
Time bar (total: 7.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 0 |
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 1 |
| 50% | 12.5% | 12.5% | 75% | 0% | 0% | 0% | 2 |
| 75% | 18.7% | 6.2% | 75% | 0% | 0% | 0% | 3 |
| 87.5% | 21.9% | 3.1% | 75% | 0% | 0% | 0% | 4 |
| 93.8% | 23.4% | 1.6% | 75% | 0% | 0% | 0% | 5 |
| 96.9% | 24.2% | 0.8% | 75% | 0% | 0% | 0% | 6 |
| 98.4% | 24.6% | 0.4% | 75% | 0% | 0% | 0% | 7 |
| 99.2% | 24.8% | 0.2% | 75% | 0% | 0% | 0% | 8 |
| 99.6% | 24.9% | 0.1% | 75% | 0% | 0% | 0% | 9 |
| 99.8% | 24.9% | 0% | 75% | 0% | 0% | 0% | 10 |
| 99.9% | 25% | 0% | 75% | 0% | 0% | 0% | 11 |
| 100% | 25% | 0% | 75% | 0% | 0% | 0% | 12 |
Compiled 15 to 11 computations (26.7% saved)
| 1.5s | 6 348× | 1 | valid |
| 357.0ms | 1 647× | 2 | valid |
| 17.0ms | 261× | 0 | valid |
const: 506.0ms (35.5% of total)ival-cbrt: 345.0ms (24.2% of total)ival-add: 193.0ms (13.5% of total)adjust: 187.0ms (13.1% of total)ival-sub: 122.0ms (8.6% of total)ival->: 26.0ms (1.8% of total)ival-<: 21.0ms (1.5% of total)ival-and: 13.0ms (0.9% of total)exact: 7.0ms (0.5% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 255 | 0 | - | 0 | - | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (cbrt.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) | cancellation | 255 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 255 | 0 |
| - | 0 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 255 | 0 | 0 |
| - | 0 | 0 | 1 |
| number | freq |
|---|---|
| 0 | 1 |
| 1 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 43.0ms | 376× | 1 | valid |
| 19.0ms | 120× | 2 | valid |
| 1.0ms | 16× | 0 | valid |
Compiled 65 to 34 computations (47.7% saved)
ival-cbrt: 16.0ms (39% of total)adjust: 11.0ms (26.8% of total)ival-add: 7.0ms (17.1% of total)ival-sub: 5.0ms (12.2% 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 |
|---|---|---|
| ▶ | 6.7% | (-.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 | 0.5768738281475362 | (cbrt.f64 x) | |
| accuracy | 0.5791588379159782 | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 59.68321396770437 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 23.0ms | 188× | 1 | valid |
| 9.0ms | 60× | 2 | valid |
| 0.0ms | 8× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-cbrt: 8.0ms (34.4% of total)adjust: 8.0ms (34.4% of total)ival-sub: 4.0ms (17.2% of total)ival-add: 3.0ms (12.9% 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 | |
|---|---|---|---|---|
| 9.0ms | 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 |
|---|
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 4/3 binary64))) (pow.f64 (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x x))) #s(literal 2 binary64)))) (-.f64 (-.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x x x)))) |
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (fma.f64 (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) x (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x x))) (-.f64 (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x x))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 4/3 binary64))))) |
(*.f64 (/.f64 (-.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (-.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (-.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) x) x)) (fma.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (-.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (neg.f64 (-.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x)) (pow.f64 (neg.f64 (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (pow.f64 (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (pow.f64 (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))) |
(pow.f64 (/.f64 (pow.f64 (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
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(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 (exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 x)))) |
(neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) |
(neg.f64 (-.f64 x #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)) (sqrt.f64 x) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)) (sqrt.f64 x) #s(literal 1 binary64)) |
(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)) |
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(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)) |
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 7 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (neg.f64 (cbrt.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (cbrt.f64 x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64))) #s(literal 1 binary64)) |
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 7 binary64))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 x) (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (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)) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) |
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log1p.f64 x)) #s(literal 3/2 binary64))) |
(exp.f64 (log1p.f64 x)) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64)))) |
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/9 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 1/3 binary64)) |
(cbrt.f64 x) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2/3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/6 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (cbrt.f64 x))) |
Compiled 7 636 to 1 337 computations (82.5% saved)
27 alts after pruning (26 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 377 | 26 | 403 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 377 | 27 | 404 |
| Status | Accuracy | Program |
|---|---|---|
| 5.7% | (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))) | |
| 5.0% | (-.f64 (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) (cbrt.f64 x)) | |
| 5.7% | (-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x)) | |
| ▶ | 6.2% | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) (cbrt.f64 x)) |
| 7.1% | (-.f64 (exp.f64 (-.f64 (log1p.f64 x) (*.f64 #s(literal 2/3 binary64) (log1p.f64 x)))) (cbrt.f64 x)) | |
| 5.2% | (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x)) | |
| 6.7% | (-.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)) | |
| 6.6% | (-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| 7.7% | (-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| 6.6% | (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| 6.7% | (-.f64 (cbrt.f64 (fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) (cbrt.f64 x)) | |
| 4.1% | (-.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 x)) | |
| ▶ | 7.6% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
| 7.6% | (-.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))) | |
| 7.6% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| 6.1% | (-.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)))) | |
| ✓ | 6.7% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| ▶ | 6.2% | (-.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)))) | |
| 20.6% | #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))) | |
| 20.2% | #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))) | |
| 20.9% | #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))) | |
| ▶ | 52.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
Compiled 651 to 514 computations (21% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 (neg.f64 (log1p.f64 x))) | |
| cost-diff | 0 | (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) (cbrt.f64 x)) | |
| cost-diff | 0 | (log1p.f64 x) | |
| cost-diff | 0 | (cbrt.f64 (exp.f64 (log1p.f64 x))) | |
| cost-diff | 0 | (-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x)) | |
| cost-diff | 12608 | (exp.f64 (log1p.f64 x)) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (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 (/.f64 #s(literal 1 binary64) x) x) | |
| cost-diff | 0 | (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) | |
| cost-diff | 0 | (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) | |
| 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))) |
| 280× | lower-fma.f64 |
| 280× | lower-fma.f32 |
| 178× | lower-*.f32 |
| 176× | lower-*.f64 |
| 108× | lower-+.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 143 |
| 0 | 53 | 143 |
| 1 | 72 | 143 |
| 2 | 90 | 137 |
| 3 | 111 | 137 |
| 4 | 139 | 137 |
| 5 | 192 | 137 |
| 6 | 284 | 137 |
| 7 | 352 | 137 |
| 8 | 431 | 137 |
| 9 | 480 | 137 |
| 10 | 508 | 137 |
| 0 | 508 | 137 |
| 1× | iter limit |
| 1× | saturated |
| 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 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x)) |
(cbrt.f64 (exp.f64 (log1p.f64 x))) |
(exp.f64 (log1p.f64 x)) |
(log1p.f64 x) |
x |
(cbrt.f64 x) |
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) (cbrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) |
#s(literal 1 binary64) |
(cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x)))) |
(exp.f64 (neg.f64 (log1p.f64 x))) |
(neg.f64 (log1p.f64 x)) |
(log1p.f64 x) |
x |
(cbrt.f64 x) |
| 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) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(/.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 #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) |
(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 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) |
(cbrt.f64 (exp.f64 (log1p.f64 x))) |
(cbrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(exp.f64 (log1p.f64 x)) |
(+.f64 #s(literal 1 binary64) x) |
(log1p.f64 x) |
x |
(cbrt.f64 x) |
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) (cbrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) |
#s(literal 1 binary64) |
(cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x)))) |
(exp.f64 (neg.f64 (log1p.f64 x))) |
(neg.f64 (log1p.f64 x)) |
(log1p.f64 x) |
x |
(cbrt.f64 x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.5768738281475362 | (cbrt.f64 x) | |
| accuracy | 0.6238251953688406 | (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x)))) | |
| accuracy | 5.771198698738412 | (exp.f64 (neg.f64 (log1p.f64 x))) | |
| accuracy | 59.68321396770437 | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) (cbrt.f64 x)) | |
| accuracy | 0.5768738281475362 | (cbrt.f64 x) | |
| accuracy | 0.5791588379159782 | (cbrt.f64 (exp.f64 (log1p.f64 x))) | |
| accuracy | 5.826147250521485 | (exp.f64 (log1p.f64 x)) | |
| accuracy | 59.68321396770437 | (-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x)) | |
| accuracy | 0.4840812988422101 | (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0.5791588379159782 | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 4.217215758610837 | (pow.f64 x #s(literal 1/6 binary64)) | |
| accuracy | 59.68321396770437 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) | |
| accuracy | 0.5768738281475362 | (cbrt.f64 x) | |
| accuracy | 59.06650918781403 | #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) | |
| accuracy | 59.68321396770437 | (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) | |
| accuracy | 0.13671875 | (/.f64 (/.f64 #s(literal 1 binary64) x) x) | |
| accuracy | 0.3359375 | (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) | |
| accuracy | 1.194768471338796 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) | |
| accuracy | 29.341479943654015 | (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
| 115.0ms | 188× | 1 | valid |
| 69.0ms | 60× | 2 | valid |
| 2.0ms | 8× | 0 | valid |
Compiled 152 to 27 computations (82.2% saved)
ival-pow: 28.0ms (18.1% of total)ival-exp: 24.0ms (15.5% of total)ival-cbrt: 21.0ms (13.5% of total)adjust: 17.0ms (11% of total)const: 15.0ms (9.7% of total)ival-log1p: 13.0ms (8.4% of total)ival-sub: 12.0ms (7.7% of total)ival-div: 9.0ms (5.8% of total)ival-pow2: 7.0ms (4.5% of total)ival-add: 3.0ms (1.9% of total)ival-neg: 2.0ms (1.3% of total)ival-mult: 2.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#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 (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 (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 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) 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 (exp.f64 (log1p.f64 x)) (patch (exp.f64 (log1p.f64 x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 (exp.f64 (log1p.f64 x))) (patch (cbrt.f64 (exp.f64 (log1p.f64 x))) #<representation binary64>) () ()) |
#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) (cbrt.f64 x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) (cbrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) (patch (/.f64 #s(literal 1 binary64) (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x)))) (patch (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x)))) #<representation binary64>) () ()) |
#s(alt (exp.f64 (neg.f64 (log1p.f64 x))) (patch (exp.f64 (neg.f64 (log1p.f64 x))) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 1/6 binary64)) (patch (pow.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#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 (* 1/3 (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 (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#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 (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#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 (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#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 (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#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 (/ 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 (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>) () ())) ()) |
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#s(alt (+ (cbrt (exp (neg (+ (log -1) (* -1 (log (/ -1 x))))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (* (/ (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/27 (cbrt (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 7))) (* 2/3 (* (pow (* 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 4)) 1/9) (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/3 (pow (* 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 17)) 1/9))))))) x) (cbrt (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2))))) (* 1/3 (* (cbrt (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2))) (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/3 (pow (* 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 17)) 1/9)))))) x)) (* 1/3 (pow (* 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 7)) 1/9))) x))) (taylor -inf x) (#s(alt (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x)))) (patch (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (log1p.f64 x))) (patch (exp.f64 (neg.f64 (log1p.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) x))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (log1p.f64 x))) (patch (exp.f64 (neg.f64 (log1p.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (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))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (log1p.f64 x))) (patch (exp.f64 (neg.f64 (log1p.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (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))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (log1p.f64 x))) (patch (exp.f64 (neg.f64 (log1p.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 1/6 binary64)) (patch (pow.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 1/6 binary64)) (patch (pow.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 1/6 binary64)) (patch (pow.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 1/6 binary64)) (patch (pow.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | x | @ | 0 | ((- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (/ (/ 1 x) x)) 1/3) (cbrt (/ (/ 1 x) x)) (/ (/ 1 x) 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) (exp (log (+ 1 x))) (- (cbrt (exp (log (+ 1 x)))) (cbrt x)) (cbrt (exp (log (+ 1 x)))) (log (+ 1 x)) (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt (exp (neg (log (+ 1 x))))) (exp (neg (log (+ 1 x)))) (pow x 1/6)) |
| 32.0ms | x | @ | -inf | ((- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (/ (/ 1 x) x)) 1/3) (cbrt (/ (/ 1 x) x)) (/ (/ 1 x) 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) (exp (log (+ 1 x))) (- (cbrt (exp (log (+ 1 x)))) (cbrt x)) (cbrt (exp (log (+ 1 x)))) (log (+ 1 x)) (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt (exp (neg (log (+ 1 x))))) (exp (neg (log (+ 1 x)))) (pow x 1/6)) |
| 13.0ms | x | @ | inf | ((- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (/ (/ 1 x) x)) 1/3) (cbrt (/ (/ 1 x) x)) (/ (/ 1 x) 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) (exp (log (+ 1 x))) (- (cbrt (exp (log (+ 1 x)))) (cbrt x)) (cbrt (exp (log (+ 1 x)))) (log (+ 1 x)) (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt (exp (neg (log (+ 1 x))))) (exp (neg (log (+ 1 x)))) (pow x 1/6)) |
| 1× | egg-herbie |
| 8 626× | lower-fma.f64 |
| 8 626× | lower-fma.f32 |
| 5 110× | lower-*.f64 |
| 5 110× | lower-*.f32 |
| 3 366× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 422 | 68719479597 |
| 1 | 1080 | 68719479372 |
| 2 | 3251 | 68719479275 |
| 0 | 8284 | 3062 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (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))) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
1 |
(+ 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 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))))) |
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 (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 (* -1/3 x)) |
(+ 1 (* x (- (* 2/9 x) 1/3))) |
(+ 1 (* x (- (* x (+ 2/9 (* -14/81 x))) 1/3))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(* 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))) |
(/ 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 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))) |
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)))))))) |
(* -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))) |
(* -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))))) |
(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)))))) |
(cbrt (exp (neg (* -1 (log (/ 1 x)))))) |
(+ (cbrt (exp (neg (* -1 (log (/ 1 x)))))) (* -1/3 (* (pow (* 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 7)) 1/9) (/ 1 x)))) |
(+ (cbrt (exp (neg (* -1 (log (/ 1 x)))))) (+ (* -1/3 (* (pow (* 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 7)) 1/9) (/ 1 x))) (* 1/3 (* (/ (- (exp (neg (* -1 (log (/ 1 x))))) (* 1/3 (pow (* 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 17)) 1/9))) (pow x 2)) (cbrt (/ 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 2))))))) |
(+ (cbrt (exp (neg (* -1 (log (/ 1 x)))))) (+ (* -1/3 (* (pow (* 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 7)) 1/9) (/ 1 x))) (+ (* 1/3 (* (/ (- (exp (neg (* -1 (log (/ 1 x))))) (* 1/3 (pow (* 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 17)) 1/9))) (pow x 2)) (cbrt (/ 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 2))))) (* 1/3 (* (/ (- (* -1 (exp (neg (* -1 (log (/ 1 x)))))) (+ (* -2/3 (* (pow (* 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 4)) 1/9) (- (exp (neg (* -1 (log (/ 1 x))))) (* 1/3 (pow (* 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 17)) 1/9))))) (* -1/27 (cbrt (pow (exp (neg (* -1 (log (/ 1 x))))) 7))))) (pow x 3)) (cbrt (/ 1 (pow (exp (neg (* -1 (log (/ 1 x))))) 2)))))))) |
(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))))) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(* 1/3 (* (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))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 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))))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(* (cbrt x) (cbrt -1)) |
(* -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 (/ 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))) |
(cbrt (exp (neg (+ (log -1) (* -1 (log (/ -1 x))))))) |
(+ (cbrt (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 (exp (neg (+ (log -1) (* -1 (log (/ -1 x))))))) (* -1 (/ (+ (* -1/3 (* (/ (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/3 (pow (* 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 17)) 1/9))) x) (cbrt (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2))))) (* 1/3 (pow (* 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 7)) 1/9))) x))) |
(+ (cbrt (exp (neg (+ (log -1) (* -1 (log (/ -1 x))))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (* (/ (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/27 (cbrt (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 7))) (* 2/3 (* (pow (* 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 4)) 1/9) (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/3 (pow (* 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 17)) 1/9))))))) x) (cbrt (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2))))) (* 1/3 (* (cbrt (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2))) (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/3 (pow (* 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 17)) 1/9)))))) 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))) |
(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)))))) |
| 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))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ 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))) |
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)) |
(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 #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)) |
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 #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)) |
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 #s(literal 1/3 binary64) x #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 (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 (* -1/3 x)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* 2/9 x) 1/3))) |
(fma.f64 (fma.f64 #s(literal 2/9 binary64) x #s(literal -1/3 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 2/9 (* -14/81 x))) 1/3))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -14/81 binary64) x #s(literal 2/9 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)) |
(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)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (fma.f64 (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 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x)) |
(/ (+ (* -1/9 (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 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (*.f64 x x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
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(*.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 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (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 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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))))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (fma.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.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))))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x)) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x)) |
(* (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 (*.f64 (neg.f64 x) #s(literal -1 binary64))) x) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) 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 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 7 binary64))) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)) (cbrt.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)))) (/.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 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 11 binary64))) #s(literal 1/9 binary64)) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 7 binary64))) #s(literal 1/9 binary64)) #s(literal -1/3 binary64))) (/.f64 #s(literal -1 binary64) x) (cbrt.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) x))) (neg.f64 x)) |
(cbrt (/ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))))) |
(cbrt.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(+ (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)))) |
(fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 7 binary64))) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)) (cbrt.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(+ (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))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 11 binary64))) #s(literal 1/9 binary64)) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 7 binary64))) #s(literal 1/9 binary64)) #s(literal -1/3 binary64))) (/.f64 #s(literal -1 binary64) x) (cbrt.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(+ (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))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 2 binary64)))) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 7 binary64)))) x) #s(literal 5/27 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 11 binary64))) #s(literal 1/9 binary64)) #s(literal -1/9 binary64))) (/.f64 #s(literal -1 binary64) x) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 7 binary64))) #s(literal 1/9 binary64)) #s(literal -1/3 binary64))) (/.f64 #s(literal -1 binary64) x) (cbrt.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(cbrt (exp (neg (+ (log -1) (* -1 (log (/ -1 x))))))) |
(cbrt.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x))) |
(+ (cbrt (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)))) |
(fma.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 7 binary64)) #s(literal 1/9 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)))) |
(+ (cbrt (exp (neg (+ (log -1) (* -1 (log (/ -1 x))))))) (* -1 (/ (+ (* -1/3 (* (/ (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/3 (pow (* 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 17)) 1/9))) x) (cbrt (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2))))) (* 1/3 (pow (* 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 7)) 1/9))) x))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 17 binary64)) #s(literal 1/9 binary64)) #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (neg.f64 x))) x) #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 2 binary64)))) (*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 7 binary64)) #s(literal 1/9 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal -1 binary64) x) (cbrt.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)))) |
(+ (cbrt (exp (neg (+ (log -1) (* -1 (log (/ -1 x))))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (* (/ (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/27 (cbrt (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 7))) (* 2/3 (* (pow (* 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 4)) 1/9) (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/3 (pow (* 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 17)) 1/9))))))) x) (cbrt (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2))))) (* 1/3 (* (cbrt (/ 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2))) (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/3 (pow (* 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 17)) 1/9)))))) x)) (* 1/3 (pow (* 1 (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 7)) 1/9))) x))) |
(fma.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal -1/3 binary64) x) (fma.f64 (neg.f64 (*.f64 #s(literal 2/3 binary64) (fma.f64 (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 17 binary64)) #s(literal 1/9 binary64)) #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (neg.f64 x))))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 4 binary64)) #s(literal 1/9 binary64)) (fma.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 7 binary64))) #s(literal -1/27 binary64) (/.f64 #s(literal -1 binary64) (neg.f64 x)))) (*.f64 #s(literal 1/3 binary64) (fma.f64 (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 17 binary64)) #s(literal 1/9 binary64)) #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (neg.f64 x)))))) (/.f64 #s(literal -1 binary64) x) (*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 7 binary64)) #s(literal 1/9 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal -1 binary64) x) (cbrt.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)))) |
(exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(+ (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) 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))) |
(-.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) 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))) |
(-.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) x)) x)) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1/6 binary64)) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1/6 binary64)) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1/6 binary64)) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1/6 binary64)) |
| 6 920× | lower-fma.f64 |
| 6 920× | lower-fma.f32 |
| 3 902× | lower-*.f32 |
| 3 900× | lower-*.f64 |
| 3 048× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 119 |
| 0 | 53 | 107 |
| 1 | 177 | 99 |
| 2 | 976 | 99 |
| 0 | 8924 | 96 |
| 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(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)) |
(exp.f64 (log1p.f64 x)) |
(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x)) |
(cbrt.f64 (exp.f64 (log1p.f64 x))) |
(log1p.f64 x) |
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) (cbrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) |
(cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x)))) |
(exp.f64 (neg.f64 (log1p.f64 x))) |
(pow.f64 x #s(literal 1/6 binary64)) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/12 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/12 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/12 binary64)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/12 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))) (neg.f64 (cbrt.f64 x))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) (neg.f64 (cbrt.f64 x))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/12 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) |
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(*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) |
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(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64)))) (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(*.f64 (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x)))) (pow.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))) #s(literal -1 binary64))) |
(*.f64 (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))))) |
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 x)))) |
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 x)) |
(pow.f64 (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal 3 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 #s(literal -1 binary64) x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (neg.f64 x)) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (neg.f64 x)) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (neg.f64 x)) #s(literal 2 binary64))) (fma.f64 x x (neg.f64 x))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (*.f64 (neg.f64 x) x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (neg.f64 x)))) |
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 x x))))) |
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (fma.f64 x x (neg.f64 x))))) |
(/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (fma.f64 (neg.f64 x) x (+.f64 #s(literal -1 binary64) x)) (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 x))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x (neg.f64 x)) (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x) (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x (neg.f64 x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 x x (neg.f64 x)) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 x x) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x x (neg.f64 x)) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 x x) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (fma.f64 x x (neg.f64 x)) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 x))) |
(+.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(+.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x (neg.f64 x))) (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x (neg.f64 x)))) |
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))) |
(+.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x x (neg.f64 x)) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log1p.f64 x))) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) |
(exp.f64 (neg.f64 (log1p.f64 x))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/24 binary64))) (pow.f64 x #s(literal 1/24 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/12 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/12 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/12 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/6 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) |
(pow.f64 x #s(literal 1/6 binary64)) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/12 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/12 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/6 binary64))) |
Compiled 27 677 to 3 579 computations (87.1% saved)
45 alts after pruning (42 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 471 | 40 | 1 511 |
| Fresh | 19 | 2 | 21 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 493 | 45 | 1 538 |
| Status | Accuracy | Program |
|---|---|---|
| 4.5% | (fma.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (neg.f64 (cbrt.f64 x))) | |
| 7.7% | (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/12 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) | |
| 5.7% | (fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (cbrt.f64 x))) | |
| 4.2% | (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))) | |
| 7.9% | (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))))) | |
| 7.9% | (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (+.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (neg.f64 (cbrt.f64 (fma.f64 x x x))))) | |
| 5.2% | (/.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (+.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))) | |
| 6.4% | (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) | |
| 6.5% | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 x)) | |
| ▶ | 5.2% | (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x)) |
| 4.1% | (-.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) | |
| 7.6% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| ✓ | 6.7% | (-.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)) |
| 6.7% | (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) | |
| ▶ | 1.8% | #s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
| 20.6% | #s(approx (- (cbrt (+ x 1)) (pow (pow x 1/6) 2)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x))) | |
| 20.2% | #s(approx (- (cbrt (+ x 1)) (pow (pow x 1/6) 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))) | |
| 50.3% | #s(approx (- (cbrt (+ x 1)) (pow (pow x 1/6) 2)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) | |
| 96.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) | |
| 96.5% | #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))) | |
| 96.4% | #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))))) | |
| 96.4% | #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))))) | |
| 96.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) | |
| 46.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) | |
| 96.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) | |
| 88.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) | |
| 93.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/12 binary64))))) | |
| 96.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) #s(literal 1/3 binary64))) | |
| ▶ | 96.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) |
| 50.4% | #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))) | |
| ▶ | 96.5% | #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))) |
| 96.4% | #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)))) | |
| 96.4% | #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)))) | |
| 96.4% | #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))) | |
| 96.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) | |
| 89.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) | |
| 90.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))))) #s(literal 1/3 binary64))) | |
| 51.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64))) | |
| ✓ | 52.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
| ▶ | 52.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) |
| 52.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal 1/2 binary64))))) #s(literal 1/3 binary64))) | |
| 52.2% | #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))) | |
| 49.3% | #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 1 051 to 817 computations (22.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) | |
| cost-diff | 704 | (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 13248 | (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (log1p.f64 x) | |
| cost-diff | 0 | (*.f64 (log1p.f64 x) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x)) | |
| cost-diff | 6528 | (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (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 | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (cbrt.f64 x) | |
| cost-diff | 0 | (neg.f64 (cbrt.f64 x)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (cbrt.f64 x))) | |
| cost-diff | 0 | (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 0 | (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) | |
| cost-diff | 0 | (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) | |
| 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))) |
| 338× | lower-fma.f64 |
| 338× | lower-fma.f32 |
| 322× | lower-*.f32 |
| 312× | lower-*.f64 |
| 136× | lower-+.f64 |
Useful iterations: 10 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 210 |
| 0 | 64 | 196 |
| 1 | 96 | 178 |
| 2 | 133 | 178 |
| 3 | 155 | 178 |
| 4 | 189 | 178 |
| 5 | 241 | 178 |
| 6 | 320 | 178 |
| 7 | 384 | 178 |
| 8 | 466 | 178 |
| 9 | 519 | 178 |
| 10 | 685 | 170 |
| 11 | 768 | 170 |
| 12 | 822 | 170 |
| 13 | 850 | 170 |
| 14 | 854 | 170 |
| 0 | 854 | 170 |
| 1× | iter limit |
| 1× | saturated |
| 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 (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (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) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x)) |
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) |
(*.f64 (log1p.f64 x) #s(literal 1/3 binary64)) |
(log1p.f64 x) |
x |
#s(literal 1/3 binary64) |
(cbrt.f64 x) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64)) |
(cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) |
(pow.f64 x #s(literal -1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 1/3 binary64) |
| 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 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (/.f64 #s(literal -1 binary64) 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 1/3 binary64) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) |
(cbrt.f64 (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(cbrt.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(literal 1/3 binary64) |
#s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (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))) |
#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) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (cbrt.f64 x)) |
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) |
(cbrt.f64 (-.f64 x #s(literal -1 binary64))) |
(*.f64 (log1p.f64 x) #s(literal 1/3 binary64)) |
(log1p.f64 x) |
x |
#s(literal 1/3 binary64) |
(cbrt.f64 x) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) |
(cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(cbrt.f64 (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) |
(pow.f64 x #s(literal -1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 x #s(literal -1/2 binary64)) |
#s(literal 1 binary64) |
#s(literal 1/3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.201503759768442 | (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| accuracy | 0.3359375 | (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64)) | |
| accuracy | 1.194768471338796 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) | |
| accuracy | 29.341479943654015 | (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| accuracy | 0.37890625 | (*.f64 (log1p.f64 x) #s(literal 1/3 binary64)) | |
| accuracy | 0.5768738281475362 | (cbrt.f64 x) | |
| accuracy | 4.24642146224956 | (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) | |
| accuracy | 59.68321396770437 | (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x)) | |
| accuracy | 0.3359375 | (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) | |
| accuracy | 0.510097509768442 | (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) | |
| accuracy | 0.5768738281475362 | (cbrt.f64 x) | |
| accuracy | 1.194768471338796 | #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 | 0.5768738281475362 | (cbrt.f64 x) | |
| accuracy | 62.86630564519123 | #s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (cbrt.f64 x))) | |
| accuracy | 0.35384750976844204 | (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) | |
| accuracy | 0.5768738281475362 | (cbrt.f64 (neg.f64 x)) | |
| accuracy | 0.6378289551372827 | (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 1.194768471338796 | #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))) |
| 122.0ms | 188× | 1 | valid |
| 89.0ms | 60× | 2 | valid |
| 3.0ms | 8× | 0 | valid |
Compiled 183 to 37 computations (79.8% saved)
ival-exp: 51.0ms (28.4% of total)ival-cbrt: 17.0ms (9.5% of total)adjust: 15.0ms (8.4% of total)ival-div: 15.0ms (8.4% of total)ival-sub: 15.0ms (8.4% of total)ival-log1p: 15.0ms (8.4% of total)ival-mult: 15.0ms (8.4% of total)ival-pow2: 11.0ms (6.1% of total)const: 10.0ms (5.6% of total)ival-neg: 6.0ms (3.3% of total)ival-pow: 6.0ms (3.3% of total)ival-add: 4.0ms (2.2% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#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 (*.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 (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 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (patch (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (cbrt.f64 x))) (patch #s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (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 (/.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 #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 (/.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 (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 (log1p.f64 x) #s(literal 1/3 binary64))) (patch (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x)) (patch (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (log1p.f64 x) #s(literal 1/3 binary64)) (patch (*.f64 (log1p.f64 x) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 (neg.f64 x)) (patch (cbrt.f64 (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (patch (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#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 (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#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 (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#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 (- (+ 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 (/.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 (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 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 0 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 0 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 0 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 (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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#s(alt (* (cbrt (/ 1 x)) (cbrt -1)) (taylor 0 x) (#s(alt (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (patch (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (cbrt (/ 1 x)) (cbrt -1)) (taylor 0 x) (#s(alt (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (patch (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (cbrt (/ 1 x)) (cbrt -1)) (taylor 0 x) (#s(alt (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (patch (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (cbrt (/ 1 x)) (cbrt -1)) (taylor 0 x) (#s(alt (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (patch (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (cbrt.f64 x))) (patch #s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (cbrt.f64 x))) (patch #s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (cbrt.f64 x))) (patch #s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (cbrt.f64 x))) (patch #s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (cbrt x)) (taylor 0 x) (#s(alt (neg.f64 (cbrt.f64 x)) (patch (neg.f64 (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (cbrt x)) (taylor 0 x) (#s(alt (neg.f64 (cbrt.f64 x)) (patch (neg.f64 (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (cbrt x)) (taylor 0 x) (#s(alt (neg.f64 (cbrt.f64 x)) (patch (neg.f64 (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (cbrt x)) (taylor 0 x) (#s(alt (neg.f64 (cbrt.f64 x)) (patch (neg.f64 (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 (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 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 0 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 0 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 0 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 (cbrt x)) (taylor 0 x) (#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 (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#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 (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#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 (- (+ 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 (/.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 (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#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 (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#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 (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#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 (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#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 (cbrt (pow x 2)) (taylor 0 x) (#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 (pow x 2)) (taylor 0 x) (#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 (pow x 2)) (taylor 0 x) (#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 (pow x 2)) (taylor 0 x) (#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 1 (taylor 0 x) (#s(alt (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (patch (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/3 x)) (taylor 0 x) (#s(alt (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (patch (exp.f64 (*.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 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (patch (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (*.f64 (log1p.f64 x) #s(literal 1/3 binary64)) (patch (*.f64 (log1p.f64 x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))) (* 1/3 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (log1p.f64 x) #s(literal 1/3 binary64)) (patch (*.f64 (log1p.f64 x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- (* 1/6 (/ 1 x)) 1/3) x)) (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (*.f64 (log1p.f64 x) #s(literal 1/3 binary64)) (patch (*.f64 (log1p.f64 x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/6) x)) 1/3) x)) (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (*.f64 (log1p.f64 x) #s(literal 1/3 binary64)) (patch (*.f64 (log1p.f64 x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) (taylor -inf x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) (taylor -inf x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) (taylor -inf x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (pow (sqrt -1) 2) (pow x 2))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (pow (sqrt -1) 2) (pow x 2))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (pow (sqrt -1) 2) (pow x 2))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (pow (sqrt -1) 2) (pow x 2))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) (taylor -inf x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) #<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 #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) #<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 #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) #<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 #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1))) (taylor -inf x) (#s(alt (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1))) (taylor -inf x) (#s(alt (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1))) (taylor -inf x) (#s(alt (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1))) (taylor -inf x) (#s(alt (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 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 (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1)) (taylor -inf x) (#s(alt (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (patch (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1)) (taylor -inf x) (#s(alt (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (patch (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1)) (taylor -inf x) (#s(alt (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (patch (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1)) (taylor -inf x) (#s(alt (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (patch (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | x | @ | -inf | ((- (cbrt (+ x 1)) (cbrt x)) (* (/ (cbrt (/ -1 x)) (cbrt (neg x))) 1/3) (/ (cbrt (/ -1 x)) (cbrt (neg x))) (cbrt (/ -1 x)) (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg (cbrt x)) (cbrt x) (* (/ 1 (pow (cbrt x) 2)) 1/3) (- (cbrt (+ x 1)) (cbrt x)) (/ 1 (pow (cbrt x) 2)) (pow (cbrt x) 2) (exp (* (log (+ 1 x)) 1/3)) (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (* (log (+ 1 x)) 1/3) (log (+ 1 x)) (* (/ (pow x -1/2) x) (/ (pow x -1/2) 1)) (/ (pow x -1/2) 1) (- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (* (/ (pow x -1/2) x) (/ (pow x -1/2) 1))) 1/3) (cbrt (neg x)) (cbrt (* (/ (pow x -1/2) x) (/ (pow x -1/2) 1)))) |
| 7.0ms | x | @ | inf | ((- (cbrt (+ x 1)) (cbrt x)) (* (/ (cbrt (/ -1 x)) (cbrt (neg x))) 1/3) (/ (cbrt (/ -1 x)) (cbrt (neg x))) (cbrt (/ -1 x)) (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg (cbrt x)) (cbrt x) (* (/ 1 (pow (cbrt x) 2)) 1/3) (- (cbrt (+ x 1)) (cbrt x)) (/ 1 (pow (cbrt x) 2)) (pow (cbrt x) 2) (exp (* (log (+ 1 x)) 1/3)) (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (* (log (+ 1 x)) 1/3) (log (+ 1 x)) (* (/ (pow x -1/2) x) (/ (pow x -1/2) 1)) (/ (pow x -1/2) 1) (- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (* (/ (pow x -1/2) x) (/ (pow x -1/2) 1))) 1/3) (cbrt (neg x)) (cbrt (* (/ (pow x -1/2) x) (/ (pow x -1/2) 1)))) |
| 7.0ms | x | @ | 0 | ((- (cbrt (+ x 1)) (cbrt x)) (* (/ (cbrt (/ -1 x)) (cbrt (neg x))) 1/3) (/ (cbrt (/ -1 x)) (cbrt (neg x))) (cbrt (/ -1 x)) (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg (cbrt x)) (cbrt x) (* (/ 1 (pow (cbrt x) 2)) 1/3) (- (cbrt (+ x 1)) (cbrt x)) (/ 1 (pow (cbrt x) 2)) (pow (cbrt x) 2) (exp (* (log (+ 1 x)) 1/3)) (- (exp (* (log (+ 1 x)) 1/3)) (cbrt x)) (* (log (+ 1 x)) 1/3) (log (+ 1 x)) (* (/ (pow x -1/2) x) (/ (pow x -1/2) 1)) (/ (pow x -1/2) 1) (- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (* (/ (pow x -1/2) x) (/ (pow x -1/2) 1))) 1/3) (cbrt (neg x)) (cbrt (* (/ (pow x -1/2) x) (/ (pow x -1/2) 1)))) |
| 1× | egg-herbie |
| 10 402× | lower-fma.f64 |
| 10 402× | lower-fma.f32 |
| 5 014× | lower-*.f64 |
| 5 014× | lower-*.f32 |
| 2 094× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 307 | 17179871956 |
| 1 | 810 | 17179871766 |
| 2 | 2079 | 17179871741 |
| 3 | 6181 | 17179871518 |
| 0 | 8305 | 2358 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(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 (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))) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
1 |
(+ 1 (* 1/3 x)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(- 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 x) |
(* x (+ 1/3 (* -1/6 x))) |
(* x (+ 1/3 (* x (- (* 1/9 x) 1/6)))) |
(* x (+ 1/3 (* x (- (* x (+ 1/9 (* -1/12 x))) 1/6)))) |
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 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(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)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* -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) |
(* 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)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (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)))))))) |
(* 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 (log (/ 1 x))) |
(+ (* -1/3 (log (/ 1 x))) (* 1/3 (/ 1 x))) |
(- (+ (* -1/3 (log (/ 1 x))) (* 1/3 (/ 1 x))) (/ 1/6 (pow x 2))) |
(- (+ (* -1/3 (log (/ 1 x))) (+ (* 1/3 (/ 1 x)) (* 1/9 (/ 1 (pow x 3))))) (/ 1/6 (pow x 2))) |
(* -1 (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))) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 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 (/ 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 x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(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)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 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 (* (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)))) |
(* 1/3 (* (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)) |
(* (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 (* (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 (* 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))))) |
(* 1/3 (* (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 (+ (log -1) (* -1 (log (/ -1 x))))) |
(+ (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (- (* 1/6 (/ 1 x)) 1/3) x)) (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(+ (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/6) x)) 1/3) x)) (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(+ (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 (/ (pow (sqrt -1) 2) (pow x 2))) |
(* -1 (/ (pow (sqrt -1) 2) (pow x 2))) |
(* -1 (/ (pow (sqrt -1) 2) (pow x 2))) |
(* -1 (/ (pow (sqrt -1) 2) (pow x 2))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -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)) |
(* 1/3 (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1))) |
(* 1/3 (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1))) |
(* 1/3 (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1))) |
(* 1/3 (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1))) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1)) |
(* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1)) |
(* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1)) |
(* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (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))) |
(* 1/3 (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)) |
(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))) |
(* (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 (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) |
(* 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 #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 (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))) |
(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 |
#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 (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))) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* x (+ 1/3 (* -1/6 x))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/3 binary64)) x) |
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(pow.f64 x #s(literal -2 binary64)) |
(* -1 (/ (pow (sqrt -1) 2) (pow x 2))) |
(pow.f64 x #s(literal -2 binary64)) |
(* -1 (/ (pow (sqrt -1) 2) (pow x 2))) |
(pow.f64 x #s(literal -2 binary64)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal -1 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 (pow.f64 x #s(literal -2 binary64)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.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 (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 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) #s(literal 5/81 binary64) (*.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))) (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))))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(* 1/3 (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1))) |
(*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))))) |
(* 1/3 (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1))) |
(*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))))) |
(* 1/3 (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1))) |
(*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))))) |
(* 1/3 (* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1))) |
(*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal -2 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)) |
(* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1)) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 #s(literal -1 binary64))) |
(* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1)) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 #s(literal -1 binary64))) |
(* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1)) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 #s(literal -1 binary64))) |
(* (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (cbrt -1)) |
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 #s(literal -1 binary64))) |
| 6 598× | lower-fma.f64 |
| 6 598× | lower-fma.f32 |
| 3 884× | lower-*.f32 |
| 3 878× | lower-*.f64 |
| 2 574× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 179 |
| 0 | 64 | 157 |
| 1 | 220 | 144 |
| 2 | 1188 | 121 |
| 0 | 8944 | 110 |
| 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)) |
#s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
(neg.f64 (cbrt.f64 x)) |
(cbrt.f64 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 (/.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))) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x)) |
(*.f64 (log1p.f64 x) #s(literal 1/3 binary64)) |
(log1p.f64 x) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64)) |
(cbrt.f64 (neg.f64 x)) |
(cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))) (cbrt.f64 (pow.f64 x #s(literal -1/4 binary64)))) (cbrt.f64 (pow.f64 x #s(literal -1/4 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (pow.f64 (neg.f64 x) #s(literal -1/6 binary64))) (pow.f64 (neg.f64 x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/6 binary64))) (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))) (pow.f64 x #s(literal -1/6 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1/6 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal -1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))) |
(*.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64))) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(*.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (neg.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))) (cbrt.f64 x)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) (neg.f64 (cbrt.f64 x))) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(neg.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) (cbrt.f64 x))) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (neg.f64 (cbrt.f64 x)))) |
(neg.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))) |
(neg.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -1/4 binary64)))) (cbrt.f64 (pow.f64 x #s(literal -1/4 binary64)))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/6 binary64))) (pow.f64 (neg.f64 x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal -1/6 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64))) (/.f64 (pow.f64 (neg.f64 x) #s(literal -1/6 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal -1/6 binary64)) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (pow.f64 (neg.f64 x) #s(literal -1/6 binary64)) (cbrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal -5/4 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (cbrt.f64 (pow.f64 x #s(literal -1/4 binary64)))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -5/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal -1/4 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/4 binary64))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/4 binary64))) (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64))))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/4 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal -5/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal -5/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -2/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2/3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -2/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1/6 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal -1/6 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
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(*.f64 (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (pow.f64 x #s(literal -2 binary64)))) #s(literal 1/3 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/6 binary64)) |
(pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal -2/3 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2/3 binary64)) |
(pow.f64 x #s(literal -2/3 binary64)) |
(/.f64 (cbrt.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 #s(literal -1 binary64))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))) |
(/.f64 (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64))) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (pow.f64 x #s(literal -1/6 binary64)) (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) |
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (cbrt.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(neg.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(cbrt.f64 (pow.f64 x #s(literal -2 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cbrt.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/3 binary64)) (*.f64 (log.f64 (neg.f64 x)) #s(literal 1/3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
Compiled 19 294 to 3 457 computations (82.1% saved)
59 alts after pruning (52 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 337 | 26 | 1 363 |
| Fresh | 11 | 26 | 37 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 349 | 59 | 1 408 |
| Status | Accuracy | Program |
|---|---|---|
| 4.5% | (fma.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (neg.f64 (cbrt.f64 x))) | |
| 7.7% | (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/12 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) | |
| 5.7% | (fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (cbrt.f64 x))) | |
| 4.2% | (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))) | |
| 7.9% | (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))))) | |
| 7.9% | (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (+.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (neg.f64 (cbrt.f64 (fma.f64 x x x))))) | |
| 5.2% | (/.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (+.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))) | |
| ▶ | 6.4% | (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
| 6.5% | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 x)) | |
| ✓ | 5.2% | (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x)) |
| 4.1% | (-.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) | |
| 7.6% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| ✓ | 6.7% | (-.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)) |
| 6.7% | (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) | |
| ▶ | 1.8% | #s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (pow.f64 x #s(literal 1/3 binary64)))) |
| 5.2% | #s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (cbrt.f64 (neg.f64 x)))) | |
| ✓ | 1.8% | #s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
| 20.2% | #s(approx (- (exp (* (log (+ 1 x)) 1/3)) (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))) | |
| 20.6% | #s(approx (- (cbrt (+ x 1)) (pow (pow x 1/6) 2)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x))) | |
| 50.3% | #s(approx (- (cbrt (+ x 1)) (pow (pow x 1/6) 2)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) | |
| 96.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) | |
| 96.5% | #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))) | |
| 66.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))) (cbrt.f64 (sqrt.f64 x)))) | |
| 96.4% | #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))))) | |
| 96.4% | #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))))) | |
| 96.5% | #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)))) | |
| ▶ | 96.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
| 70.5% | #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))) | |
| 46.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) | |
| 96.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) | |
| 88.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) | |
| 93.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/12 binary64))))) | |
| 64.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))) #s(literal 1/3 binary64))) | |
| 31.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (cbrt.f64 (fma.f64 x x #s(literal 0 binary64))))) #s(literal 1/3 binary64))) | |
| ✓ | 96.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) |
| 96.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x)) #s(literal 2 binary64))) #s(literal 1/3 binary64))) | |
| 95.7% | #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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))) #s(literal 2 binary64))) #s(literal 1/3 binary64))) | |
| 95.9% | #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))) | |
| 95.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) #s(literal 2 binary64))) #s(literal 1/3 binary64))) | |
| ▶ | 90.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #s(literal 1/3 binary64))) |
| ✓ | 96.5% | #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))) |
| 88.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) | |
| 96.5% | #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))) | |
| 91.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x))) #s(literal 1/3 binary64))) | |
| 50.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal 1/3 binary64))) | |
| 96.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (neg.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))))) | |
| 65.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -1/4 binary64)))) (cbrt.f64 (pow.f64 x #s(literal -1/4 binary64)))) #s(literal 1/3 binary64))) | |
| 65.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))) (cbrt.f64 (pow.f64 x #s(literal -1/4 binary64)))) (cbrt.f64 (pow.f64 x #s(literal -1/4 binary64))))) | |
| 96.3% | #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))) | |
| 90.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal -2 binary64))) #s(literal 1/3 binary64))) | |
| ▶ | 89.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64))) |
| ✓ | 52.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
| 50.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))))) #s(literal 1/3 binary64))) | |
| 52.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))) #s(literal 1/3 binary64))) | |
| 52.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -3/2 binary64))))) #s(literal 1/3 binary64))) | |
| 52.2% | #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))) | |
| 49.3% | #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 1 377 to 1 107 computations (19.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #s(literal 1/3 binary64))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) | |
| cost-diff | 64 | (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) | |
| cost-diff | 6528 | (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (log.f64 x) | |
| cost-diff | 0 | (*.f64 (log.f64 x) #s(literal -2/3 binary64)) | |
| cost-diff | 0 | (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (neg.f64 (pow.f64 x #s(literal 1/3 binary64))) | |
| cost-diff | 0 | #s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (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 | (cbrt.f64 x) | |
| cost-diff | 0 | (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
| 616× | lower-fma.f64 |
| 616× | lower-fma.f32 |
| 556× | lower-*.f32 |
| 550× | lower-*.f64 |
| 440× | associate-*r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 176 |
| 0 | 60 | 164 |
| 1 | 89 | 160 |
| 2 | 119 | 160 |
| 3 | 149 | 160 |
| 4 | 179 | 160 |
| 5 | 224 | 160 |
| 6 | 287 | 160 |
| 7 | 343 | 160 |
| 8 | 411 | 160 |
| 9 | 464 | 160 |
| 10 | 617 | 160 |
| 11 | 724 | 160 |
| 12 | 1040 | 160 |
| 13 | 1709 | 160 |
| 14 | 1902 | 160 |
| 15 | 1989 | 160 |
| 16 | 2043 | 160 |
| 17 | 2047 | 160 |
| 18 | 2047 | 160 |
| 0 | 2047 | 150 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
#s(literal 1/3 binary64) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(cbrt.f64 x) |
x |
#s(literal 2 binary64) |
#s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (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 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) |
(*.f64 (log.f64 x) #s(literal -2/3 binary64)) |
(log.f64 x) |
x |
#s(literal -2/3 binary64) |
#s(literal 1/3 binary64) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 1/3 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) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) |
#s(literal 1 binary64) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x))) |
(exp.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(log.f64 (cbrt.f64 x)) |
(cbrt.f64 x) |
x |
#s(literal 1/3 binary64) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
#s(literal 1/3 binary64) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(cbrt.f64 x) |
x |
#s(literal 2 binary64) |
#s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (pow.f64 x #s(literal 1/3 binary64)))) |
#s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (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 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) #s(literal 1/3 binary64))) |
(*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64)) |
(*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) #s(literal 1/3 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) |
(pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) |
(*.f64 (log.f64 x) #s(literal -2/3 binary64)) |
(*.f64 #s(literal -2/3 binary64) (log.f64 x)) |
(log.f64 x) |
x |
#s(literal -2/3 binary64) |
#s(literal 1/3 binary64) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) |
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) |
(cbrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 1/3 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) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) |
#s(literal 1 binary64) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x))) |
(exp.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(log.f64 (cbrt.f64 x)) |
(cbrt.f64 x) |
x |
#s(literal 1/3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3359375 | (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #s(literal 1/3 binary64)) | |
| accuracy | 0.5768738281475362 | (cbrt.f64 x) | |
| accuracy | 1.194768471338796 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #s(literal 1/3 binary64))) | |
| accuracy | 5.288565193146524 | (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x))) | |
| accuracy | 0.4840812988422101 | (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) | |
| accuracy | 4.217215758610837 | (pow.f64 x #s(literal 1/6 binary64)) | |
| accuracy | 5.123643086818457 | (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) | |
| accuracy | 59.68321396770437 | (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) | |
| accuracy | 0.3359375 | (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64)) | |
| accuracy | 0.38671875 | (*.f64 (log.f64 x) #s(literal -2/3 binary64)) | |
| accuracy | 1.194768471338796 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64))) | |
| accuracy | 5.13737995322732 | (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) | |
| accuracy | 0 | (neg.f64 (pow.f64 x #s(literal 1/3 binary64))) | |
| accuracy | 5.125264327050015 | (pow.f64 x #s(literal 1/3 binary64)) | |
| accuracy | 62.86630564519123 | #s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (pow.f64 x #s(literal 1/3 binary64)))) | |
| accuracy | 0.3671875 | (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) | |
| accuracy | 0.510097509768442 | (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) | |
| accuracy | 0.5768738281475362 | (cbrt.f64 x) | |
| accuracy | 1.194768471338796 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
| 156.0ms | 188× | 1 | valid |
| 90.0ms | 60× | 2 | valid |
| 3.0ms | 8× | 0 | valid |
Compiled 147 to 35 computations (76.2% saved)
ival-pow: 39.0ms (18.3% of total)ival-exp: 24.0ms (11.3% of total)ival-cbrt: 24.0ms (11.3% of total)const: 22.0ms (10.3% of total)adjust: 20.0ms (9.4% of total)ival-pow2: 15.0ms (7% of total)ival-log1p: 14.0ms (6.6% of total)ival-log: 13.0ms (6.1% of total)ival-div: 12.0ms (5.6% of total)ival-mult: 10.0ms (4.7% of total)ival-sub: 8.0ms (3.8% of total)ival-add: 7.0ms (3.3% of total)ival-neg: 5.0ms (2.3% 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 #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 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 x) (patch (cbrt.f64 x) #<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 (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (pow.f64 x #s(literal 1/3 binary64)))) (patch #s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (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 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (log.f64 x) #s(literal -2/3 binary64)) (patch (*.f64 (log.f64 x) #s(literal -2/3 binary64)) #<representation binary64>) () ()) |
#s(alt (log.f64 x) (patch (log.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 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (patch (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x))) (patch (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x))) #<representation binary64>) () ()) |
#s(alt (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) (patch (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 1/6 binary64)) (patch (pow.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 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 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 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 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #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 #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (pow x 2)) (taylor 0 x) (#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 (pow x 2)) (taylor 0 x) (#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 (pow x 2)) (taylor 0 x) (#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 (pow x 2)) (taylor 0 x) (#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 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 x #s(literal 1/3 binary64)) (patch (pow.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 1/3 binary64)) (patch (pow.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 1/3 binary64)) (patch (pow.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 1/3 binary64)) (patch (pow.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (pow.f64 x #s(literal 1/3 binary64)))) (patch #s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (pow.f64 x #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf 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) (cbrt -1))) (taylor -inf 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) (cbrt -1))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (patch (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 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 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (patch (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 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 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (patch (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 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 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (patch (pow.f64 (+.f64 #s(literal 1 binary64) 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 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) #<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 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) #<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 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) #<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 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 (exp (* 2 (+ (log (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1 (log (/ -1 x))))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 (exp (* 2 (+ (log (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1 (log (/ -1 x))))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 (exp (* 2 (+ (log (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1 (log (/ -1 x))))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 (exp (* 2 (+ (log (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1 (log (/ -1 x))))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.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 #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #s(literal 1/3 binary64))) #<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 #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #s(literal 1/3 binary64))) #<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 #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #s(literal 1/3 binary64))) #<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 #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (exp (* 2 (+ (log (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1 (log (/ -1 x))))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (exp (* 2 (+ (log (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1 (log (/ -1 x))))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (exp (* 2 (+ (log (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1 (log (/ -1 x))))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (exp (* 2 (+ (log (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1 (log (/ -1 x))))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 2 (+ (log (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x))) (patch (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 2 (+ (log (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x))) (patch (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 2 (+ (log (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x))) (patch (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 2 (+ (log (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x))) (patch (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (/ 1 (pow x 2))) (taylor -inf x) (#s(alt (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) (patch (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (/ 1 (pow x 2))) (taylor -inf x) (#s(alt (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) (patch (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (/ 1 (pow x 2))) (taylor -inf x) (#s(alt (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) (patch (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (/ 1 (pow x 2))) (taylor -inf x) (#s(alt (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) (patch (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 1/6 binary64)) (patch (pow.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 1/6 binary64)) (patch (pow.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 1/6 binary64)) (patch (pow.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 1/6 binary64)) (patch (pow.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 69.0ms | x | @ | 0 | ((- (cbrt (+ x 1)) (cbrt x)) (/ 1/3 (pow (cbrt x) 2)) (pow (cbrt x) 2) (cbrt x) (pow x 1/3) (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg (pow x 1/3)) (- (cbrt (+ x 1)) (cbrt x)) (* (exp (* (log x) -2/3)) 1/3) (* (log x) -2/3) (log x) (pow (pow x 1/6) 2) (pow (+ 1 x) 1/3) (- (pow (+ 1 x) 1/3) (pow (pow x 1/6) 2)) (+ 1 x) (* (/ 1 (pow (exp 2) (log (cbrt x)))) 1/3) (- (cbrt (+ x 1)) (cbrt x)) (/ 1 (pow (exp 2) (log (cbrt x)))) (pow (exp 2) (log (cbrt x))) (exp (* (log x) -2/3)) (pow x 1/6)) |
| 45.0ms | x | @ | -inf | ((- (cbrt (+ x 1)) (cbrt x)) (/ 1/3 (pow (cbrt x) 2)) (pow (cbrt x) 2) (cbrt x) (pow x 1/3) (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg (pow x 1/3)) (- (cbrt (+ x 1)) (cbrt x)) (* (exp (* (log x) -2/3)) 1/3) (* (log x) -2/3) (log x) (pow (pow x 1/6) 2) (pow (+ 1 x) 1/3) (- (pow (+ 1 x) 1/3) (pow (pow x 1/6) 2)) (+ 1 x) (* (/ 1 (pow (exp 2) (log (cbrt x)))) 1/3) (- (cbrt (+ x 1)) (cbrt x)) (/ 1 (pow (exp 2) (log (cbrt x)))) (pow (exp 2) (log (cbrt x))) (exp (* (log x) -2/3)) (pow x 1/6)) |
| 35.0ms | x | @ | inf | ((- (cbrt (+ x 1)) (cbrt x)) (/ 1/3 (pow (cbrt x) 2)) (pow (cbrt x) 2) (cbrt x) (pow x 1/3) (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg (pow x 1/3)) (- (cbrt (+ x 1)) (cbrt x)) (* (exp (* (log x) -2/3)) 1/3) (* (log x) -2/3) (log x) (pow (pow x 1/6) 2) (pow (+ 1 x) 1/3) (- (pow (+ 1 x) 1/3) (pow (pow x 1/6) 2)) (+ 1 x) (* (/ 1 (pow (exp 2) (log (cbrt x)))) 1/3) (- (cbrt (+ x 1)) (cbrt x)) (/ 1 (pow (exp 2) (log (cbrt x)))) (pow (exp 2) (log (cbrt x))) (exp (* (log x) -2/3)) (pow x 1/6)) |
| 1× | egg-herbie |
| 9 894× | lower-fma.f64 |
| 9 894× | lower-fma.f32 |
| 4 246× | lower-*.f64 |
| 4 246× | lower-*.f32 |
| 2 782× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 240 | 17179871854 |
| 1 | 601 | 17179871676 |
| 2 | 1830 | 17179871645 |
| 3 | 4362 | 17179871394 |
| 0 | 8279 | 2249 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (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) |
(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)))) |
(* -2/3 (log x)) |
(* -2/3 (log x)) |
(* -2/3 (log x)) |
(* -2/3 (log x)) |
(log x) |
(log x) |
(log x) |
(log x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(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 (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 x) |
(+ 1 x) |
(+ 1 x) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(- 1 (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))) |
(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) |
(* 1/3 (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 (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(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)))) |
(* 2/3 (log (/ 1 x))) |
(* 2/3 (log (/ 1 x))) |
(* 2/3 (log (/ 1 x))) |
(* 2/3 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) |
(* 1/3 (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)) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(/ 1/3 (exp (* 2 (+ (log (cbrt (/ 1 (pow x 2)))) (* -1 (log (/ 1 x))))))) |
(/ 1/3 (exp (* 2 (+ (log (cbrt (/ 1 (pow x 2)))) (* -1 (log (/ 1 x))))))) |
(/ 1/3 (exp (* 2 (+ (log (cbrt (/ 1 (pow x 2)))) (* -1 (log (/ 1 x))))))) |
(/ 1/3 (exp (* 2 (+ (log (cbrt (/ 1 (pow x 2)))) (* -1 (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 (exp (* 2 (+ (log (cbrt (/ 1 (pow x 2)))) (* -1 (log (/ 1 x))))))) |
(/ 1 (exp (* 2 (+ (log (cbrt (/ 1 (pow x 2)))) (* -1 (log (/ 1 x))))))) |
(/ 1 (exp (* 2 (+ (log (cbrt (/ 1 (pow x 2)))) (* -1 (log (/ 1 x))))))) |
(/ 1 (exp (* 2 (+ (log (cbrt (/ 1 (pow x 2)))) (* -1 (log (/ 1 x))))))) |
(exp (* 2 (+ (log (cbrt (/ 1 (pow x 2)))) (* -1 (log (/ 1 x)))))) |
(exp (* 2 (+ (log (cbrt (/ 1 (pow x 2)))) (* -1 (log (/ 1 x)))))) |
(exp (* 2 (+ (log (cbrt (/ 1 (pow x 2)))) (* -1 (log (/ 1 x)))))) |
(exp (* 2 (+ (log (cbrt (/ 1 (pow x 2)))) (* -1 (log (/ 1 x)))))) |
(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) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* -1 (* (cbrt (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))) |
(* -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)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))) |
(* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))) |
(* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))) |
(* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(* -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 (* 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))))) |
(* 1/3 (* (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)) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(/ 1/3 (exp (* 2 (+ (log (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1 (log (/ -1 x))))))) |
(/ 1/3 (exp (* 2 (+ (log (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1 (log (/ -1 x))))))) |
(/ 1/3 (exp (* 2 (+ (log (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1 (log (/ -1 x))))))) |
(/ 1/3 (exp (* 2 (+ (log (* (cbrt (/ 1 (pow x 2))) (cbrt -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 (exp (* 2 (+ (log (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1 (log (/ -1 x))))))) |
(/ 1 (exp (* 2 (+ (log (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1 (log (/ -1 x))))))) |
(/ 1 (exp (* 2 (+ (log (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1 (log (/ -1 x))))))) |
(/ 1 (exp (* 2 (+ (log (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1 (log (/ -1 x))))))) |
(exp (* 2 (+ (log (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1 (log (/ -1 x)))))) |
(exp (* 2 (+ (log (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1 (log (/ -1 x)))))) |
(exp (* 2 (+ (log (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1 (log (/ -1 x)))))) |
(exp (* 2 (+ (log (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1 (log (/ -1 x)))))) |
(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)))))) |
| 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))) |
(* 1/3 (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)) |
(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 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 #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)) |
(- 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))) |
(* 1/3 (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)) |
(* -2/3 (log x)) |
(*.f64 (log.f64 x) #s(literal -2/3 binary64)) |
(* -2/3 (log x)) |
(*.f64 (log.f64 x) #s(literal -2/3 binary64)) |
(* -2/3 (log x)) |
(*.f64 (log.f64 x) #s(literal -2/3 binary64)) |
(* -2/3 (log x)) |
(*.f64 (log.f64 x) #s(literal -2/3 binary64)) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(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 (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)) |
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(*.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 -2 binary64)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(*.f64 (fma.f64 (/.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 -2 binary64))) |
(/ (+ (* -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 (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 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) #s(literal 5/81 binary64) (*.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))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal -2 binary64))) |
(/ (+ (* -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))))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal -2 binary64))) |
(/ 1 (exp (* 2 (+ (log (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1 (log (/ -1 x))))))) |
(pow.f64 (*.f64 (neg.f64 x) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) |
(/ 1 (exp (* 2 (+ (log (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1 (log (/ -1 x))))))) |
(pow.f64 (*.f64 (neg.f64 x) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) |
(/ 1 (exp (* 2 (+ (log (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1 (log (/ -1 x))))))) |
(pow.f64 (*.f64 (neg.f64 x) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) |
(/ 1 (exp (* 2 (+ (log (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1 (log (/ -1 x))))))) |
(pow.f64 (*.f64 (neg.f64 x) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) |
(exp (* 2 (+ (log (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1 (log (/ -1 x)))))) |
(pow.f64 (*.f64 (neg.f64 x) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) |
(exp (* 2 (+ (log (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1 (log (/ -1 x)))))) |
(pow.f64 (*.f64 (neg.f64 x) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) |
(exp (* 2 (+ (log (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1 (log (/ -1 x)))))) |
(pow.f64 (*.f64 (neg.f64 x) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) |
(exp (* 2 (+ (log (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1 (log (/ -1 x)))))) |
(pow.f64 (*.f64 (neg.f64 x) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))) #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))) |
(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)) |
| 7 020× | lower-fma.f64 |
| 7 020× | lower-fma.f32 |
| 3 898× | lower-*.f32 |
| 3 894× | lower-*.f64 |
| 2 634× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 152 |
| 0 | 60 | 130 |
| 1 | 202 | 123 |
| 2 | 1002 | 119 |
| 0 | 8815 | 109 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(cbrt.f64 x) |
(pow.f64 x #s(literal 1/3 binary64)) |
#s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (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 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64)) |
(*.f64 (log.f64 x) #s(literal -2/3 binary64)) |
(log.f64 x) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(+.f64 #s(literal 1 binary64) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #s(literal 1/3 binary64)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) |
(pow.f64 x #s(literal 1/6 binary64)) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (*.f64 (cbrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) (cbrt.f64 x)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) (neg.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 x) (cbrt.f64 x))) |
(/.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))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) |
(neg.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))) |
(neg.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
(neg.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/12 binary64))) |
(*.f64 (*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/12 binary64))) |
(*.f64 (*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64))) (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))) (cbrt.f64 x)) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (cbrt.f64 x)) |
(*.f64 (*.f64 (neg.f64 (cbrt.f64 x)) #s(literal -1 binary64)) (cbrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/12 binary64)) (cbrt.f64 x))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 x)))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (cbrt.f64 x))) |
(*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) |
(*.f64 (/.f64 (neg.f64 x) (cbrt.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (cbrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (neg.f64 (cbrt.f64 x)))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 x) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))))) |
(*.f64 (cbrt.f64 x) (neg.f64 (neg.f64 (cbrt.f64 x)))) |
(*.f64 (cbrt.f64 x) (*.f64 #s(literal -1 binary64) (neg.f64 (cbrt.f64 x)))) |
(*.f64 (cbrt.f64 x) (cbrt.f64 x)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/3 binary64)) (log.f64 x)) |
(pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64)) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 #s(literal 1/6 binary64) (log.f64 x))) |
(pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 8 binary64)) |
(pow.f64 (neg.f64 (cbrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal -1/3 binary64) (log.f64 x)))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x))) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2/3 binary64)) |
(/.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 x)) (fma.f64 (cbrt.f64 x) (cbrt.f64 x) #s(literal 0 binary64))) |
(/.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (/.f64 (neg.f64 x) (cbrt.f64 x))) (cbrt.f64 x)) |
(/.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (fma.f64 (cbrt.f64 x) (cbrt.f64 x) #s(literal 0 binary64)) (fma.f64 (cbrt.f64 x) (cbrt.f64 x) #s(literal 0 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (cbrt.f64 x))) (*.f64 (fma.f64 (cbrt.f64 x) (cbrt.f64 x) #s(literal 0 binary64)) (cbrt.f64 x))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) (cbrt.f64 x)) (neg.f64 x)) (*.f64 (cbrt.f64 x) (fma.f64 (cbrt.f64 x) (cbrt.f64 x) #s(literal 0 binary64)))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) (cbrt.f64 x)) (/.f64 (neg.f64 x) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (/.f64 (neg.f64 x) (cbrt.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(neg.f64 (/.f64 (neg.f64 x) (cbrt.f64 x))) |
(fma.f64 (neg.f64 (cbrt.f64 x)) #s(literal 0 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(fma.f64 #s(literal 0 binary64) (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(cbrt.f64 (*.f64 x x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (cbrt.f64 x))) |
(+.f64 (*.f64 (neg.f64 (cbrt.f64 x)) #s(literal 0 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (log.f64 (cbrt.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (log.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/12 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64))) |
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(pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 x)) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (neg.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 x)))) |
(pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/3 binary64) (log.f64 x))) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -4 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) |
(pow.f64 x #s(literal -2/3 binary64)) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) |
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (cbrt.f64 x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (cbrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(neg.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(neg.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -2/3 binary64))) (log.f64 x))) |
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (cbrt.f64 x)))) |
(exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/12 binary64))) |
(*.f64 (*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/12 binary64))) |
(*.f64 (*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64))) (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))) (cbrt.f64 x)) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (cbrt.f64 x)) |
(*.f64 (*.f64 (neg.f64 (cbrt.f64 x)) #s(literal -1 binary64)) (cbrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/12 binary64)) (cbrt.f64 x))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (neg.f64 (cbrt.f64 x)))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (cbrt.f64 x))) |
(*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) |
(*.f64 (/.f64 (neg.f64 x) (cbrt.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (cbrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (neg.f64 (cbrt.f64 x)))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 x) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))))) |
(*.f64 (cbrt.f64 x) (neg.f64 (neg.f64 (cbrt.f64 x)))) |
(*.f64 (cbrt.f64 x) (*.f64 #s(literal -1 binary64) (neg.f64 (cbrt.f64 x)))) |
(*.f64 (cbrt.f64 x) (cbrt.f64 x)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/3 binary64)) (log.f64 x)) |
(pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64)) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 #s(literal 1/6 binary64) (log.f64 x))) |
(pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 8 binary64)) |
(pow.f64 (neg.f64 (cbrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal -1/3 binary64) (log.f64 x)))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x))) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2/3 binary64)) |
(/.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 x)) (fma.f64 (cbrt.f64 x) (cbrt.f64 x) #s(literal 0 binary64))) |
(/.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (/.f64 (neg.f64 x) (cbrt.f64 x))) (cbrt.f64 x)) |
(/.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (fma.f64 (cbrt.f64 x) (cbrt.f64 x) #s(literal 0 binary64)) (fma.f64 (cbrt.f64 x) (cbrt.f64 x) #s(literal 0 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (cbrt.f64 x))) (*.f64 (fma.f64 (cbrt.f64 x) (cbrt.f64 x) #s(literal 0 binary64)) (cbrt.f64 x))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) (cbrt.f64 x)) (neg.f64 x)) (*.f64 (cbrt.f64 x) (fma.f64 (cbrt.f64 x) (cbrt.f64 x) #s(literal 0 binary64)))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) (cbrt.f64 x)) (/.f64 (neg.f64 x) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (/.f64 (neg.f64 x) (cbrt.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(neg.f64 (/.f64 (neg.f64 x) (cbrt.f64 x))) |
(fma.f64 (neg.f64 (cbrt.f64 x)) #s(literal 0 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(fma.f64 #s(literal 0 binary64) (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(cbrt.f64 (*.f64 x x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (cbrt.f64 x))) |
(+.f64 (*.f64 (neg.f64 (cbrt.f64 x)) #s(literal 0 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (log.f64 (cbrt.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (log.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2/3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -2/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (log.f64 (cbrt.f64 x))) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 x)) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (neg.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 x)))) |
(pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/3 binary64) (log.f64 x))) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -4 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) |
(pow.f64 x #s(literal -2/3 binary64)) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) |
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (cbrt.f64 x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (cbrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(neg.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(neg.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -2/3 binary64))) (log.f64 x))) |
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (cbrt.f64 x)))) |
(exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/24 binary64))) (pow.f64 x #s(literal 1/24 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/24 binary64)) (*.f64 (pow.f64 x #s(literal 1/24 binary64)) (pow.f64 x #s(literal 1/12 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/12 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/6 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 x)) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) |
(pow.f64 x #s(literal 1/6 binary64)) |
(sqrt.f64 (cbrt.f64 x)) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/12 binary64))) |
(exp.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 x))) |
Compiled 18 475 to 3 119 computations (83.1% saved)
59 alts after pruning (50 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 190 | 16 | 1 206 |
| Fresh | 13 | 34 | 47 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 6 | 7 |
| Total | 1 206 | 59 | 1 265 |
| Status | Accuracy | Program |
|---|---|---|
| 4.5% | (fma.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (neg.f64 (cbrt.f64 x))) | |
| 7.7% | (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/12 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) | |
| 6.3% | (fma.f64 (/.f64 (neg.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) | |
| 5.7% | (fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (cbrt.f64 x))) | |
| 4.2% | (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))) | |
| 7.9% | (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))))) | |
| 7.9% | (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (+.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (neg.f64 (cbrt.f64 (fma.f64 x x x))))) | |
| 5.2% | (/.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (+.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))) | |
| 6.7% | (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/3 binary64))) | |
| 4.1% | (-.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) (cbrt.f64 x)) | |
| 7.6% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| ✓ | 6.7% | (-.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)) |
| 6.7% | (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) | |
| 20.3% | #s(approx (- (pow (+ 1 x) 1/3) (pow (pow x 1/6) 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))) (pow.f64 x #s(literal -2 binary64)))) | |
| ✓ | 1.8% | #s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (pow.f64 x #s(literal 1/3 binary64)))) |
| 5.2% | #s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (cbrt.f64 (neg.f64 x)))) | |
| ✓ | 1.8% | #s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
| 20.2% | #s(approx (- (exp (* (log (+ 1 x)) 1/3)) (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))) | |
| 20.6% | #s(approx (- (cbrt (+ x 1)) (pow (pow x 1/6) 2)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x))) | |
| 50.3% | #s(approx (- (cbrt (+ x 1)) (pow (pow x 1/6) 2)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) | |
| 96.5% | #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))) | |
| 66.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))) (cbrt.f64 (sqrt.f64 x)))) | |
| 96.4% | #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))))) | |
| 96.4% | #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))))) | |
| 96.5% | #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)))) | |
| 95.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (/.f64 (neg.f64 x) (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) #s(literal 2 binary64)))) | |
| 95.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x))) #s(literal 2 binary64)))) | |
| 70.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/2 binary64)))) | |
| ✓ | 96.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
| 88.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) | |
| 70.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 x)) (fma.f64 (cbrt.f64 x) (cbrt.f64 x) #s(literal 0 binary64))))) | |
| 96.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))) | |
| 50.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))) | |
| 97.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 x) (cbrt.f64 x)))) | |
| 96.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/2 binary64)))) | |
| 70.5% | #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))) | |
| 46.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) | |
| 89.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) #s(literal 1/3 binary64))) | |
| 96.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (*.f64 (cbrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)))) | |
| 96.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) | |
| 88.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) | |
| ✓ | 96.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) |
| 96.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x)) #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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))) #s(literal 2 binary64))) #s(literal 1/3 binary64))) | |
| 95.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) #s(literal 2 binary64))) #s(literal 1/3 binary64))) | |
| ✓ | 96.5% | #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))) |
| 88.7% | #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))) | |
| 50.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal 1/3 binary64))) | |
| 97.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (cbrt.f64 x))) #s(literal 1/3 binary64))) | |
| 65.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -1/4 binary64)))) (cbrt.f64 (pow.f64 x #s(literal -1/4 binary64)))) #s(literal 1/3 binary64))) | |
| 96.3% | #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))) | |
| 90.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal -2 binary64))) #s(literal 1/3 binary64))) | |
| ✓ | 89.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64))) |
| ✓ | 52.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
| 52.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))) #s(literal 1/3 binary64))) | |
| 52.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -3/2 binary64))))) #s(literal 1/3 binary64))) | |
| 52.2% | #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))) | |
| 50.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(approx (/ 1 (pow (exp 2) (log (cbrt x)))) (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) x) #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
Compiled 2 017 to 1 005 computations (50.2% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
#s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (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 (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (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 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))) |
#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 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (pow (pow x 1/6) 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 #s(literal -1/3 binary64) (/.f64 (neg.f64 x) (cbrt.f64 x)))) |
#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 (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (cbrt.f64 x))) #s(literal 1/3 binary64))) |
#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 (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (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 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #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))) |
#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 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 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 (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 (*.f64 (cbrt.f64 x) x) #s(literal 1/2 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 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 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 #s(literal 1/3 binary64) (/.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) (/.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) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (neg.f64 (/.f64 #s(literal 1/3 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)) (neg.f64 (cbrt.f64 x))) #s(literal 1/3 binary64))) |
(-.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 (+ 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 (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -3/2 binary64))))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))) #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
(-.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) (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 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) #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 #s(literal 1 binary64) x) #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 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(approx (/ 1 (pow (exp 2) (log (cbrt x)))) (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) x) #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))))) #s(literal 1/3 binary64))) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/12 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(-.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 (/.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 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))) (cbrt.f64 (sqrt.f64 x)))) |
#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 (+ x 1)) (pow (pow x 1/6) 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))) |
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (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 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (cbrt.f64 x))) |
(-.f64 (cbrt.f64 (fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) |
#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 (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 x)) (fma.f64 (cbrt.f64 x) (cbrt.f64 x) #s(literal 0 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (/.f64 (neg.f64 x) (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) #s(literal 2 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
(-.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal 1/2 binary64))))) #s(literal 1/3 binary64))) |
(-.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))) |
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 (exp.f64 (-.f64 (log1p.f64 x) (*.f64 #s(literal 2/3 binary64) (log1p.f64 x)))) (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)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (*.f64 (cbrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #s(literal 1/3 binary64))) |
#s(approx (- (pow (+ 1 x) 1/3) (pow (pow x 1/6) 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))) (pow.f64 x #s(literal -2 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))) |
(fma.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (neg.f64 (cbrt.f64 x))) |
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 (/.f64 (neg.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x)) #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/12 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 (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (cbrt.f64 (fma.f64 x x #s(literal 0 binary64))))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (pow (pow x 1/6) 2)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x))) |
#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 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (+.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (neg.f64 (cbrt.f64 (fma.f64 x x 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 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))) (cbrt.f64 (pow.f64 x #s(literal -1/4 binary64)))) (cbrt.f64 (pow.f64 x #s(literal -1/4 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -1/4 binary64)))) (cbrt.f64 (pow.f64 x #s(literal -1/4 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 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(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/2 binary64)))) |
#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))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (+.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))) |
#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)) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 x) (cbrt.f64 x)))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))))) |
2 calls:
| 31.0ms | x |
| 25.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 2 | x |
| 99.0% | 2 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
#s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (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 (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (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 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))) |
#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 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (pow (pow x 1/6) 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 #s(literal -1/3 binary64) (/.f64 (neg.f64 x) (cbrt.f64 x)))) |
#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 (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (cbrt.f64 x))) #s(literal 1/3 binary64))) |
#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 (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (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 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #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))) |
#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 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 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 (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 (*.f64 (cbrt.f64 x) x) #s(literal 1/2 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 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 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 #s(literal 1/3 binary64) (/.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) (/.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) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (neg.f64 (/.f64 #s(literal 1/3 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)) (neg.f64 (cbrt.f64 x))) #s(literal 1/3 binary64))) |
(-.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 (+ 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 (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -3/2 binary64))))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))) #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
(-.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) (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 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) #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 #s(literal 1 binary64) x) #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 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(approx (/ 1 (pow (exp 2) (log (cbrt x)))) (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) x) #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))))) #s(literal 1/3 binary64))) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/12 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(-.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 (/.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 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))) (cbrt.f64 (sqrt.f64 x)))) |
#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 (+ x 1)) (pow (pow x 1/6) 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))) |
#s(approx (- (exp (* (log (+ 1 x)) 1/3)) (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 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (cbrt.f64 x))) |
(-.f64 (cbrt.f64 (fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) |
#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 (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 x)) (fma.f64 (cbrt.f64 x) (cbrt.f64 x) #s(literal 0 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (/.f64 (neg.f64 x) (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) #s(literal 2 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
(-.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal 1/2 binary64))))) #s(literal 1/3 binary64))) |
(-.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))) |
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 (exp.f64 (-.f64 (log1p.f64 x) (*.f64 #s(literal 2/3 binary64) (log1p.f64 x)))) (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)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (*.f64 (cbrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 x)))) #s(literal 1/3 binary64))) |
#s(approx (- (pow (+ 1 x) 1/3) (pow (pow x 1/6) 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))) (pow.f64 x #s(literal -2 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))) |
(fma.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (neg.f64 (cbrt.f64 x))) |
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 (/.f64 (neg.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x)) #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/12 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 (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (cbrt.f64 (fma.f64 x x #s(literal 0 binary64))))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (pow (pow x 1/6) 2)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x))) |
#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 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 x) (cbrt.f64 x)))) |
2 calls:
| 28.0ms | x |
| 22.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 1 | x |
| 97.2% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
#s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (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 (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (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 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))) |
#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 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (pow (pow x 1/6) 2)) (*.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 #s(literal 1/3 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))) |
2 calls:
| 5.0ms | x |
| 4.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.7% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 92.2% | 2 | x |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
#s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (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 (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (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 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
2 calls:
| 4.0ms | x |
| 3.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.7% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 88.7% | 1 | x |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
#s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (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 (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (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:
| 6.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.7% | 1 | x |
| 88.7% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
#s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (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 (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (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 (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (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 (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
#s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (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 |
| 1.0ms | (-.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 (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
#s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (pow.f64 x #s(literal 1/3 binary64)))) |
| Outputs |
|---|
#s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (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 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 1.8% | 1 | x |
Compiled 8 to 7 computations (12.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.0372681319713593e-10 |
Compiled 10 to 10 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 1.2104711216303935e+152 | 5.842333114776246e+154 |
| 12.0ms | 128× | 1 | valid |
Compiled 114 to 122 computations (-7% saved)
ival-cbrt: 3.0ms (36.9% of total)adjust: 2.0ms (24.6% of total)ival-add: 1.0ms (12.3% of total)ival-sub: 1.0ms (12.3% 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 |
| 22× | +-commutative-binary64-+.f64 |
| 18× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 16× | *-commutative-binary64-*.f64 |
| 12× | neg-sub0-binary64--.f64-neg.f64 |
| 12× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 160 |
| 1 | 76 | 160 |
| 2 | 90 | 160 |
| 3 | 99 | 160 |
| 4 | 104 | 160 |
| 5 | 107 | 160 |
| 6 | 108 | 160 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #s(literal 0 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 x) (cbrt.f64 x)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 x) (cbrt.f64 x)))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 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)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (cbrt.f64 (neg.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #s(literal 0 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 x) (cbrt.f64 x)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64)))))) |
(if (<=.f64 (-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) #s(literal 0 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (neg.f64 #s(literal -1/3 binary64)) (/.f64 x (cbrt.f64 x)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (exp.f64 (*.f64 #s(literal 2/3 binary64) (log1p.f64 x)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 x) (cbrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (neg.f64 #s(literal -1/3 binary64)) (/.f64 x (cbrt.f64 x)))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 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)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (cbrt.f64 (neg.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (- (/ 1 (cbrt (exp (neg (log (+ 1 x)))))) (cbrt x)) (neg.f64 (cbrt.f64 x))) |
| 8 626× | lower-fma.f64 |
| 8 626× | lower-fma.f32 |
| 7 020× | lower-fma.f64 |
| 7 020× | lower-fma.f32 |
| 6 920× | lower-fma.f64 |
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 |
| 0 | 42 | 179 |
| 0 | 64 | 157 |
| 1 | 220 | 144 |
| 2 | 1188 | 121 |
| 0 | 8944 | 110 |
| 0 | 40 | 152 |
| 0 | 60 | 130 |
| 1 | 202 | 123 |
| 2 | 1002 | 119 |
| 0 | 8815 | 109 |
| 0 | 6 | 16 |
| 0 | 10 | 16 |
| 1 | 43 | 16 |
| 2 | 282 | 16 |
| 3 | 3101 | 16 |
| 0 | 9092 | 16 |
| 0 | 31 | 119 |
| 0 | 53 | 107 |
| 1 | 177 | 99 |
| 2 | 976 | 99 |
| 0 | 8924 | 96 |
| 0 | 422 | 68719479597 |
| 1 | 1080 | 68719479372 |
| 2 | 3251 | 68719479275 |
| 0 | 8284 | 3062 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 275 to 209 computations (24% saved)
Compiled 244 to 124 computations (49.2% saved)
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