (if (<=.f64 x #s(literal 20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) #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 binary64) (fma.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (pow.f64 x #s(literal 2/3 binary64)))))) |
(if (<=.f64 x #s(literal 10000000 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/3 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 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
| Outputs |
|---|
(if (<=.f64 x #s(literal 5000000000000 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)))))) (if (<=.f64 x #s(literal 20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) #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 binary64) (fma.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (pow.f64 x #s(literal 2/3 binary64)))))) |
(if (<=.f64 x #s(literal 5000000000000 binary64)) (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))))) (if (<=.f64 x #s(literal 20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) #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 binary64) (fma.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (pow.f64 x #s(literal 2/3 binary64)))))) |
(if (<=.f64 x #s(literal 10000000 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/3 binary64))) (if (<=.f64 x #s(literal 20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) #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 binary64) (fma.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (pow.f64 x #s(literal 2/3 binary64)))))) |
(if (<=.f64 x #s(literal 10000000 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/3 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 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
| 8 930× | lower-fma.f32 |
| 8 928× | lower-fma.f64 |
| 6 306× | lower-fma.f64 |
| 6 306× | lower-fma.f32 |
| 5 430× | lower-fma.f64 |
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 |
| 0 | 26 | 113 |
| 0 | 47 | 88 |
| 1 | 166 | 82 |
| 2 | 1043 | 82 |
| 0 | 9210 | 78 |
| 0 | 43 | 223 |
| 0 | 78 | 197 |
| 1 | 295 | 171 |
| 2 | 2233 | 171 |
| 0 | 8363 | 155 |
| 0 | 42 | 175 |
| 0 | 75 | 141 |
| 1 | 274 | 135 |
| 2 | 1690 | 135 |
| 0 | 8439 | 123 |
| 0 | 6 | 16 |
| 0 | 10 | 16 |
| 1 | 43 | 16 |
| 2 | 282 | 16 |
| 3 | 3101 | 16 |
| 0 | 9092 | 16 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 246 to 127 computations (48.4% saved)
Compiled 304 to 102 computations (66.4% saved)
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