
Time bar (total: 9.0s)
| 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)
| 856.0ms | 6 333× | 1 | valid |
| 397.0ms | 1 659× | 2 | valid |
| 16.0ms | 264× | 0 | valid |
ival-cbrt: 279.0ms (29.2% of total)adjust: 190.0ms (19.9% of total)const: 171.0ms (17.9% of total)ival-add: 124.0ms (13% of total)ival-sub: 92.0ms (9.6% of total)ival->: 50.0ms (5.2% of total)ival-<: 25.0ms (2.6% of total)ival-and: 12.0ms (1.3% of total)exact: 8.0ms (0.8% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 255 | 0 | - | 1 | (15.830854595774023) | (-.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 |
| 52.0ms | 416× | 1 | valid |
| 15.0ms | 84× | 2 | valid |
| 1.0ms | 12× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-cbrt: 27.0ms (56.1% of total)adjust: 9.0ms (18.7% of total)ival-add: 6.0ms (12.5% of total)ival-sub: 5.0ms (10.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% 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)) |
(-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 6.3% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 7 to 6 computations (14.3% 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)) |
(-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(cbrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
x |
#s(literal 1 binary64) |
(cbrt.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.48054511722130433 | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.4938851074528623 | (cbrt.f64 x) | |
| accuracy | 59.92808078709334 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 20.0ms | 208× | 1 | valid |
| 6.0ms | 42× | 2 | valid |
| 0.0ms | 6× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-cbrt: 7.0ms (40.2% of total)adjust: 5.0ms (28.7% of total)ival-add: 3.0ms (17.2% of total)ival-sub: 2.0ms (11.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/3 x)) (taylor 0 x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1/3 (* -1/9 x)))) (taylor 0 x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (taylor 0 x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) (taylor inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) (taylor inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(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)) (taylor inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) (taylor inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) (taylor inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(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)))))))) (taylor inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) (taylor -inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(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)) (taylor -inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(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)) (taylor -inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) (taylor -inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(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))))) (taylor -inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(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))))) (taylor -inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | -inf | ((- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (+ x 1) (cbrt x)) |
| 4.0ms | x | @ | inf | ((- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (+ x 1) (cbrt x)) |
| 2.0ms | x | @ | 0 | ((- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (+ x 1) (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 | 902 | 564 |
| 3 | 2613 | 561 |
| 4 | 5974 | 561 |
| 0 | 8120 | 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 |
(+ 1 (* 1/3 x)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(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)) |
(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)))))))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(* 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 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 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 #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 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/3 x)) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (*.f64 x x)) |
(cbrt x) |
(cbrt.f64 x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1/9 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) 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 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) #s(literal 5/81 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1/9 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))) x) |
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)) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(/ (+ (* 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 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 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 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) #s(literal 5/81 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (*.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 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 10/243 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))) (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (*.f64 (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 16 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x)) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) 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 (fma.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64)))) 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 (neg.f64 x) (fma.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (*.f64 (/.f64 #s(literal -5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 7 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 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)) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x)) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x)) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x)) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x)) |
| 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 |
|---|
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Compiled 7 636 to 1 337 computations (82.5% saved)
25 alts after pruning (24 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 379 | 24 | 403 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 379 | 25 | 404 |
| Status | Accuracy | Program |
|---|---|---|
| 5.4% | (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) | |
| ▶ | 4.3% | (-.f64 (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) (cbrt.f64 x)) |
| 5.0% | (-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x)) | |
| 4.5% | (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x)) | |
| 6.4% | (-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| ▶ | 6.4% | (-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
| 7.4% | (-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| 6.2% | (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| 5.5% | (-.f64 (cbrt.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| 4.3% | (-.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 x))) (cbrt.f64 x)) | |
| ▶ | 7.3% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
| 7.3% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) | |
| 6.3% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) | |
| 7.3% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| 5.6% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x)))) | |
| 6.7% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/6 binary64)))) | |
| ✓ | 6.3% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 5.6% | (-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x)) | |
| 4.1% | (-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x)) | |
| ▶ | 1.8% | (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
| 4.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) | |
| 20.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x))) | |
| 20.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) | |
| 20.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (*.f64 x x))) | |
| ▶ | 51.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
Compiled 575 to 466 computations (19% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| cost-diff | 19456 | (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (log1p.f64 x) | |
| cost-diff | 0 | (neg.f64 (log1p.f64 x)) | |
| cost-diff | 0 | (exp.f64 (neg.f64 (log1p.f64 x))) | |
| cost-diff | 0 | (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) | |
| cost-diff | 6528 | (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (cbrt.f64 x) | |
| cost-diff | 0 | #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) x) x) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) | |
| cost-diff | 320 | (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) |
| 1 924× | lower-fma.f32 |
| 1 922× | lower-fma.f64 |
| 1 920× | distribute-lft-in |
| 1 908× | distribute-rgt-in |
| 1 856× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 155 |
| 0 | 55 | 140 |
| 1 | 80 | 140 |
| 2 | 101 | 134 |
| 3 | 144 | 134 |
| 4 | 228 | 134 |
| 5 | 447 | 134 |
| 6 | 583 | 134 |
| 7 | 690 | 134 |
| 8 | 801 | 134 |
| 9 | 920 | 134 |
| 10 | 1982 | 134 |
| 11 | 2617 | 134 |
| 12 | 2996 | 134 |
| 13 | 3320 | 134 |
| 14 | 3448 | 134 |
| 15 | 3555 | 134 |
| 16 | 5157 | 134 |
| 17 | 5967 | 134 |
| 18 | 6028 | 134 |
| 19 | 6072 | 134 |
| 20 | 6107 | 134 |
| 21 | 6415 | 134 |
| 22 | 6601 | 134 |
| 23 | 6670 | 134 |
| 24 | 6714 | 134 |
| 25 | 6746 | 134 |
| 26 | 6766 | 134 |
| 27 | 6992 | 134 |
| 28 | 7088 | 134 |
| 29 | 7088 | 134 |
| 30 | 7088 | 134 |
| 31 | 7088 | 134 |
| 32 | 7088 | 130 |
| 33 | 7515 | 130 |
| 34 | 7865 | 130 |
| 0 | 8026 | 126 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 1/3 binary64) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(cbrt.f64 x) |
x |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#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)) |
#s(literal 1/6 binary64) |
#s(literal 2 binary64) |
(-.f64 (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) (cbrt.f64 x)) |
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) |
(exp.f64 (neg.f64 (log1p.f64 x))) |
(neg.f64 (log1p.f64 x)) |
(log1p.f64 x) |
x |
#s(literal -1/3 binary64) |
(cbrt.f64 x) |
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
(cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(cbrt.f64 x) |
x |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 1/3 binary64) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(cbrt.f64 x) |
x |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (cbrt.f64 x)) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(cbrt.f64 (-.f64 x #s(literal -1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
#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)) |
#s(literal 1/6 binary64) |
#s(literal 2 binary64) |
(-.f64 (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) (cbrt.f64 x)) |
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) (cbrt.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) |
(exp.f64 (neg.f64 (log1p.f64 x))) |
(neg.f64 (log1p.f64 x)) |
(log1p.f64 x) |
x |
#s(literal -1/3 binary64) |
(cbrt.f64 x) |
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (cbrt.f64 x)) |
(cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) |
(cbrt.f64 (-.f64 x #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(cbrt.f64 x) |
x |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.45150375976844204 | (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) | |
| accuracy | 0.47663886722130433 | (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) | |
| accuracy | 0.4899788574528623 | (cbrt.f64 x) | |
| accuracy | 59.65972192220304 | (-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| accuracy | 0.4899788574528623 | (cbrt.f64 x) | |
| accuracy | 5.108819522096035 | (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) | |
| accuracy | 5.790440209720016 | (exp.f64 (neg.f64 (log1p.f64 x))) | |
| accuracy | 59.65972192220304 | (-.f64 (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) (cbrt.f64 x)) | |
| accuracy | 0.47663886722130433 | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.50390625 | (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) | |
| accuracy | 4.161713367450041 | (pow.f64 x #s(literal 1/6 binary64)) | |
| accuracy | 59.65972192220304 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) | |
| accuracy | 0.4899788574528623 | (cbrt.f64 x) | |
| accuracy | 58.41963479583699 | #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) | |
| accuracy | 59.65972192220304 | (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) | |
| accuracy | 0.1015625 | (/.f64 (/.f64 #s(literal 1 binary64) x) x) | |
| accuracy | 0.34375 | (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) | |
| accuracy | 0.5590530436709857 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) | |
| accuracy | 30.134538464035007 | (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
| 153.0ms | 207× | 1 | valid |
| 61.0ms | 42× | 2 | valid |
| 4.0ms | 3× | 5 | exit |
| 1.0ms | 4× | 0 | valid |
Compiled 157 to 31 computations (80.3% saved)
ival-pow: 47.0ms (26.3% of total)const: 24.0ms (13.4% of total)adjust: 18.0ms (10.1% of total)ival-exp: 18.0ms (10.1% of total)ival-cbrt: 16.0ms (8.9% of total)ival-log1p: 14.0ms (7.8% of total)ival-pow2: 11.0ms (6.1% of total)ival-sub: 10.0ms (5.6% of total)ival-add: 6.0ms (3.4% of total)ival-mult: 5.0ms (2.8% of total)ival-div: 3.0ms (1.7% of total)ival-fabs: 3.0ms (1.7% of total)ival-copysign: 3.0ms (1.7% of total)ival-neg: 2.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (patch (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ()) |
#s(alt (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) (patch (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (exp.f64 (neg.f64 (log1p.f64 x))) (patch (exp.f64 (neg.f64 (log1p.f64 x))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (log1p.f64 x)) (patch (neg.f64 (log1p.f64 x)) #<representation binary64>) () ()) |
#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (patch (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (patch (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 1/6 binary64)) (patch (pow.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) (cbrt.f64 x)) (patch (-.f64 (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) (cbrt.f64 x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (patch (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (patch (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (patch (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (patch (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/3 x)) (taylor 0 x) (#s(alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1/3 (* -1/9 x)))) (taylor 0 x) (#s(alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (taylor 0 x) (#s(alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor 0 x) (#s(alt (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor 0 x) (#s(alt (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor 0 x) (#s(alt (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor 0 x) (#s(alt (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/3 x)) (taylor 0 x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1/3 (* -1/9 x)))) (taylor 0 x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (taylor 0 x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) (patch (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/3 x)) (taylor 0 x) (#s(alt (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) (patch (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1/3 (* -1/9 x)))) (taylor 0 x) (#s(alt (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) (patch (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (taylor 0 x) (#s(alt (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) (patch (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (log1p.f64 x))) (patch (exp.f64 (neg.f64 (log1p.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (log1p.f64 x))) (patch (exp.f64 (neg.f64 (log1p.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- x 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (log1p.f64 x))) (patch (exp.f64 (neg.f64 (log1p.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (log1p.f64 x))) (patch (exp.f64 (neg.f64 (log1p.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 (log1p.f64 x)) (patch (neg.f64 (log1p.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 1/2 x) 1)) (taylor 0 x) (#s(alt (neg.f64 (log1p.f64 x)) (patch (neg.f64 (log1p.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (+ 1/2 (* -1/3 x))) 1)) (taylor 0 x) (#s(alt (neg.f64 (log1p.f64 x)) (patch (neg.f64 (log1p.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (+ 1/2 (* x (- (* 1/4 x) 1/3)))) 1)) (taylor 0 x) (#s(alt (neg.f64 (log1p.f64 x)) (patch (neg.f64 (log1p.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/2 x))) (taylor 0 x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (taylor 0 x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) (taylor 0 x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (+ (cbrt (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))))) (* 1/3 (* (pow (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 7)) 1/9) (/ 1 x)))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) (cbrt.f64 x)) (patch (-.f64 (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (cbrt (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (* -1/3 (pow (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 7)) 1/9)) (* 1/9 (* (pow (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 11)) 1/9) (/ 1 x)))) x))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) (cbrt.f64 x)) (patch (-.f64 (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | x | @ | 0 | ((* (cbrt (/ (/ 1 x) x)) 1/3) (- (cbrt (+ x 1)) (cbrt x)) (/ (/ 1 x) x) (/ 1 x) (- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (cbrt x) (pow (pow x 1/6) 2) (- (cbrt (+ x 1)) (pow (pow x 1/6) 2)) (cbrt (+ x 1)) (+ x 1) (pow (exp (neg (log (+ 1 x)))) -1/3) (exp (neg (log (+ 1 x)))) (neg (log (+ 1 x))) (log (+ 1 x)) (+ (* (pow (cbrt x) 2) (cbrt x)) 1) (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (pow (cbrt x) 2) (cbrt (/ (/ 1 x) x)) (pow x 1/6) (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x))) |
| 35.0ms | x | @ | -inf | ((* (cbrt (/ (/ 1 x) x)) 1/3) (- (cbrt (+ x 1)) (cbrt x)) (/ (/ 1 x) x) (/ 1 x) (- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (cbrt x) (pow (pow x 1/6) 2) (- (cbrt (+ x 1)) (pow (pow x 1/6) 2)) (cbrt (+ x 1)) (+ x 1) (pow (exp (neg (log (+ 1 x)))) -1/3) (exp (neg (log (+ 1 x)))) (neg (log (+ 1 x))) (log (+ 1 x)) (+ (* (pow (cbrt x) 2) (cbrt x)) 1) (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (pow (cbrt x) 2) (cbrt (/ (/ 1 x) x)) (pow x 1/6) (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x))) |
| 16.0ms | x | @ | inf | ((* (cbrt (/ (/ 1 x) x)) 1/3) (- (cbrt (+ x 1)) (cbrt x)) (/ (/ 1 x) x) (/ 1 x) (- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (cbrt x) (pow (pow x 1/6) 2) (- (cbrt (+ x 1)) (pow (pow x 1/6) 2)) (cbrt (+ x 1)) (+ x 1) (pow (exp (neg (log (+ 1 x)))) -1/3) (exp (neg (log (+ 1 x)))) (neg (log (+ 1 x))) (log (+ 1 x)) (+ (* (pow (cbrt x) 2) (cbrt x)) 1) (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (pow (cbrt x) 2) (cbrt (/ (/ 1 x) x)) (pow x 1/6) (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x))) |
| 1× | egg-herbie |
| 8 992× | lower-fma.f64 |
| 8 992× | lower-fma.f32 |
| 4 494× | lower-*.f64 |
| 4 494× | lower-*.f32 |
| 3 046× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 371 | 42949675936 |
| 1 | 991 | 42949675705 |
| 2 | 3011 | 42949675491 |
| 0 | 8495 | 2726 |
| 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 (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 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 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 |
(+ 1 (* 1/3 x)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
1 |
(+ 1 (* 1/3 x)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
1 |
(+ 1 (* 1/3 x)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(* -1 x) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* x (+ 1/2 (* -1/3 x))) 1)) |
(* x (- (* x (+ 1/2 (* x (- (* 1/4 x) 1/3)))) 1)) |
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
1 |
(+ 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 |
(+ 1 (* 1/3 x)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(- 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)))) |
(* 1/3 (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)))) |
(/ (+ (* -1/9 (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 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 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)) |
(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)))))))) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(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)) |
(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)))))))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(cbrt (/ 1 (exp (neg (* -1 (log (/ 1 x))))))) |
(+ (cbrt (/ 1 (exp (neg (* -1 (log (/ 1 x))))))) (* 1/3 (* (pow (/ 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 7)) 1/9) (/ 1 x)))) |
(+ (cbrt (/ 1 (exp (neg (* -1 (log (/ 1 x))))))) (+ (* -1/9 (* (pow (/ 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 11)) 1/9) (/ 1 (pow x 2)))) (* 1/3 (* (pow (/ 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 7)) 1/9) (/ 1 x))))) |
(+ (cbrt (/ 1 (exp (neg (* -1 (log (/ 1 x))))))) (+ (* -1/3 (* (/ (+ (* -2/9 (* (pow 1 1/9) (cbrt (/ 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 7))))) (* 1/27 (cbrt (/ 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 7))))) (pow x 3)) (cbrt (pow (exp (neg (* -1 (log (/ 1 x))))) 2)))) (+ (* -1/9 (* (pow (/ 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 11)) 1/9) (/ 1 (pow x 2)))) (* 1/3 (* (pow (/ 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 7)) 1/9) (/ 1 x)))))) |
(exp (neg (* -1 (log (/ 1 x))))) |
(+ (exp (neg (* -1 (log (/ 1 x))))) (* -1 (/ (exp (neg (* -1 (log (/ 1 x))))) x))) |
(+ (exp (neg (* -1 (log (/ 1 x))))) (+ (* -1 (/ (exp (neg (* -1 (log (/ 1 x))))) x)) (/ (exp (neg (* -1 (log (/ 1 x))))) (pow x 2)))) |
(+ (exp (neg (* -1 (log (/ 1 x))))) (+ (* -1 (/ (exp (neg (* -1 (log (/ 1 x))))) x)) (+ (* -1 (/ (exp (neg (* -1 (log (/ 1 x))))) (pow x 3))) (/ (exp (neg (* -1 (log (/ 1 x))))) (pow x 2))))) |
(log (/ 1 x)) |
(* -1 (+ (* -1 (log (/ 1 x))) (/ 1 x))) |
(- (/ 1/2 (pow x 2)) (+ (* -1 (log (/ 1 x))) (/ 1 x))) |
(- (/ 1/2 (pow x 2)) (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ 1 x)) |
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 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)) |
(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)))))))) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(* -1 (cbrt x)) |
(* x (- (* (/ 1 x) (cbrt (/ 1 (exp (neg (* -1 (log (/ 1 x)))))))) (cbrt (/ 1 (pow x 2))))) |
(* x (- (+ (* 1/3 (* (pow (/ 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 7)) 1/9) (/ 1 (pow x 2)))) (* (/ 1 x) (cbrt (/ 1 (exp (neg (* -1 (log (/ 1 x))))))))) (cbrt (/ 1 (pow x 2))))) |
(* x (- (+ (* -1/9 (* (pow (/ 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 11)) 1/9) (/ 1 (pow x 3)))) (+ (* 1/3 (* (pow (/ 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 7)) 1/9) (/ 1 (pow x 2)))) (* (/ 1 x) (cbrt (/ 1 (exp (neg (* -1 (log (/ 1 x)))))))))) (cbrt (/ 1 (pow x 2))))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/ (+ (* 1/9 (* (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 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(* 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 (* (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) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* 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 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(cbrt (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))))) |
(+ (cbrt (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))))) (* 1/3 (* (pow (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 7)) 1/9) (/ 1 x)))) |
(+ (cbrt (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (* -1/3 (pow (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 7)) 1/9)) (* 1/9 (* (pow (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 11)) 1/9) (/ 1 x)))) x))) |
(+ (cbrt (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (pow (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 11)) 1/9)) (* 1/3 (* (/ (+ (* -1/27 (cbrt (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 7)))) (* 2/9 (* (pow 1 1/9) (cbrt (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 7)))))) x) (cbrt (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2))))) x)) (* -1/3 (pow (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 7)) 1/9))) x))) |
(exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) |
(+ (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) x))) |
(+ (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))) |
(+ (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))) x))) |
(* -1 (+ (log -1) (* -1 (log (/ -1 x))))) |
(* -1 (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))) |
(- (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x)) (+ (log -1) (* -1 (log (/ -1 x))))) |
(- (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x)) (+ (log -1) (* -1 (log (/ -1 x))))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(* -1 (* x (pow (cbrt -1) 3))) |
(* -1 (* x (- (pow (cbrt -1) 3) (/ 1 x)))) |
(* -1 (* x (- (pow (cbrt -1) 3) (/ 1 x)))) |
(* -1 (* x (- (pow (cbrt -1) 3) (/ 1 x)))) |
(* 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 (* (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 (pow x 2)) (pow (cbrt -1) 3))) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(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)))))) |
(* (cbrt x) (cbrt -1)) |
(* -1 (* x (- (* -1 (* (/ 1 x) (cbrt (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))))))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (* -1 (/ (+ (cbrt (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))))) (* 1/3 (* (pow (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 7)) 1/9) (/ 1 x)))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (* -1 (/ (+ (cbrt (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (* -1/3 (pow (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 7)) 1/9)) (* 1/9 (* (pow (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 11)) 1/9) (/ 1 x)))) x))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
| Outputs |
|---|
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(/ 1 (pow x 2)) |
(pow.f64 x #s(literal -2 binary64)) |
(/ 1 (pow x 2)) |
(pow.f64 x #s(literal -2 binary64)) |
(/ 1 (pow x 2)) |
(pow.f64 x #s(literal -2 binary64)) |
(/ 1 (pow x 2)) |
(pow.f64 x #s(literal -2 binary64)) |
(/ 1 x) |
(pow.f64 x #s(literal -1 binary64)) |
(/ 1 x) |
(pow.f64 x #s(literal -1 binary64)) |
(/ 1 x) |
(pow.f64 x #s(literal -1 binary64)) |
(/ 1 x) |
(pow.f64 x #s(literal -1 binary64)) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.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 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(- 1 (cbrt x)) |
(-.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 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.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 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 x) |
(-.f64 x #s(literal -1 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 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 1/2 x) 1)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) |
(* x (- (* x (+ 1/2 (* -1/3 x))) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) |
(* x (- (* x (+ 1/2 (* x (- (* 1/4 x) 1/3)))) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) |
x |
(* x (+ 1 (* -1/2 x))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.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 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)) |
(cbrt (pow x 2)) |
(cbrt.f64 (*.f64 x x)) |
(cbrt (pow x 2)) |
(cbrt.f64 (*.f64 x x)) |
(cbrt (pow x 2)) |
(cbrt.f64 (*.f64 x x)) |
(cbrt (pow x 2)) |
(cbrt.f64 (*.f64 x x)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (pow.f64 x #s(literal -2 binary64))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (pow.f64 x #s(literal -2 binary64))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (pow.f64 x #s(literal -2 binary64))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (pow.f64 x #s(literal -2 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)) |
(- 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 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(pow.f64 x #s(literal -2 binary64)) |
(/ 1 (pow x 2)) |
(pow.f64 x #s(literal -2 binary64)) |
(/ 1 (pow x 2)) |
(pow.f64 x #s(literal -2 binary64)) |
(/ 1 (pow x 2)) |
(pow.f64 x #s(literal -2 binary64)) |
(/ 1 x) |
(pow.f64 x #s(literal -1 binary64)) |
(/ 1 x) |
(pow.f64 x #s(literal -1 binary64)) |
(/ 1 x) |
(pow.f64 x #s(literal -1 binary64)) |
(/ 1 x) |
(pow.f64 x #s(literal -1 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (*.f64 x x)) |
(cbrt x) |
(cbrt.f64 x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
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(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) |
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(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) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) |
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(cbrt x) |
(cbrt.f64 x) |
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x |
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(-.f64 x #s(literal -1 binary64)) |
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(cbrt.f64 x) |
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(exp (neg (* -1 (log (/ 1 x))))) |
(pow.f64 x #s(literal -1 binary64)) |
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(neg.f64 (log.f64 x)) |
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(- (/ 1/2 (pow x 2)) (+ (* -1 (log (/ 1 x))) (/ 1 x))) |
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(log.f64 x) |
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(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(-.f64 (log.f64 x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) |
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
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x |
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(* x (+ 1 (/ 1 x))) |
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(* x (+ 1 (/ 1 x))) |
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(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) |
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(cbrt x) |
(cbrt.f64 x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
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(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) |
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(cbrt (pow x 2)) |
(cbrt.f64 (*.f64 x x)) |
(cbrt (pow x 2)) |
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(cbrt (pow x 2)) |
(cbrt.f64 (*.f64 x x)) |
(cbrt (pow x 2)) |
(cbrt.f64 (*.f64 x x)) |
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(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (pow.f64 x #s(literal -2 binary64))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (pow.f64 x #s(literal -2 binary64))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (pow.f64 x #s(literal -2 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)) |
(* -1 (cbrt x)) |
(neg.f64 (cbrt.f64 x)) |
(* x (- (* (/ 1 x) (cbrt (/ 1 (exp (neg (* -1 (log (/ 1 x)))))))) (cbrt (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 (cbrt.f64 x) x) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) x) |
(* x (- (+ (* 1/3 (* (pow (/ 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 7)) 1/9) (/ 1 (pow x 2)))) (* (/ 1 x) (cbrt (/ 1 (exp (neg (* -1 (log (/ 1 x))))))))) (cbrt (/ 1 (pow x 2))))) |
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(* x (- (+ (* -1/9 (* (pow (/ 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 11)) 1/9) (/ 1 (pow x 3)))) (+ (* 1/3 (* (pow (/ 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 7)) 1/9) (/ 1 (pow x 2)))) (* (/ 1 x) (cbrt (/ 1 (exp (neg (* -1 (log (/ 1 x)))))))))) (cbrt (/ 1 (pow x 2))))) |
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(* 1/3 (cbrt (/ 1 (pow x 2)))) |
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(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) |
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(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) |
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(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
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(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
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(/ 1 (pow x 2)) |
(pow.f64 x #s(literal -2 binary64)) |
(/ 1 (pow x 2)) |
(pow.f64 x #s(literal -2 binary64)) |
(/ 1 (pow x 2)) |
(pow.f64 x #s(literal -2 binary64)) |
(/ 1 (pow x 2)) |
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(/ 1 x) |
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(/ 1 x) |
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(/ 1 x) |
(pow.f64 x #s(literal -1 binary64)) |
(/ 1 x) |
(pow.f64 x #s(literal -1 binary64)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
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(/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (*.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (*.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 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal -1/9 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 10/243 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))) (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (*.f64 (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 16 binary64))))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (*.f64 x x)) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x)) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 x #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 (fma.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64)))) 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 (fma.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (*.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))) x) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(cbrt.f64 (*.f64 x x)) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(cbrt.f64 (*.f64 x x)) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(cbrt.f64 (*.f64 x x)) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(cbrt.f64 (*.f64 x x)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (pow.f64 x #s(literal -2 binary64))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (pow.f64 x #s(literal -2 binary64))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (pow.f64 x #s(literal -2 binary64))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (pow.f64 x #s(literal -2 binary64))) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 x #s(literal 1/6 binary64)) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 x #s(literal 1/6 binary64)) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 x #s(literal 1/6 binary64)) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 x #s(literal 1/6 binary64)) |
(* (cbrt x) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(* -1 (* x (- (* -1 (* (/ 1 x) (cbrt (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))))))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (+.f64 (/.f64 (cbrt.f64 x) x) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))) x) |
(* -1 (* x (- (* -1 (/ (+ (cbrt (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))))) (* 1/3 (* (pow (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 7)) 1/9) (/ 1 x)))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (fma.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 7 binary64))) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) (cbrt.f64 x)) (/.f64 #s(literal -1 binary64) x))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (cbrt (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (* -1/3 (pow (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 7)) 1/9)) (* 1/9 (* (pow (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 11)) 1/9) (/ 1 x)))) x))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (fma.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 11 binary64))) #s(literal 1/9 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) (neg.f64 x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 7 binary64))) #s(literal 1/9 binary64)) #s(literal -1/3 binary64))) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1 binary64) x))) (neg.f64 x)) |
| 5 968× | lower-fma.f32 |
| 5 966× | lower-fma.f64 |
| 3 284× | lower-*.f32 |
| 3 282× | lower-*.f64 |
| 2 624× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 137 |
| 0 | 55 | 112 |
| 1 | 197 | 104 |
| 2 | 1301 | 104 |
| 0 | 8592 | 100 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 #s(literal 1 binary64) x) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
(cbrt.f64 x) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) |
(exp.f64 (neg.f64 (log1p.f64 x))) |
(neg.f64 (log1p.f64 x)) |
(log1p.f64 x) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64)) |
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
(cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(pow.f64 x #s(literal 1/6 binary64)) |
(-.f64 (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) (cbrt.f64 x)) |
| Outputs |
|---|
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Compiled 26 984 to 3 638 computations (86.5% saved)
40 alts after pruning (37 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 487 | 36 | 1 523 |
| Fresh | 18 | 1 | 19 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 508 | 40 | 1 548 |
| Status | Accuracy | Program |
|---|---|---|
| 7.5% | (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/12 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 7.4% | (fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 6.1% | (fma.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64)))) #s(literal -1 binary64)) (neg.f64 (/.f64 x (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))))))) | |
| 3.8% | (fma.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (cbrt.f64 x))) | |
| 8.6% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))))) | |
| 6.1% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) | |
| 3.9% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) | |
| ✓ | 6.3% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 1.8% | (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64))) | |
| ✓ | 1.8% | (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
| 6.3% | (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) | |
| ▶ | 1.8% | #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
| ▶ | 20.5% | #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
| 20.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x))) | |
| 97.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) | |
| 97.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) | |
| 97.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))))) | |
| 97.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))))) | |
| 97.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) | |
| 96.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64))) | |
| 47.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) | |
| 97.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) | |
| 89.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) | |
| ▶ | 97.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) |
| 50.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 (neg.f64 x) x))) #s(literal 1/3 binary64))) | |
| ▶ | 97.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
| 97.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))) | |
| 96.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))) | |
| 96.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) | |
| 90.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (neg.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 2 binary64)))) #s(literal 1/3 binary64))) | |
| 51.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))) #s(literal 1/3 binary64))) | |
| 51.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64))) | |
| 51.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) x)) #s(literal 1/3 binary64))) | |
| ✓ | 51.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
| 51.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) x)) #s(literal 1/3 binary64))) | |
| 49.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (exp.f64 (neg.f64 (log.f64 x))) x)) #s(literal 1/3 binary64))) | |
| 50.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) | |
| 51.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))))) #s(literal 1/3 binary64))) | |
| 51.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) | |
| ▶ | 48.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))) |
Compiled 903 to 699 computations (22.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) | |
| cost-diff | 0 | (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 (log.f64 x) #s(literal -2 binary64)) | |
| cost-diff | 0 | (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))) | |
| cost-diff | 6656 | (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) | |
| cost-diff | 0 | (cbrt.f64 x) | |
| cost-diff | 0 | (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) | |
| cost-diff | 0 | (cbrt.f64 x) | |
| cost-diff | 0 | (neg.f64 (cbrt.f64 x)) | |
| cost-diff | 0 | #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 x))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) | |
| cost-diff | 1472 | (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) |
| 2 500× | lower-fma.f32 |
| 2 498× | lower-fma.f64 |
| 2 052× | lower-*.f32 |
| 2 044× | lower-*.f64 |
| 1 356× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 4294967508 |
| 0 | 78 | 4294967515 |
| 1 | 114 | 4294967512 |
| 2 | 144 | 4294967512 |
| 3 | 204 | 4294967512 |
| 4 | 260 | 4294967512 |
| 5 | 320 | 4294967512 |
| 6 | 420 | 4294967512 |
| 7 | 493 | 4294967512 |
| 8 | 580 | 4294967512 |
| 9 | 675 | 4294967512 |
| 10 | 1220 | 4294967506 |
| 11 | 1973 | 4294967506 |
| 12 | 3413 | 4294967482 |
| 13 | 4875 | 4294967482 |
| 14 | 5505 | 4294967482 |
| 15 | 5788 | 4294967482 |
| 16 | 5851 | 4294967476 |
| 17 | 5933 | 4294967476 |
| 18 | 6817 | 4294967476 |
| 0 | 8156 | 194 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) |
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) |
(cbrt.f64 (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(cbrt.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(literal 1/3 binary64) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
(neg.f64 (cbrt.f64 x)) |
(cbrt.f64 x) |
x |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(cbrt.f64 x) |
x |
#s(literal 2 binary64) |
#s(literal 1/3 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64)) |
(cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
(*.f64 (log.f64 x) #s(literal -2 binary64)) |
(log.f64 x) |
x |
#s(literal -2 binary64) |
#s(literal 1/3 binary64) |
#s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) |
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 1/3 binary64) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) |
#s(literal -1/9 binary64) |
(cbrt.f64 x) |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) |
(cbrt.f64 (pow.f64 x #s(literal -2 binary64))) |
(cbrt.f64 (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (cbrt.f64 x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(cbrt.f64 (neg.f64 x)) |
(neg.f64 (cbrt.f64 x)) |
(neg.f64 x) |
#s(literal 1/3 binary64) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
(neg.f64 (cbrt.f64 x)) |
(cbrt.f64 x) |
x |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(cbrt.f64 (pow.f64 x #s(literal -2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(cbrt.f64 x) |
x |
#s(literal 2 binary64) |
#s(literal 1/3 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) |
(cbrt.f64 (pow.f64 x #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(*.f64 (log.f64 x) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (log.f64 x)) |
(log.f64 x) |
x |
#s(literal -2 binary64) |
#s(literal 1/3 binary64) |
#s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) |
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) |
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 1/3 binary64) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) |
#s(literal -1/9 binary64) |
(cbrt.f64 x) |
(*.f64 x x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.46890057590866846 | #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) | |
| accuracy | 0.4938851074528623 | (cbrt.f64 x) | |
| accuracy | 31.089432342358467 | (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) | |
| accuracy | 34.547183936176225 | (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 0.34375 | (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64)) | |
| accuracy | 0.9342533257854996 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))) | |
| accuracy | 2.9299706851455203 | (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) | |
| accuracy | 30.138444714035007 | (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) | |
| accuracy | 0.34375 | (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) | |
| accuracy | 0.45541000976844204 | (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) | |
| accuracy | 0.4938851074528623 | (cbrt.f64 x) | |
| accuracy | 0.9342533257854996 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) | |
| accuracy | 0 | (neg.f64 (cbrt.f64 x)) | |
| accuracy | 0.4938851074528623 | (cbrt.f64 x) | |
| accuracy | 62.86879237433265 | #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 x))) | |
| accuracy | 0.34375 | (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) | |
| accuracy | 0.4938851074528623 | (cbrt.f64 (neg.f64 x)) | |
| accuracy | 0.5889626465266304 | (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0.9342533257854996 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) |
| 237.0ms | 208× | 1 | valid |
| 107.0ms | 42× | 2 | valid |
| 2.0ms | 6× | 0 | valid |
Compiled 184 to 48 computations (73.9% saved)
ival-add: 52.0ms (19.5% of total)ival-pow: 47.0ms (17.6% of total)adjust: 29.0ms (10.9% of total)ival-cbrt: 25.0ms (9.4% of total)ival-mult: 22.0ms (8.2% of total)const: 21.0ms (7.9% of total)ival-exp: 17.0ms (6.4% of total)ival-log1p: 13.0ms (4.9% of total)ival-div: 10.0ms (3.7% of total)ival-sub: 7.0ms (2.6% of total)ival-neg: 6.0ms (2.2% of total)ival-log: 6.0ms (2.2% of total)ival-pow2: 5.0ms (1.9% of total)ival-fabs: 3.0ms (1.1% of total)ival-copysign: 3.0ms (1.1% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) (patch (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (patch (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 x))) (patch #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 x))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (cbrt.f64 x)) (patch (neg.f64 (cbrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) (patch (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) (patch (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (log.f64 x) #s(literal -2 binary64)) (patch (*.f64 (log.f64 x) #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) (patch #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (patch (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (patch (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 (neg.f64 x)) (patch (cbrt.f64 (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) (patch (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) (patch (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
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#s(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)) (taylor -inf x) (#s(alt #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) (patch #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (pow x 4))) (taylor -inf x) (#s(alt (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (patch (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (patch (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (patch (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (patch (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (pow x 4)) (taylor -inf x) (#s(alt (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (patch (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (pow x 4)) (taylor -inf x) (#s(alt (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (patch (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (pow x 4)) (taylor -inf x) (#s(alt (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (patch (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (pow x 4)) (taylor -inf x) (#s(alt (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (patch (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (cbrt x)) (taylor -inf x) (#s(alt (cbrt.f64 (neg.f64 x)) (patch (cbrt.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (cbrt x)) (taylor -inf x) (#s(alt (cbrt.f64 (neg.f64 x)) (patch (cbrt.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (cbrt x)) (taylor -inf x) (#s(alt (cbrt.f64 (neg.f64 x)) (patch (cbrt.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (cbrt x)) (taylor -inf x) (#s(alt (cbrt.f64 (neg.f64 x)) (patch (cbrt.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) (patch (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) (patch (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) (patch (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) (patch (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 54.0ms | x | @ | -inf | ((/ (cbrt (/ -1 x)) (cbrt (neg x))) (- (cbrt (+ x 1)) (cbrt x)) (cbrt (/ -1 x)) (/ -1 x) (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg (cbrt x)) (cbrt x) (/ 1 (pow (cbrt x) 2)) (- (cbrt (+ x 1)) (cbrt x)) (pow (cbrt x) 2) (exp (* (log x) -2)) (- (cbrt (+ x 1)) (cbrt x)) (cbrt (exp (* (log x) -2))) (* (log x) -2) (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (cbrt (pow x 4)) (pow x 4) (cbrt (neg x)) (* (/ (cbrt (/ -1 x)) (cbrt (neg x))) 1/3) (* (/ 1 (pow (cbrt x) 2)) 1/3) (* (cbrt (exp (* (log x) -2))) 1/3) (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x))) |
| 41.0ms | x | @ | inf | ((/ (cbrt (/ -1 x)) (cbrt (neg x))) (- (cbrt (+ x 1)) (cbrt x)) (cbrt (/ -1 x)) (/ -1 x) (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg (cbrt x)) (cbrt x) (/ 1 (pow (cbrt x) 2)) (- (cbrt (+ x 1)) (cbrt x)) (pow (cbrt x) 2) (exp (* (log x) -2)) (- (cbrt (+ x 1)) (cbrt x)) (cbrt (exp (* (log x) -2))) (* (log x) -2) (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (cbrt (pow x 4)) (pow x 4) (cbrt (neg x)) (* (/ (cbrt (/ -1 x)) (cbrt (neg x))) 1/3) (* (/ 1 (pow (cbrt x) 2)) 1/3) (* (cbrt (exp (* (log x) -2))) 1/3) (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x))) |
| 15.0ms | x | @ | 0 | ((/ (cbrt (/ -1 x)) (cbrt (neg x))) (- (cbrt (+ x 1)) (cbrt x)) (cbrt (/ -1 x)) (/ -1 x) (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg (cbrt x)) (cbrt x) (/ 1 (pow (cbrt x) 2)) (- (cbrt (+ x 1)) (cbrt x)) (pow (cbrt x) 2) (exp (* (log x) -2)) (- (cbrt (+ x 1)) (cbrt x)) (cbrt (exp (* (log x) -2))) (* (log x) -2) (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (cbrt (pow x 4)) (pow x 4) (cbrt (neg x)) (* (/ (cbrt (/ -1 x)) (cbrt (neg x))) 1/3) (* (/ 1 (pow (cbrt x) 2)) 1/3) (* (cbrt (exp (* (log x) -2))) 1/3) (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x))) |
| 1× | egg-herbie |
| 8 140× | lower-fma.f64 |
| 8 140× | lower-fma.f32 |
| 3 782× | lower-*.f64 |
| 3 782× | lower-*.f32 |
| 2 276× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 195 | 17179871831 |
| 1 | 460 | 17179871712 |
| 2 | 1138 | 17179871705 |
| 3 | 2938 | 17179871697 |
| 4 | 6920 | 17179871697 |
| 0 | 8051 | 2550 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(- 1 (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 (cbrt x)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(* -2 (log x)) |
(* -2 (log x)) |
(* -2 (log x)) |
(* -2 (log 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)) |
(* -1/9 (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)))) |
(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) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* -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)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (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)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(* -1 (cbrt x)) |
(* x (- (* (/ 1 x) (cbrt (/ 1 (exp (neg (* -1 (log (/ 1 x)))))))) (cbrt (/ 1 (pow x 2))))) |
(* x (- (+ (* 1/3 (* (pow (/ 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 7)) 1/9) (/ 1 (pow x 2)))) (* (/ 1 x) (cbrt (/ 1 (exp (neg (* -1 (log (/ 1 x))))))))) (cbrt (/ 1 (pow x 2))))) |
(* x (- (+ (* -1/9 (* (pow (/ 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 11)) 1/9) (/ 1 (pow x 3)))) (+ (* 1/3 (* (pow (/ 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 7)) 1/9) (/ 1 (pow x 2)))) (* (/ 1 x) (cbrt (/ 1 (exp (neg (* -1 (log (/ 1 x)))))))))) (cbrt (/ 1 (pow x 2))))) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (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)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (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)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(* 2 (log (/ 1 x))) |
(* 2 (log (/ 1 x))) |
(* 2 (log (/ 1 x))) |
(* 2 (log (/ 1 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 (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)))))) |
(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) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 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)))) |
(+ (* -1/9 (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))))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(* (cbrt x) (cbrt -1)) |
(* -1 (* x (- (* -1 (* (/ 1 x) (cbrt (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))))))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (* -1 (/ (+ (cbrt (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))))) (* 1/3 (* (pow (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 7)) 1/9) (/ 1 x)))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (* -1 (/ (+ (cbrt (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (* -1/3 (pow (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 7)) 1/9)) (* 1/9 (* (pow (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 11)) 1/9) (/ 1 x)))) x))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (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 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(* -2 (+ (log -1) (* -1 (log (/ -1 x))))) |
(* -2 (+ (log -1) (* -1 (log (/ -1 x))))) |
(* -2 (+ (log -1) (* -1 (log (/ -1 x))))) |
(* -2 (+ (log -1) (* -1 (log (/ -1 x))))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(* 1/3 (cbrt (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)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (cbrt (/ 1 (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)))) |
(+ (* 1/9 (* (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))))) |
| Outputs |
|---|
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(- 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 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 x #s(literal -1 binary64)))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 x #s(literal -1 binary64)))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 x #s(literal -1 binary64)))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 x #s(literal -1 binary64)))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(- 1 (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 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(* -1 (cbrt x)) |
(neg.f64 (cbrt.f64 x)) |
(* -1 (cbrt x)) |
(neg.f64 (cbrt.f64 x)) |
(* -1 (cbrt x)) |
(neg.f64 (cbrt.f64 x)) |
(* -1 (cbrt x)) |
(neg.f64 (cbrt.f64 x)) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(- 1 (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 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(cbrt (pow x 2)) |
(cbrt.f64 (*.f64 x x)) |
(cbrt (pow x 2)) |
(cbrt.f64 (*.f64 x x)) |
(cbrt (pow x 2)) |
(cbrt.f64 (*.f64 x x)) |
(cbrt (pow x 2)) |
(cbrt.f64 (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(fma.f64 #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 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 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))) |
(* -2 (log x)) |
(*.f64 (log.f64 x) #s(literal -2 binary64)) |
(* -2 (log x)) |
(*.f64 (log.f64 x) #s(literal -2 binary64)) |
(* -2 (log x)) |
(*.f64 (log.f64 x) #s(literal -2 binary64)) |
(* -2 (log x)) |
(*.f64 (log.f64 x) #s(literal -2 binary64)) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(* -1/9 (cbrt x)) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) |
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) |
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) |
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(*.f64 (*.f64 (fma.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #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))))) x) x) |
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #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))))) x) x) |
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #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))))) x) x) |
(cbrt (pow x 4)) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(cbrt (pow x 4)) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(cbrt (pow x 4)) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(cbrt (pow x 4)) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* -1 (cbrt x)) |
(neg.f64 (cbrt.f64 x)) |
(* -1 (cbrt x)) |
(neg.f64 (cbrt.f64 x)) |
(* -1 (cbrt x)) |
(neg.f64 (cbrt.f64 x)) |
(* -1 (cbrt x)) |
(neg.f64 (cbrt.f64 x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 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)))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #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))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #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))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #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))))) |
| 3 950× | lower-fma.f32 |
| 3 948× | lower-fma.f64 |
| 3 634× | lower-*.f32 |
| 3 626× | lower-*.f64 |
| 3 270× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 4294967478 |
| 0 | 78 | 195 |
| 1 | 248 | 165 |
| 2 | 1517 | 161 |
| 0 | 8883 | 146 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) |
(cbrt.f64 (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
(neg.f64 (cbrt.f64 x)) |
(cbrt.f64 x) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))) |
(cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) |
(*.f64 (log.f64 x) #s(literal -2 binary64)) |
#s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
(cbrt.f64 (neg.f64 x)) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) |
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64)) |
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) |
| Outputs |
|---|
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Compiled 20 745 to 3 188 computations (84.6% saved)
48 alts after pruning (43 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 231 | 29 | 1 260 |
| Fresh | 18 | 14 | 32 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 252 | 48 | 1 300 |
| Status | Accuracy | Program |
|---|---|---|
| 7.5% | (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/12 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 7.4% | (fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 6.1% | (fma.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64)))) #s(literal -1 binary64)) (neg.f64 (/.f64 x (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))))))) | |
| 3.8% | (fma.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (cbrt.f64 x))) | |
| 8.6% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))))) | |
| 3.9% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) | |
| ✓ | 6.3% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| ✓ | 1.8% | (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
| 6.3% | (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) | |
| ▶ | 51.0% | #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (*.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (pow.f64 x #s(literal -2 binary64)))) |
| 97.0% | #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) | |
| ▶ | 1.8% | #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (pow.f64 x #s(literal 1/3 binary64)))) |
| 5.2% | #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 (neg.f64 x)))) | |
| ✓ | 1.8% | #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
| 49.5% | #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) | |
| 45.7% | #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) | |
| ▶ | 50.1% | #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
| 20.8% | #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x))) | |
| 20.6% | #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) | |
| 77.1% | #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) x) x)) | |
| 77.0% | #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (pow.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) #s(literal -1 binary64)) (neg.f64 x)))) | |
| 77.1% | #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))))) | |
| 19.8% | #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 #s(approx (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64))) (*.f64 x x))) | |
| 50.1% | #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))))) | |
| 77.0% | #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (neg.f64 x)))) | |
| 77.0% | #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (neg.f64 x)))) | |
| 50.3% | #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) | |
| 97.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) | |
| 97.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)) (neg.f64 (cbrt.f64 x)))) | |
| ▶ | 97.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) |
| 97.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) | |
| ▶ | 77.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) |
| 47.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) | |
| 89.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) | |
| ✓ | 97.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) |
| 96.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))) | |
| 96.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x))) #s(literal 2 binary64))) #s(literal 1/3 binary64))) | |
| 96.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))) | |
| 89.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) | |
| 97.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))) | |
| 76.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (cbrt.f64 x) x)))) #s(literal 1/3 binary64))) | |
| 50.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal 1/3 binary64))) | |
| 96.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))) #s(literal 1/3 binary64))) | |
| 96.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) | |
| 97.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) (/.f64 #s(literal -1 binary64) (cbrt.f64 x)))) | |
| 51.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))) #s(literal 1/3 binary64))) | |
| ✓ | 51.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
| 51.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) |
Compiled 1 204 to 895 computations (25.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cbrt.f64 x) | |
| cost-diff | 0 | (*.f64 (cbrt.f64 x) x) | |
| cost-diff | 0 | #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (*.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (pow.f64 x #s(literal -2 binary64)))) | |
| cost-diff | 6720 | (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) | |
| cost-diff | 0 | (cbrt.f64 x) | |
| cost-diff | 0 | (*.f64 (cbrt.f64 x) x) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) | |
| cost-diff | 6720 | (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) | |
| cost-diff | 0 | (*.f64 (cbrt.f64 x) x) | |
| cost-diff | 0 | (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (neg.f64 (pow.f64 x #s(literal 1/3 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (pow.f64 x #s(literal 1/3 binary64)))) | |
| cost-diff | 64 | (pow.f64 x #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) |
| 3 916× | lower-fma.f32 |
| 3 914× | lower-fma.f64 |
| 3 540× | lower-*.f32 |
| 3 528× | lower-*.f64 |
| 2 024× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 8589934787 |
| 0 | 64 | 8589934782 |
| 1 | 98 | 8589934765 |
| 2 | 148 | 8589934765 |
| 3 | 270 | 8589934765 |
| 4 | 521 | 8589934759 |
| 5 | 711 | 8589934759 |
| 6 | 1635 | 8589934759 |
| 7 | 2214 | 8589934759 |
| 8 | 2554 | 8589934759 |
| 9 | 3161 | 8589934759 |
| 10 | 6368 | 8589934759 |
| 0 | 8024 | 182 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(cbrt.f64 x) |
x |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (pow.f64 x #s(literal 1/3 binary64)))) |
(neg.f64 (pow.f64 x #s(literal 1/3 binary64))) |
(pow.f64 x #s(literal 1/3 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) |
(*.f64 (cbrt.f64 x) x) |
(cbrt.f64 x) |
x |
#s(literal -1/2 binary64) |
#s(literal 1/3 binary64) |
#s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) |
(fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 x) x) |
(cbrt.f64 x) |
x |
#s(literal 1/3 binary64) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) |
#s(literal -1/9 binary64) |
(*.f64 x x) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (*.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (pow.f64 x #s(literal -2 binary64))) |
(fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 x) x) |
(cbrt.f64 x) |
x |
#s(literal 1/3 binary64) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) |
#s(literal -1/9 binary64) |
(pow.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(cbrt.f64 x) |
x |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (pow.f64 x #s(literal 1/3 binary64)))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
(neg.f64 (pow.f64 x #s(literal 1/3 binary64))) |
(neg.f64 (cbrt.f64 x)) |
(pow.f64 x #s(literal 1/3 binary64)) |
(cbrt.f64 x) |
x |
#s(literal 1/3 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) |
(*.f64 (cbrt.f64 x) x) |
(cbrt.f64 x) |
x |
#s(literal -1/2 binary64) |
#s(literal 1/3 binary64) |
#s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)))) |
(/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))) |
(fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) x) |
(cbrt.f64 x) |
x |
#s(literal 1/3 binary64) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) |
#s(literal -1/9 binary64) |
(*.f64 x x) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (*.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (pow.f64 x #s(literal -2 binary64)))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)))) |
(*.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (pow.f64 x #s(literal -2 binary64))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))) |
(fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) x) |
(cbrt.f64 x) |
x |
#s(literal 1/3 binary64) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) |
#s(literal -1/9 binary64) |
(pow.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.4140625 | (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) | |
| accuracy | 0.46890057590866846 | #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (*.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (pow.f64 x #s(literal -2 binary64)))) | |
| accuracy | 0.4938851074528623 | (cbrt.f64 x) | |
| accuracy | 30.52671736669441 | (*.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (pow.f64 x #s(literal -2 binary64))) | |
| accuracy | 0.4140625 | (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) | |
| accuracy | 0.46890057590866846 | #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) | |
| accuracy | 0.4938851074528623 | (cbrt.f64 x) | |
| accuracy | 31.089432342358467 | (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) | |
| accuracy | 0.34375 | (*.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) | |
| accuracy | 0.4938851074528623 | (cbrt.f64 x) | |
| accuracy | 0.9342533257854996 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) | |
| accuracy | 13.36664738408018 | (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) | |
| accuracy | 0 | (neg.f64 (pow.f64 x #s(literal 1/3 binary64))) | |
| accuracy | 5.1287872866735364 | (pow.f64 x #s(literal 1/3 binary64)) | |
| accuracy | 62.86879237433265 | #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (pow.f64 x #s(literal 1/3 binary64)))) | |
| accuracy | 0.30859375 | (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) | |
| accuracy | 0.45541000976844204 | (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) | |
| accuracy | 0.4938851074528623 | (cbrt.f64 x) | |
| accuracy | 0.9342533257854996 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) |
| 202.0ms | 208× | 1 | valid |
| 66.0ms | 42× | 2 | valid |
| 2.0ms | 6× | 0 | valid |
Compiled 192 to 40 computations (79.2% saved)
ival-pow: 54.0ms (23.2% of total)ival-log1p: 31.0ms (13.3% of total)adjust: 24.0ms (10.3% of total)ival-mult: 23.0ms (9.9% of total)const: 21.0ms (9% of total)ival-add: 21.0ms (9% of total)ival-exp: 14.0ms (6% of total)ival-cbrt: 13.0ms (5.6% of total)ival-div: 8.0ms (3.4% of total)ival-sub: 7.0ms (3% of total)ival-pow2: 6.0ms (2.6% of total)ival-neg: 4.0ms (1.7% of total)ival-copysign: 3.0ms (1.3% 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 |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (patch (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 1/3 binary64)) (patch (pow.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (pow.f64 x #s(literal 1/3 binary64)))) (patch #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (pow.f64 x #s(literal 1/3 binary64)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (pow.f64 x #s(literal 1/3 binary64))) (patch (neg.f64 (pow.f64 x #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (patch (*.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) (patch (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (cbrt.f64 x) x) (patch (*.f64 (cbrt.f64 x) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (patch (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) (patch #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (*.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (pow.f64 x #s(literal -2 binary64)))) (patch #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (*.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (pow.f64 x #s(literal -2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) (patch (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (patch (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (pow.f64 x #s(literal -2 binary64))) (patch (*.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (pow.f64 x #s(literal -2 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (cbrt (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (patch (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* 3 (cbrt (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (patch (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | x | @ | -inf | ((/ 1 (* (pow (cbrt x) 2) 3)) (- (cbrt (+ x 1)) (cbrt x)) (* (pow (cbrt x) 2) 3) (pow (cbrt x) 2) (pow x 1/3) (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg (pow x 1/3)) (- (cbrt (+ x 1)) (cbrt x)) (* (pow (* (cbrt x) x) -1/2) 1/3) (pow (* (cbrt x) x) -1/2) (* (cbrt x) x) (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x))) (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (cbrt x) (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (/ (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x))) (* x x)) (* -1/9 (cbrt x)) (* (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x))) (pow x -2))) |
| 8.0ms | x | @ | inf | ((/ 1 (* (pow (cbrt x) 2) 3)) (- (cbrt (+ x 1)) (cbrt x)) (* (pow (cbrt x) 2) 3) (pow (cbrt x) 2) (pow x 1/3) (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg (pow x 1/3)) (- (cbrt (+ x 1)) (cbrt x)) (* (pow (* (cbrt x) x) -1/2) 1/3) (pow (* (cbrt x) x) -1/2) (* (cbrt x) x) (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x))) (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (cbrt x) (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (/ (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x))) (* x x)) (* -1/9 (cbrt x)) (* (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x))) (pow x -2))) |
| 7.0ms | x | @ | 0 | ((/ 1 (* (pow (cbrt x) 2) 3)) (- (cbrt (+ x 1)) (cbrt x)) (* (pow (cbrt x) 2) 3) (pow (cbrt x) 2) (pow x 1/3) (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg (pow x 1/3)) (- (cbrt (+ x 1)) (cbrt x)) (* (pow (* (cbrt x) x) -1/2) 1/3) (pow (* (cbrt x) x) -1/2) (* (cbrt x) x) (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x))) (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (cbrt x) (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (/ (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x))) (* x x)) (* -1/9 (cbrt x)) (* (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x))) (pow x -2))) |
| 1× | egg-herbie |
| 8 064× | lower-fma.f64 |
| 8 064× | lower-fma.f32 |
| 4 138× | lower-*.f64 |
| 4 138× | lower-*.f32 |
| 2 306× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 202 | 34359740719 |
| 1 | 484 | 34359740593 |
| 2 | 1217 | 34359740579 |
| 3 | 3143 | 34359740563 |
| 4 | 7112 | 34359740563 |
| 0 | 8127 | 2368 |
| 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 (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)) |
(* 3 (cbrt (pow x 2))) |
(* 3 (cbrt (pow x 2))) |
(* 3 (cbrt (pow x 2))) |
(* 3 (cbrt (pow x 2))) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* 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 (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(* -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 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* -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)) |
(* -1/9 (cbrt x)) |
(* -1/9 (cbrt x)) |
(* -1/9 (cbrt x)) |
(* -1/9 (cbrt x)) |
(* -1/9 (cbrt (/ 1 (pow x 5)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (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)))) |
(/ (+ (* -1/9 (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)) |
(* 3 (cbrt (pow x 2))) |
(* 3 (cbrt (pow x 2))) |
(* 3 (cbrt (pow x 2))) |
(* 3 (cbrt (pow x 2))) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(* -1 (cbrt x)) |
(* x (- (* (/ 1 x) (cbrt (/ 1 (exp (neg (* -1 (log (/ 1 x)))))))) (cbrt (/ 1 (pow x 2))))) |
(* x (- (+ (* 1/3 (* (pow (/ 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 7)) 1/9) (/ 1 (pow x 2)))) (* (/ 1 x) (cbrt (/ 1 (exp (neg (* -1 (log (/ 1 x))))))))) (cbrt (/ 1 (pow x 2))))) |
(* x (- (+ (* -1/9 (* (pow (/ 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 11)) 1/9) (/ 1 (pow x 3)))) (+ (* 1/3 (* (pow (/ 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 7)) 1/9) (/ 1 (pow x 2)))) (* (/ 1 x) (cbrt (/ 1 (exp (neg (* -1 (log (/ 1 x)))))))))) (cbrt (/ 1 (pow x 2))))) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(* -1 (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)))) |
(* 1/3 (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 (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(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 (/ 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)) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(* -1 (cbrt x)) |
(* x (- (* (/ 1 x) (cbrt (/ 1 (exp (neg (* -1 (log (/ 1 x)))))))) (cbrt (/ 1 (pow x 2))))) |
(* x (- (+ (* 1/3 (* (pow (/ 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 7)) 1/9) (/ 1 (pow x 2)))) (* (/ 1 x) (cbrt (/ 1 (exp (neg (* -1 (log (/ 1 x))))))))) (cbrt (/ 1 (pow x 2))))) |
(* x (- (+ (* -1/9 (* (pow (/ 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 11)) 1/9) (/ 1 (pow x 3)))) (+ (* 1/3 (* (pow (/ 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 7)) 1/9) (/ 1 (pow x 2)))) (* (/ 1 x) (cbrt (/ 1 (exp (neg (* -1 (log (/ 1 x)))))))))) (cbrt (/ 1 (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))))) |
(* -1/9 (cbrt x)) |
(* -1/9 (cbrt x)) |
(* -1/9 (cbrt x)) |
(* -1/9 (cbrt x)) |
(* 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 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (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)) |
(* -3 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(* -3 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(* -3 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(* -3 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* (cbrt x) (cbrt -1)) |
(* -1 (* x (- (* -1 (* (/ 1 x) (cbrt (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))))))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (* -1 (/ (+ (cbrt (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))))) (* 1/3 (* (pow (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 7)) 1/9) (/ 1 x)))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (* -1 (/ (+ (cbrt (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (* -1/3 (pow (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 7)) 1/9)) (* 1/9 (* (pow (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 11)) 1/9) (/ 1 x)))) x))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (* (sqrt (/ 1 (cbrt -1))) (sqrt -1)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (* (sqrt (/ 1 (cbrt -1))) (sqrt -1)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (* (sqrt (/ 1 (cbrt -1))) (sqrt -1)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (* (sqrt (/ 1 (cbrt -1))) (sqrt -1)))) |
(* (cbrt (/ 1 (pow x 2))) (* (sqrt (/ 1 (cbrt -1))) (sqrt -1))) |
(* (cbrt (/ 1 (pow x 2))) (* (sqrt (/ 1 (cbrt -1))) (sqrt -1))) |
(* (cbrt (/ 1 (pow x 2))) (* (sqrt (/ 1 (cbrt -1))) (sqrt -1))) |
(* (cbrt (/ 1 (pow x 2))) (* (sqrt (/ 1 (cbrt -1))) (sqrt -1))) |
(* -1 (* (cbrt (pow x 4)) (cbrt -1))) |
(* -1 (* (cbrt (pow x 4)) (cbrt -1))) |
(* -1 (* (cbrt (pow x 4)) (cbrt -1))) |
(* -1 (* (cbrt (pow x 4)) (cbrt -1))) |
(* -1/3 (* (cbrt (pow x 4)) (cbrt -1))) |
(* (pow x 2) (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))))) |
(* (pow x 2) (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))))) |
(* (pow x 2) (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 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 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* (cbrt x) (cbrt -1)) |
(* -1 (* x (- (* -1 (* (/ 1 x) (cbrt (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))))))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (* -1 (/ (+ (cbrt (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))))) (* 1/3 (* (pow (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 7)) 1/9) (/ 1 x)))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (* -1 (/ (+ (cbrt (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (* -1/3 (pow (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 7)) 1/9)) (* 1/9 (* (pow (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 11)) 1/9) (/ 1 x)))) x))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))) |
(* 1/9 (* (cbrt x) (cbrt -1))) |
(* 1/9 (* (cbrt x) (cbrt -1))) |
(* 1/9 (* (cbrt x) (cbrt -1))) |
(* 1/9 (* (cbrt x) (cbrt -1))) |
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))) |
| Outputs |
|---|
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(- 1 (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)) |
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(cbrt x) |
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(- (+ 1 (* 1/3 x)) (cbrt x)) |
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(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(* -1 (cbrt x)) |
(neg.f64 (cbrt.f64 x)) |
(* x (- (* (/ 1 x) (cbrt (/ 1 (exp (neg (* -1 (log (/ 1 x)))))))) (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (neg.f64 x) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 x)) |
(* x (- (+ (* 1/3 (* (pow (/ 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 7)) 1/9) (/ 1 (pow x 2)))) (* (/ 1 x) (cbrt (/ 1 (exp (neg (* -1 (log (/ 1 x))))))))) (cbrt (/ 1 (pow x 2))))) |
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(* x (- (+ (* -1/9 (* (pow (/ 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 11)) 1/9) (/ 1 (pow x 3)))) (+ (* 1/3 (* (pow (/ 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 7)) 1/9) (/ 1 (pow x 2)))) (* (/ 1 x) (cbrt (/ 1 (exp (neg (* -1 (log (/ 1 x)))))))))) (cbrt (/ 1 (pow x 2))))) |
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(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
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(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
(* -1/9 (cbrt x)) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) |
(* -1/9 (cbrt x)) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) |
(* -1/9 (cbrt x)) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) |
(* -1/9 (cbrt x)) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
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(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
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(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
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(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
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(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
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(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
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(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ (+ (* 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 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 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)) |
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(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
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(* -3 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(*.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64)) |
(* -3 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(*.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64)) |
(* -3 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(*.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64)) |
(* -3 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(*.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64)) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(cbrt.f64 (*.f64 x x)) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(cbrt.f64 (*.f64 x x)) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(cbrt.f64 (*.f64 x x)) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(cbrt.f64 (*.f64 x x)) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 #s(literal -1 binary64))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 #s(literal -1 binary64))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 #s(literal -1 binary64))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 #s(literal -1 binary64))) |
(* (cbrt x) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(* -1 (* x (- (* -1 (* (/ 1 x) (cbrt (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))))))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(fma.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x (cbrt.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (cbrt (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))))) (* 1/3 (* (pow (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 7)) 1/9) (/ 1 x)))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 7 binary64))) #s(literal 1/9 binary64)) x) #s(literal 1/3 binary64) (cbrt.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))) |
(* -1 (* x (- (* -1 (/ (+ (cbrt (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (* -1/3 (pow (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 7)) 1/9)) (* 1/9 (* (pow (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 11)) 1/9) (/ 1 x)))) x))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 11 binary64))) #s(literal 1/9 binary64)) x) #s(literal -1/9 binary64)) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 7 binary64))) #s(literal 1/9 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x))) (/.f64 #s(literal -1 binary64) x) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) x) |
(* (cbrt x) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(* (cbrt x) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(* (cbrt x) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(* (cbrt x) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ (+ (* 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 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 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)) |
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(/ (+ (* -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 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 10/243 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))) (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (*.f64 (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 16 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (* (sqrt (/ 1 (cbrt -1))) (sqrt -1)))) |
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(* 1/3 (* (cbrt (/ 1 (pow x 2))) (* (sqrt (/ 1 (cbrt -1))) (sqrt -1)))) |
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(* 1/3 (* (cbrt (/ 1 (pow x 2))) (* (sqrt (/ 1 (cbrt -1))) (sqrt -1)))) |
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(* (cbrt (/ 1 (pow x 2))) (* (sqrt (/ 1 (cbrt -1))) (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))))) |
(* (cbrt (/ 1 (pow x 2))) (* (sqrt (/ 1 (cbrt -1))) (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))))) |
(* (cbrt (/ 1 (pow x 2))) (* (sqrt (/ 1 (cbrt -1))) (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))))) |
(* (cbrt (/ 1 (pow x 2))) (* (sqrt (/ 1 (cbrt -1))) (sqrt -1))) |
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(* -1 (* (cbrt (pow x 4)) (cbrt -1))) |
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) |
(* -1 (* (cbrt (pow x 4)) (cbrt -1))) |
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) |
(* -1 (* (cbrt (pow x 4)) (cbrt -1))) |
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) |
(* -1 (* (cbrt (pow x 4)) (cbrt -1))) |
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) |
(* -1/3 (* (cbrt (pow x 4)) (cbrt -1))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 2) (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))))) |
(*.f64 (*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) x) x) (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/9 binary64)))) |
(* (pow x 2) (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))))) |
(*.f64 (*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) x) x) (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/9 binary64)))) |
(* (pow x 2) (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))))) |
(*.f64 (*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) x) x) (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/9 binary64)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ (+ (* 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 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 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 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (*.f64 (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 7 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (*.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 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 10/243 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))) (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (*.f64 (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 16 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 #s(literal -1 binary64))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 #s(literal -1 binary64))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 #s(literal -1 binary64))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 #s(literal -1 binary64))) |
(* (cbrt x) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(* -1 (* x (- (* -1 (* (/ 1 x) (cbrt (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))))))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(fma.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x (cbrt.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (cbrt (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))))) (* 1/3 (* (pow (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 7)) 1/9) (/ 1 x)))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 7 binary64))) #s(literal 1/9 binary64)) x) #s(literal 1/3 binary64) (cbrt.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))) |
(* -1 (* x (- (* -1 (/ (+ (cbrt (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (* -1/3 (pow (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 7)) 1/9)) (* 1/9 (* (pow (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 11)) 1/9) (/ 1 x)))) x))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 11 binary64))) #s(literal 1/9 binary64)) x) #s(literal -1/9 binary64)) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 7 binary64))) #s(literal 1/9 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x))) (/.f64 #s(literal -1 binary64) x) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) x) |
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/9 binary64))) (cbrt.f64 #s(literal -1 binary64))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/9 binary64))) (cbrt.f64 #s(literal -1 binary64))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/9 binary64))) (cbrt.f64 #s(literal -1 binary64))) |
(* 1/9 (* (cbrt x) (cbrt -1))) |
(*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/9 binary64)) (cbrt.f64 x)) |
(* 1/9 (* (cbrt x) (cbrt -1))) |
(*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/9 binary64)) (cbrt.f64 x)) |
(* 1/9 (* (cbrt x) (cbrt -1))) |
(*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/9 binary64)) (cbrt.f64 x)) |
(* 1/9 (* (cbrt x) (cbrt -1))) |
(*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/9 binary64)) (cbrt.f64 x)) |
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/9 binary64))) (cbrt.f64 #s(literal -1 binary64))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/9 binary64))) (cbrt.f64 #s(literal -1 binary64))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/9 binary64))) (cbrt.f64 #s(literal -1 binary64))) |
| 4 378× | lower-fma.f32 |
| 4 376× | lower-fma.f64 |
| 3 618× | lower-*.f32 |
| 3 606× | lower-*.f64 |
| 3 094× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 8589934737 |
| 0 | 64 | 182 |
| 1 | 226 | 158 |
| 2 | 1485 | 152 |
| 0 | 8648 | 139 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 1/3 binary64)) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (pow.f64 x #s(literal 1/3 binary64)))) |
(neg.f64 (pow.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) |
(*.f64 (cbrt.f64 x) x) |
(fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) |
#s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
(cbrt.f64 x) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (*.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (pow.f64 x #s(literal -2 binary64)))) |
(/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) |
(*.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (pow.f64 x #s(literal -2 binary64))) |
| Outputs |
|---|
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Compiled 26 189 to 2 983 computations (88.6% saved)
46 alts after pruning (38 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 242 | 20 | 1 262 |
| Fresh | 20 | 18 | 38 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 264 | 46 | 1 310 |
| Status | Accuracy | Program |
|---|---|---|
| 7.5% | (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/12 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 7.4% | (fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 6.1% | (fma.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64)))) #s(literal -1 binary64)) (neg.f64 (/.f64 x (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))))))) | |
| 3.8% | (fma.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (cbrt.f64 x))) | |
| 8.6% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))))) | |
| ✓ | 6.3% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| ✓ | 1.8% | (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
| 6.3% | (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) | |
| 77.1% | #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) x) x)) | |
| 50.0% | #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (*.f64 x x))) | |
| 77.0% | #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))) x))) | |
| 98.2% | #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (cbrt.f64 x)) (/.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))))) | |
| 46.8% | #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 7/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (pow.f64 x #s(literal -2 binary64)))) | |
| 97.0% | #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) | |
| 98.4% | #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 x) x) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x))) | |
| 98.4% | #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 x) x) (/.f64 (+.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) x))) | |
| 77.0% | #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (neg.f64 x)))) | |
| 50.0% | #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (*.f64 (neg.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) | |
| ✓ | 1.8% | #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (pow.f64 x #s(literal 1/3 binary64)))) |
| 5.2% | #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 (neg.f64 x)))) | |
| ✓ | 1.8% | #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
| 50.3% | #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) #s(approx (* (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x))) (pow x -2)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))) | |
| 49.5% | #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) | |
| 45.9% | #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 7/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) | |
| ✓ | 50.1% | #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
| 20.8% | #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x))) | |
| 20.6% | #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) | |
| 50.0% | #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (+.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) | |
| 97.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 97.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64))) | |
| 97.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) | |
| 96.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)))) | |
| 89.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) | |
| 76.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (cbrt.f64 x) x))) #s(literal 3 binary64)))) | |
| 97.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (cbrt.f64 x)) (cbrt.f64 x)))) | |
| 50.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64)))) | |
| 76.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) | |
| ✓ | 77.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) |
| 47.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) | |
| 89.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) | |
| ✓ | 97.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) |
| 96.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x))) #s(literal 2 binary64))) #s(literal 1/3 binary64))) | |
| 89.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) | |
| 50.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal 1/3 binary64))) | |
| 96.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) | |
| ✓ | 51.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
Compiled 1 943 to 876 computations (54.9% saved)
| Inputs |
|---|
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (pow.f64 x #s(literal 1/3 binary64)))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 (neg.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) #s(approx (* (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x))) (pow x -2)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (*.f64 x x))) |
#s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (+.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 x) x) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) x) x)) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (*.f64 (neg.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 x) x) (/.f64 (+.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) x))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))) x))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (neg.f64 x)))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (cbrt.f64 x)) (/.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 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)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (cbrt.f64 x)) (cbrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
#s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 #s(approx (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 (neg.f64 x) x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) (/.f64 #s(literal -1 binary64) (cbrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)) (neg.f64 (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 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))))) |
#s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) x) x)) |
#s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
#s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))))) |
#s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (neg.f64 x)))) |
#s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (neg.f64 x)))) |
#s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x)) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (neg.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 2 binary64)))) #s(literal 1/3 binary64))) |
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/12 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/6 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) x)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (exp.f64 (neg.f64 (log.f64 x))) x)) #s(literal 1/3 binary64))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (*.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (pow.f64 x #s(literal -2 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
#s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
#s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
#s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 7/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (pow.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) #s(literal -1 binary64)) (neg.f64 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 (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 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 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 7/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (pow.f64 x #s(literal -2 binary64)))) |
(fma.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (cbrt.f64 x))) |
#s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x))) |
(-.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 x))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) x)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (cbrt.f64 x) x)))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (cbrt.f64 x) x))) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))))) #s(literal 1/3 binary64))) |
(-.f64 (cbrt.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x))) #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (*.f64 x x))) |
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (cbrt.f64 x)) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64)))) #s(literal -1 binary64)) (neg.f64 (/.f64 x (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))))))) |
| Outputs |
|---|
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 x) x) (/.f64 (+.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) x))) |
2 calls:
| 35.0ms | x |
| 25.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | x |
| 98.4% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (pow.f64 x #s(literal 1/3 binary64)))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 (neg.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) #s(approx (* (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x))) (pow x -2)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (*.f64 x x))) |
#s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (+.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 x) x) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) x) x)) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (*.f64 (neg.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
| Outputs |
|---|
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 x) x) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x))) |
2 calls:
| 7.0ms | x |
| 6.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | x |
| 98.4% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (pow.f64 x #s(literal 1/3 binary64)))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 (neg.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) #s(approx (* (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x))) (pow x -2)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (*.f64 x x))) |
#s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (+.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (+.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
2 calls:
| 8.0ms | x |
| 5.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.4% | 2 | x |
| 89.2% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (pow.f64 x #s(literal 1/3 binary64)))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 (neg.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) #s(approx (* (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x))) (pow x -2)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.4% | 2 | x |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (pow.f64 x #s(literal 1/3 binary64)))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 (neg.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) #s(approx (* (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x))) (pow x -2)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.7% | 2 | x |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (pow.f64 x #s(literal 1/3 binary64)))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 (neg.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.6% | 2 | x |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (pow.f64 x #s(literal 1/3 binary64)))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 (neg.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.6% | 2 | x |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (pow.f64 x #s(literal 1/3 binary64)))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 (neg.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) |
2 calls:
| 4.0ms | x |
| 4.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.2% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 89.2% | 1 | x |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (pow.f64 x #s(literal 1/3 binary64)))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 (neg.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
2 calls:
| 3.0ms | x |
| 3.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.2% | 1 | x |
| 89.2% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (pow.f64 x #s(literal 1/3 binary64)))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 (neg.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
| Outputs |
|---|
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 (neg.f64 x)))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.2% | 1 | x |
| 5.2% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (pow.f64 x #s(literal 1/3 binary64)))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
| Outputs |
|---|
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 1.8% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 1.8% | 1 | x |
Compiled 8 to 7 computations (12.5% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (pow.f64 x #s(literal 1/3 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 1.8% | 1 | x |
| 1.8% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 8 to 7 computations (12.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 1.0517576849189345e+154 | 3.186196589709611e+156 |
| 21.0ms | 128× | 1 | valid |
Compiled 162 to 154 computations (4.9% saved)
ival-sub: 10.0ms (57.9% of total)ival-cbrt: 3.0ms (17.4% of total)adjust: 2.0ms (11.6% of total)ival-add: 1.0ms (5.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.0517576849189345e+154 | 3.186196589709611e+156 |
Compiled 154 to 146 computations (5.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.0517576849189345e+154 | 3.186196589709611e+156 |
Compiled 130 to 138 computations (-6.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.0517576849189345e+154 | 3.186196589709611e+156 |
Compiled 130 to 138 computations (-6.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.0517576849189345e+154 | 3.186196589709611e+156 |
Compiled 130 to 138 computations (-6.2% saved)
| 1× | egg-herbie |
| 26× | *-commutative-binary64-*.f64 |
| 10× | +-commutative-binary64-+.f64 |
| 8× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 6× | neg-sub0-binary64--.f64-neg.f64 |
| 6× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 21474836654 |
| 1 | 97 | 21474836654 |
| 2 | 104 | 21474836654 |
| 3 | 107 | 21474836654 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 x) x) (/.f64 (+.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) x))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 x) x) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (+.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (*.f64 x x))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64)))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal 1/3 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 (neg.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
| Outputs |
|---|
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 x) x) (/.f64 (+.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) x))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal -1/9 binary64)) x) (/.f64 (cbrt.f64 x) x))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 x) x) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x) (/.f64 (cbrt.f64 x) x))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (+.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal -1/9 binary64)) (cbrt.f64 x)) (*.f64 x x))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (*.f64 x x))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) (cbrt.f64 x)) (*.f64 x x))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64)))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (cbrt.f64 (*.f64 x x))))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal 1/3 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 (neg.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (- (pow (exp (neg (log (+ 1 x)))) -1/3) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
| 8 992× | lower-fma.f64 |
| 8 992× | lower-fma.f32 |
| 6 306× | lower-fma.f64 |
| 6 306× | lower-fma.f32 |
| 5 968× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 4294967478 |
| 0 | 78 | 195 |
| 1 | 248 | 165 |
| 2 | 1517 | 161 |
| 0 | 8883 | 146 |
| 0 | 6 | 16 |
| 0 | 10 | 16 |
| 1 | 43 | 16 |
| 2 | 282 | 16 |
| 3 | 3101 | 16 |
| 0 | 9092 | 16 |
| 0 | 146 | 602 |
| 1 | 350 | 564 |
| 2 | 902 | 564 |
| 3 | 2613 | 561 |
| 4 | 5974 | 561 |
| 0 | 8120 | 528 |
| 0 | 371 | 42949675936 |
| 1 | 991 | 42949675705 |
| 2 | 3011 | 42949675491 |
| 0 | 8495 | 2726 |
| 0 | 44 | 8589934737 |
| 0 | 64 | 182 |
| 1 | 226 | 158 |
| 2 | 1485 | 152 |
| 0 | 8648 | 139 |
| 0 | 32 | 137 |
| 0 | 55 | 112 |
| 1 | 197 | 104 |
| 2 | 1301 | 104 |
| 0 | 8592 | 100 |
| 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× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 613 to 425 computations (30.7% saved)
Compiled 374 to 150 computations (59.9% saved)
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