
Time bar (total: 8.2s)
| 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)
| 921.0ms | 6 340× | 1 | valid |
| 306.0ms | 1 642× | 2 | valid |
| 44.0ms | 274× | 0 | valid |
ival-cbrt: 301.0ms (30.6% of total)adjust: 175.0ms (17.8% of total)ival-add: 172.0ms (17.5% of total)const: 161.0ms (16.4% of total)ival-sub: 100.0ms (10.2% of total)ival->: 27.0ms (2.7% of total)ival-<: 23.0ms (2.3% of total)ival-and: 13.0ms (1.3% of total)exact: 8.0ms (0.8% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 255 | 0 | - | 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 |
| 40.0ms | 388× | 1 | valid |
| 20.0ms | 108× | 2 | valid |
| 1.0ms | 16× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-cbrt: 18.0ms (44.3% of total)adjust: 10.0ms (24.6% of total)ival-add: 6.0ms (14.8% of total)ival-sub: 6.0ms (14.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 80× | lower-fma.f64 |
| 80× | lower-fma.f32 |
| 48× | lower-*.f64 |
| 48× | lower-*.f32 |
| 46× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 18 | 17 |
| 2 | 41 | 16 |
| 3 | 73 | 16 |
| 4 | 121 | 16 |
| 5 | 178 | 16 |
| 6 | 201 | 16 |
| 7 | 212 | 16 |
| 0 | 6 | 7 |
| 0 | 10 | 7 |
| 1 | 15 | 7 |
| 2 | 19 | 7 |
| 3 | 25 | 7 |
| 4 | 33 | 7 |
| 5 | 48 | 7 |
| 6 | 80 | 7 |
| 7 | 106 | 7 |
| 8 | 150 | 7 |
| 9 | 165 | 7 |
| 10 | 173 | 7 |
| 0 | 173 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Outputs |
|---|
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 6.5% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cbrt.f64 x) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 80× | lower-fma.f64 |
| 80× | lower-fma.f32 |
| 48× | lower-*.f64 |
| 48× | lower-*.f32 |
| 36× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 10 | 18 |
| 1 | 15 | 18 |
| 2 | 19 | 18 |
| 3 | 25 | 18 |
| 4 | 33 | 18 |
| 5 | 48 | 18 |
| 6 | 80 | 18 |
| 7 | 106 | 18 |
| 8 | 150 | 18 |
| 9 | 165 | 18 |
| 10 | 173 | 18 |
| 0 | 173 | 18 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(cbrt.f64 x) |
| Outputs |
|---|
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(cbrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
x |
#s(literal 1 binary64) |
(cbrt.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.46359257814753624 | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.4658775879159782 | (cbrt.f64 x) | |
| accuracy | 59.8409239142048 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 26.0ms | 194× | 1 | valid |
| 8.0ms | 54× | 2 | valid |
| 0.0ms | 8× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-cbrt: 8.0ms (41.7% of total)adjust: 5.0ms (26% of total)ival-add: 3.0ms (15.6% of total)ival-sub: 3.0ms (15.6% 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 | |
|---|---|---|---|---|
| 8.0ms | x | @ | -inf | ((- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (+ x 1) (cbrt x)) |
| 4.0ms | x | @ | inf | ((- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (+ x 1) (cbrt x)) |
| 2.0ms | x | @ | 0 | ((- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (+ x 1) (cbrt x)) |
| 1× | egg-herbie |
| 6 306× | lower-fma.f64 |
| 6 306× | lower-fma.f32 |
| 4 226× | lower-*.f64 |
| 4 226× | lower-*.f32 |
| 1 638× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 146 | 602 |
| 1 | 350 | 564 |
| 2 | 902 | 564 |
| 3 | 2613 | 561 |
| 4 | 5974 | 561 |
| 0 | 8120 | 528 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
1 |
(+ 1 (* 1/3 x)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(cbrt x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
| Outputs |
|---|
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/3 x)) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (*.f64 x x)) |
(cbrt x) |
(cbrt.f64 x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1/9 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) |
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) #s(literal 5/81 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1/9 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) #s(literal 5/81 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 10/243 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))) (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (*.f64 (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 16 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x)) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (fma.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64)))) x) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (neg.f64 x) (fma.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (*.f64 (/.f64 #s(literal -5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 7 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))))) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x)) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x)) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x)) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x)) |
| 5 430× | lower-fma.f64 |
| 5 430× | lower-fma.f32 |
| 2 846× | lower-*.f64 |
| 2 846× | lower-*.f32 |
| 2 158× | lower-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 10 | 16 |
| 1 | 43 | 16 |
| 2 | 282 | 16 |
| 3 | 3101 | 16 |
| 0 | 9092 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(cbrt.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 4/3 binary64))) (pow.f64 (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x x))) #s(literal 2 binary64)))) (-.f64 (-.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x x x)))) |
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (fma.f64 (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) x (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x x))) (-.f64 (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x x))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 4/3 binary64))))) |
(*.f64 (/.f64 (-.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (-.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (-.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) x) x)) (fma.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (-.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (neg.f64 (-.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x)) (pow.f64 (neg.f64 (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (pow.f64 (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (pow.f64 (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))) |
(pow.f64 (/.f64 (pow.f64 (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
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(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 (exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 x)))) |
(neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) |
(neg.f64 (-.f64 x #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)) (sqrt.f64 x) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)) (sqrt.f64 x) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 7 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (neg.f64 (cbrt.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (cbrt.f64 x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64))) #s(literal 1 binary64)) |
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 7 binary64))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 x) (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) |
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log1p.f64 x)) #s(literal 3/2 binary64))) |
(exp.f64 (log1p.f64 x)) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64)))) |
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/9 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 1/3 binary64)) |
(cbrt.f64 x) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2/3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/6 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (cbrt.f64 x))) |
Compiled 7 636 to 1 337 computations (82.5% saved)
28 alts after pruning (27 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 376 | 27 | 403 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 376 | 28 | 404 |
| Status | Accuracy | Program |
|---|---|---|
| 5.4% | (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) | |
| 5.0% | (-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x)) | |
| ▶ | 5.1% | (-.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 x)) |
| 5.9% | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (exp.f64 (neg.f64 (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)) | |
| 4.7% | (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x)) | |
| 6.6% | (-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| 6.5% | (-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| 7.6% | (-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| 6.3% | (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| 5.6% | (-.f64 (cbrt.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| 4.5% | (-.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 x))) (cbrt.f64 x)) | |
| 6.0% | (-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 x))))) (cbrt.f64 x)) | |
| ▶ | 7.6% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
| 7.6% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) | |
| ▶ | 6.7% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) |
| 7.6% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| 5.7% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x)))) | |
| 6.9% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/6 binary64)))) | |
| ✓ | 6.5% | (-.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)))) | |
| 25.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x))) | |
| 25.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) | |
| 26.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (*.f64 x x))) | |
| ▶ | 53.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
Compiled 667 to 530 computations (20.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) | |
| cost-diff | 0 | (-.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 x)) | |
| cost-diff | 320 | (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 320 | (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) | |
| cost-diff | 6528 | (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (cbrt.f64 x) | |
| cost-diff | 0 | #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) x) x) | |
| cost-diff | 0 | (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) | |
| cost-diff | 0 | (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
| 13 848× | lower-fma.f64 |
| 13 848× | lower-fma.f32 |
| 3 718× | lower-*.f32 |
| 3 710× | lower-*.f64 |
| 2 238× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 223 |
| 0 | 62 | 210 |
| 1 | 92 | 202 |
| 2 | 153 | 199 |
| 3 | 262 | 199 |
| 4 | 451 | 199 |
| 5 | 1021 | 199 |
| 6 | 2003 | 199 |
| 7 | 3363 | 199 |
| 8 | 4993 | 199 |
| 9 | 6210 | 199 |
| 10 | 6865 | 199 |
| 11 | 7108 | 199 |
| 12 | 7211 | 199 |
| 13 | 7216 | 199 |
| 14 | 7532 | 199 |
| 0 | 8101 | 195 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 1/3 binary64) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(cbrt.f64 x) |
x |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 2 binary64) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) |
(exp.f64 #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(log.f64 x) |
(-.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 x)) |
(/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) |
(cbrt.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 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) |
(*.f64 x x) |
x |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) |
(cbrt.f64 (-.f64 x #s(literal 1 binary64))) |
#s(literal 2 binary64) |
(cbrt.f64 x) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 1/3 binary64) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(cbrt.f64 x) |
x |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (cbrt.f64 x)) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(cbrt.f64 (-.f64 x #s(literal -1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal 1 binary64) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(cbrt.f64 x) |
(pow.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 2 binary64) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) |
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(cbrt.f64 (-.f64 x #s(literal -1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal 1 binary64) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) |
(exp.f64 #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(log.f64 x) |
(-.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 x)) |
(-.f64 (/.f64 (cbrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 x)) |
(/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) |
(/.f64 (cbrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) |
(cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(cbrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 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 x x) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) x) |
(*.f64 x x) |
x |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 x #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) |
(cbrt.f64 (-.f64 x #s(literal 1 binary64))) |
#s(literal 2 binary64) |
(cbrt.f64 x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.4658775879159782 | (cbrt.f64 x) | |
| accuracy | 0.5358200195368841 | (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) | |
| accuracy | 38.27922585068428 | (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| accuracy | 59.8409239142048 | (-.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 x)) | |
| accuracy | 0 | (exp.f64 #s(literal 1/3 binary64)) | |
| accuracy | 0.46359257814753624 | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 4.245051176756917 | (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) | |
| accuracy | 59.8409239142048 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) | |
| accuracy | 0.46359257814753624 | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.5364837890737681 | (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) | |
| accuracy | 4.078704431743695 | (pow.f64 x #s(literal 1/6 binary64)) | |
| accuracy | 59.8409239142048 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) | |
| accuracy | 0.4658775879159782 | (cbrt.f64 x) | |
| accuracy | 58.97839876323143 | #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) | |
| accuracy | 59.8409239142048 | (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) | |
| accuracy | 0.14453125 | (/.f64 (/.f64 #s(literal 1 binary64) x) x) | |
| accuracy | 0.40234375 | (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) | |
| accuracy | 1.0263334593831523 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) | |
| accuracy | 28.900324944092812 | (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
| 146.0ms | 194× | 1 | valid |
| 74.0ms | 54× | 2 | valid |
| 2.0ms | 8× | 0 | valid |
Compiled 212 to 32 computations (84.9% saved)
ival-pow: 45.0ms (24.5% of total)const: 23.0ms (12.5% of total)adjust: 20.0ms (10.9% of total)ival-cbrt: 19.0ms (10.3% of total)ival-sub: 17.0ms (9.2% of total)ival-pow2: 13.0ms (7.1% of total)ival-mult: 13.0ms (7.1% of total)ival-exp: 12.0ms (6.5% of total)ival-log: 12.0ms (6.5% of total)ival-div: 7.0ms (3.8% of total)ival-add: 4.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (patch (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (patch (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ()) |
#s(alt (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) (patch (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (patch (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 x)) (patch (-.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (patch (/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 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 (exp.f64 #s(literal 1/3 binary64)) (patch (exp.f64 #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (patch (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (patch (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (patch (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (patch (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (/ (pow (cbrt -1) 2) (pow x 3)) (cbrt (/ 1 (pow (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) 5))))) (* 1/3 (* (pow (cbrt -1) 2) (cbrt (/ 1 (pow (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) 2)))))) (pow x 3))) (* (pow (cbrt -1) 2) (cbrt (- (* 2 (/ 1 (pow x 2))) (/ 1 x))))))) (taylor -inf x) (#s(alt (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (pow (cbrt -1) 2) (cbrt (/ 1 (pow (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) 5))))) (* -5/81 (* (/ (pow (cbrt -1) 2) (pow x 3)) (cbrt (/ 1 (pow (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) 8)))))) (pow x 3))) (* 1/3 (* (pow (cbrt -1) 2) (cbrt (/ 1 (pow (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) 2)))))) (pow x 3))) (* (pow (cbrt -1) 2) (cbrt (- (* 2 (/ 1 (pow x 2))) (/ 1 x))))))) (taylor -inf x) (#s(alt (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 334.0ms | x | @ | inf | ((- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (/ (/ 1 x) x)) 1/3) (cbrt (/ (/ 1 x) x)) (/ (/ 1 x) x) (- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (cbrt x) (pow (pow x 1/6) 2) (- (cbrt (+ x 1)) (pow (pow x 1/6) 2)) (cbrt (+ x 1)) (+ x 1) (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (pow (exp 1/3) (log x)) (- (* (* x x) (- x 1)) (* (- x 1) 1)) (* (- x 1) 1) (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (pow x 1/6) (exp 1/3) (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) |
| 69.0ms | x | @ | 0 | ((- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (/ (/ 1 x) x)) 1/3) (cbrt (/ (/ 1 x) x)) (/ (/ 1 x) x) (- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (cbrt x) (pow (pow x 1/6) 2) (- (cbrt (+ x 1)) (pow (pow x 1/6) 2)) (cbrt (+ x 1)) (+ x 1) (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (pow (exp 1/3) (log x)) (- (* (* x x) (- x 1)) (* (- x 1) 1)) (* (- x 1) 1) (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (pow x 1/6) (exp 1/3) (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) |
| 36.0ms | x | @ | -inf | ((- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (/ (/ 1 x) x)) 1/3) (cbrt (/ (/ 1 x) x)) (/ (/ 1 x) x) (- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (cbrt x) (pow (pow x 1/6) 2) (- (cbrt (+ x 1)) (pow (pow x 1/6) 2)) (cbrt (+ x 1)) (+ x 1) (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (pow (exp 1/3) (log x)) (- (* (* x x) (- x 1)) (* (- x 1) 1)) (* (- x 1) 1) (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (pow x 1/6) (exp 1/3) (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) |
| 1× | egg-herbie |
| 9 152× | lower-fma.f64 |
| 9 152× | lower-fma.f32 |
| 6 666× | lower-*.f64 |
| 6 666× | lower-*.f32 |
| 3 430× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 431 | 3364 |
| 1 | 1189 | 3182 |
| 2 | 4292 | 3158 |
| 0 | 8211 | 3014 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
1 |
(+ 1 (* 1/3 x)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
1 |
(+ 1 (* 1/3 x)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
(- 1 (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 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* -1 x) 1))) |
(+ 1 (* x (- (* x (- x 1)) 1))) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
1 |
(+ 1 (* 1/3 x)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
1 |
(+ 1 (* -1/3 x)) |
(+ 1 (* x (- (* -4/9 x) 1/3))) |
(+ 1 (* x (- (* x (- (* 4/81 x) 4/9)) 1/3))) |
1 |
(+ 1 (* -2/3 x)) |
(+ 1 (* x (- (* -1/9 x) 2/3))) |
(+ 1 (* x (- (* x (- (* -4/81 x) 1/9)) 2/3))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(cbrt x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(cbrt x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(cbrt x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2)))))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(pow x 3) |
(* (pow x 3) (- 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x)))) |
(* (pow x 3) (- (+ 1 (/ 1 (pow x 3))) (+ (/ 1 x) (/ 1 (pow x 2))))) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(cbrt x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
(pow (* 1 x) 1/6) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(* x (+ 1 (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)))) |
(* x (- (+ 1 (* 4/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
(* x (cbrt (- (/ 1 x) (* 2 (/ 1 (pow x 2)))))) |
(* x (+ (cbrt (- (/ 1 x) (* 2 (/ 1 (pow x 2))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))) |
(* x (+ (cbrt (- (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (- (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))) |
(* x (+ (cbrt (- (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (- (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/81 (* (/ 1 (pow x 9)) (cbrt (/ 1 (pow (- (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) |
(* -1 (* x (+ (* -1 (/ (- (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (- (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))) (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow x 3) |
(* -1 (* (pow x 3) (- (/ 1 x) 1))) |
(* -1 (* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 x)) x)) 1) x)) 1))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 4)))) (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 7)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 4))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 7)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 10))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 4))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* (cbrt x) (/ 1 (cbrt -1)))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 4)))) (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 7)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 4))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 7)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 10))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 4))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))))) |
(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 (* x (cbrt -1))) |
(* -1 (* x (+ (cbrt -1) (* 1/3 (* (/ 1 x) (cbrt (/ 1 (pow (cbrt -1) 2)))))))) |
(* -1 (* x (+ (cbrt -1) (* -1 (/ (+ (* -1/3 (cbrt (/ 1 (pow (cbrt -1) 2)))) (* -1/3 (/ (- 1 (* 1/3 (cbrt (/ 1 (cbrt -1))))) (* x (pow (cbrt -1) 2))))) x))))) |
(* -1 (* x (+ (cbrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (- (+ 1 (* 1/27 (/ 1 (pow (cbrt -1) 2)))) (* -2/3 (* (cbrt (/ 1 (pow (cbrt -1) 5))) (- 1 (* 1/3 (cbrt (/ 1 (cbrt -1)))))))) (* x (pow (cbrt -1) 2)))) (* 1/3 (/ (- 1 (* 1/3 (cbrt (/ 1 (cbrt -1))))) (pow (cbrt -1) 2)))) x)) (* -1/3 (cbrt (/ 1 (pow (cbrt -1) 2))))) x))))) |
(* -1 (* (* x (pow (cbrt -1) 2)) (cbrt (- (* 2 (/ 1 (pow x 2))) (/ 1 x))))) |
(* -1 (* x (+ (* -1/3 (* (/ (pow (cbrt -1) 2) (pow x 3)) (cbrt (/ 1 (pow (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) 2))))) (* (pow (cbrt -1) 2) (cbrt (- (* 2 (/ 1 (pow x 2))) (/ 1 x))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (/ (pow (cbrt -1) 2) (pow x 3)) (cbrt (/ 1 (pow (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) 5))))) (* 1/3 (* (pow (cbrt -1) 2) (cbrt (/ 1 (pow (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) 2)))))) (pow x 3))) (* (pow (cbrt -1) 2) (cbrt (- (* 2 (/ 1 (pow x 2))) (/ 1 x))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (pow (cbrt -1) 2) (cbrt (/ 1 (pow (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) 5))))) (* -5/81 (* (/ (pow (cbrt -1) 2) (pow x 3)) (cbrt (/ 1 (pow (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) 8)))))) (pow x 3))) (* 1/3 (* (pow (cbrt -1) 2) (cbrt (/ 1 (pow (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) 2)))))) (pow x 3))) (* (pow (cbrt -1) 2) (cbrt (- (* 2 (/ 1 (pow x 2))) (/ 1 x))))))) |
| Outputs |
|---|
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/3 x)) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/3 x)) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(- 1 (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 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* -1 x) 1))) |
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (- x 1)) 1))) |
(fma.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- 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)) |
(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 |
#s(literal 1 binary64) |
(+ 1 (* -1/3 x)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -4/9 x) 1/3))) |
(fma.f64 (fma.f64 #s(literal -4/9 binary64) x #s(literal -1/3 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (- (* 4/81 x) 4/9)) 1/3))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 4/81 binary64) x #s(literal -4/9 binary64)) x #s(literal -1/3 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2/3 x)) |
(fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -1/9 x) 2/3))) |
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal -2/3 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (- (* -4/81 x) 1/9)) 2/3))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/81 binary64) x #s(literal -1/9 binary64)) x #s(literal -2/3 binary64)) x #s(literal 1 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)) |
(/.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)) |
(* 1/3 (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)) |
(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 (+.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) (*.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) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.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)) |
(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))))))) |
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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))) |
(+.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) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2)))))) |
#s(literal 0 binary64) |
(* 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) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (- 1 (/ 1 x))) |
(*.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x)))) |
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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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(* 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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(/ (+ (* -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) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
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(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)) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) x) x x) |
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(fma.f64 (fma.f64 (/.f64 #s(literal 4/9 binary64) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64) x) |
(* x (- (+ 1 (* 4/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
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(* x (cbrt (- (/ 1 x) (* 2 (/ 1 (pow x 2)))))) |
(*.f64 (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) x) |
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(* x (+ (cbrt (- (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (- (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2)))))))) |
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(* x (+ (cbrt (- (/ 1 x) (* 2 (/ 1 (pow x 2))))) (+ (* -1/9 (* (/ 1 (pow x 6)) (cbrt (/ 1 (pow (- (/ 1 x) (* 2 (/ 1 (pow x 2)))) 5))))) (+ (* 5/81 (* (/ 1 (pow x 9)) (cbrt (/ 1 (pow (- (/ 1 x) (* 2 (/ 1 (pow x 2)))) 8))))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (- (/ 1 x) (* 2 (/ 1 (pow x 2)))) 2))))))))) |
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(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal -1/9 binary64) (*.f64 (/.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))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal -1/9 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) #s(literal 5/81 binary64) (*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))) #s(literal 10/243 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (*.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)) |
(/.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)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal -1/9 binary64) (*.f64 (/.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))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
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(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x)) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (fma.f64 (/.f64 (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) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 x)) |
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(* -1 (* x (+ (cbrt -1) (* -1 (/ (+ (* -1/3 (cbrt (/ 1 (pow (cbrt -1) 2)))) (* -1/3 (/ (- 1 (* 1/3 (cbrt (/ 1 (cbrt -1))))) (* x (pow (cbrt -1) 2))))) x))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64)))) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal -1/3 binary64) x) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) x) |
(* -1 (* x (+ (cbrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (- (+ 1 (* 1/27 (/ 1 (pow (cbrt -1) 2)))) (* -2/3 (* (cbrt (/ 1 (pow (cbrt -1) 5))) (- 1 (* 1/3 (cbrt (/ 1 (cbrt -1)))))))) (* x (pow (cbrt -1) 2)))) (* 1/3 (/ (- 1 (* 1/3 (cbrt (/ 1 (cbrt -1))))) (pow (cbrt -1) 2)))) x)) (* -1/3 (cbrt (/ 1 (pow (cbrt -1) 2))))) x))))) |
(*.f64 (-.f64 (cbrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (fma.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) #s(literal 2/3 binary64)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64)))) #s(literal -1/3 binary64) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64)))) #s(literal -1/3 binary64) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (neg.f64 x))) x)) (neg.f64 x)) |
(* -1 (* (* x (pow (cbrt -1) 2)) (cbrt (- (* 2 (/ 1 (pow x 2))) (/ 1 x))))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (neg.f64 x)) (cbrt.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
(* -1 (* x (+ (* -1/3 (* (/ (pow (cbrt -1) 2) (pow x 3)) (cbrt (/ 1 (pow (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) 2))))) (* (pow (cbrt -1) 2) (cbrt (- (* 2 (/ 1 (pow x 2))) (/ 1 x))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (/ (pow (cbrt -1) 2) (pow x 3)) (cbrt (/ 1 (pow (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) 5))))) (* 1/3 (* (pow (cbrt -1) 2) (cbrt (/ 1 (pow (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) 2)))))) (pow x 3))) (* (pow (cbrt -1) 2) (cbrt (- (* 2 (/ 1 (pow x 2))) (/ 1 x))))))) |
(*.f64 (fma.f64 (cbrt.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (pow (cbrt -1) 2) (cbrt (/ 1 (pow (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) 5))))) (* -5/81 (* (/ (pow (cbrt -1) 2) (pow x 3)) (cbrt (/ 1 (pow (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) 8)))))) (pow x 3))) (* 1/3 (* (pow (cbrt -1) 2) (cbrt (/ 1 (pow (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) 2)))))) (pow x 3))) (* (pow (cbrt -1) 2) (cbrt (- (* 2 (/ 1 (pow x 2))) (/ 1 x))))))) |
(*.f64 (fma.f64 (cbrt.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/9 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal -5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 8 binary64)))))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x)) |
| 5 866× | lower-fma.f64 |
| 5 866× | lower-fma.f32 |
| 3 730× | lower-*.f32 |
| 3 722× | lower-*.f64 |
| 3 472× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 177 |
| 0 | 62 | 125 |
| 1 | 217 | 113 |
| 2 | 1455 | 113 |
| 0 | 8406 | 107 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
(cbrt.f64 x) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) |
(-.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)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 x)) |
(/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) |
(pow.f64 x #s(literal 1/6 binary64)) |
(exp.f64 #s(literal 1/3 binary64)) |
(cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/12 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/12 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/12 binary64)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/12 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))) (neg.f64 (cbrt.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))) (neg.f64 (cbrt.f64 x))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) (cbrt.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/12 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/12 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 1/3 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/6 binary64)) |
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (neg.f64 (log.f64 x))) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 x))) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -4 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2/3 binary64)) |
(pow.f64 x #s(literal -2/3 binary64)) |
(/.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (cbrt.f64 x)))) |
(/.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 (cbrt.f64 (neg.f64 x)))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) |
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (neg.f64 (*.f64 x x)))) |
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (cbrt.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (cbrt.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(cbrt.f64 (pow.f64 x #s(literal -2 binary64))) |
(exp.f64 (neg.f64 (fma.f64 (log.f64 x) #s(literal 1/3 binary64) (log.f64 (cbrt.f64 x))))) |
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 x)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x)) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (cbrt.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (cbrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(pow.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64))) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -12 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -6 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (neg.f64 (neg.f64 x)))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x)))))) |
(/.f64 (cbrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) |
(/.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x))))))) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) |
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))))) |
(cbrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/3 binary64)) (*.f64 (log.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))) |
(exp.f64 (+.f64 (neg.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))) (*.f64 (log.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/3 binary64) (neg.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 1/12 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/12 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (/.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (/.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/12 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/6 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (/.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (/.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) |
(pow.f64 x #s(literal 1/6 binary64)) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/12 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/12 binary64))) |
(exp.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/6 binary64))) |
(exp.f64 #s(literal 1/3 binary64)) |
(*.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/6 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)))) |
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)))) (pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1/3 binary64)) |
(pow.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/6 binary64)) |
(pow.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/3 binary64)) |
(/.f64 (neg.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))) (neg.f64 (cbrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))))) |
(/.f64 (cbrt.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))) (cbrt.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))) |
(/.f64 (cbrt.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))))) (cbrt.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))))) |
(/.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (-.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) |
(/.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)))) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))))) |
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)))) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)))))) |
(cbrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2/3 binary64)) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 2/3 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2/3 binary64)) (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64)) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) |
(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2/3 binary64)) |
(/.f64 (cbrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (cbrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64)))) |
(/.f64 (cbrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (cbrt.f64 (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) |
(/.f64 (cbrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(cbrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64) (log.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64)))))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))) |
Compiled 33 430 to 3 928 computations (88.3% saved)
35 alts after pruning (33 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 414 | 30 | 1 444 |
| Fresh | 19 | 3 | 22 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 437 | 35 | 1 472 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 5.4% | (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) |
| 8.2% | (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))))) | |
| 6.3% | (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) | |
| 4.0% | (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)) | |
| 5.6% | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) (cbrt.f64 x)) | |
| 6.3% | (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| ▶ | 7.6% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) |
| ✓ | 6.5% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 25.9% | #s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (/.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))) | |
| 25.7% | #s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (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))) | |
| 26.0% | #s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (*.f64 x x))) | |
| 9.0% | #s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 10 binary64))) #s(literal -5/81 binary64) (*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64))) #s(literal -1/9 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x))) | |
| 25.3% | #s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x))) | |
| 52.0% | #s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) | |
| 23.7% | #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64))) x)) | |
| 5.3% | #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) | |
| ▶ | 4.1% | #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) |
| 96.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) | |
| 96.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64))) | |
| 48.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) | |
| 90.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 1/3 binary64))) | |
| ▶ | 97.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
| 89.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) | |
| 93.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/12 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))))) | |
| 96.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) | |
| 96.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) | |
| 52.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) | |
| 96.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) | |
| 89.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) | |
| ▶ | 52.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64))) |
| 53.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) | |
| ✓ | 53.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
| 53.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) | |
| 53.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) | |
| 50.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))) |
Compiled 938 to 740 computations (21.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (cbrt.f64 (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) | |
| cost-diff | 6080 | (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) | |
| 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 | (+.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 x #s(literal 1/3 binary64))) | |
| cost-diff | 64 | (pow.f64 x #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) | |
| cost-diff | 0 | (cbrt.f64 x) | |
| cost-diff | 0 | (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) | |
| cost-diff | 0 | (*.f64 (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))) |
| 25 672× | lower-fma.f32 |
| 25 668× | lower-fma.f64 |
| 3 784× | lower-*.f32 |
| 3 780× | lower-*.f64 |
| 2 742× | lower-+.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 144 |
| 0 | 55 | 142 |
| 1 | 73 | 142 |
| 2 | 97 | 140 |
| 3 | 147 | 140 |
| 4 | 243 | 140 |
| 5 | 392 | 140 |
| 6 | 731 | 140 |
| 7 | 2408 | 140 |
| 8 | 3542 | 140 |
| 9 | 4756 | 140 |
| 10 | 5475 | 140 |
| 11 | 5762 | 140 |
| 12 | 5915 | 140 |
| 13 | 5991 | 140 |
| 14 | 6091 | 140 |
| 15 | 7185 | 140 |
| 16 | 7938 | 140 |
| 0 | 8006 | 140 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(pow.f64 x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
#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) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) |
(pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(cbrt.f64 (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
(cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
(neg.f64 (cbrt.f64 x)) |
(cbrt.f64 x) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(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)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) |
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (cbrt.f64 x)) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(cbrt.f64 (-.f64 x #s(literal -1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal 1 binary64) |
(pow.f64 x #s(literal 1/3 binary64)) |
(cbrt.f64 x) |
#s(literal 1/3 binary64) |
#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) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) |
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) (cbrt.f64 x)) |
(pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(cbrt.f64 (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
(cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
(neg.f64 (cbrt.f64 x)) |
(cbrt.f64 x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.45968632814753624 | (cbrt.f64 (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.4658775879159782 | (cbrt.f64 x) | |
| accuracy | 29.496646860580338 | (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) | |
| accuracy | 59.99992086329508 | (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) | |
| accuracy | 0.4658775879159782 | (cbrt.f64 x) | |
| accuracy | 0.6253254999987398 | (pow.f64 (cbrt.f64 x) #s(literal -6 binary64)) | |
| accuracy | 1.0263334593831523 | #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 | 28.900324944092812 | (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) | |
| accuracy | 0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.46359257814753624 | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 5.024597393327132 | (pow.f64 x #s(literal 1/3 binary64)) | |
| accuracy | 59.8409239142048 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| accuracy | 61.344446300171704 | #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) | |
| accuracy | 0.40234375 | (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) | |
| accuracy | 0.4658775879159782 | (cbrt.f64 x) | |
| accuracy | 0.5199013183790943 | (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) | |
| accuracy | 1.0263334593831523 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
| 145.0ms | 194× | 1 | valid |
| 123.0ms | 54× | 2 | valid |
| 2.0ms | 8× | 0 | valid |
Compiled 133 to 31 computations (76.7% saved)
ival-pow: 58.0ms (30.1% of total)ival-cbrt: 27.0ms (14% of total)ival-add: 23.0ms (11.9% of total)adjust: 20.0ms (10.4% of total)ival-log: 15.0ms (7.8% of total)const: 13.0ms (6.7% of total)ival-exp: 13.0ms (6.7% of total)ival-mult: 13.0ms (6.7% of total)ival-sub: 8.0ms (4.2% of total)ival-neg: 2.0ms (1% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (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 #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) (patch #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 1/3 binary64)) (patch (pow.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 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 #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 (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) (patch (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 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 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (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 (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#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 (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#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 (- (+ 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 (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 (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#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 (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#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 (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#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 (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#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 (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (patch (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (patch (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (patch (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (patch (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) (patch #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) (patch #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) (patch #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 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)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) (patch #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 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 (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 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) (patch (-.f64 (cbrt.f64 (+.f64 x #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 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) (patch (-.f64 (cbrt.f64 (+.f64 x #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 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) (patch (-.f64 (cbrt.f64 (+.f64 x #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 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) (patch (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/3 x)) (taylor 0 x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1/3 (* -1/9 x)))) (taylor 0 x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (taylor 0 x) (#s(alt (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (patch (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#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 (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#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 (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#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 (- (+ 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 (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 (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#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 (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#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 (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#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 (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#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 (/ 1 (pow x 2))) (taylor 0 x) (#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 (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#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 (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#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 (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#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 (/ 1 (pow x 2)) (taylor 0 x) (#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 (/ 1 (pow x 2)) (taylor 0 x) (#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 (/ 1 (pow x 2)) (taylor 0 x) (#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 (/ 1 (pow x 2)) (taylor 0 x) (#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 (- 1 (cbrt x)) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) (patch (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) (patch (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) (patch (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) (patch (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (cbrt -1) (taylor 0 x) (#s(alt (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cbrt -1) (* -1/3 (* x (cbrt (/ 1 (pow (cbrt -1) 2)))))) (taylor 0 x) (#s(alt (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cbrt -1) (* x (+ (* -1/3 (cbrt (/ 1 (pow (cbrt -1) 2)))) (* -1/3 (/ (* x (+ 1 (* 1/3 (cbrt (/ 1 (cbrt -1)))))) (pow (cbrt -1) 2)))))) (taylor 0 x) (#s(alt (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cbrt -1) (* x (+ (* -1/3 (cbrt (/ 1 (pow (cbrt -1) 2)))) (* x (+ (* -1/3 (/ (+ 1 (* 1/3 (cbrt (/ 1 (cbrt -1))))) (pow (cbrt -1) 2))) (* 1/3 (/ (* x (- (* 1/27 (/ 1 (pow (cbrt -1) 2))) (+ 1 (* 2/3 (* (cbrt (/ 1 (pow (cbrt -1) 5))) (+ 1 (* 1/3 (cbrt (/ 1 (cbrt -1)))))))))) (pow (cbrt -1) 2)))))))) (taylor 0 x) (#s(alt (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt -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 (+ (cbrt -1) (* 1/3 (* x (cbrt (/ 1 (pow (cbrt -1) 2)))))) (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 (+ (cbrt -1) (* x (+ (* -1/9 (* x (cbrt (/ 1 (pow (cbrt -1) 7))))) (* 1/3 (cbrt (/ 1 (pow (cbrt -1) 2))))))) (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 (+ (cbrt -1) (* x (+ (* 1/3 (cbrt (/ 1 (pow (cbrt -1) 2)))) (* x (+ (* -1/9 (cbrt (/ 1 (pow (cbrt -1) 7)))) (* 5/81 (/ x (pow (cbrt -1) 4)))))))) (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>) () ())) ()) |
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#s(alt (/ 1 (* (pow x 2) (pow (cbrt -1) 6))) (taylor -inf x) (#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 (/ 1 (* (pow x 2) (pow (cbrt -1) 6))) (taylor -inf x) (#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 (/ 1 (* (pow x 2) (pow (cbrt -1) 6))) (taylor -inf x) (#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 (* -1 (* x (- (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) (patch (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* 1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))) (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) (patch (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (+ (* -1/3 (* (cbrt (pow x 4)) (/ 1 (cbrt -1)))) (* 1/9 (* (cbrt x) (/ 1 (cbrt -1))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) (patch (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (cbrt -1)))) (* 5/81 (* (cbrt (pow x 7)) (/ 1 (cbrt -1))))) (pow x 3))) (* -1/3 (* (cbrt (pow x 4)) (/ 1 (cbrt -1))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) (patch (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* -1/3 (* (/ 1 (* (pow x 3) (cbrt -1))) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))) (taylor -inf x) (#s(alt (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* 1/3 (* (/ 1 (cbrt -1)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (* x (cbrt -1))) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))) (pow x 3)))) (taylor -inf x) (#s(alt (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (* (/ 1 (cbrt -1)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))) (* -1/3 (* (/ 1 (* x (cbrt -1))) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))) x)) (* 1/3 (* (/ 1 (cbrt -1)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))) (pow x 3)))) (taylor -inf x) (#s(alt (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #<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))) (cbrt -1))) (* (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) (cbrt -1))) (* 1/3 (* (cbrt (pow x 4)) (cbrt -1)))) (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)) (cbrt -1))) (* -5/81 (* (cbrt (pow x 7)) (cbrt -1)))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (cbrt -1)))) (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 (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (cbrt (pow x 2)) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* 1/3 (cbrt (/ 1 (pow x 7)))) (* (cbrt (/ 1 x)) (cbrt -1))))) (taylor -inf x) (#s(alt (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* -1/3 (cbrt (pow x 2))) (* 1/9 (* (cbrt (/ 1 (pow x 4))) (cbrt -1)))) (pow x 3))) (* (cbrt (/ 1 x)) (cbrt -1))))) (taylor -inf x) (#s(alt (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 5)) (cbrt -1))) (* 5/81 (cbrt (/ 1 x)))) (pow x 3))) (* -1/3 (cbrt (pow x 2)))) (pow x 3))) (* (cbrt (/ 1 x)) (cbrt -1))))) (taylor -inf x) (#s(alt (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | -inf | ((- (cbrt (+ x 1)) (cbrt x)) (* (pow (cbrt x) -2) 1/3) (pow (cbrt x) -2) (cbrt x) (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (pow x 1/3) (- (cbrt (+ x 1)) (pow x 1/3)) (cbrt (+ x 1)) (+ x 1) (- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (pow (cbrt x) -6)) 1/3) (cbrt (pow (cbrt x) -6)) (pow (cbrt x) -6) (+ (* (pow (cbrt (- x 1)) -1) (cbrt (+ (* x x) -1))) (neg (cbrt x))) (pow (cbrt (- x 1)) -1) (cbrt (- x 1)) (- x 1) (cbrt (+ (* x x) -1))) |
| 9.0ms | x | @ | inf | ((- (cbrt (+ x 1)) (cbrt x)) (* (pow (cbrt x) -2) 1/3) (pow (cbrt x) -2) (cbrt x) (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (pow x 1/3) (- (cbrt (+ x 1)) (pow x 1/3)) (cbrt (+ x 1)) (+ x 1) (- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (pow (cbrt x) -6)) 1/3) (cbrt (pow (cbrt x) -6)) (pow (cbrt x) -6) (+ (* (pow (cbrt (- x 1)) -1) (cbrt (+ (* x x) -1))) (neg (cbrt x))) (pow (cbrt (- x 1)) -1) (cbrt (- x 1)) (- x 1) (cbrt (+ (* x x) -1))) |
| 7.0ms | x | @ | 0 | ((- (cbrt (+ x 1)) (cbrt x)) (* (pow (cbrt x) -2) 1/3) (pow (cbrt x) -2) (cbrt x) (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (pow x 1/3) (- (cbrt (+ x 1)) (pow x 1/3)) (cbrt (+ x 1)) (+ x 1) (- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (pow (cbrt x) -6)) 1/3) (cbrt (pow (cbrt x) -6)) (pow (cbrt x) -6) (+ (* (pow (cbrt (- x 1)) -1) (cbrt (+ (* x x) -1))) (neg (cbrt x))) (pow (cbrt (- x 1)) -1) (cbrt (- x 1)) (- x 1) (cbrt (+ (* x x) -1))) |
| 1× | egg-herbie |
| 9 270× | lower-fma.f64 |
| 9 270× | lower-fma.f32 |
| 5 884× | lower-*.f64 |
| 5 884× | lower-*.f32 |
| 3 458× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 424 | 3264 |
| 1 | 1177 | 3021 |
| 2 | 3569 | 2997 |
| 0 | 8383 | 2867 |
| 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 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) |
(- 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)) |
(cbrt -1) |
(+ (cbrt -1) (* -1/3 (* x (cbrt (/ 1 (pow (cbrt -1) 2)))))) |
(+ (cbrt -1) (* x (+ (* -1/3 (cbrt (/ 1 (pow (cbrt -1) 2)))) (* -1/3 (/ (* x (+ 1 (* 1/3 (cbrt (/ 1 (cbrt -1)))))) (pow (cbrt -1) 2)))))) |
(+ (cbrt -1) (* x (+ (* -1/3 (cbrt (/ 1 (pow (cbrt -1) 2)))) (* x (+ (* -1/3 (/ (+ 1 (* 1/3 (cbrt (/ 1 (cbrt -1))))) (pow (cbrt -1) 2))) (* 1/3 (/ (* x (- (* 1/27 (/ 1 (pow (cbrt -1) 2))) (+ 1 (* 2/3 (* (cbrt (/ 1 (pow (cbrt -1) 5))) (+ 1 (* 1/3 (cbrt (/ 1 (cbrt -1)))))))))) (pow (cbrt -1) 2)))))))) |
(cbrt -1) |
(+ (cbrt -1) (* 1/3 (* x (cbrt (/ 1 (pow (cbrt -1) 2)))))) |
(+ (cbrt -1) (* x (+ (* -1/9 (* x (cbrt (/ 1 (pow (cbrt -1) 7))))) (* 1/3 (cbrt (/ 1 (pow (cbrt -1) 2))))))) |
(+ (cbrt -1) (* x (+ (* 1/3 (cbrt (/ 1 (pow (cbrt -1) 2)))) (* x (+ (* -1/9 (cbrt (/ 1 (pow (cbrt -1) 7)))) (* 5/81 (/ x (pow (cbrt -1) 4)))))))) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
(cbrt -1) |
(+ (cbrt -1) (* 1/3 (/ (pow x 2) (pow (cbrt -1) 2)))) |
(+ (cbrt -1) (* (pow x 2) (+ (* -1/9 (/ (pow x 2) (pow (cbrt -1) 5))) (* 1/3 (/ 1 (pow (cbrt -1) 2)))))) |
(+ (cbrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 5/81 (/ (pow x 2) (pow (cbrt -1) 8))) (* 1/9 (/ 1 (pow (cbrt -1) 5))))) (* 1/3 (/ 1 (pow (cbrt -1) 2)))))) |
(* 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) |
(cbrt x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2)))))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 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))) |
(* 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 (+ (/ 1 x) (/ 1 (pow x 2)))) |
(+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))) |
(+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (+ (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (pow x 4)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))))) |
(+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (+ (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))) (+ (* 1/3 (* (/ 1 (pow x 4)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (pow x 5)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))))) |
(cbrt x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* -1/3 (cbrt (/ 1 (pow x 5)))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/3 (cbrt (/ 1 (pow x 5)))) (* -1/9 (cbrt (/ 1 (pow x 8))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/3 (cbrt (/ 1 (pow x 5)))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* -5/81 (cbrt (/ 1 (pow x 11)))))))) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(cbrt (pow x 2)) |
(* x (+ (cbrt (/ 1 x)) (* -1/3 (cbrt (/ 1 (pow x 7)))))) |
(* x (+ (cbrt (/ 1 x)) (+ (* -1/3 (cbrt (/ 1 (pow x 7)))) (* -1/9 (cbrt (/ 1 (pow x 13))))))) |
(* x (+ (cbrt (/ 1 x)) (+ (* -1/3 (cbrt (/ 1 (pow x 7)))) (+ (* -1/9 (cbrt (/ 1 (pow x 13)))) (* -5/81 (cbrt (/ 1 (pow x 19)))))))) |
(* 1/3 (* (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 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) |
(* -1 (* x (+ (* -1 (/ (- (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (- (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))) (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* (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))) |
(* 1/3 (* (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))) |
(* 1/3 (* (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 (* x (- (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (+ (* 1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (cbrt -1)))) (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* -1/3 (* (cbrt (pow x 4)) (/ 1 (cbrt -1)))) (* 1/9 (* (cbrt x) (/ 1 (cbrt -1))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (cbrt -1)))) (* 5/81 (* (cbrt (pow x 7)) (/ 1 (cbrt -1))))) (pow x 3))) (* -1/3 (* (cbrt (pow x 4)) (/ 1 (cbrt -1))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) |
(+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* -1/3 (* (/ 1 (* (pow x 3) (cbrt -1))) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))) |
(+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* 1/3 (* (/ 1 (cbrt -1)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (* x (cbrt -1))) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))) (pow x 3)))) |
(+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (* (/ 1 (cbrt -1)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))) (* -1/3 (* (/ 1 (* x (cbrt -1))) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))) x)) (* 1/3 (* (/ 1 (cbrt -1)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))) (pow x 3)))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (cbrt -1))) (* 1/3 (* (cbrt (pow x 4)) (cbrt -1)))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (cbrt -1))) (* -5/81 (* (cbrt (pow x 7)) (cbrt -1)))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (cbrt -1)))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* (cbrt (pow x 2)) (cbrt -1))) |
(* -1 (* x (+ (* 1/3 (cbrt (/ 1 (pow x 7)))) (* (cbrt (/ 1 x)) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/3 (cbrt (pow x 2))) (* 1/9 (* (cbrt (/ 1 (pow x 4))) (cbrt -1)))) (pow x 3))) (* (cbrt (/ 1 x)) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 5)) (cbrt -1))) (* 5/81 (cbrt (/ 1 x)))) (pow x 3))) (* -1/3 (cbrt (pow x 2)))) (pow x 3))) (* (cbrt (/ 1 x)) (cbrt -1))))) |
| 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))) |
(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)) |
(- 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))) |
(cbrt -1) |
(cbrt.f64 #s(literal -1 binary64)) |
(+ (cbrt -1) (* -1/3 (* x (cbrt (/ 1 (pow (cbrt -1) 2)))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))) |
(+ (cbrt -1) (* x (+ (* -1/3 (cbrt (/ 1 (pow (cbrt -1) 2)))) (* -1/3 (/ (* x (+ 1 (* 1/3 (cbrt (/ 1 (cbrt -1)))))) (pow (cbrt -1) 2)))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64)))) #s(literal 1/3 binary64) #s(literal 1 binary64)) (/.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (cbrt.f64 #s(literal -1 binary64))) |
(+ (cbrt -1) (* x (+ (* -1/3 (cbrt (/ 1 (pow (cbrt -1) 2)))) (* x (+ (* -1/3 (/ (+ 1 (* 1/3 (cbrt (/ 1 (cbrt -1))))) (pow (cbrt -1) 2))) (* 1/3 (/ (* x (- (* 1/27 (/ 1 (pow (cbrt -1) 2))) (+ 1 (* 2/3 (* (cbrt (/ 1 (pow (cbrt -1) 5))) (+ 1 (* 1/3 (cbrt (/ 1 (cbrt -1)))))))))) (pow (cbrt -1) 2)))))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64)))) #s(literal 1/3 binary64) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x) (*.f64 (fma.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64)))) #s(literal 1/3 binary64) #s(literal 1 binary64)) (/.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal -1/3 binary64))) x (cbrt.f64 #s(literal -1 binary64))) |
(cbrt -1) |
(cbrt.f64 #s(literal -1 binary64)) |
(+ (cbrt -1) (* 1/3 (* x (cbrt (/ 1 (pow (cbrt -1) 2)))))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x) (cbrt.f64 #s(literal -1 binary64))) |
(+ (cbrt -1) (* x (+ (* -1/9 (* x (cbrt (/ 1 (pow (cbrt -1) 7))))) (* 1/3 (cbrt (/ 1 (pow (cbrt -1) 2))))))) |
(fma.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)))) (*.f64 #s(literal -1/9 binary64) x) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1/3 binary64))) x (cbrt.f64 #s(literal -1 binary64))) |
(+ (cbrt -1) (* x (+ (* 1/3 (cbrt (/ 1 (pow (cbrt -1) 2)))) (* x (+ (* -1/9 (cbrt (/ 1 (pow (cbrt -1) 7)))) (* 5/81 (/ x (pow (cbrt -1) 4)))))))) |
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-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(cbrt -1) |
(cbrt.f64 #s(literal -1 binary64)) |
(+ (cbrt -1) (* 1/3 (/ (pow x 2) (pow (cbrt -1) 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) x (cbrt.f64 #s(literal -1 binary64))) |
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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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(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
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(* 1/3 (cbrt (/ 1 (pow x 2)))) |
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(* 1/3 (cbrt (/ 1 (pow x 2)))) |
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(* 1/3 (cbrt (/ 1 (pow x 2)))) |
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(cbrt (/ 1 (pow x 2))) |
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(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 x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2)))))) |
#s(literal 0 binary64) |
(* 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) |
(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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(/ (+ (* -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) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 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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(* 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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(* 1/3 (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)) |
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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 (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
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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))) |
(/ 1 (pow x 2)) |
(/.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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(* 1/3 (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)) |
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(cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) |
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))) |
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(+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (+ (* 1/3 (* (/ 1 (pow x 3)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))) (+ (* 1/3 (* (/ 1 (pow x 4)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (pow x 5)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))))) |
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(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))) (+ (* -1/3 (cbrt (/ 1 (pow x 5)))) (* -1/9 (cbrt (/ 1 (pow x 8))))))) |
(*.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))) (+ (* -1/3 (cbrt (/ 1 (pow x 5)))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* -5/81 (cbrt (/ 1 (pow x 11)))))))) |
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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 (pow x 2)) |
(cbrt.f64 (*.f64 x x)) |
(* x (+ (cbrt (/ 1 x)) (* -1/3 (cbrt (/ 1 (pow x 7)))))) |
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* x (+ (cbrt (/ 1 x)) (+ (* -1/3 (cbrt (/ 1 (pow x 7)))) (* -1/9 (cbrt (/ 1 (pow x 13))))))) |
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(* x (+ (cbrt (/ 1 x)) (+ (* -1/3 (cbrt (/ 1 (pow x 7)))) (+ (* -1/9 (cbrt (/ 1 (pow x 13)))) (* -5/81 (cbrt (/ 1 (pow x 19)))))))) |
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(* 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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(*.f64 (neg.f64 x) (fma.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 #s(literal -1 binary64))) #s(literal 1/3 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* -1/3 (* (cbrt (pow x 4)) (/ 1 (cbrt -1)))) (* 1/9 (* (cbrt x) (/ 1 (cbrt -1))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (neg.f64 x) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (cbrt -1)))) (* 5/81 (* (cbrt (pow x 7)) (/ 1 (cbrt -1))))) (pow x 3))) (* -1/3 (* (cbrt (pow x 4)) (/ 1 (cbrt -1))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (neg.f64 x) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (cbrt.f64 #s(literal -1 binary64))) #s(literal -1/3 binary64) (/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64)))) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 5/81 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) #s(literal -1/9 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))) |
(cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) |
(cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* -1/3 (* (/ 1 (* (pow x 3) (cbrt -1))) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))) |
(fma.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* 1/3 (* (/ 1 (cbrt -1)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))) (* 1/3 (* (/ 1 (* x (cbrt -1))) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))) (pow x 3)))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (pow.f64 x #s(literal 3 binary64))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(+ (cbrt (+ (/ 1 x) (/ 1 (pow x 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (* (/ 1 (cbrt -1)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2))))) (* -1/3 (* (/ 1 (* x (cbrt -1))) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))) x)) (* 1/3 (* (/ 1 (cbrt -1)) (cbrt (/ 1 (pow (+ (/ 1 x) (/ 1 (pow x 2))) 2)))))) (pow x 3)))) |
(-.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x) #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)))))) (pow.f64 x #s(literal 3 binary64)))) |
(* -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))) (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (*.f64 (neg.f64 (cbrt.f64 #s(literal -1 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) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (cbrt -1))) (* 1/3 (* (cbrt (pow x 4)) (cbrt -1)))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (neg.f64 x) (fma.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (cbrt -1))) (* -5/81 (* (cbrt (pow x 7)) (cbrt -1)))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (cbrt -1)))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (neg.f64 x) (fma.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal -5/81 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) #s(literal -1/9 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* (cbrt (pow x 2)) (cbrt -1))) |
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (*.f64 x x))) |
(* -1 (* x (+ (* 1/3 (cbrt (/ 1 (pow x 7)))) (* (cbrt (/ 1 x)) (cbrt -1))))) |
(*.f64 (neg.f64 x) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1/3 (cbrt (pow x 2))) (* 1/9 (* (cbrt (/ 1 (pow x 4))) (cbrt -1)))) (pow x 3))) (* (cbrt (/ 1 x)) (cbrt -1))))) |
(*.f64 (neg.f64 x) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal -1/3 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 5)) (cbrt -1))) (* 5/81 (cbrt (/ 1 x)))) (pow x 3))) (* -1/3 (cbrt (pow x 2)))) (pow x 3))) (* (cbrt (/ 1 x)) (cbrt -1))))) |
(*.f64 (neg.f64 x) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (cbrt.f64 (*.f64 x x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5/81 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))) |
| 8 724× | lower-fma.f32 |
| 8 720× | lower-fma.f64 |
| 3 364× | lower-*.f32 |
| 3 362× | lower-*.f64 |
| 1 692× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 120 |
| 0 | 55 | 107 |
| 1 | 174 | 103 |
| 2 | 1161 | 103 |
| 0 | 9619 | 96 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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) |
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) |
(pow.f64 x #s(literal 1/3 binary64)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
#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)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) |
(pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(cbrt.f64 (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (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)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/6 binary64))) (pow.f64 x #s(literal -1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2/3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -2/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -2/3 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (cbrt.f64 x))) |
(pow.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/6 binary64)) |
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal -2 binary64))) |
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 (log.f64 x) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -4 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -2/3 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (log.f64 x) #s(literal -2 binary64))) |
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) |
(pow.f64 x #s(literal -2/3 binary64)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (cbrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(cbrt.f64 (pow.f64 x #s(literal -2 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1/3 binary64) (*.f64 (log.f64 x) #s(literal -1/3 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1/3 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) |
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/12 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/12 binary64))) (pow.f64 x #s(literal 1/12 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 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 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (*.f64 (pow.f64 x #s(literal 1/12 binary64)) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))))) |
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))))) |
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(/.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (cbrt.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x)))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp.f64 (fma.f64 (log1p.f64 x) #s(literal 1/3 binary64) (*.f64 (log1p.f64 x) #s(literal 1/3 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 x x)) #s(literal 1/3 binary64))) |
Compiled 34 919 to 3 919 computations (88.8% saved)
43 alts after pruning (36 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 727 | 12 | 1 739 |
| Fresh | 4 | 24 | 28 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 731 | 43 | 1 774 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 5.4% | (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) |
| 8.2% | (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))))) | |
| 6.3% | (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) | |
| 4.0% | (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)) | |
| 5.6% | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) (cbrt.f64 x)) | |
| 6.3% | (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| ✓ | 7.6% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) |
| ✓ | 6.5% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 25.9% | #s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (/.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))) | |
| 25.7% | #s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (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))) | |
| 26.0% | #s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (*.f64 x x))) | |
| 52.0% | #s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) | |
| 23.7% | #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64))) x)) | |
| ▶ | 5.3% | #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) |
| ✓ | 4.1% | #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) |
| 96.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) | |
| 96.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) | |
| 96.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64))) | |
| 96.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 x (fma.f64 (cbrt.f64 x) (cbrt.f64 x) #s(literal 0 binary64))) #s(literal -2 binary64)) #s(literal 1/3 binary64))) | |
| 96.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64)) #s(literal 1/3 binary64))) | |
| 96.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x))) #s(literal -2 binary64)) #s(literal 1/3 binary64))) | |
| 95.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 1/3 binary64))) | |
| 48.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) | |
| 90.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (log.f64 x) #s(literal -2 binary64))) #s(literal 1/3 binary64))) | |
| 90.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (cbrt.f64 x))) #s(literal 1/3 binary64))) | |
| ▶ | 96.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) |
| ✓ | 97.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
| 89.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) | |
| 93.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/12 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))))) | |
| ▶ | 96.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) |
| 96.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) | |
| 52.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) | |
| 96.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))) | |
| 96.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) | |
| ▶ | 89.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))) |
| ✓ | 52.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64))) |
| 53.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) | |
| ✓ | 53.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
| 53.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) | |
| 53.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) | |
| ▶ | 50.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))) |
| 9.0% | #s(approx (+ (* (pow (cbrt (- x 1)) -1) (cbrt (+ (* x x) -1))) (neg (cbrt x))) (*.f64 (neg.f64 x) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (cbrt.f64 #s(literal -1 binary64))) #s(literal -1/3 binary64) (/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64)))) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 5/81 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) #s(literal -1/9 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))))) | |
| 25.3% | #s(approx (+ (* (pow (cbrt (- x 1)) -1) (cbrt (+ (* x x) -1))) (neg (cbrt x))) (*.f64 (neg.f64 x) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))))) |
Compiled 1 058 to 838 computations (20.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) | |
| cost-diff | 6080 | (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) | |
| cost-diff | 7104 | (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) | |
| cost-diff | 0 | (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))) | |
| cost-diff | 6656 | (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) | |
| cost-diff | 0 | (log.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal -2/3 binary64) (log.f64 x)) | |
| cost-diff | 0 | (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (cbrt.f64 x) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) | |
| cost-diff | 0 | (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 0 | (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) | |
| cost-diff | 0 | (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) |
| 292× | lower-fma.f64 |
| 292× | lower-fma.f32 |
| 256× | lower-*.f32 |
| 242× | lower-*.f64 |
| 112× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 192 |
| 0 | 55 | 184 |
| 1 | 81 | 172 |
| 2 | 112 | 172 |
| 3 | 131 | 172 |
| 4 | 152 | 172 |
| 5 | 179 | 172 |
| 6 | 236 | 172 |
| 7 | 284 | 172 |
| 8 | 370 | 172 |
| 9 | 413 | 172 |
| 10 | 569 | 172 |
| 11 | 648 | 172 |
| 12 | 700 | 172 |
| 13 | 724 | 172 |
| 14 | 728 | 172 |
| 0 | 728 | 166 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) |
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) |
(cbrt.f64 (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(cbrt.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(literal 1/3 binary64) |
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) |
(cbrt.f64 x) |
x |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))) |
(*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)) |
(exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) |
(*.f64 #s(literal -2/3 binary64) (log.f64 x)) |
#s(literal -2/3 binary64) |
(log.f64 x) |
x |
#s(literal 1/3 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64)) |
(cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
(*.f64 (log.f64 x) #s(literal -2 binary64)) |
(log.f64 x) |
x |
#s(literal -2 binary64) |
#s(literal 1/3 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))) |
(pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) |
(cbrt.f64 x) |
x |
#s(literal -1 binary64) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (/.f64 #s(literal -1 binary64) x)))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) |
(cbrt.f64 (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(cbrt.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(literal 1/3 binary64) |
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) |
(cbrt.f64 x) |
x |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) #s(literal 1/3 binary64))) |
(*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)) |
(*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) #s(literal 1/3 binary64)) |
(exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) |
(pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) |
(*.f64 #s(literal -2/3 binary64) (log.f64 x)) |
(*.f64 (log.f64 x) #s(literal -2/3 binary64)) |
#s(literal -2/3 binary64) |
(log.f64 x) |
x |
#s(literal 1/3 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) |
(cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) |
(cbrt.f64 (pow.f64 x #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(*.f64 (log.f64 x) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (log.f64 x)) |
(log.f64 x) |
x |
#s(literal -2 binary64) |
#s(literal 1/3 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) |
#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 -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) |
(cbrt.f64 x) |
x |
#s(literal -1 binary64) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) |
#s(literal 1/3 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3203125 | (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))) | |
| accuracy | 0.3984375 | (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) | |
| accuracy | 0.4658775879159782 | (cbrt.f64 x) | |
| accuracy | 1.0263334593831523 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) | |
| accuracy | 0.40234375 | (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64)) | |
| accuracy | 1.0263334593831523 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))) | |
| accuracy | 2.9894811759067736 | (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) | |
| accuracy | 28.900324944092812 | (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) | |
| accuracy | 0.34765625 | (*.f64 #s(literal -2/3 binary64) (log.f64 x)) | |
| accuracy | 0.40234375 | (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)) | |
| accuracy | 1.0263334593831523 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))) | |
| accuracy | 5.2429606523650945 | (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) | |
| accuracy | 0.4658775879159782 | (cbrt.f64 x) | |
| accuracy | 60.57880269208054 | #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) | |
| accuracy | 0.40234375 | (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) | |
| accuracy | 0.4658775879159782 | (cbrt.f64 (neg.f64 x)) | |
| accuracy | 0.6759339844426087 | (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 1.0263334593831523 | #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))) |
| 222.0ms | 194× | 1 | valid |
| 140.0ms | 54× | 2 | valid |
| 2.0ms | 8× | 0 | valid |
Compiled 151 to 32 computations (78.8% saved)
ival-cbrt: 86.0ms (32.3% of total)ival-mult: 43.0ms (16.1% of total)ival-pow: 27.0ms (10.1% of total)ival-neg: 27.0ms (10.1% of total)ival-exp: 25.0ms (9.4% of total)const: 17.0ms (6.4% of total)adjust: 14.0ms (5.3% of total)ival-log: 13.0ms (4.9% of total)ival-sub: 6.0ms (2.3% of total)ival-div: 4.0ms (1.5% of total)ival-add: 4.0ms (1.5% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) (patch (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (patch (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) (patch #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (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 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)) (patch (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -2/3 binary64) (log.f64 x)) (patch (*.f64 #s(literal -2/3 binary64) (log.f64 x)) #<representation binary64>) () ()) |
#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ()) |
#s(alt (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) (patch (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) (patch (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))) (patch (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (patch (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (patch (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 (neg.f64 x)) (patch (cbrt.f64 (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) (patch (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.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 (- 1 (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) (patch #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) (patch #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log 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)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) (patch #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log 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)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) (patch #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.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 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.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 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.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 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)) (patch (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)) (patch (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)) (patch (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))) (patch (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))) (patch (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))) (patch (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (patch (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (patch (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (patch (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (patch (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) (taylor -inf x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (/ 1 x)) (taylor -inf x) (#s(alt (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (patch (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (/ 1 x)) (taylor -inf x) (#s(alt (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (patch (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (/ 1 x)) (taylor -inf x) (#s(alt (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (patch (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (/ 1 x)) (taylor -inf x) (#s(alt (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (patch (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (cbrt x)) (taylor -inf x) (#s(alt (cbrt.f64 (neg.f64 x)) (patch (cbrt.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (cbrt x)) (taylor -inf x) (#s(alt (cbrt.f64 (neg.f64 x)) (patch (cbrt.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (cbrt x)) (taylor -inf x) (#s(alt (cbrt.f64 (neg.f64 x)) (patch (cbrt.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (cbrt x)) (taylor -inf x) (#s(alt (cbrt.f64 (neg.f64 x)) (patch (cbrt.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (/ 1 (pow x 2))) (taylor -inf x) (#s(alt (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) (patch (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (/ 1 (pow x 2))) (taylor -inf x) (#s(alt (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) (patch (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (/ 1 (pow x 2))) (taylor -inf x) (#s(alt (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) (patch (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (/ 1 (pow x 2))) (taylor -inf x) (#s(alt (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) (patch (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 64.0ms | x | @ | -inf | ((- (cbrt (+ x 1)) (cbrt x)) (* (/ (cbrt (/ -1 x)) (cbrt (neg x))) 1/3) (/ (cbrt (/ -1 x)) (cbrt (neg x))) (cbrt (/ -1 x)) (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt x) (- (cbrt (+ x 1)) (cbrt x)) (* (exp (* -2/3 (log x))) 1/3) (* -2/3 (log x)) (log x) (exp (* (log x) -2)) (- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (exp (* (log x) -2))) 1/3) (cbrt (exp (* (log x) -2))) (* (pow (cbrt x) -1) (* (pow (cbrt x) -1) 1/3)) (* (pow (cbrt x) -1) 1/3) (- (cbrt (+ x 1)) (cbrt x)) (pow (cbrt x) -1) (cbrt (neg x)) (exp (* -2/3 (log x)))) |
| 14.0ms | x | @ | inf | ((- (cbrt (+ x 1)) (cbrt x)) (* (/ (cbrt (/ -1 x)) (cbrt (neg x))) 1/3) (/ (cbrt (/ -1 x)) (cbrt (neg x))) (cbrt (/ -1 x)) (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt x) (- (cbrt (+ x 1)) (cbrt x)) (* (exp (* -2/3 (log x))) 1/3) (* -2/3 (log x)) (log x) (exp (* (log x) -2)) (- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (exp (* (log x) -2))) 1/3) (cbrt (exp (* (log x) -2))) (* (pow (cbrt x) -1) (* (pow (cbrt x) -1) 1/3)) (* (pow (cbrt x) -1) 1/3) (- (cbrt (+ x 1)) (cbrt x)) (pow (cbrt x) -1) (cbrt (neg x)) (exp (* -2/3 (log x)))) |
| 14.0ms | x | @ | 0 | ((- (cbrt (+ x 1)) (cbrt x)) (* (/ (cbrt (/ -1 x)) (cbrt (neg x))) 1/3) (/ (cbrt (/ -1 x)) (cbrt (neg x))) (cbrt (/ -1 x)) (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt x) (- (cbrt (+ x 1)) (cbrt x)) (* (exp (* -2/3 (log x))) 1/3) (* -2/3 (log x)) (log x) (exp (* (log x) -2)) (- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (exp (* (log x) -2))) 1/3) (cbrt (exp (* (log x) -2))) (* (pow (cbrt x) -1) (* (pow (cbrt x) -1) 1/3)) (* (pow (cbrt x) -1) 1/3) (- (cbrt (+ x 1)) (cbrt x)) (pow (cbrt x) -1) (cbrt (neg x)) (exp (* -2/3 (log x)))) |
| 1× | egg-herbie |
| 9 642× | lower-fma.f64 |
| 9 642× | lower-fma.f32 |
| 4 156× | lower-*.f64 |
| 4 156× | lower-*.f32 |
| 1 920× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 157 | 2449 |
| 1 | 378 | 2323 |
| 2 | 930 | 2318 |
| 3 | 2165 | 2299 |
| 4 | 5019 | 2297 |
| 0 | 8254 | 2192 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(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)))) |
(* -2/3 (log x)) |
(* -2/3 (log x)) |
(* -2/3 (log x)) |
(* -2/3 (log x)) |
(log x) |
(log x) |
(log x) |
(log x) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (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))) |
(* 1/3 (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 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(cbrt x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2)))))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 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)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 2/3 (log (/ 1 x))) |
(* 2/3 (log (/ 1 x))) |
(* 2/3 (log (/ 1 x))) |
(* 2/3 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(/ 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)) |
(* 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))) |
(* 1/3 (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 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(* (cbrt x) (cbrt -1)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* (cbrt (/ 1 (pow x 2))) (cbrt -1)) (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) |
(* -1 (* x (+ (* -1 (/ (- (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (- (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))))) (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* (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))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))) |
(* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))) |
(* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))) |
(* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(/ 1 (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)) |
(* 1/3 (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))) |
(* 1/3 (* (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 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 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)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(cbrt (/ 1 x)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(* -1 (cbrt x)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
| 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))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(fma.f64 #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))) |
(* 1/3 (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)) |
(* -2/3 (log x)) |
(*.f64 (log.f64 x) #s(literal -2/3 binary64)) |
(* -2/3 (log x)) |
(*.f64 (log.f64 x) #s(literal -2/3 binary64)) |
(* -2/3 (log x)) |
(*.f64 (log.f64 x) #s(literal -2/3 binary64)) |
(* -2/3 (log x)) |
(*.f64 (log.f64 x) #s(literal -2/3 binary64)) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(/ 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))) |
(* 1/3 (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))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 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)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(* (cbrt x) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(* (cbrt x) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(* (cbrt x) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(* (cbrt x) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(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))) |
(* 1/3 (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))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(cbrt x) |
(cbrt.f64 x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* -1 (cbrt (/ 1 (pow x 2)))))) |
#s(literal 0 binary64) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(* x (+ (* -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) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64))) x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.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)) |
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(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal -2/3 binary64)) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) 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)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (*.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))))) (pow.f64 x #s(literal 3 binary64)))) x) x) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 10/243 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))) (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (*.f64 (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 16 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(* 1/3 (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))) |
(* 1/3 (* (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 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)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (*.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))))) (pow.f64 x #s(literal 3 binary64)))) x) x) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 10/243 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))) (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (*.f64 (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 16 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(cbrt (/ 1 x)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(* -1 (cbrt x)) |
(neg.f64 (cbrt.f64 x)) |
(* -1 (cbrt x)) |
(neg.f64 (cbrt.f64 x)) |
(* -1 (cbrt x)) |
(neg.f64 (cbrt.f64 x)) |
(* -1 (cbrt x)) |
(neg.f64 (cbrt.f64 x)) |
(cbrt (/ 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))) |
| 6 496× | lower-fma.f64 |
| 6 496× | lower-fma.f32 |
| 3 826× | lower-*.f32 |
| 3 816× | lower-*.f64 |
| 2 204× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 166 |
| 0 | 55 | 165 |
| 1 | 154 | 160 |
| 2 | 786 | 127 |
| 3 | 5926 | 127 |
| 0 | 8182 | 114 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) |
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) |
(cbrt.f64 (/.f64 #s(literal -1 binary64) x)) |
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) |
(cbrt.f64 x) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))) |
(*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -2/3 binary64) (log.f64 x)) |
(log.f64 x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64)) |
(cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) |
(pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) |
(cbrt.f64 (neg.f64 x)) |
(exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 (cbrt.f64 x))) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/12 binary64))) (pow.f64 x #s(literal -1/12 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (pow.f64 (neg.f64 x) #s(literal -1/6 binary64))) (pow.f64 (neg.f64 x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal -1/6 binary64))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (cbrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/12 binary64)) (*.f64 (pow.f64 x #s(literal -1/12 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1/6 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal -1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))) |
(*.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (neg.f64 (cbrt.f64 x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (neg.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
(pow.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) #s(literal -1 binary64)) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x)) |
(/.f64 (*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) (neg.f64 (cbrt.f64 x))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) (neg.f64 (cbrt.f64 x))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64))) (cbrt.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64))) |
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(pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -2/3 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 x))) |
(pow.f64 (neg.f64 x) #s(literal -2/3 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2/3 binary64)) |
(pow.f64 x #s(literal -2/3 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) #s(literal 1 binary64)) (neg.f64 (cbrt.f64 x))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) (neg.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64))) |
(/.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) #s(literal -1 binary64)) (cbrt.f64 x)) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x)) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (pow.f64 x #s(literal -1/6 binary64)) (pow.f64 x #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) |
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (cbrt.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(neg.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(cbrt.f64 (pow.f64 x #s(literal -2 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cbrt.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (exp.f64 #s(literal -2/3 binary64)) (exp.f64 #s(literal -2/3 binary64)))) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1/6 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 x) x)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -2 binary64))) (log.f64 (cbrt.f64 x)))) |
(exp.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal -2 binary64)))) |
(exp.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 #s(literal 2/3 binary64) (neg.f64 (log.f64 x)))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (log.f64 x)) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 x)) #s(literal -4 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/3 binary64))) |
(exp.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -2/3 binary64)))) |
(exp.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal -2/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2/3 binary64))) |
(exp.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (log.f64 x)) (log.f64 (cbrt.f64 x)))) |
(exp.f64 (neg.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) |
Compiled 24 961 to 4 360 computations (82.5% saved)
51 alts after pruning (41 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 770 | 15 | 1 785 |
| Fresh | 5 | 26 | 31 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 6 | 7 |
| Total | 1 777 | 51 | 1 828 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 5.4% | (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) |
| 8.2% | (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))))) | |
| 6.3% | (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) | |
| 4.0% | (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)) | |
| 5.6% | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) (cbrt.f64 x)) | |
| 6.3% | (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| ✓ | 7.6% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) |
| ✓ | 6.5% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 25.9% | #s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (/.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))) | |
| 25.7% | #s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (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))) | |
| 26.0% | #s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (*.f64 x x))) | |
| 52.0% | #s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) | |
| 5.3% | #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (pow.f64 x #s(literal 1/3 binary64))) | |
| 23.7% | #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64))) x)) | |
| ✓ | 5.3% | #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) |
| ✓ | 4.1% | #s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) |
| 96.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) | |
| 96.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) | |
| 96.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))) | |
| 96.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) | |
| 96.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 x (fma.f64 (cbrt.f64 x) (cbrt.f64 x) #s(literal 0 binary64))) #s(literal -2 binary64)) #s(literal 1/3 binary64))) | |
| 96.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64)) #s(literal 1/3 binary64))) | |
| 96.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x))) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) | |
| 96.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) | |
| 95.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 1/3 binary64))) | |
| 74.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) | |
| 48.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) | |
| 90.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (log.f64 x) #s(literal -2 binary64))) #s(literal 1/3 binary64))) | |
| 91.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (neg.f64 (log.f64 x))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) | |
| 90.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) #s(literal 1/3 binary64))) | |
| 90.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (cbrt.f64 x))) #s(literal 1/3 binary64))) | |
| 96.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)))) | |
| 97.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 #s(approx (pow (cbrt x) -1) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64)))) | |
| ✓ | 97.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
| 89.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) | |
| 37.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) #s(literal 1/3 binary64))) | |
| ✓ | 96.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) |
| 96.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) | |
| 52.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) | |
| 96.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 (cbrt.f64 x))) (/.f64 #s(literal -1 binary64) (cbrt.f64 x)))) | |
| 96.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))) #s(literal 1/3 binary64))) | |
| 96.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) | |
| 90.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal -2 binary64))) #s(literal 1/3 binary64))) | |
| ✓ | 89.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))) |
| 53.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) | |
| ✓ | 53.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
| 53.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) | |
| 53.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) | |
| ✓ | 50.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))) |
| 96.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(approx (pow (cbrt x) -1) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) | |
| 9.0% | #s(approx (+ (* (pow (cbrt (- x 1)) -1) (cbrt (+ (* x x) -1))) (neg (cbrt x))) (*.f64 (neg.f64 x) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (cbrt.f64 #s(literal -1 binary64))) #s(literal -1/3 binary64) (/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64)))) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 5/81 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) #s(literal -1/9 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))))) |
Compiled 1 774 to 898 computations (49.4% saved)
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) |
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (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)) (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 x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (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 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
#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 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 (cbrt.f64 x))) (/.f64 #s(literal -1 binary64) (cbrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) |
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))) #s(literal 1/3 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (log.f64 x)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x)) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (log.f64 x) #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/6 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(approx (pow (cbrt x) -1) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 #s(approx (pow (cbrt x) -1) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 x (fma.f64 (cbrt.f64 x) (cbrt.f64 x) #s(literal 0 binary64))) #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
#s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (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 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) |
(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x)) |
(-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (cbrt.f64 x))) #s(literal 1/3 binary64))) |
(-.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 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) |
(-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 x))))) (cbrt.f64 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) (cbrt.f64 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/12 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64))) x)) |
(-.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 x)) |
#s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x))) |
(-.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 x))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (neg.f64 (log.f64 x))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 2/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) #s(literal 1/3 binary64))) |
(-.f64 (cbrt.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x))) #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x)))) |
#s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x))) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) |
#s(approx (+ (* (pow (cbrt (- x 1)) -1) (cbrt (+ (* x x) -1))) (neg (cbrt x))) (*.f64 (neg.f64 x) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))))) |
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x))) |
#s(approx (+ (* (pow (cbrt (- x 1)) -1) (cbrt (+ (* x x) -1))) (neg (cbrt x))) (*.f64 (neg.f64 x) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (cbrt.f64 #s(literal -1 binary64))) #s(literal -1/3 binary64) (/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64)))) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 5/81 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) #s(literal -1/9 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))))) |
#s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 10 binary64))) #s(literal -5/81 binary64) (*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64))) #s(literal -1/9 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
2 calls:
| 40.0ms | x |
| 6.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 1 | x |
| 97.0% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) |
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (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)) (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 x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (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 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
2 calls:
| 14.0ms | x |
| 2.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.2% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 92.7% | 2 | x |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) |
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (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)) (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 x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (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 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#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 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
1 calls:
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.5% | 2 | x |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) |
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (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)) (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 x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (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 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
1 calls:
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.5% | 2 | x |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) |
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (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)) (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))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.2% | 1 | x |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) |
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (pow.f64 x #s(literal 1/3 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) |
2 calls:
| 4.0ms | x |
| 2.0ms | (-.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 8 to 7 computations (12.5% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) |
2 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.1% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 4.1% | 1 | x |
Compiled 8 to 7 computations (12.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 4.329857400264294e+153 | 2.1839388077033642e+157 |
| 18.0ms | 128× | 1 | valid |
Compiled 146 to 146 computations (0% saved)
ival-add: 7.0ms (50.2% of total)ival-cbrt: 3.0ms (21.5% of total)adjust: 2.0ms (14.3% of total)ival-sub: 1.0ms (7.2% 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 |
|---|---|---|
| 14.0ms | 4.329857400264294e+153 | 2.1839388077033642e+157 |
| 9.0ms | 96× | 1 | valid |
Compiled 146 to 138 computations (5.5% saved)
adjust: 2.0ms (31.8% of total)ival-cbrt: 2.0ms (31.8% of total)ival-add: 1.0ms (15.9% of total)ival-sub: 1.0ms (15.9% 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 | 4.329857400264294e+153 | 2.1839388077033642e+157 |
Compiled 130 to 138 computations (-6.2% saved)
| 1× | egg-herbie |
| 10× | *-commutative-binary64-*.f64 |
| 2× | 1-exp-binary32-exp.f32 |
| 2× | 1-exp-binary64-exp.f64 |
| 2× | /-rgt-identity-binary64-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 170 |
| 1 | 65 | 170 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))) |
(if (<=.f64 x #s(literal 160000000000000005911607310089316246556946877277483015230764456834408698549555513555464209755286533239144188058995722677029392053593174466736739079172390912 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1/3 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal 1/3 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))) |
(if (<=.f64 x #s(literal 160000000000000005911607310089316246556946877277483015230764456834408698549555513555464209755286533239144188058995722677029392053593174466736739079172390912 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (/ (cbrt (- (* (* x x) (- x 1)) (* (- x 1) 1))) (pow (cbrt (- x 1)) 2)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (pow (exp 1/3) (log x))) #s(literal 0 binary64)) |
| 9 152× | lower-fma.f64 |
| 9 152× | lower-fma.f32 |
| 6 666× | lower-*.f64 |
| 6 666× | lower-*.f32 |
| 6 306× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 146 | 602 |
| 1 | 350 | 564 |
| 2 | 902 | 564 |
| 3 | 2613 | 561 |
| 4 | 5974 | 561 |
| 0 | 8120 | 528 |
| 0 | 6 | 16 |
| 0 | 10 | 16 |
| 1 | 43 | 16 |
| 2 | 282 | 16 |
| 3 | 3101 | 16 |
| 0 | 9092 | 16 |
| 0 | 431 | 3364 |
| 1 | 1189 | 3182 |
| 2 | 4292 | 3158 |
| 0 | 8211 | 3014 |
| 0 | 36 | 177 |
| 0 | 62 | 125 |
| 1 | 217 | 113 |
| 2 | 1455 | 113 |
| 0 | 8406 | 107 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 248 to 181 computations (27% saved)
Compiled 218 to 108 computations (50.5% saved)
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