
Time bar (total: 9.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 0 |
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 1 |
| 50% | 12.5% | 12.5% | 75% | 0% | 0% | 0% | 2 |
| 75% | 18.7% | 6.2% | 75% | 0% | 0% | 0% | 3 |
| 87.5% | 21.9% | 3.1% | 75% | 0% | 0% | 0% | 4 |
| 93.8% | 23.4% | 1.6% | 75% | 0% | 0% | 0% | 5 |
| 96.9% | 24.2% | 0.8% | 75% | 0% | 0% | 0% | 6 |
| 98.4% | 24.6% | 0.4% | 75% | 0% | 0% | 0% | 7 |
| 99.2% | 24.8% | 0.2% | 75% | 0% | 0% | 0% | 8 |
| 99.6% | 24.9% | 0.1% | 75% | 0% | 0% | 0% | 9 |
| 99.8% | 24.9% | 0% | 75% | 0% | 0% | 0% | 10 |
| 99.9% | 25% | 0% | 75% | 0% | 0% | 0% | 11 |
| 100% | 25% | 0% | 75% | 0% | 0% | 0% | 12 |
Compiled 15 to 11 computations (26.7% saved)
| 819.0ms | 6 345× | 1 | valid |
| 269.0ms | 1 630× | 2 | valid |
| 16.0ms | 281× | 0 | valid |
ival-cbrt: 258.0ms (30.2% of total)adjust: 187.0ms (21.9% of total)const: 131.0ms (15.3% of total)ival-sub: 106.0ms (12.4% of total)ival-add: 101.0ms (11.8% of total)ival-<: 29.0ms (3.4% of total)ival->: 23.0ms (2.7% of total)ival-and: 11.0ms (1.3% of total)exact: 6.0ms (0.7% of total)ival-assert: 3.0ms (0.4% 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 |
| 42.0ms | 394× | 1 | valid |
| 32.0ms | 106× | 2 | valid |
| 1.0ms | 12× | 0 | valid |
Compiled 48 to 22 computations (54.2% saved)
ival-cbrt: 19.0ms (33.9% of total)ival-sub: 17.0ms (30.3% of total)adjust: 9.0ms (16% of total)ival-add: 9.0ms (16% 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 8 to 6 computations (25% saved)
Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 6.7% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cbrt.f64 x) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 80× | lower-fma.f64 |
| 80× | lower-fma.f32 |
| 48× | lower-*.f64 |
| 48× | lower-*.f32 |
| 36× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 10 | 18 |
| 1 | 15 | 18 |
| 2 | 19 | 18 |
| 3 | 25 | 18 |
| 4 | 33 | 18 |
| 5 | 48 | 18 |
| 6 | 80 | 18 |
| 7 | 106 | 18 |
| 8 | 150 | 18 |
| 9 | 165 | 18 |
| 10 | 173 | 18 |
| 0 | 173 | 18 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(cbrt.f64 x) |
| Outputs |
|---|
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.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 | 0.5313263672213042 | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.5430451172213042 | (cbrt.f64 x) | |
| accuracy | 59.67044845477003 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 33.0ms | 197× | 1 | valid |
| 8.0ms | 53× | 2 | valid |
| 0.0ms | 6× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-cbrt: 7.0ms (40.7% of total)adjust: 4.0ms (23.2% of total)ival-add: 3.0ms (17.4% of total)ival-sub: 2.0ms (11.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/3 x)) (taylor 0 x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1/3 (* -1/9 x)))) (taylor 0 x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (taylor 0 x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) (taylor inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) (taylor inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) (taylor inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) (taylor inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) (taylor inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) (taylor inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) (taylor -inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) (taylor -inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) (taylor -inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) (taylor -inf x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (cbrt x) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | -inf | ((- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (+ x 1) (cbrt x)) |
| 4.0ms | x | @ | inf | ((- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (+ x 1) (cbrt x)) |
| 2.0ms | x | @ | 0 | ((- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (+ x 1) (cbrt x)) |
| 1× | egg-herbie |
| 6 306× | lower-fma.f64 |
| 6 306× | lower-fma.f32 |
| 4 226× | lower-*.f64 |
| 4 226× | lower-*.f32 |
| 1 638× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 146 | 602 |
| 1 | 350 | 564 |
| 2 | 902 | 564 |
| 3 | 2613 | 561 |
| 4 | 5974 | 561 |
| 0 | 8120 | 528 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
1 |
(+ 1 (* 1/3 x)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(cbrt x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
| Outputs |
|---|
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/3 x)) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #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 (*.f64 (*.f64 (*.f64 x x) x) x)) #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 (*.f64 (*.f64 (*.f64 x x) x) x)) #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 (*.f64 (*.f64 (*.f64 x x) x) x)) #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)) |
(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 #s(literal 1 binary64) (*.f64 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 #s(literal 1 binary64) (*.f64 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 #s(literal 1 binary64) (*.f64 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 #s(literal 1 binary64) (*.f64 x x)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)))) (*.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 (*.f64 (*.f64 (*.f64 x x) x) x)) (/.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))))) (*.f64 (*.f64 x x) x))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) 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 (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))))) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) x))) (*.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 #s(literal 1 binary64) (*.f64 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))))) |
(neg.f64 (fma.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) x) (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 (*.f64 (*.f64 (*.f64 x x) x) x)))) (*.f64 x x)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(neg.f64 (fma.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) x) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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 (*.f64 (*.f64 (*.f64 x x) 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 (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))))) (*.f64 (*.f64 x x) x))) (*.f64 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)) |
(* -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 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)) (pow.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 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 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (-.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4/3 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))) (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) x) x)) (+.f64 (-.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 (fma.f64 x x x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2/3 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 (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(*.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2/3 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)) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))) (/.f64 (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))) |
(*.f64 (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))) (*.f64 (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))))) |
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))) |
(*.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
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(/.f64 (cbrt.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(/.f64 (cbrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) (fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 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))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 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 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 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 (pow.f64 x #s(literal 2/9 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/9 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (pow.f64 x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/9 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x x))) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) x)) (cbrt.f64 (*.f64 (sqrt.f64 x) x)) #s(literal 1 binary64)) |
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 7/3 binary64))) (pow.f64 x #s(literal 2/9 binary64)) #s(literal 1 binary64)) |
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 8/3 binary64))) (pow.f64 x #s(literal 1/9 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #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 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 (pow.f64 x #s(literal 1/9 binary64)) (cbrt.f64 (pow.f64 x #s(literal 8/3 binary64))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 2/9 binary64)) (cbrt.f64 (pow.f64 x #s(literal 7/3 binary64))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x x))) #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 x #s(literal 2/3 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 x #s(literal 2/3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 2/3 binary64)) (neg.f64 (cbrt.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (/.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 (cbrt.f64 x) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)) |
(fma.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2/3 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 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(cbrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(-.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 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(+.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 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #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 (pow.f64 x #s(literal 1/9 binary64)) (pow.f64 x #s(literal 2/9 binary64))) |
(*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 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 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) x) #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 (*.f64 #s(literal 1/2 binary64) (log.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 (*.f64 (log.f64 x) #s(literal 1/3 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64))) |
Compiled 8 225 to 1 305 computations (84.1% saved)
23 alts after pruning (22 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 381 | 22 | 403 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 381 | 23 | 404 |
| Status | Accuracy | Program |
|---|---|---|
| 5.4% | (-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x)) | |
| 7.0% | (-.f64 (exp.f64 (-.f64 (log1p.f64 x) (*.f64 #s(literal 2/3 binary64) (log1p.f64 x)))) (cbrt.f64 x)) | |
| 4.9% | (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x)) | |
| ▶ | 7.8% | (-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x)) |
| 5.9% | (-.f64 (cbrt.f64 (fma.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) x)) (cbrt.f64 (*.f64 (sqrt.f64 x) x)) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| 4.7% | (-.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 x))) (cbrt.f64 x)) | |
| 7.8% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) | |
| 6.4% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (*.f64 x x) #s(literal 1/6 binary64))) | |
| ▶ | 7.8% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
| 6.8% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) | |
| 7.8% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| ▶ | 7.8% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64)))) |
| 7.2% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64)))) | |
| ✓ | 6.7% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 6.0% | (-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x)) | |
| 4.2% | (-.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)) |
| 4.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) | |
| 25.5% | #s(approx (- (cbrt (+ x 1)) (cbrt 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 (*.f64 (*.f64 (*.f64 x x) x) x)))) (*.f64 x x))) | |
| 25.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #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))) | |
| 25.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #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))) | |
| 25.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/3 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 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
Compiled 612 to 418 computations (31.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal 5/6 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64)))) | |
| cost-diff | 0 | (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) | |
| cost-diff | 0 | (cbrt.f64 x) | |
| cost-diff | 0 | #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
| 404× | lower-fma.f32 |
| 402× | lower-fma.f64 |
| 234× | lower-*.f32 |
| 228× | lower-*.f64 |
| 152× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 162 |
| 0 | 56 | 162 |
| 1 | 76 | 162 |
| 2 | 95 | 162 |
| 3 | 125 | 162 |
| 4 | 163 | 162 |
| 5 | 229 | 162 |
| 6 | 350 | 162 |
| 7 | 442 | 162 |
| 8 | 619 | 162 |
| 9 | 694 | 162 |
| 10 | 734 | 162 |
| 0 | 734 | 162 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
#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 (sqrt.f64 x) #s(literal 2/3 binary64))) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) |
(sqrt.f64 x) |
#s(literal 2/3 binary64) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64)))) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))) |
(pow.f64 x #s(literal 2/9 binary64)) |
#s(literal 2/9 binary64) |
(pow.f64 x #s(literal 1/9 binary64)) |
#s(literal 1/9 binary64) |
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x)) |
(cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 5/6 binary64)) |
x |
#s(literal 5/6 binary64) |
(pow.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(cbrt.f64 x) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (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) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
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 (sqrt.f64 x) #s(literal 2/3 binary64))) |
(-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
(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 (sqrt.f64 x) #s(literal 2/3 binary64)) |
(sqrt.f64 x) |
#s(literal 2/3 binary64) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64)))) |
(fma.f64 (neg.f64 (pow.f64 x #s(literal 1/9 binary64))) (pow.f64 x #s(literal 2/9 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(cbrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
x |
#s(literal 1 binary64) |
(*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/9 binary64)) (pow.f64 x #s(literal 2/9 binary64))) |
(pow.f64 x #s(literal 2/9 binary64)) |
#s(literal 2/9 binary64) |
(pow.f64 x #s(literal 1/9 binary64)) |
#s(literal 1/9 binary64) |
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x)) |
(cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(cbrt.f64 (fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 5/6 binary64)) |
x |
#s(literal 5/6 binary64) |
(pow.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(cbrt.f64 x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.5391388672213042 | (cbrt.f64 x) | |
| accuracy | 4.136051727860994 | (pow.f64 x #s(literal 1/6 binary64)) | |
| accuracy | 6.0376752963198035 | (pow.f64 x #s(literal 5/6 binary64)) | |
| accuracy | 59.66137842314938 | (-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| accuracy | 0.5313263672213042 | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 3.5913624194066465 | (pow.f64 x #s(literal 1/9 binary64)) | |
| accuracy | 4.481157251147954 | (pow.f64 x #s(literal 2/9 binary64)) | |
| accuracy | 59.66137842314938 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64)))) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.5313263672213042 | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 5.0377179625504125 | (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) | |
| accuracy | 59.66137842314938 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) | |
| accuracy | 0.5391388672213042 | (cbrt.f64 x) | |
| accuracy | 58.77351482538444 | #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) | |
| accuracy | 59.66137842314938 | (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) | |
| accuracy | 0.36328125 | (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) | |
| accuracy | 0.9554237406024624 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) | |
| accuracy | 1.005871610841413 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) | |
| accuracy | 28.063641004507804 | (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 189.0ms | 197× | 1 | valid |
| 140.0ms | 53× | 2 | valid |
| 11.0ms | 1× | 5 | exit |
| 2.0ms | 5× | 0 | valid |
Compiled 154 to 34 computations (77.9% saved)
ival-pow: 142.0ms (48% of total)const: 67.0ms (22.7% of total)adjust: 25.0ms (8.5% of total)ival-add: 15.0ms (5.1% of total)ival-cbrt: 13.0ms (4.4% of total)ival-sub: 10.0ms (3.4% of total)ival-mult: 10.0ms (3.4% of total)ival-sqrt: 4.0ms (1.4% of total)ival-fabs: 3.0ms (1% of total)ival-copysign: 3.0ms (1% of total)ival-div: 2.0ms (0.7% 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 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 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 (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) (patch (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64)))) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))) (patch (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.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)) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 5/6 binary64)) (patch (pow.f64 x #s(literal 5/6 binary64)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 2/9 binary64)) (patch (pow.f64 x #s(literal 2/9 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 1/9 binary64)) (patch (pow.f64 x #s(literal 1/9 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 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 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>) () ())) ()) |
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#s(alt (* -1 (* x (- (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (cbrt -1) 5)))) (* -5/81 (cbrt (/ (pow x 7) (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) (taylor -inf x) (#s(alt (-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.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)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (cbrt (* x (cbrt -1)))) (taylor -inf x) (#s(alt (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1/3 (cbrt (/ 1 (* (pow x 5) (pow (cbrt -1) 2)))))))) (taylor -inf x) (#s(alt (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* 1/9 (cbrt (/ x (pow (cbrt -1) 5)))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3)))))) (taylor -inf x) (#s(alt (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (cbrt -1) 5)))) (* -5/81 (cbrt (/ (pow x 7) (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3)))))) (taylor -inf x) (#s(alt (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (cbrt -1))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (cbrt -1) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (cbrt -1) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (cbrt -1) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5/6 binary64)) (patch (pow.f64 x #s(literal 5/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5/6 binary64)) (patch (pow.f64 x #s(literal 5/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5/6 binary64)) (patch (pow.f64 x #s(literal 5/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5/6 binary64)) (patch (pow.f64 x #s(literal 5/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (pow (* 1 (pow x 2)) 1/9) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 2/9 binary64)) (patch (pow.f64 x #s(literal 2/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (* 1 (pow x 2)) 1/9) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 2/9 binary64)) (patch (pow.f64 x #s(literal 2/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (* 1 (pow x 2)) 1/9) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 2/9 binary64)) (patch (pow.f64 x #s(literal 2/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (* 1 (pow x 2)) 1/9) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 2/9 binary64)) (patch (pow.f64 x #s(literal 2/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/9 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 1/9 binary64)) (patch (pow.f64 x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/9 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 1/9 binary64)) (patch (pow.f64 x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/9 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 1/9 binary64)) (patch (pow.f64 x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/9 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 1/9 binary64)) (patch (pow.f64 x #s(literal 1/9 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 | |
|---|---|---|---|---|
| 93.0ms | 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) (- (cbrt (+ x 1)) (pow (sqrt x) 2/3)) (cbrt (+ x 1)) (+ x 1) (pow (sqrt x) 2/3) (- (cbrt (+ x 1)) (* (pow x 2/9) (pow x 1/9))) (* (pow x 2/9) (pow x 1/9)) (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (+ (* (pow x 5/6) (pow x 1/6)) 1) (pow x 5/6) (sqrt x) (pow x 2/9) (pow x 1/9) (pow x 1/6)) |
| 79.0ms | 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) (- (cbrt (+ x 1)) (pow (sqrt x) 2/3)) (cbrt (+ x 1)) (+ x 1) (pow (sqrt x) 2/3) (- (cbrt (+ x 1)) (* (pow x 2/9) (pow x 1/9))) (* (pow x 2/9) (pow x 1/9)) (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (+ (* (pow x 5/6) (pow x 1/6)) 1) (pow x 5/6) (sqrt x) (pow x 2/9) (pow x 1/9) (pow x 1/6)) |
| 45.0ms | 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) (- (cbrt (+ x 1)) (pow (sqrt x) 2/3)) (cbrt (+ x 1)) (+ x 1) (pow (sqrt x) 2/3) (- (cbrt (+ x 1)) (* (pow x 2/9) (pow x 1/9))) (* (pow x 2/9) (pow x 1/9)) (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (+ (* (pow x 5/6) (pow x 1/6)) 1) (pow x 5/6) (sqrt x) (pow x 2/9) (pow x 1/9) (pow x 1/6)) |
| 1× | egg-herbie |
| 12 430× | lower-fma.f64 |
| 12 430× | lower-fma.f32 |
| 4 442× | lower-*.f64 |
| 4 442× | lower-*.f32 |
| 2 176× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 261 | 120259086907 |
| 1 | 665 | 120259086774 |
| 2 | 2215 | 85899348584 |
| 3 | 5193 | 85899348549 |
| 0 | 8311 | 2573 |
| 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) |
(- 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 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
1 |
(+ 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) |
(pow (* 1 (pow x 5)) 1/6) |
(pow (* 1 (pow x 5)) 1/6) |
(pow (* 1 (pow x 5)) 1/6) |
(pow (* 1 (pow x 5)) 1/6) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(pow (* 1 (pow x 2)) 1/9) |
(pow (* 1 (pow x 2)) 1/9) |
(pow (* 1 (pow x 2)) 1/9) |
(pow (* 1 (pow x 2)) 1/9) |
(pow (* 1 x) 1/9) |
(pow (* 1 x) 1/9) |
(pow (* 1 x) 1/9) |
(pow (* 1 x) 1/9) |
(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) |
(* 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)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(* 1/3 (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))) |
(pow (* 1 (pow x 5)) 1/6) |
(pow (* 1 (pow x 5)) 1/6) |
(pow (* 1 (pow x 5)) 1/6) |
(pow (* 1 (pow x 5)) 1/6) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(pow (* 1 (pow x 2)) 1/9) |
(pow (* 1 (pow x 2)) 1/9) |
(pow (* 1 (pow x 2)) 1/9) |
(pow (* 1 (pow x 2)) 1/9) |
(pow (* 1 x) 1/9) |
(pow (* 1 x) 1/9) |
(pow (* 1 x) 1/9) |
(pow (* 1 x) 1/9) |
(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 (* x (- (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (cbrt (/ (pow (sqrt -1) 2) (pow x 2)))))) |
(* -1 (* x (- (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ (pow (sqrt -1) 2) (pow x 2)))))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ (pow (sqrt -1) 2) (pow x 2)))))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ (pow (sqrt -1) 2) (pow x 2)))))) |
(* -1 (* (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 (pow (sqrt -1) 2)))) |
(* -1 (cbrt (* x (pow (sqrt -1) 2)))) |
(* -1 (cbrt (* x (pow (sqrt -1) 2)))) |
(* -1 (cbrt (* x (pow (sqrt -1) 2)))) |
(* -1 (* x (- (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (* (pow -1 1/9) (cbrt (/ 1 (pow x 2))))))) |
(* -1 (* x (- (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* (pow -1 1/9) (cbrt (/ 1 (pow x 2))))))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* (pow -1 1/9) (cbrt (/ 1 (pow x 2))))))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* (pow -1 1/9) (cbrt (/ 1 (pow x 2))))))) |
(* -1 (* (pow -1 1/9) (cbrt x))) |
(* -1 (* (pow -1 1/9) (cbrt x))) |
(* -1 (* (pow -1 1/9) (cbrt x))) |
(* -1 (* (pow -1 1/9) (cbrt x))) |
(* -1 (* x (- (cbrt (/ (cbrt -1) (pow x 2))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1/3 (cbrt (/ 1 (* (pow x 5) (pow (cbrt -1) 2)))))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* 1/9 (cbrt (/ x (pow (cbrt -1) 5)))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (cbrt -1) 5)))) (* -5/81 (cbrt (/ (pow x 7) (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (cbrt (* x (cbrt -1)))) |
(* -1 (* x (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1/3 (cbrt (/ 1 (* (pow x 5) (pow (cbrt -1) 2)))))))) |
(* -1 (* x (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* 1/9 (cbrt (/ x (pow (cbrt -1) 5)))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3)))))) |
(* -1 (* x (+ (cbrt (/ (cbrt -1) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (cbrt -1) 5)))) (* -5/81 (cbrt (/ (pow x 7) (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (cbrt -1) 2))))) (pow x 3)))))) |
(* -1 (* x (cbrt -1))) |
(* -1 (* x (- (cbrt -1) (/ 1 x)))) |
(* -1 (* x (- (cbrt -1) (/ 1 x)))) |
(* -1 (* x (- (cbrt -1) (/ 1 x)))) |
(exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) |
(exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) |
(exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) |
(exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(pow (* 1 (pow x 2)) 1/9) |
(pow (* 1 (pow x 2)) 1/9) |
(pow (* 1 (pow x 2)) 1/9) |
(pow (* 1 (pow x 2)) 1/9) |
(exp (* 1/9 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(exp (* 1/9 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(exp (* 1/9 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(exp (* 1/9 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(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) |
(- 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 (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 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)) |
(pow (* 1 (pow x 5)) 1/6) |
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64)) |
(pow (* 1 (pow x 5)) 1/6) |
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64)) |
(pow (* 1 (pow x 5)) 1/6) |
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64)) |
(pow (* 1 (pow x 5)) 1/6) |
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(pow (* 1 (pow x 2)) 1/9) |
(pow.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(pow (* 1 (pow x 2)) 1/9) |
(pow.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(pow (* 1 (pow x 2)) 1/9) |
(pow.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(pow (* 1 (pow x 2)) 1/9) |
(pow.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(pow (* 1 x) 1/9) |
(pow.f64 x #s(literal 1/9 binary64)) |
(pow (* 1 x) 1/9) |
(pow.f64 x #s(literal 1/9 binary64)) |
(pow (* 1 x) 1/9) |
(pow.f64 x #s(literal 1/9 binary64)) |
(pow (* 1 x) 1/9) |
(pow.f64 x #s(literal 1/9 binary64)) |
(pow (* 1 x) 1/6) |
(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))) |
(/ 1 (pow x 2)) |
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(/ 1 (pow x 2)) |
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(/ 1 (pow x 2)) |
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(/ 1 (pow x 2)) |
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(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
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(cbrt x) |
(cbrt.f64 x) |
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(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
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(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
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(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
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(cbrt x) |
(cbrt.f64 x) |
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(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) |
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x |
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(* x (+ 1 (/ 1 x))) |
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(* 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)))) |
(*.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)) |
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(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
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(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)))) |
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(cbrt x) |
(cbrt.f64 x) |
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(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) |
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x |
(* x (+ 1 (/ 1 x))) |
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(* x (+ 1 (/ 1 x))) |
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(* x (+ 1 (/ 1 x))) |
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(pow (* 1 (pow x 5)) 1/6) |
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64)) |
(pow (* 1 (pow x 5)) 1/6) |
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64)) |
(pow (* 1 (pow x 5)) 1/6) |
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64)) |
(pow (* 1 (pow x 5)) 1/6) |
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(pow (* 1 (pow x 2)) 1/9) |
(pow.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(pow (* 1 (pow x 2)) 1/9) |
(pow.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(pow (* 1 (pow x 2)) 1/9) |
(pow.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(pow (* 1 (pow x 2)) 1/9) |
(pow.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(pow (* 1 x) 1/9) |
(pow.f64 x #s(literal 1/9 binary64)) |
(pow (* 1 x) 1/9) |
(pow.f64 x #s(literal 1/9 binary64)) |
(pow (* 1 x) 1/9) |
(pow.f64 x #s(literal 1/9 binary64)) |
(pow (* 1 x) 1/9) |
(pow.f64 x #s(literal 1/9 binary64)) |
(pow (* 1 x) 1/6) |
(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))) (/ 1 (pow (cbrt -1) 2)))) |
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(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
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(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (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)))) |
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(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
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(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
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(/ 1 (pow x 2)) |
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(/ 1 (pow x 2)) |
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(/ 1 (pow x 2)) |
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(/ 1 (pow x 2)) |
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(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
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(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
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(-.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) x)) |
(* -1 (* x (- (cbrt -1) (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) x)) |
(exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64))) |
(exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64))) |
(exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64))) |
(exp (* 1/6 (+ (log -1) (* -5 (log (/ -1 x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5/6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(pow (* 1 (pow x 2)) 1/9) |
(pow.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(pow (* 1 (pow x 2)) 1/9) |
(pow.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(pow (* 1 (pow x 2)) 1/9) |
(pow.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(pow (* 1 (pow x 2)) 1/9) |
(pow.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(exp (* 1/9 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/9 binary64)) |
(exp (* 1/9 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/9 binary64)) |
(exp (* 1/9 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/9 binary64)) |
(exp (* 1/9 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/9 binary64)) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)) |
| 12 806× | lower-fma.f32 |
| 12 804× | lower-fma.f64 |
| 5 040× | lower-*.f32 |
| 5 034× | lower-*.f64 |
| 2 272× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 134 |
| 0 | 56 | 105 |
| 1 | 178 | 97 |
| 2 | 997 | 97 |
| 0 | 8297 | 94 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(-.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) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64)))) |
(*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))) |
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x)) |
(cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 5/6 binary64)) |
(sqrt.f64 x) |
(pow.f64 x #s(literal 2/9 binary64)) |
(pow.f64 x #s(literal 1/9 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 x #s(literal -2/3 binary64)))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/3 binary64))) (pow.f64 x #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/3 binary64)) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4/9 binary64))) (pow.f64 x #s(literal 2/9 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/9 binary64))) (pow.f64 x #s(literal 5/9 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/9 binary64))) (pow.f64 x #s(literal 4/9 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (cbrt.f64 x)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/3 binary64))) (pow.f64 x #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/9 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/9 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 5/9 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 4/9 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 2/9 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/9 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 4/9 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 11/6 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 11/6 binary64)) #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 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 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal -1/3 binary64))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (neg.f64 x) x)))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64))))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) |
(pow.f64 x #s(literal -2/3 binary64)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal 5/18 binary64))) (pow.f64 x #s(literal 1/18 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal 1/18 binary64))) (pow.f64 x #s(literal 5/18 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal 1/9 binary64))) (pow.f64 x #s(literal 2/9 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal 2/9 binary64))) (pow.f64 x #s(literal 1/9 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4/9 binary64))) (pow.f64 x #s(literal 2/9 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/9 binary64))) (pow.f64 x #s(literal 5/9 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/9 binary64))) (pow.f64 x #s(literal 4/9 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (neg.f64 (cbrt.f64 x))) |
(/.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (cbrt.f64 (*.f64 (neg.f64 x) x)))) |
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 2/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(exp.f64 (neg.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2/3 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7/12 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 5/12 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11/12 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/12 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/12 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 7/12 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/12 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 11/12 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 5/6 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 2/3 binary64)))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 11/6 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 7/6 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/12 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 5/12 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/12 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 7/12 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 11/12 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 11/12 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 11/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -6 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1 binary64)) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7/6 binary64))) (pow.f64 x #s(literal 5/6 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11/6 binary64))) (pow.f64 x #s(literal 1/6 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/3 binary64))) (cbrt.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (neg.f64 x)) |
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(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 1/9 binary64)) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 5/18 binary64))) |
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/6 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/12 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)) |
(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 6 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/9 binary64)) #s(literal 9/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(cbrt.f64 (*.f64 (sqrt.f64 x) x)) |
(sqrt.f64 x) |
(fabs.f64 (sqrt.f64 x)) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 5/12 binary64) (*.f64 (log.f64 x) #s(literal 1/12 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/12 binary64) (*.f64 (log.f64 x) #s(literal 5/12 binary64)))) |
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 1/3 binary64)) (*.f64 (log.f64 x) #s(literal 1/3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/6 binary64) (*.f64 (log.f64 x) #s(literal 1/3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 1/3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/3 binary64) (*.f64 (log.f64 x) #s(literal 1/6 binary64)))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/6 binary64)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/36 binary64))) (pow.f64 x #s(literal 1/36 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/9 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/9 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 11/6 binary64)) #s(literal 1/9 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64)) (pow.f64 (pow.f64 x #s(literal 11/6 binary64)) #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal 1/9 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/9 binary64)) (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/12 binary64)) #s(literal 2/9 binary64)) (pow.f64 (pow.f64 x #s(literal 5/12 binary64)) #s(literal 2/9 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/12 binary64)) #s(literal 2/9 binary64)) (pow.f64 (pow.f64 x #s(literal 7/12 binary64)) #s(literal 2/9 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 11/12 binary64)) #s(literal 2/9 binary64)) (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 2/9 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 2/9 binary64)) (pow.f64 (pow.f64 x #s(literal 11/12 binary64)) #s(literal 2/9 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2/9 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 2/9 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 2/9 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2/9 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 2/9 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2/9 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2/9 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 2/9 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2/9 binary64)) (pow.f64 x #s(literal 2/9 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/36 binary64)) (*.f64 (pow.f64 x #s(literal 1/36 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/18 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/18 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 2/9 binary64))) |
(pow.f64 (exp.f64 #s(literal 2/9 binary64)) (log.f64 x)) |
(pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/18 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/18 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/9 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 4/9 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 2/3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(pow.f64 x #s(literal 2/9 binary64)) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/9 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/9 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/9 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2/9 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/18 binary64)) (pow.f64 x #s(literal 1/36 binary64))) (pow.f64 x #s(literal 1/36 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 11/6 binary64)) #s(literal 1/18 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1/18 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal 1/18 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/18 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal 1/18 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/18 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/12 binary64)) #s(literal 1/9 binary64)) (pow.f64 (pow.f64 x #s(literal 5/12 binary64)) #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/12 binary64)) #s(literal 1/9 binary64)) (pow.f64 (pow.f64 x #s(literal 7/12 binary64)) #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 11/12 binary64)) #s(literal 1/9 binary64)) (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 1/9 binary64)) (pow.f64 (pow.f64 x #s(literal 11/12 binary64)) #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/9 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1/18 binary64)) (pow.f64 (pow.f64 x #s(literal 11/6 binary64)) #s(literal 1/18 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/18 binary64)) (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal 1/18 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/18 binary64)) (pow.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal 1/18 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/9 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/9 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/9 binary64)) (pow.f64 x #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/36 binary64)) (*.f64 (pow.f64 x #s(literal 1/36 binary64)) (pow.f64 x #s(literal 1/18 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/18 binary64)) (pow.f64 x #s(literal 1/18 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/9 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/18 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/9 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/9 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 1/18 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 2/9 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/18 binary64)) |
(pow.f64 x #s(literal 1/9 binary64)) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/18 binary64) (*.f64 (log.f64 x) #s(literal 1/18 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/18 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/18 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/18 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/9 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/24 binary64))) (pow.f64 x #s(literal 1/24 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/9 binary64)) (pow.f64 x #s(literal 1/36 binary64))) (pow.f64 x #s(literal 1/36 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/18 binary64)) (pow.f64 x #s(literal 1/36 binary64))) (*.f64 (pow.f64 x #s(literal 1/18 binary64)) (pow.f64 x #s(literal 1/36 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/36 binary64)) (pow.f64 x #s(literal 1/18 binary64))) (*.f64 (pow.f64 x #s(literal 1/36 binary64)) (pow.f64 x #s(literal 1/18 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 11/6 binary64)) #s(literal 1/12 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1/12 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal 1/12 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/12 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/36 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/12 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 5/12 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/12 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 7/12 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 11/12 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 11/12 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/18 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1/12 binary64)) (pow.f64 (pow.f64 x #s(literal 11/6 binary64)) #s(literal 1/12 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/12 binary64)) (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal 1/12 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 1/12 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/36 binary64)) (*.f64 (pow.f64 x #s(literal 1/36 binary64)) (pow.f64 x #s(literal 1/9 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/36 binary64)) (pow.f64 (pow.f64 x #s(literal 5/3 binary64)) #s(literal 1/12 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 1/18 binary64)) (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/18 binary64)) (pow.f64 x #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (*.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 1 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 1/12 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 1/9 binary64)) (pow.f64 x #s(literal 1/18 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/6 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 1/18 binary64)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) x) #s(literal 1/18 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(pow.f64 x #s(literal 1/6 binary64)) |
(cbrt.f64 (sqrt.f64 x)) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/9 binary64) (*.f64 (log.f64 x) #s(literal 1/18 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/12 binary64) (*.f64 (log.f64 x) #s(literal 1/12 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/18 binary64) (*.f64 (log.f64 x) #s(literal 1/9 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/12 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/12 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/12 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/6 binary64))) |
Compiled 30 175 to 3 137 computations (89.6% saved)
43 alts after pruning (40 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 625 | 35 | 1 660 |
| Fresh | 12 | 5 | 17 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 640 | 43 | 1 683 |
| Status | Accuracy | Program |
|---|---|---|
| 7.8% | (fma.f64 (pow.f64 x #s(literal 1/12 binary64)) (*.f64 (pow.f64 x #s(literal 1/12 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) | |
| 8.5% | (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))) | |
| 8.5% | (/.f64 (+.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))))) | |
| 4.3% | (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)) | |
| 5.6% | (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) | |
| 6.4% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (*.f64 x x) #s(literal 1/6 binary64))) | |
| 7.8% | (-.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)) |
| 25.5% | #s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 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))) | |
| 20.3% | #s(approx (- (cbrt (+ x 1)) (pow (sqrt x) 2/3)) (*.f64 (fma.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (fma.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))))) x)) | |
| 25.5% | #s(approx (- (cbrt (+ x 1)) (cbrt 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 (*.f64 (*.f64 (*.f64 x x) x) x)))) (*.f64 x x))) | |
| 25.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #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))) | |
| 25.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) | |
| 90.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64)))) | |
| ▶ | 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x))) |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))) | |
| ▶ | 96.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
| 96.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)) (cbrt.f64 x))) | |
| 52.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (neg.f64 x) x)))) | |
| 89.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))) | |
| 89.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) | |
| 48.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) | |
| 89.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64))) | |
| 96.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) | |
| 89.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) | |
| 90.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64))) #s(literal 1/3 binary64))) | |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) #s(literal 1/3 binary64))) | |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64))) #s(literal 1/3 binary64))) | |
| 96.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)) #s(literal 1/3 binary64))) | |
| ▶ | 96.7% | #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))) |
| 52.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 (neg.f64 x) x))) #s(literal 1/3 binary64))) | |
| 89.0% | #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))) | |
| 84.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -1/3 binary64))) #s(literal 1/3 binary64))) | |
| 96.6% | #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))) | |
| 89.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (neg.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)))) #s(literal 1/3 binary64))) | |
| ▶ | 53.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64))) |
| 54.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 1/3 binary64))) | |
| 54.2% | #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 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
| 54.2% | #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))) | |
| 54.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64))) |
Compiled 1 092 to 731 computations (33.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (cbrt.f64 x) #s(literal -6 binary64)) | |
| cost-diff | 0 | (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) | |
| cost-diff | 0 | (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (cbrt.f64 x) | |
| cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) | |
| cost-diff | 7040 | (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) | |
| cost-diff | 0 | (pow.f64 x #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x))) | |
| cost-diff | 384 | (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.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)) (pow.f64 x #s(literal 1/3 binary64))) | |
| cost-diff | 64 | (pow.f64 x #s(literal 1/3 binary64)) | |
| 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))) |
| 292× | lower-fma.f64 |
| 292× | lower-fma.f32 |
| 248× | lower-*.f32 |
| 244× | lower-*.f64 |
| 112× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 176 |
| 0 | 51 | 174 |
| 1 | 69 | 174 |
| 2 | 86 | 174 |
| 3 | 99 | 174 |
| 4 | 115 | 174 |
| 5 | 145 | 174 |
| 6 | 207 | 174 |
| 7 | 258 | 174 |
| 8 | 333 | 174 |
| 9 | 367 | 174 |
| 10 | 431 | 174 |
| 11 | 479 | 174 |
| 12 | 577 | 174 |
| 13 | 724 | 174 |
| 14 | 778 | 174 |
| 15 | 798 | 174 |
| 16 | 812 | 174 |
| 17 | 814 | 174 |
| 0 | 814 | 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) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(pow.f64 x #s(literal 1/3 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) |
#s(literal 1/3 binary64) |
(pow.f64 x #s(literal 1/6 binary64)) |
x |
#s(literal 1/6 binary64) |
(sqrt.f64 x) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) |
#s(literal 1/3 binary64) |
(cbrt.f64 x) |
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))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64)) |
(cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) |
(pow.f64 (cbrt.f64 x) #s(literal -6 binary64)) |
(cbrt.f64 x) |
x |
#s(literal -6 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) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 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) |
(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 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/6 binary64))))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/6 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) |
#s(literal 1/3 binary64) |
(pow.f64 x #s(literal 1/6 binary64)) |
x |
#s(literal 1/6 binary64) |
(sqrt.f64 x) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) |
#s(literal 1/3 binary64) |
(cbrt.f64 x) |
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))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64)) |
(cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) |
(pow.f64 (cbrt.f64 x) #s(literal -6 binary64)) |
(cbrt.f64 x) |
x |
#s(literal -6 binary64) |
#s(literal 1/3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.5430451172213042 | (cbrt.f64 x) | |
| accuracy | 0.5475005609247197 | (pow.f64 (cbrt.f64 x) #s(literal -6 binary64)) | |
| accuracy | 1.1418989826667054 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64))) | |
| accuracy | 28.067547254507804 | (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) | |
| accuracy | 0.3209762695368841 | (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) | |
| accuracy | 0.34375 | (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) | |
| accuracy | 0.5430451172213042 | (cbrt.f64 x) | |
| accuracy | 1.1418989826667054 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) | |
| accuracy | 0.2890625 | (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) | |
| accuracy | 0.3671875 | (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) | |
| accuracy | 1.1418989826667054 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x))) | |
| accuracy | 4.136051727860994 | (pow.f64 x #s(literal 1/6 binary64)) | |
| accuracy | 5.03909100379328 | (pow.f64 x #s(literal 1/3 binary64)) | |
| accuracy | 58.97685875472232 | #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) | |
| accuracy | 59.67044845477003 | (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64))) | |
| accuracy | 0.3671875 | (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) | |
| accuracy | 0.5430451172213042 | (cbrt.f64 (neg.f64 x)) | |
| accuracy | 0.6544114258319566 | (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 1.1418989826667054 | #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))) |
| 101.0ms | 197× | 1 | valid |
| 92.0ms | 52× | 2 | valid |
| 1.0ms | 7× | 0 | valid |
Compiled 138 to 27 computations (80.4% saved)
ival-div: 35.0ms (30.9% of total)ival-cbrt: 26.0ms (22.9% of total)ival-pow: 18.0ms (15.9% of total)const: 10.0ms (8.8% of total)adjust: 10.0ms (8.8% of total)ival-mult: 5.0ms (4.4% of total)ival-add: 3.0ms (2.6% of total)ival-sub: 2.0ms (1.8% of total)ival-sqrt: 2.0ms (1.8% of total)ival-neg: 1.0ms (0.9% 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 #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 (pow.f64 x #s(literal 1/3 binary64)) (patch (pow.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64))) (patch (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64))) #<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 (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 1/6 binary64)) (patch (pow.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (patch (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) (patch (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (cbrt.f64 x) #s(literal -6 binary64)) (patch (pow.f64 (cbrt.f64 x) #s(literal -6 binary64)) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 (neg.f64 x)) (patch (cbrt.f64 (neg.f64 x)) #<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 (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 (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64))) (patch (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64))) #<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)) (pow.f64 x #s(literal 1/3 binary64))) (patch (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.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 (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64))) (patch (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.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 (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64))) (patch (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64))) #<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 (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x))) #<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 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x))) #<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 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.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 (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (pow (/ 1 x) 1/6)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (pow (/ 1 x) 1/6)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (pow (/ 1 x) 1/6)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (pow (/ 1 x) 1/6)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow (* 1 x) 1/6) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 1/6 binary64)) (patch (pow.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (* 1 x) 1/6) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 1/6 binary64)) (patch (pow.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (* 1 x) 1/6) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 1/6 binary64)) (patch (pow.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (* 1 x) 1/6) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 1/6 binary64)) (patch (pow.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) #<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 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) #<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 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (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 (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 x))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (patch (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 x))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (patch (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 137.0ms | x | @ | -inf | ((- (cbrt (+ x 1)) (cbrt x)) (* (/ (cbrt (/ -1 x)) (cbrt (neg x))) 1/3) (/ (cbrt (/ -1 x)) (cbrt (neg x))) (cbrt (/ -1 x)) (pow x 1/3) (- (cbrt (+ x 1)) (pow x 1/3)) (cbrt (+ x 1)) (/ (/ 1/3 (pow x 1/6)) (sqrt x)) (- (cbrt (+ x 1)) (cbrt x)) (/ 1/3 (pow x 1/6)) (pow x 1/6) (/ (/ 1/3 (cbrt x)) (cbrt x)) (- (cbrt (+ x 1)) (cbrt x)) (/ 1/3 (cbrt x)) (cbrt x) (- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (pow (cbrt x) -6)) 1/3) (cbrt (pow (cbrt x) -6)) (pow (cbrt x) -6) (cbrt (neg x))) |
| 82.0ms | x | @ | inf | ((- (cbrt (+ x 1)) (cbrt x)) (* (/ (cbrt (/ -1 x)) (cbrt (neg x))) 1/3) (/ (cbrt (/ -1 x)) (cbrt (neg x))) (cbrt (/ -1 x)) (pow x 1/3) (- (cbrt (+ x 1)) (pow x 1/3)) (cbrt (+ x 1)) (/ (/ 1/3 (pow x 1/6)) (sqrt x)) (- (cbrt (+ x 1)) (cbrt x)) (/ 1/3 (pow x 1/6)) (pow x 1/6) (/ (/ 1/3 (cbrt x)) (cbrt x)) (- (cbrt (+ x 1)) (cbrt x)) (/ 1/3 (cbrt x)) (cbrt x) (- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (pow (cbrt x) -6)) 1/3) (cbrt (pow (cbrt x) -6)) (pow (cbrt x) -6) (cbrt (neg x))) |
| 81.0ms | x | @ | 0 | ((- (cbrt (+ x 1)) (cbrt x)) (* (/ (cbrt (/ -1 x)) (cbrt (neg x))) 1/3) (/ (cbrt (/ -1 x)) (cbrt (neg x))) (cbrt (/ -1 x)) (pow x 1/3) (- (cbrt (+ x 1)) (pow x 1/3)) (cbrt (+ x 1)) (/ (/ 1/3 (pow x 1/6)) (sqrt x)) (- (cbrt (+ x 1)) (cbrt x)) (/ 1/3 (pow x 1/6)) (pow x 1/6) (/ (/ 1/3 (cbrt x)) (cbrt x)) (- (cbrt (+ x 1)) (cbrt x)) (/ 1/3 (cbrt x)) (cbrt x) (- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (pow (cbrt x) -6)) 1/3) (cbrt (pow (cbrt x) -6)) (pow (cbrt x) -6) (cbrt (neg x))) |
| 1× | egg-herbie |
| 6 798× | lower-fma.f64 |
| 6 798× | lower-fma.f32 |
| 4 594× | lower-*.f64 |
| 4 594× | lower-*.f32 |
| 1 786× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 173 | 2852 |
| 1 | 403 | 2686 |
| 2 | 1152 | 2678 |
| 3 | 3114 | 2655 |
| 4 | 5692 | 2655 |
| 0 | 8120 | 2550 |
| 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)) |
(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))))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* 1/3 (pow (/ 1 x) 1/6)) |
(* 1/3 (pow (/ 1 x) 1/6)) |
(* 1/3 (pow (/ 1 x) 1/6)) |
(* 1/3 (pow (/ 1 x) 1/6)) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 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)) |
(* 1/3 (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)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* 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)) |
(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)))))))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(* 1/3 (pow (/ 1 x) 1/6)) |
(* 1/3 (pow (/ 1 x) 1/6)) |
(* 1/3 (pow (/ 1 x) 1/6)) |
(* 1/3 (pow (/ 1 x) 1/6)) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 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)) |
(* 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)) |
(* (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)))) |
(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) (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))))) |
(* 1/3 (* (pow -1 1/6) (* (cbrt (/ 1 (pow x 2))) (/ 1 (sqrt -1))))) |
(* 1/3 (* (pow -1 1/6) (* (cbrt (/ 1 (pow x 2))) (/ 1 (sqrt -1))))) |
(* 1/3 (* (pow -1 1/6) (* (cbrt (/ 1 (pow x 2))) (/ 1 (sqrt -1))))) |
(* 1/3 (* (pow -1 1/6) (* (cbrt (/ 1 (pow x 2))) (/ 1 (sqrt -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 (exp (* 1/6 (+ (log -1) (log (/ -1 x)))))) |
(* 1/3 (exp (* 1/6 (+ (log -1) (log (/ -1 x)))))) |
(* 1/3 (exp (* 1/6 (+ (log -1) (log (/ -1 x)))))) |
(* 1/3 (exp (* 1/6 (+ (log -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)))))) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(* 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)) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* -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)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* (cbrt (/ 1 (pow x 2))) (/ 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 (* (pow x 2) (pow (cbrt -1) 6))) |
(/ 1 (* (pow x 2) (pow (cbrt -1) 6))) |
(/ 1 (* (pow x 2) (pow (cbrt -1) 6))) |
(/ 1 (* (pow x 2) (pow (cbrt -1) 6))) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(* -1 (cbrt 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))) |
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(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)))) (*.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 (*.f64 (*.f64 (*.f64 x x) x) x)) (/.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))))) (*.f64 (*.f64 x x) x))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) 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 (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))))) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) x))) (*.f64 x x)) |
(* 1/3 (cbrt (/ 1 x))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 x))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 x))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 x))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 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)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)))) (*.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 (*.f64 (*.f64 (*.f64 x x) x) x)) (/.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))))) (*.f64 (*.f64 x x) x))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) 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 (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))))) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) x))) (*.f64 x x)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/ 1 (* (pow x 2) (pow (cbrt -1) 6))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) x) x)) |
(/ 1 (* (pow x 2) (pow (cbrt -1) 6))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) x) x)) |
(/ 1 (* (pow x 2) (pow (cbrt -1) 6))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) x) x)) |
(/ 1 (* (pow x 2) (pow (cbrt -1) 6))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) x) 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)) |
| 7 140× | lower-fma.f64 |
| 7 140× | lower-fma.f32 |
| 4 716× | lower-*.f32 |
| 4 714× | lower-*.f64 |
| 3 530× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 153 |
| 0 | 51 | 159 |
| 1 | 170 | 158 |
| 2 | 921 | 128 |
| 0 | 8456 | 117 |
| 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)) |
(pow.f64 x #s(literal 1/3 binary64)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) |
(pow.f64 x #s(literal 1/6 binary64)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) |
(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))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64)) |
(cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) |
(pow.f64 (cbrt.f64 x) #s(literal -6 binary64)) |
(cbrt.f64 (neg.f64 x)) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))) #s(literal -1/3 binary64)) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/6 binary64))) (pow.f64 (neg.f64 x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/3 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 x #s(literal -1/3 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 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/12 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 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 1/4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/12 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal -2/3 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64))) (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/3 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 (pow.f64 x #s(literal -1/3 binary64)) (cbrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 1/12 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal 1/12 binary64))))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 1/12 binary64))) (/.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (neg.f64 (pow.f64 x #s(literal -1/3 binary64))) (pow.f64 x #s(literal 1/12 binary64)))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (neg.f64 (pow.f64 x #s(literal -1/6 binary64))) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 1/12 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/12 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 3 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1/12 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/12 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (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 x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -2/3 binary64))) #s(literal -1/3 binary64)) |
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(*.f64 #s(literal -1 binary64) (neg.f64 (cbrt.f64 x))) |
(*.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) |
(pow.f64 (exp.f64 (log.f64 (neg.f64 x))) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 (neg.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 1/3 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64)) |
(pow.f64 x #s(literal 1/3 binary64)) |
(/.f64 (/.f64 #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 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal -1/3 binary64))) |
(/.f64 (cbrt.f64 (neg.f64 (*.f64 (*.f64 x x) x))) (pow.f64 x #s(literal 2/3 binary64))) |
(/.f64 (pow.f64 x #s(literal 2/3 binary64)) (cbrt.f64 x)) |
(/.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (cbrt.f64 x)) #s(literal -1 binary64)) |
(/.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))) |
(/.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/3 binary64))) |
(neg.f64 (neg.f64 (cbrt.f64 x))) |
(cbrt.f64 (neg.f64 x)) |
(cbrt.f64 x) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cbrt.f64 x))) |
(exp.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal 1/3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/6 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64))) |
Compiled 24 178 to 2 411 computations (90% saved)
71 alts after pruning (64 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 709 | 37 | 1 746 |
| Fresh | 8 | 27 | 35 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 718 | 71 | 1 789 |
| Status | Accuracy | Program |
|---|---|---|
| 7.8% | (fma.f64 (pow.f64 x #s(literal 1/12 binary64)) (*.f64 (pow.f64 x #s(literal 1/12 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) | |
| 8.5% | (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))) | |
| 8.5% | (/.f64 (+.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))))) | |
| 4.3% | (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)) | |
| 5.6% | (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) | |
| 6.4% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (*.f64 x x) #s(literal 1/6 binary64))) | |
| 7.8% | (-.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))) |
| ▶ | 5.3% | (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x))) |
| ✓ | 1.8% | (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
| 25.5% | #s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 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))) | |
| 20.3% | #s(approx (- (cbrt (+ x 1)) (pow (sqrt x) 2/3)) (*.f64 (fma.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (fma.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))))) x)) | |
| 25.5% | #s(approx (- (cbrt (+ x 1)) (pow x 1/3)) (/.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 (*.f64 (*.f64 (*.f64 x x) x) x)))) (*.f64 x x))) | |
| 25.7% | #s(approx (- (cbrt (+ x 1)) (pow x 1/3)) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #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))) | |
| 25.5% | #s(approx (- (cbrt (+ x 1)) (pow x 1/3)) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) | |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) | |
| ▶ | 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/12 binary64)))) |
| 96.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (cbrt.f64 x))) (cbrt.f64 x))) | |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1/6 binary64))))) | |
| ▶ | 97.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x))) |
| 89.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 7/12 binary64))) (pow.f64 x #s(literal 1/12 binary64)))) | |
| ✓ | 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x))) |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/6 binary64)))) (sqrt.f64 x))) | |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))) | |
| 92.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/6 binary64)))) (sqrt.f64 x))) | |
| 96.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))) | |
| ✓ | 96.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) #s(approx (pow x 1/6) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)))) (sqrt.f64 x))) | |
| 96.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (cbrt.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) (cbrt.f64 x)) #s(literal -1/2 binary64))) (cbrt.f64 x))) | |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 x))) | |
| 52.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (neg.f64 x) x)))) | |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 1/6 binary64)))) | |
| 92.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64))) (sqrt.f64 x))) | |
| 96.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (/ 1/3 (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) (cbrt.f64 x))) | |
| 89.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))) | |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) | |
| 89.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) | |
| 89.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) | |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (neg.f64 (sqrt.f64 x))))) | |
| 89.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) | |
| 48.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) | |
| 89.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64))) | |
| ▶ | 96.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) | |
| 89.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) | |
| 89.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/12 binary64)) (pow.f64 x #s(literal 7/12 binary64))) #s(literal 1/3 binary64))) | |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (sqrt.f64 x)) #s(literal 1/3 binary64))) | |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) #s(literal 1/3 binary64))) | |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64))) #s(literal 1/3 binary64))) | |
| 96.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)) #s(literal 1/3 binary64))) | |
| ✓ | 96.7% | #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))) |
| 52.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 (neg.f64 x) x))) #s(literal 1/3 binary64))) | |
| 89.0% | #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))) | |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/6 binary64)))) #s(literal 1/3 binary64))) | |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (neg.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64))) | |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)))) | |
| 84.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -1/3 binary64))) #s(literal 1/3 binary64))) | |
| ▶ | 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/3 binary64))) |
| 96.6% | #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))) | |
| 89.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)))) #s(literal 1/3 binary64))) | |
| 54.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 1/3 binary64))) | |
| 54.2% | #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 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
| 54.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal 1/3 binary64))) | |
| 54.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))) | |
| 35.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) x)) x)) #s(literal 1/3 binary64))) | |
| 25.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 x x))) #s(literal 1/3 binary64))) | |
| 54.2% | #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) (sqrt.f64 x)) x))) #s(literal 1/3 binary64))) | |
| 54.2% | #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))) | |
| 89.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)))) |
Compiled 1 750 to 1 185 computations (32.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/12 binary64)))) | |
| cost-diff | 384 | (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/12 binary64))) | |
| cost-diff | 7168 | (/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/12 binary64))) | |
| cost-diff | 0 | (cbrt.f64 x) | |
| cost-diff | 0 | (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (pow.f64 x #s(literal -1/6 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/3 binary64))) | |
| cost-diff | 320 | (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (cbrt.f64 (neg.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 (neg.f64 x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x))) | |
| cost-diff | 384 | (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x)) | |
| cost-diff | 5824 | (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) |
| 296× | lower-*.f32 |
| 290× | lower-*.f64 |
| 164× | lower-fma.f64 |
| 164× | lower-fma.f32 |
| 130× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 196 |
| 0 | 52 | 192 |
| 1 | 76 | 178 |
| 2 | 111 | 178 |
| 3 | 160 | 178 |
| 4 | 197 | 178 |
| 5 | 265 | 178 |
| 6 | 415 | 178 |
| 7 | 545 | 178 |
| 8 | 632 | 178 |
| 9 | 662 | 178 |
| 10 | 678 | 178 |
| 0 | 678 | 178 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) |
#s(literal 1/3 binary64) |
(pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) |
(cbrt.f64 x) |
x |
#s(literal 1/2 binary64) |
(sqrt.f64 x) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x))) |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(cbrt.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/3 binary64)) |
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(pow.f64 x #s(literal -1/6 binary64)) |
x |
#s(literal -1/6 binary64) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(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 (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(literal 1/3 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/12 binary64)))) |
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/12 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/12 binary64))) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
#s(literal 1/3 binary64) |
(sqrt.f64 x) |
x |
(pow.f64 x #s(literal 1/12 binary64)) |
#s(literal 1/12 binary64) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 (cbrt.f64 x))))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 (cbrt.f64 x)))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 (cbrt.f64 x))) |
#s(literal 1/3 binary64) |
(pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) |
(sqrt.f64 (cbrt.f64 x)) |
(cbrt.f64 x) |
x |
#s(literal 1/2 binary64) |
(sqrt.f64 x) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x))) |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(cbrt.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 (pow.f64 x #s(literal -1/6 binary64)) (sqrt.f64 x)) |
(pow.f64 x #s(literal -1/6 binary64)) |
x |
#s(literal -1/6 binary64) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(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 (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(literal 1/3 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/12 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/12 binary64))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/12 binary64))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 1/12 binary64)) (sqrt.f64 x))) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
#s(literal 1/3 binary64) |
(sqrt.f64 x) |
x |
(pow.f64 x #s(literal 1/12 binary64)) |
#s(literal 1/12 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.38509750976844204 | (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/12 binary64))) | |
| accuracy | 0.40462875976844204 | (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) | |
| accuracy | 1.1418989826667054 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/12 binary64)))) | |
| accuracy | 3.266395540213036 | (pow.f64 x #s(literal 1/12 binary64)) | |
| accuracy | 0.3671875 | (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) | |
| accuracy | 0.5169525390737681 | (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) | |
| accuracy | 0.5430451172213042 | (cbrt.f64 x) | |
| accuracy | 1.1418989826667054 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) | |
| accuracy | 0.3359375 | (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) | |
| accuracy | 0.3671875 | (*.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/3 binary64)) | |
| accuracy | 1.1418989826667054 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/3 binary64))) | |
| accuracy | 4.066038351486312 | (pow.f64 x #s(literal -1/6 binary64)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.01171875 | (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x))) | |
| accuracy | 0.5430451172213042 | (cbrt.f64 (neg.f64 x)) | |
| accuracy | 58.97685875472232 | #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) | |
| accuracy | 0.2890625 | (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x)) | |
| accuracy | 0.3671875 | (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) | |
| accuracy | 0.5430451172213042 | (cbrt.f64 x) | |
| accuracy | 1.1418989826667054 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x))) |
| 178.0ms | 197× | 1 | valid |
| 33.0ms | 52× | 2 | valid |
| 2.0ms | 7× | 0 | valid |
Compiled 153 to 30 computations (80.4% saved)
ival-pow: 57.0ms (31.7% of total)adjust: 41.0ms (22.8% of total)const: 22.0ms (12.2% of total)ival-div: 15.0ms (8.3% of total)ival-mult: 15.0ms (8.3% of total)ival-cbrt: 13.0ms (7.2% of total)ival-sub: 5.0ms (2.8% of total)ival-sqrt: 5.0ms (2.8% of total)ival-add: 3.0ms (1.7% of total)ival-neg: 1.0ms (0.6% 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 (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (patch (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x))) (patch (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.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 (neg.f64 x)) (patch (cbrt.f64 (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (patch (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal -1/6 binary64)) (patch (pow.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) (patch (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (patch (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/12 binary64))) (patch (/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/12 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/12 binary64))) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/12 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/12 binary64)))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/12 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (patch (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 1/12 binary64)) (patch (pow.f64 x #s(literal 1/12 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow (* 1 x) 1/6) (taylor 0 x) (#s(alt (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (patch (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (* 1 x) 1/6) (taylor 0 x) (#s(alt (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (patch (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (* 1 x) 1/6) (taylor 0 x) (#s(alt (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (patch (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (* 1 x) 1/6) (taylor 0 x) (#s(alt (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (patch (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x))) #<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 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x))) #<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 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/3 (pow (/ 1 x) 1/6)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 92.0ms | x | @ | inf | ((pow (cbrt x) 1/2) (/ (/ 1/3 (pow (cbrt x) 1/2)) (sqrt x)) (- (cbrt (+ x 1)) (cbrt x)) (/ 1/3 (pow (cbrt x) 1/2)) (- (cbrt (+ x 1)) (cbrt (neg x))) (cbrt (+ x 1)) (cbrt (neg x)) (neg x) (* (pow x -1/6) (/ 1 (sqrt x))) (- (cbrt (+ x 1)) (cbrt x)) (* (* (pow x -1/6) (/ 1 (sqrt x))) 1/3) (pow x -1/6) (- (cbrt (+ x 1)) (cbrt x)) (* (pow (cbrt x) -2) 1/3) (pow (cbrt x) -2) (cbrt x) (/ (/ (/ 1/3 (sqrt x)) (pow x 1/12)) (pow x 1/12)) (/ (/ 1/3 (sqrt x)) (pow x 1/12)) (- (cbrt (+ x 1)) (cbrt x)) (/ 1/3 (sqrt x)) (pow x 1/12)) |
| 72.0ms | x | @ | -inf | ((pow (cbrt x) 1/2) (/ (/ 1/3 (pow (cbrt x) 1/2)) (sqrt x)) (- (cbrt (+ x 1)) (cbrt x)) (/ 1/3 (pow (cbrt x) 1/2)) (- (cbrt (+ x 1)) (cbrt (neg x))) (cbrt (+ x 1)) (cbrt (neg x)) (neg x) (* (pow x -1/6) (/ 1 (sqrt x))) (- (cbrt (+ x 1)) (cbrt x)) (* (* (pow x -1/6) (/ 1 (sqrt x))) 1/3) (pow x -1/6) (- (cbrt (+ x 1)) (cbrt x)) (* (pow (cbrt x) -2) 1/3) (pow (cbrt x) -2) (cbrt x) (/ (/ (/ 1/3 (sqrt x)) (pow x 1/12)) (pow x 1/12)) (/ (/ 1/3 (sqrt x)) (pow x 1/12)) (- (cbrt (+ x 1)) (cbrt x)) (/ 1/3 (sqrt x)) (pow x 1/12)) |
| 61.0ms | x | @ | 0 | ((pow (cbrt x) 1/2) (/ (/ 1/3 (pow (cbrt x) 1/2)) (sqrt x)) (- (cbrt (+ x 1)) (cbrt x)) (/ 1/3 (pow (cbrt x) 1/2)) (- (cbrt (+ x 1)) (cbrt (neg x))) (cbrt (+ x 1)) (cbrt (neg x)) (neg x) (* (pow x -1/6) (/ 1 (sqrt x))) (- (cbrt (+ x 1)) (cbrt x)) (* (* (pow x -1/6) (/ 1 (sqrt x))) 1/3) (pow x -1/6) (- (cbrt (+ x 1)) (cbrt x)) (* (pow (cbrt x) -2) 1/3) (pow (cbrt x) -2) (cbrt x) (/ (/ (/ 1/3 (sqrt x)) (pow x 1/12)) (pow x 1/12)) (/ (/ 1/3 (sqrt x)) (pow x 1/12)) (- (cbrt (+ x 1)) (cbrt x)) (/ 1/3 (sqrt x)) (pow x 1/12)) |
| 1× | egg-herbie |
| 10 216× | lower-fma.f64 |
| 10 216× | lower-fma.f32 |
| 3 672× | lower-*.f64 |
| 3 672× | lower-*.f32 |
| 2 526× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 215 | 3093 |
| 1 | 531 | 2919 |
| 2 | 1575 | 2859 |
| 3 | 3951 | 2833 |
| 4 | 6961 | 2833 |
| 0 | 8049 | 2728 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(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)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* 1/3 (pow (/ 1 x) 1/6)) |
(* 1/3 (pow (/ 1 x) 1/6)) |
(* 1/3 (pow (/ 1 x) 1/6)) |
(* 1/3 (pow (/ 1 x) 1/6)) |
(- 1 (* (cbrt x) (cbrt -1))) |
(- (+ 1 (* 1/3 x)) (* (cbrt x) (cbrt -1))) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (* (cbrt x) (cbrt -1))) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (* (cbrt x) (cbrt -1))) |
1 |
(+ 1 (* 1/3 x)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(- 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)))) |
(pow (/ 1 x) 1/6) |
(pow (/ 1 x) 1/6) |
(pow (/ 1 x) 1/6) |
(pow (/ 1 x) 1/6) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(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 (pow (/ 1 (pow x 7)) 1/12)) |
(* 1/3 (pow (/ 1 (pow x 7)) 1/12)) |
(* 1/3 (pow (/ 1 (pow x 7)) 1/12)) |
(* 1/3 (pow (/ 1 (pow x 7)) 1/12)) |
(- 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 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(pow (* 1 x) 1/12) |
(pow (* 1 x) 1/12) |
(pow (* 1 x) 1/12) |
(pow (* 1 x) 1/12) |
(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)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(* 1/3 (pow (/ 1 x) 1/6)) |
(* 1/3 (pow (/ 1 x) 1/6)) |
(* 1/3 (pow (/ 1 x) 1/6)) |
(* 1/3 (pow (/ 1 x) 1/6)) |
(* x (- (cbrt (/ 1 (pow x 2))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))) |
(* x (- (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5))))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))) |
(* x (- (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))) |
(* 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 (/ 1 (pow x 2))) (cbrt -1)))) |
(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 -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(* 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)))) |
(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))) |
(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 (pow (/ 1 (pow x 7)) 1/12)) |
(* 1/3 (pow (/ 1 (pow x 7)) 1/12)) |
(* 1/3 (pow (/ 1 (pow x 7)) 1/12)) |
(* 1/3 (pow (/ 1 (pow x 7)) 1/12)) |
(* 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 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(pow (* 1 x) 1/12) |
(pow (* 1 x) 1/12) |
(pow (* 1 x) 1/12) |
(pow (* 1 x) 1/12) |
(* (pow (* -1 x) 1/6) (sqrt (cbrt -1))) |
(* (pow (* -1 x) 1/6) (sqrt (cbrt -1))) |
(* (pow (* -1 x) 1/6) (sqrt (cbrt -1))) |
(* (pow (* -1 x) 1/6) (sqrt (cbrt -1))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (* (sqrt (/ 1 (cbrt -1))) (/ 1 (sqrt -1))))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (* (sqrt (/ 1 (cbrt -1))) (/ 1 (sqrt -1))))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (* (sqrt (/ 1 (cbrt -1))) (/ 1 (sqrt -1))))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (* (sqrt (/ 1 (cbrt -1))) (/ 1 (sqrt -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 (* (pow (/ -1 x) 1/6) (sqrt (/ 1 (cbrt -1))))) |
(* 1/3 (* (pow (/ -1 x) 1/6) (sqrt (/ 1 (cbrt -1))))) |
(* 1/3 (* (pow (/ -1 x) 1/6) (sqrt (/ 1 (cbrt -1))))) |
(* 1/3 (* (pow (/ -1 x) 1/6) (sqrt (/ 1 (cbrt -1))))) |
(* -1 (* x (- (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (cbrt (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (cbrt (/ 1 (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)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* (pow -1 1/6) (* (cbrt (/ 1 (pow x 2))) (/ 1 (sqrt -1)))) |
(* (pow -1 1/6) (* (cbrt (/ 1 (pow x 2))) (/ 1 (sqrt -1)))) |
(* (pow -1 1/6) (* (cbrt (/ 1 (pow x 2))) (/ 1 (sqrt -1)))) |
(* (pow -1 1/6) (* (cbrt (/ 1 (pow x 2))) (/ 1 (sqrt -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 (* (pow -1 1/6) (* (cbrt (/ 1 (pow x 2))) (/ 1 (sqrt -1))))) |
(* 1/3 (* (pow -1 1/6) (* (cbrt (/ 1 (pow x 2))) (/ 1 (sqrt -1))))) |
(* 1/3 (* (pow -1 1/6) (* (cbrt (/ 1 (pow x 2))) (/ 1 (sqrt -1))))) |
(* 1/3 (* (pow -1 1/6) (* (cbrt (/ 1 (pow x 2))) (/ 1 (sqrt -1))))) |
(exp (* 1/6 (+ (log -1) (log (/ -1 x))))) |
(exp (* 1/6 (+ (log -1) (log (/ -1 x))))) |
(exp (* 1/6 (+ (log -1) (log (/ -1 x))))) |
(exp (* 1/6 (+ (log -1) (log (/ -1 x))))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* (cbrt (/ 1 (pow x 2))) (/ 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 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 (sqrt -1)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (sqrt -1)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (sqrt -1)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (sqrt -1)))) |
(* 1/3 (/ (exp (* 1/12 (+ (log -1) (* 7 (log (/ -1 x)))))) (sqrt -1))) |
(* 1/3 (/ (exp (* 1/12 (+ (log -1) (* 7 (log (/ -1 x)))))) (sqrt -1))) |
(* 1/3 (/ (exp (* 1/12 (+ (log -1) (* 7 (log (/ -1 x)))))) (sqrt -1))) |
(* 1/3 (/ (exp (* 1/12 (+ (log -1) (* 7 (log (/ -1 x)))))) (sqrt -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 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(exp (* 1/12 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(exp (* 1/12 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(exp (* 1/12 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(exp (* 1/12 (+ (log -1) (* -1 (log (/ -1 x)))))) |
| Outputs |
|---|
(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)) |
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(- (+ 1 (* 1/3 x)) (cbrt x)) |
(fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
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(pow (/ 1 x) 1/6) |
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(pow (/ 1 x) 1/6) |
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(pow (/ 1 x) 1/6) |
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(pow (/ 1 x) 1/6) |
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(cbrt x) |
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(cbrt x) |
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(cbrt x) |
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(cbrt x) |
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(- (+ 1 (* 1/3 x)) (cbrt x)) |
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(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64))) |
(* (pow -1 1/6) (* (cbrt (/ 1 (pow x 2))) (/ 1 (sqrt -1)))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64))) |
(* (pow -1 1/6) (* (cbrt (/ 1 (pow x 2))) (/ 1 (sqrt -1)))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)))) (*.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 (*.f64 (*.f64 (*.f64 x x) x) x)) (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 (/.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 x x) x))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) (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))))) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) x))) (*.f64 x x)) |
(* 1/3 (* (pow -1 1/6) (* (cbrt (/ 1 (pow x 2))) (/ 1 (sqrt -1))))) |
(*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64)))) |
(* 1/3 (* (pow -1 1/6) (* (cbrt (/ 1 (pow x 2))) (/ 1 (sqrt -1))))) |
(*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64)))) |
(* 1/3 (* (pow -1 1/6) (* (cbrt (/ 1 (pow x 2))) (/ 1 (sqrt -1))))) |
(*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64)))) |
(* 1/3 (* (pow -1 1/6) (* (cbrt (/ 1 (pow x 2))) (/ 1 (sqrt -1))))) |
(*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64)))) |
(exp (* 1/6 (+ (log -1) (log (/ -1 x))))) |
(pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)) |
(exp (* 1/6 (+ (log -1) (log (/ -1 x))))) |
(pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)) |
(exp (* 1/6 (+ (log -1) (log (/ -1 x))))) |
(pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)) |
(exp (* 1/6 (+ (log -1) (log (/ -1 x))))) |
(pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)))) (*.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 (*.f64 (*.f64 (*.f64 x x) x) x)) (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 (/.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 x x) x))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) (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))))) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) x))) (*.f64 x x)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 #s(literal -1 binary64))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 #s(literal -1 binary64))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 #s(literal -1 binary64))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 #s(literal -1 binary64))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (sqrt -1)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (sqrt -1)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (sqrt -1)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (sqrt -1)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* 1/3 (/ (exp (* 1/12 (+ (log -1) (* 7 (log (/ -1 x)))))) (sqrt -1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 7/12 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(* 1/3 (/ (exp (* 1/12 (+ (log -1) (* 7 (log (/ -1 x)))))) (sqrt -1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 7/12 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(* 1/3 (/ (exp (* 1/12 (+ (log -1) (* 7 (log (/ -1 x)))))) (sqrt -1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 7/12 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(* 1/3 (/ (exp (* 1/12 (+ (log -1) (* 7 (log (/ -1 x)))))) (sqrt -1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 7/12 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 #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 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)))) (*.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 (*.f64 (*.f64 (*.f64 x x) x) x)) (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 (/.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 x x) x))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) (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))))) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) x))) (*.f64 x x)) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(exp (* 1/12 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/12 binary64)) |
(exp (* 1/12 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/12 binary64)) |
(exp (* 1/12 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/12 binary64)) |
(exp (* 1/12 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/12 binary64)) |
| 5 394× | lower-fma.f64 |
| 5 394× | lower-fma.f32 |
| 4 538× | lower-*.f32 |
| 4 534× | lower-*.f64 |
| 3 586× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 169 |
| 0 | 52 | 158 |
| 1 | 180 | 135 |
| 2 | 979 | 131 |
| 0 | 8985 | 121 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x))) |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
(cbrt.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/3 binary64)) |
(pow.f64 x #s(literal -1/6 binary64)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (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) |
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/12 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/12 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/12 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) |
(pow.f64 x #s(literal 1/12 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/48 binary64))) (pow.f64 x #s(literal 1/48 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64))) |
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(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/24 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/24 binary64))) |
(exp.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/12 binary64))) |
Compiled 25 187 to 2 323 computations (90.8% saved)
69 alts after pruning (59 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 771 | 13 | 1 784 |
| Fresh | 13 | 46 | 59 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 786 | 69 | 1 855 |
| Status | Accuracy | Program |
|---|---|---|
| 7.8% | (fma.f64 (pow.f64 x #s(literal 1/12 binary64)) (*.f64 (pow.f64 x #s(literal 1/12 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) | |
| 8.5% | (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))) | |
| 8.5% | (/.f64 (+.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))))) | |
| 4.3% | (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)) | |
| 5.6% | (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) | |
| 6.4% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (*.f64 x x) #s(literal 1/6 binary64))) | |
| 7.8% | (-.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))) |
| ✓ | 5.3% | (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x))) |
| ✓ | 1.8% | (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
| 25.5% | #s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 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))) | |
| 20.3% | #s(approx (- (cbrt (+ x 1)) (pow (sqrt x) 2/3)) (*.f64 (fma.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (fma.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))))) x)) | |
| 25.5% | #s(approx (- (cbrt (+ x 1)) (pow x 1/3)) (/.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 (*.f64 (*.f64 (*.f64 x x) x) x)))) (*.f64 x x))) | |
| 25.7% | #s(approx (- (cbrt (+ x 1)) (pow x 1/3)) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #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))) | |
| 25.5% | #s(approx (- (cbrt (+ x 1)) (pow x 1/3)) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) | |
| 94.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 x #s(literal -1/8 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/24 binary64))))) | |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) | |
| 92.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/12 binary64))) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/12 binary64))))) | |
| 96.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (cbrt.f64 x))) (cbrt.f64 x))) | |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1/6 binary64))))) | |
| 51.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 x (cbrt.f64 (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 x))) | |
| 97.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/2 binary64))) (sqrt.f64 x))) | |
| ✓ | 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x))) |
| 97.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 x))) | |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))) | |
| 92.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/6 binary64)))) (sqrt.f64 x))) | |
| 96.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))) | |
| ✓ | 96.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
| 96.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (cbrt.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) (cbrt.f64 x)) #s(literal -1/2 binary64))) (cbrt.f64 x))) | |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 x))) | |
| 94.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/8 binary64))) (pow.f64 x #s(literal 1/24 binary64)))) | |
| 52.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (neg.f64 x) x)))) | |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 1/6 binary64)))) | |
| 96.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (/ 1/3 (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) (cbrt.f64 x))) | |
| 89.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))) | |
| 89.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) | |
| 89.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) | |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (neg.f64 (sqrt.f64 x))))) | |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -3 binary64)) (sqrt.f64 x)))) | |
| 50.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 x (cbrt.f64 (fma.f64 x x #s(literal 0 binary64)))) #s(literal -2 binary64)) #s(literal 1/3 binary64))) | |
| 89.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) | |
| 95.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) #s(literal -2 binary64)) #s(literal 1/3 binary64))) | |
| 48.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) | |
| 89.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64))) | |
| ✓ | 96.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
| 89.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -1/12 binary64)) (*.f64 (pow.f64 x #s(literal -7/12 binary64)) #s(literal 1/3 binary64)))) | |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) | |
| 89.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) | |
| 89.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/12 binary64)) (pow.f64 x #s(literal 7/12 binary64))) #s(literal 1/3 binary64))) | |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (sqrt.f64 x)) #s(literal 1/3 binary64))) | |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) #s(literal 1/3 binary64))) | |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64))) #s(literal 1/3 binary64))) | |
| 96.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)) #s(literal 1/3 binary64))) | |
| ✓ | 96.7% | #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))) |
| 89.0% | #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))) | |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/6 binary64)))) #s(literal 1/3 binary64))) | |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (neg.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64))) | |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)))) | |
| 84.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 7/6 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -1/3 binary64))) #s(literal 1/3 binary64))) | |
| 97.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/3 binary64))) | |
| ✓ | 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/3 binary64))) |
| 94.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/24 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/3 binary64))) | |
| 89.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64))) | |
| 54.2% | #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 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
| 35.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) x)) x)) #s(literal 1/3 binary64))) | |
| 25.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 x x))) #s(literal 1/3 binary64))) | |
| 54.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64))) |
Compiled 2 197 to 976 computations (55.6% saved)
| Inputs |
|---|
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #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 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (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 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.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 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (neg.f64 (sqrt.f64 x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -3 binary64)) (sqrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (neg.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/6 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 1/6 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1/6 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) x)) x)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/6 binary64)))) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 x x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) #s(approx (pow x 1/6) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)))) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (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 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) 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)) (cbrt.f64 x)) |
#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 (exp.f64 (neg.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (neg.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 x #s(literal -1/12 binary64)) (*.f64 (pow.f64 x #s(literal -7/12 binary64)) #s(literal 1/3 binary64)))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (*.f64 x x) #s(literal 1/6 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 (pow.f64 x #s(literal -1/12 binary64)) (pow.f64 x #s(literal 7/12 binary64))) #s(literal 1/3 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 (pow.f64 (/.f64 x (cbrt.f64 (fma.f64 x x #s(literal 0 binary64)))) #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (neg.f64 x) x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 7/12 binary64))) (pow.f64 x #s(literal 1/12 binary64)))) |
(-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (/ 1/3 (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) (cbrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)) (cbrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (cbrt.f64 x))) (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) (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64))) #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 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 x #s(literal -1/8 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/24 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/6 binary64)))) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/8 binary64))) (pow.f64 x #s(literal 1/24 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (pow x 1/3)) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/12 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 x (cbrt.f64 (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1/2 binary64))) (sqrt.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))) |
(-.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)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64)))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64)))) |
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64))) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal 1/3 binary64))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/24 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/12 binary64))) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/12 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/2 binary64))) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #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)) (pow x 1/3)) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #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))) |
(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x)) |
(-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) |
(-.f64 (cbrt.f64 (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 (pow.f64 x #s(literal 7/6 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -1/3 binary64))) #s(literal 1/3 binary64))) |
(fma.f64 (pow.f64 x #s(literal 1/12 binary64)) (*.f64 (pow.f64 x #s(literal 1/12 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (cbrt.f64 (fma.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) x)) (cbrt.f64 (*.f64 (sqrt.f64 x) x)) #s(literal 1 binary64))) (cbrt.f64 x)) |
(/.f64 (+.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))))) |
(-.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 x))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (cbrt.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) (cbrt.f64 x)) #s(literal -1/2 binary64))) (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 (*.f64 (*.f64 (*.f64 x x) x) x)) #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 (/.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 (*.f64 (*.f64 (*.f64 x x) x) x)))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (pow x 1/3)) (/.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 (*.f64 (*.f64 (*.f64 x x) x) x)))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (pow (sqrt x) 2/3)) (*.f64 (fma.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (fma.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))))) x)) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 x))) |
(/.f64 (+.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))))) |
2 calls:
| 33.0ms | x |
| 29.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 2 | x |
| 98.9% | 2 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #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 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (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 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.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 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (neg.f64 (sqrt.f64 x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -3 binary64)) (sqrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (neg.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/6 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 1/6 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1/6 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) x)) x)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/6 binary64)))) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 x x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) #s(approx (pow x 1/6) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)))) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (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 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) 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)) (cbrt.f64 x)) |
#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 (exp.f64 (neg.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (neg.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 x #s(literal -1/12 binary64)) (*.f64 (pow.f64 x #s(literal -7/12 binary64)) #s(literal 1/3 binary64)))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (*.f64 x x) #s(literal 1/6 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 (pow.f64 x #s(literal -1/12 binary64)) (pow.f64 x #s(literal 7/12 binary64))) #s(literal 1/3 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 (pow.f64 (/.f64 x (cbrt.f64 (fma.f64 x x #s(literal 0 binary64)))) #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (neg.f64 x) x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 7/12 binary64))) (pow.f64 x #s(literal 1/12 binary64)))) |
(-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (/ 1/3 (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) (cbrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)) (cbrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (cbrt.f64 x))) (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) (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64))) #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 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 x #s(literal -1/8 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/24 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/6 binary64)))) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/8 binary64))) (pow.f64 x #s(literal 1/24 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (pow x 1/3)) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/12 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 x (cbrt.f64 (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1/2 binary64))) (sqrt.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))) |
(-.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)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64)))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64)))) |
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64))) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal 1/3 binary64))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/24 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/12 binary64))) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/12 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) #s(literal 1/2 binary64))) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #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)) (pow x 1/3)) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #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))) |
(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x)) |
(-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) |
(-.f64 (cbrt.f64 (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 (pow.f64 x #s(literal 7/6 binary64)) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -1/3 binary64))) #s(literal 1/3 binary64))) |
(fma.f64 (pow.f64 x #s(literal 1/12 binary64)) (*.f64 (pow.f64 x #s(literal 1/12 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (cbrt.f64 (fma.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) x)) (cbrt.f64 (*.f64 (sqrt.f64 x) x)) #s(literal 1 binary64))) (cbrt.f64 x)) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 x))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))) |
2 calls:
| 32.0ms | x |
| 23.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 2 | x |
| 98.9% | 2 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #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 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (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 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.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 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (neg.f64 (sqrt.f64 x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -3 binary64)) (sqrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (neg.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/6 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 1/6 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1/6 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) x)) x)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/6 binary64)))) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 x x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) #s(approx (pow x 1/6) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)))) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (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 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) 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)) (cbrt.f64 x)) |
#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 (exp.f64 (neg.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (neg.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 x #s(literal -1/12 binary64)) (*.f64 (pow.f64 x #s(literal -7/12 binary64)) #s(literal 1/3 binary64)))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (*.f64 x x) #s(literal 1/6 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 (pow.f64 x #s(literal -1/12 binary64)) (pow.f64 x #s(literal 7/12 binary64))) #s(literal 1/3 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 (pow.f64 (/.f64 x (cbrt.f64 (fma.f64 x x #s(literal 0 binary64)))) #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (neg.f64 x) x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 7/12 binary64))) (pow.f64 x #s(literal 1/12 binary64)))) |
(-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 x)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (/ 1/3 (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) (cbrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)) (cbrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (cbrt.f64 x))) (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) (pow.f64 x #s(literal 5/9 binary64))) (pow.f64 x #s(literal 1/9 binary64))) #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 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 x #s(literal -1/8 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/24 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/6 binary64)))) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/8 binary64))) (pow.f64 x #s(literal 1/24 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (pow x 1/3)) (/.f64 (fma.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/12 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 x (cbrt.f64 (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1/2 binary64))) (sqrt.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))) |
(-.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)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64)))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2/9 binary64)) (pow.f64 x #s(literal 1/9 binary64)))) |
#s(approx (- (cbrt (+ (* (pow x 5/6) (pow x 1/6)) 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64))) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 x))) |
2 calls:
| 24.0ms | x |
| 20.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 1 | x |
| 97.3% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #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 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (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 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.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 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (neg.f64 (sqrt.f64 x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -3 binary64)) (sqrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (neg.f64 (sqrt.f64 x)))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/6 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 x)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 1/6 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1/6 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) x)) x)) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/3 binary64))) |
2 calls:
| 38.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.9% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 93.9% | 2 | x |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #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 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (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 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.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 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (neg.f64 (sqrt.f64 x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (sqrt.f64 x)) #s(literal 1/3 binary64))) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.9% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #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 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (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 binary64) (/.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (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) (pow.f64 x #s(literal 2/3 binary64)))) |
2 calls:
| 7.0ms | x |
| 4.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.0% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 92.4% | 2 | x |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #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 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64))) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.0% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #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:
| 3.0ms | x |
| 3.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.0% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 89.0% | 1 | x |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #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:
| 13.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.0% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 89.0% | 1 | x |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x))) |
| Outputs |
|---|
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x))) |
2 calls:
| 2.0ms | x |
| 1.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.3% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 5.3% | 1 | x |
Compiled 10 to 7 computations (30% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/3 binary64))) |
| 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 | x |
| 1.8% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 10 to 7 computations (30% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5.311449058353901e-10 |
Compiled 11 to 10 computations (9.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5.311449058353901e-10 |
Compiled 11 to 10 computations (9.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 6.457242611740382e+152 | 4.93399637058976e+154 |
| 11.0ms | 112× | 1 | valid |
Compiled 179 to 136 computations (24% saved)
adjust: 3.0ms (37.3% of total)ival-cbrt: 3.0ms (37.3% of total)ival-add: 1.0ms (12.4% of total)ival-sub: 1.0ms (12.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6.457242611740382e+152 | 4.93399637058976e+154 |
Compiled 165 to 122 computations (26.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6.457242611740382e+152 | 4.93399637058976e+154 |
Compiled 144 to 108 computations (25% saved)
| 1× | egg-herbie |
| 80× | distribute-lft-neg-in_binary64 |
| 56× | neg-mul-1_binary64 |
| 48× | neg-sub0_binary64 |
| 46× | sub-neg_binary64 |
| 42× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 278 |
| 1 | 104 | 278 |
| 2 | 128 | 278 |
| 3 | 167 | 278 |
| 4 | 195 | 278 |
| 5 | 230 | 278 |
| 6 | 259 | 278 |
| 7 | 284 | 278 |
| 8 | 296 | 278 |
| 9 | 307 | 278 |
| 10 | 317 | 278 |
| 11 | 335 | 278 |
| 12 | 362 | 278 |
| 13 | 365 | 278 |
| 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 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 x))) (/.f64 (+.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))))))) |
(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 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 x))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/3 binary64)))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (sqrt.f64 x)) #s(literal 1/3 binary64)))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (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))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (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 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 x))) (/.f64 (+.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 2/3 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))))))) |
(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 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (+.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))) (pow.f64 x #s(literal 2/3 binary64))))) |
(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 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 x))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (+.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 x #s(literal 2/3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 x))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/3 binary64)))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/6 binary64))) #s(literal 1/3 binary64)))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (sqrt.f64 x)) #s(literal 1/3 binary64)))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (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))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 (neg.f64 x))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
| 12 806× | lower-fma.f32 |
| 12 804× | lower-fma.f64 |
| 7 140× | lower-fma.f64 |
| 7 140× | lower-fma.f32 |
| 6 306× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 169 |
| 0 | 52 | 158 |
| 1 | 180 | 135 |
| 2 | 979 | 131 |
| 0 | 8985 | 121 |
| 0 | 33 | 153 |
| 0 | 51 | 159 |
| 1 | 170 | 158 |
| 2 | 921 | 128 |
| 0 | 8456 | 117 |
| 0 | 146 | 602 |
| 1 | 350 | 564 |
| 2 | 902 | 564 |
| 3 | 2613 | 561 |
| 4 | 5974 | 561 |
| 0 | 8120 | 528 |
| 0 | 6 | 16 |
| 0 | 10 | 16 |
| 1 | 43 | 16 |
| 2 | 282 | 16 |
| 3 | 3101 | 16 |
| 0 | 9092 | 16 |
| 0 | 34 | 134 |
| 0 | 56 | 105 |
| 1 | 178 | 97 |
| 2 | 997 | 97 |
| 0 | 8297 | 94 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 561 to 324 computations (42.2% saved)
Compiled 442 to 144 computations (67.4% saved)
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