
Time bar (total: 8.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 0 |
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 1 |
| 50% | 12.5% | 12.5% | 75% | 0% | 0% | 0% | 2 |
| 75% | 18.7% | 6.2% | 75% | 0% | 0% | 0% | 3 |
| 87.5% | 21.9% | 3.1% | 75% | 0% | 0% | 0% | 4 |
| 93.8% | 23.4% | 1.6% | 75% | 0% | 0% | 0% | 5 |
| 96.9% | 24.2% | 0.8% | 75% | 0% | 0% | 0% | 6 |
| 98.4% | 24.6% | 0.4% | 75% | 0% | 0% | 0% | 7 |
| 99.2% | 24.8% | 0.2% | 75% | 0% | 0% | 0% | 8 |
| 99.6% | 24.9% | 0.1% | 75% | 0% | 0% | 0% | 9 |
| 99.8% | 24.9% | 0% | 75% | 0% | 0% | 0% | 10 |
| 99.9% | 25% | 0% | 75% | 0% | 0% | 0% | 11 |
| 100% | 25% | 0% | 75% | 0% | 0% | 0% | 12 |
Compiled 15 to 11 computations (26.7% saved)
| 873.0ms | 6 370× | 1 | valid |
| 282.0ms | 1 609× | 2 | valid |
| 20.0ms | 277× | 0 | valid |
ival-cbrt: 291.0ms (32.3% of total)adjust: 219.0ms (24.3% of total)const: 123.0ms (13.7% of total)ival-add: 118.0ms (13.1% of total)ival-sub: 83.0ms (9.2% of total)ival->: 24.0ms (2.7% of total)ival-<: 18.0ms (2% of total)ival-and: 12.0ms (1.3% of total)exact: 7.0ms (0.8% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 253 | 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 | 253 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 253 | 3 |
| - | 0 | 0 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 253 | 1 | 2 |
| - | 0 | 0 | 0 |
| number | freq |
|---|---|
| 0 | 3 |
| 1 | 253 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 39.0ms | 364× | 1 | valid |
| 18.0ms | 124× | 2 | valid |
| 1.0ms | 24× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-cbrt: 16.0ms (39.9% of total)adjust: 10.0ms (25% of total)ival-add: 9.0ms (22.5% of total)ival-sub: 5.0ms (12.5% 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 |
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 |
|---|---|---|
| ▶ | 7.9% | (-.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)) |
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 | 0.5196076172213043 | (cbrt.f64 x) | |
| accuracy | 0.5218926269897464 | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 58.811707982611765 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 17.0ms | 182× | 1 | valid |
| 16.0ms | 62× | 2 | valid |
| 1.0ms | 12× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-cbrt: 13.0ms (54.5% of total)adjust: 5.0ms (21% of total)ival-add: 3.0ms (12.6% of total)ival-sub: 2.0ms (8.4% 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 | |
|---|---|---|---|---|
| 13.0ms | x | @ | inf | ((- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (+ x 1) (cbrt x)) |
| 7.0ms | 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 |
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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 10 | 16 |
| 1 | 43 | 16 |
| 2 | 282 | 16 |
| 3 | 3101 | 16 |
| 0 | 9092 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(cbrt.f64 x) |
| Outputs |
|---|
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Compiled 7 636 to 1 337 computations (82.5% saved)
23 alts after pruning (22 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 381 | 22 | 403 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 381 | 23 | 404 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 6.8% | (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))) |
| 6.6% | (-.f64 (/.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) (cbrt.f64 x)) | |
| 7.2% | (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) (cbrt.f64 x)) | |
| 6.4% | (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x)) | |
| 7.9% | (-.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)) | |
| 7.8% | (-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| 8.9% | (-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| ▶ | 7.8% | (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
| 6.9% | (-.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)) | |
| 8.8% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) | |
| 8.8% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) | |
| 7.8% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) | |
| 8.8% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| 7.0% | (-.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)))) | |
| 7.9% | (-.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)))) | |
| ✓ | 7.9% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 7.1% | (-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x)) | |
| 4.3% | (-.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)) |
| 4.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) | |
| 28.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (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))) | |
| ▶ | 28.0% | #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))) |
| ▶ | 47.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
Compiled 507 to 410 computations (19.1% saved)
| 1× | egg-herbie |
Found 19 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 | (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) | |
| cost-diff | 0 | (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) | |
| cost-diff | 0 | (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| cost-diff | 1472 | (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 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))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 200 |
| 0 | 62 | 191 |
| 1 | 87 | 191 |
| 2 | 127 | 189 |
| 3 | 200 | 189 |
| 4 | 366 | 189 |
| 5 | 834 | 189 |
| 6 | 2461 | 189 |
| 7 | 7161 | 189 |
| 0 | 8175 | 189 |
| 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 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
(cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 1 binary64) |
(cbrt.f64 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) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) |
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 1/3 binary64) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) |
#s(literal -1/9 binary64) |
(cbrt.f64 x) |
(*.f64 x x) |
(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 (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 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (cbrt.f64 x)) |
(cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) |
(cbrt.f64 (-.f64 x #s(literal -1 binary64))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 1 binary64) |
(cbrt.f64 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) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) |
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 1/3 binary64) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) |
#s(literal -1/9 binary64) |
(cbrt.f64 x) |
(*.f64 x x) |
(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 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.5186501465266303 | (cbrt.f64 (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.5196076172213043 | (cbrt.f64 x) | |
| accuracy | 32.112758637380786 | (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) | |
| accuracy | 59.26236374478258 | (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 | 0.5196076172213043 | (cbrt.f64 x) | |
| accuracy | 0.7384447416625755 | #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))) | |
| accuracy | 24.157223240431566 | (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 32.65173923862821 | (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) | |
| accuracy | 0.5196076172213043 | (cbrt.f64 x) | |
| accuracy | 0.5218926269897464 | (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) | |
| accuracy | 0.5234375 | (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) | |
| accuracy | 58.811707982611765 | (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| accuracy | 0.5196076172213043 | (cbrt.f64 x) | |
| accuracy | 58.811707982611765 | (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) | |
| accuracy | 58.91661294399136 | #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) | |
| accuracy | 0.1328125 | (/.f64 (/.f64 #s(literal 1 binary64) x) x) | |
| accuracy | 0.40625 | (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) | |
| accuracy | 1.6781335755674232 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) | |
| accuracy | 31.56431532313935 | (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
| 161.0ms | 182× | 1 | valid |
| 50.0ms | 62× | 2 | valid |
| 3.0ms | 12× | 0 | valid |
Compiled 183 to 36 computations (80.3% saved)
adjust: 41.0ms (26.9% of total)ival-cbrt: 23.0ms (15.1% of total)ival-mult: 21.0ms (13.8% of total)ival-add: 18.0ms (11.8% of total)ival-pow: 16.0ms (10.5% of total)const: 13.0ms (8.5% of total)ival-div: 7.0ms (4.6% of total)ival-sub: 7.0ms (4.6% of total)ival-sqrt: 4.0ms (2.6% of total)ival-neg: 2.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (patch (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (patch (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) (patch (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (patch (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ()) |
#s(alt #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))) (patch #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))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) (patch (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (patch (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (patch (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (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 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) (patch (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (patch (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (patch (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (patch (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (patch (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (patch (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (patch (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (patch (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) (patch (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/3 x)) (taylor 0 x) (#s(alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1/3 (* -1/9 x)))) (taylor 0 x) (#s(alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (taylor 0 x) (#s(alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cbrt x) (taylor 0 x) (#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) (patch (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) (patch (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) (patch (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) (patch (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) (taylor 0 x) (#s(alt (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) (patch (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (patch (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/3 x)) (taylor 0 x) (#s(alt (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (patch (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1/3 (* -1/9 x)))) (taylor 0 x) (#s(alt (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (patch (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.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 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (patch (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt #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))) (patch #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))) #<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 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) (taylor 0 x) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/9 (cbrt (/ 1 (pow x 5)))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) (patch (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) (patch (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) (patch (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) (patch (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/9 (cbrt x)) (taylor 0 x) (#s(alt (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (patch (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (taylor 0 x) (#s(alt (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (patch (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (taylor 0 x) (#s(alt (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (patch (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (taylor 0 x) (#s(alt (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (patch (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (pow x 4)) (taylor 0 x) (#s(alt (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (patch (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (pow x 4)) (taylor 0 x) (#s(alt (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (patch (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
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#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 | |
|---|---|---|---|---|
| 18.0ms | 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) (+ (* (sqrt x) (sqrt x)) 1) (- (cbrt (+ (* (sqrt x) (sqrt x)) 1)) (cbrt x)) (cbrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x) (- (cbrt (+ x 1)) (cbrt x)) (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (cbrt (pow x 4)) (+ (* (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))) |
| 12.0ms | 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) (+ (* (sqrt x) (sqrt x)) 1) (- (cbrt (+ (* (sqrt x) (sqrt x)) 1)) (cbrt x)) (cbrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x) (- (cbrt (+ x 1)) (cbrt x)) (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (cbrt (pow x 4)) (+ (* (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))) |
| 8.0ms | 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) (+ (* (sqrt x) (sqrt x)) 1) (- (cbrt (+ (* (sqrt x) (sqrt x)) 1)) (cbrt x)) (cbrt (+ (* (sqrt x) (sqrt x)) 1)) (sqrt x) (- (cbrt (+ x 1)) (cbrt x)) (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (cbrt (pow x 4)) (+ (* (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 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 459 | 3681 |
| 1 | 1252 | 3457 |
| 2 | 3860 | 3438 |
| 0 | 8212 | 3263 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
1 |
(+ 1 (* 1/3 x)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
1 |
(+ 1 (* 1/3 x)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* -1/9 (cbrt (/ 1 (pow x 5)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(* -1/9 (cbrt x)) |
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) |
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) |
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(- 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))) |
(/ 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) |
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)))))))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt 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)))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(* 1/3 (cbrt (pow x 4))) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(* 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)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (pow (sqrt -1) 2))) |
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x)))) |
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x)))) |
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x)))) |
(* -1 (* x (- (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1/3 (cbrt (/ 1 (* (pow x 5) (pow (sqrt -1) 4)))))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1 (/ (+ (* 1/9 (cbrt (/ x (pow (sqrt -1) 10)))) (* 1/3 (cbrt (/ (pow x 4) (pow (sqrt -1) 4))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (sqrt -1) 10)))) (* -5/81 (cbrt (/ (pow x 7) (pow (sqrt -1) 16))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (sqrt -1) 4))))) (pow x 3)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (cbrt (* x (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1/3 (cbrt (/ 1 (* (pow x 5) (pow (sqrt -1) 4)))))))) |
(* -1 (* x (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1 (/ (+ (* 1/9 (cbrt (/ x (pow (sqrt -1) 10)))) (* 1/3 (cbrt (/ (pow x 4) (pow (sqrt -1) 4))))) (pow x 3)))))) |
(* -1 (* x (+ (cbrt (/ (pow (sqrt -1) 2) (pow x 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (cbrt (/ (pow x 10) (pow (sqrt -1) 10)))) (* -5/81 (cbrt (/ (pow x 7) (pow (sqrt -1) 16))))) (pow x 3))) (* 1/3 (cbrt (/ (pow x 4) (pow (sqrt -1) 4))))) (pow x 3)))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 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)))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(* 1/3 (cbrt (pow x 4))) |
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(cbrt (pow x 4)) |
(* -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))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/3 x)) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/3 x)) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.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))) |
(* -1/9 (cbrt (/ 1 (pow x 5)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 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)) (* 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)) (* 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)) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) |
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) |
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) |
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) |
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) |
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) |
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) |
(cbrt (pow x 4)) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(cbrt (pow x 4)) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(cbrt (pow x 4)) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(cbrt (pow x 4)) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(- 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)))))))) |
(fma.f64 (fma.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)))) #s(literal -1/9 binary64) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 5/81 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))) |
-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))) |
(+ (cbrt -1) (* (pow x 2) (+ (* -1/9 (/ (pow x 2) (pow (cbrt -1) 5))) (* 1/3 (/ 1 (pow (cbrt -1) 2)))))) |
(fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) #s(literal -1/9 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x x) (cbrt.f64 #s(literal -1 binary64))) |
(+ (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)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) #s(literal 5/81 binary64) (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x x) (cbrt.f64 #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 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 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 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 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 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) #s(literal 5/81 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1/9 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* 1/3 (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 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 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 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) #s(literal 5/81 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1/9 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.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 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 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)) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
(* 1/3 (cbrt (pow x 4))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64)) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) (*.f64 x x)) |
(cbrt (pow x 4)) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(cbrt (pow x 4)) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(cbrt (pow x 4)) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(cbrt (pow x 4)) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(* 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 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 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 (+ (/ 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)))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 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)))) (+ (* 1/3 (* (/ 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))))))) |
(fma.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)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/3 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)))) (+ (* 1/3 (* (/ 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)))))))) |
(fma.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)))) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/3 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 x) |
(cbrt.f64 x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* -1/3 (cbrt (/ 1 (pow x 5)))))) |
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(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #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 (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 #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 (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)) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(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 5 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(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 5 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(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 5 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
(* 1/3 (cbrt (pow x 4))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64)) |
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 (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 5 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) (*.f64 x x)) |
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.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 5 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) (*.f64 x x)) |
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.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 5 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) (*.f64 x x)) |
(cbrt (pow x 4)) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(cbrt (pow x 4)) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(cbrt (pow x 4)) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(cbrt (pow x 4)) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* x (- (* (cbrt (/ 1 (pow x 2))) (/ 1 (cbrt -1))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (*.f64 (neg.f64 x) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 #s(literal -1 binary64)))) |
(* -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))))) |
(*.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 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 #s(literal -1 binary64))) (neg.f64 (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 #s(literal -1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)))) (pow.f64 x #s(literal 3 binary64)))) x) |
(* -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 (fma.f64 (neg.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 (/.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)))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))) x) |
(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 #s(literal -1/3 binary64) (*.f64 (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 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) x) |
(* -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 (fma.f64 (neg.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)))) (pow.f64 x #s(literal 3 binary64)))) x) |
(* -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 (fma.f64 (neg.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)))) (pow.f64 x #s(literal 3 binary64)))) x) |
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)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 160 |
| 0 | 62 | 143 |
| 1 | 220 | 135 |
| 2 | 1445 | 135 |
| 0 | 8846 | 127 |
| 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) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) |
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
(cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) |
(sqrt.f64 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) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x)) |
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) |
(cbrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(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 |
|---|
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Compiled 30 843 to 4 135 computations (86.6% saved)
47 alts after pruning (44 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 435 | 42 | 1 477 |
| Fresh | 15 | 2 | 17 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 453 | 47 | 1 500 |
| Status | Accuracy | Program |
|---|---|---|
| 7.9% | (fma.f64 (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) | |
| 7.9% | (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) | |
| 7.9% | (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 (pow.f64 x #s(literal 1/3 binary64)))) | |
| 6.7% | (/.f64 (fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (cbrt.f64 x) (*.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) | |
| 8.8% | (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| 8.8% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) | |
| 8.8% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| ✓ | 7.9% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| ▶ | 5.4% | (+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
| 28.2% | #s(approx (- (cbrt (+ (* (sqrt x) (sqrt 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 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x))) | |
| 47.0% | #s(approx (- (cbrt (+ (* (sqrt x) (sqrt x)) 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) | |
| 46.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) | |
| 43.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) | |
| 47.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) | |
| 13.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 1/9 binary64) (neg.f64 (pow.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) #s(literal 2 binary64)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)))))) | |
| ✓ | 28.0% | #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))) |
| 46.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (*.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64))) (*.f64 x x))) | |
| 66.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x) x)) | |
| ▶ | 66.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x) (sqrt.f64 x)) (sqrt.f64 x))) |
| ▶ | 95.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
| 95.9% | #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))) | |
| 26.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64))) (*.f64 x x))) | |
| 13.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)))) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 1/9 binary64) (neg.f64 (pow.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) #s(literal 2 binary64))))))) | |
| 45.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)))))) | |
| 95.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))))) | |
| 95.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))))) | |
| 95.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) | |
| 13.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/729 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (-.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64))))))))) | |
| 95.8% | #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))) | |
| 44.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) | |
| 95.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) | |
| 88.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) | |
| 66.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x))) | |
| 65.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (cbrt.f64 x)))) | |
| 56.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))) | |
| ▶ | 58.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64)))) |
| 66.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))) | |
| ▶ | 95.9% | #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))) |
| 95.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))) | |
| 59.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))) #s(literal 1/3 binary64))) | |
| 88.9% | #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))) | |
| 47.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))) #s(literal 1/3 binary64))) | |
| 47.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64))) | |
| 48.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) | |
| 47.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x))) #s(literal 1/3 binary64))) | |
| ✓ | 47.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
| 48.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(approx (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))))) |
Compiled 1 285 to 986 computations (23.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) (sqrt.f64 x)) | |
| cost-diff | 0 | (*.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64))) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64)))) | |
| cost-diff | 6720 | (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x) (sqrt.f64 x)) (sqrt.f64 x))) | |
| cost-diff | 192 | (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x) | |
| cost-diff | 1984 | (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x) (sqrt.f64 x)) (sqrt.f64 x)) | |
| cost-diff | 6720 | (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) | |
| cost-diff | 0 | (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (cbrt.f64 x) | |
| cost-diff | 0 | (+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (cbrt.f64 x) | |
| cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) | |
| cost-diff | 640 | (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 269 |
| 0 | 50 | 263 |
| 1 | 73 | 237 |
| 2 | 102 | 237 |
| 3 | 183 | 237 |
| 4 | 319 | 237 |
| 5 | 526 | 237 |
| 6 | 784 | 237 |
| 7 | 1249 | 229 |
| 8 | 1912 | 229 |
| 9 | 3121 | 229 |
| 10 | 6200 | 229 |
| 0 | 8046 | 224 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) |
#s(literal 1/3 binary64) |
(cbrt.f64 x) |
x |
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(cbrt.f64 x) |
x |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(cbrt.f64 x) |
x |
#s(literal 2 binary64) |
#s(literal 1/3 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x) (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x) (sqrt.f64 x)) |
(/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x) |
(fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 x) x) |
(cbrt.f64 x) |
x |
#s(literal 1/3 binary64) |
(*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)) |
#s(literal 1/9 binary64) |
(sqrt.f64 x) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64))) |
(/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) (sqrt.f64 x)) |
(fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 x) x) |
(cbrt.f64 x) |
x |
#s(literal 1/3 binary64) |
(*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)) |
#s(literal 1/9 binary64) |
(sqrt.f64 x) |
(pow.f64 x #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) |
#s(literal 1/3 binary64) |
(cbrt.f64 x) |
x |
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(cbrt.f64 x) |
x |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(cbrt.f64 x) |
x |
#s(literal 2 binary64) |
#s(literal 1/3 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x) (sqrt.f64 x)) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)) x) (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)) x) (cbrt.f64 x)) |
(/.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x) (sqrt.f64 x)) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x) |
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) x) |
(cbrt.f64 x) |
x |
#s(literal 1/3 binary64) |
(*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)) |
#s(literal 1/9 binary64) |
(sqrt.f64 x) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (cbrt.f64 x)) (sqrt.f64 x)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (cbrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (cbrt.f64 x)) (sqrt.f64 x)) |
(fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) x) |
(cbrt.f64 x) |
x |
#s(literal 1/3 binary64) |
(*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)) |
#s(literal 1/9 binary64) |
(sqrt.f64 x) |
(pow.f64 x #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.5196076172213043 | (cbrt.f64 x) | |
| accuracy | 1.7455527940836286 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64)))) | |
| accuracy | 18.551426479740456 | (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) (sqrt.f64 x)) | |
| accuracy | 23.791814083022317 | (*.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64))) | |
| accuracy | 0.417862862573404 | (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) | |
| accuracy | 0.5196076172213043 | (cbrt.f64 x) | |
| accuracy | 1.7455527940836286 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x) (sqrt.f64 x)) (sqrt.f64 x))) | |
| accuracy | 18.919043420919966 | (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x) | |
| accuracy | 0.40625 | (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) | |
| accuracy | 0.4655075195368841 | (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) | |
| accuracy | 0.5196076172213043 | (cbrt.f64 x) | |
| accuracy | 1.6781335755674232 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) | |
| accuracy | 0.01953125 | (+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) | |
| accuracy | 0.5196076172213043 | (cbrt.f64 x) | |
| accuracy | 58.91661294399136 | #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) | |
| accuracy | 0.35775375976844204 | (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) | |
| accuracy | 0.41634750976844204 | (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) | |
| accuracy | 0.5196076172213043 | (cbrt.f64 x) | |
| accuracy | 1.6781335755674232 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
| 104.0ms | 182× | 1 | valid |
| 99.0ms | 62× | 2 | valid |
| 3.0ms | 12× | 0 | valid |
Compiled 220 to 29 computations (86.8% saved)
ival-sqrt: 37.0ms (21.9% of total)ival-add: 37.0ms (21.9% of total)ival-div: 25.0ms (14.8% of total)adjust: 17.0ms (10.1% of total)ival-mult: 16.0ms (9.5% of total)ival-cbrt: 10.0ms (5.9% of total)const: 10.0ms (5.9% of total)ival-pow: 8.0ms (4.7% of total)ival-pow2: 6.0ms (3.6% of total)ival-sub: 3.0ms (1.8% 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 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (patch (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ()) |
#s(alt (+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) (patch (+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) (patch (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x) (patch (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x) (sqrt.f64 x)) (sqrt.f64 x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x) (sqrt.f64 x)) (sqrt.f64 x))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64)))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64))) (patch (*.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) (sqrt.f64 x)) (patch (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 x))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (patch (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 x))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (patch (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 x))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (patch (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 x))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (patch (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) #<representation binary64>) () ())) ()) |
#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 (+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) (patch (+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (cbrt x) (* 1/3 x))) (taylor 0 x) (#s(alt (+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) (patch (+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (cbrt x) (* x (+ 1/3 (* -1/9 x))))) (taylor 0 x) (#s(alt (+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) (patch (+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (cbrt x) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))) (taylor 0 x) (#s(alt (+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) (patch (+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/3 x)) (taylor 0 x) (#s(alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1/3 (* -1/9 x)))) (taylor 0 x) (#s(alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (taylor 0 x) (#s(alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (cbrt (/ 1 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | x | @ | -inf | ((/ (/ 1/3 (cbrt x)) (cbrt x)) (- (cbrt (+ x 1)) (cbrt x)) (/ 1/3 (cbrt x)) (cbrt x) (+ (cbrt x) (cbrt (+ x 1))) (cbrt (+ x 1)) (* (/ 1 (pow (cbrt x) 2)) 1/3) (- (cbrt (+ x 1)) (cbrt x)) (/ 1 (pow (cbrt x) 2)) (pow (cbrt x) 2) (+ (* (* (cbrt x) x) 1/3) (* 1/9 (cbrt x))) (/ (/ (/ (+ (* (* (cbrt x) x) 1/3) (* 1/9 (cbrt x))) x) (sqrt x)) (sqrt x)) (/ (+ (* (* (cbrt x) x) 1/3) (* 1/9 (cbrt x))) x) (- (cbrt (+ x 1)) (cbrt x)) (- (cbrt (+ x 1)) (cbrt x)) (* (/ (+ (* (* (cbrt x) x) 1/3) (* 1/9 (cbrt x))) (sqrt x)) (pow x -3/2)) (/ (+ (* (* (cbrt x) x) 1/3) (* 1/9 (cbrt x))) (sqrt x))) |
| 16.0ms | x | @ | 0 | ((/ (/ 1/3 (cbrt x)) (cbrt x)) (- (cbrt (+ x 1)) (cbrt x)) (/ 1/3 (cbrt x)) (cbrt x) (+ (cbrt x) (cbrt (+ x 1))) (cbrt (+ x 1)) (* (/ 1 (pow (cbrt x) 2)) 1/3) (- (cbrt (+ x 1)) (cbrt x)) (/ 1 (pow (cbrt x) 2)) (pow (cbrt x) 2) (+ (* (* (cbrt x) x) 1/3) (* 1/9 (cbrt x))) (/ (/ (/ (+ (* (* (cbrt x) x) 1/3) (* 1/9 (cbrt x))) x) (sqrt x)) (sqrt x)) (/ (+ (* (* (cbrt x) x) 1/3) (* 1/9 (cbrt x))) x) (- (cbrt (+ x 1)) (cbrt x)) (- (cbrt (+ x 1)) (cbrt x)) (* (/ (+ (* (* (cbrt x) x) 1/3) (* 1/9 (cbrt x))) (sqrt x)) (pow x -3/2)) (/ (+ (* (* (cbrt x) x) 1/3) (* 1/9 (cbrt x))) (sqrt x))) |
| 15.0ms | x | @ | inf | ((/ (/ 1/3 (cbrt x)) (cbrt x)) (- (cbrt (+ x 1)) (cbrt x)) (/ 1/3 (cbrt x)) (cbrt x) (+ (cbrt x) (cbrt (+ x 1))) (cbrt (+ x 1)) (* (/ 1 (pow (cbrt x) 2)) 1/3) (- (cbrt (+ x 1)) (cbrt x)) (/ 1 (pow (cbrt x) 2)) (pow (cbrt x) 2) (+ (* (* (cbrt x) x) 1/3) (* 1/9 (cbrt x))) (/ (/ (/ (+ (* (* (cbrt x) x) 1/3) (* 1/9 (cbrt x))) x) (sqrt x)) (sqrt x)) (/ (+ (* (* (cbrt x) x) 1/3) (* 1/9 (cbrt x))) x) (- (cbrt (+ x 1)) (cbrt x)) (- (cbrt (+ x 1)) (cbrt x)) (* (/ (+ (* (* (cbrt x) x) 1/3) (* 1/9 (cbrt x))) (sqrt x)) (pow x -3/2)) (/ (+ (* (* (cbrt x) x) 1/3) (* 1/9 (cbrt x))) (sqrt x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 243 | 3261 |
| 1 | 624 | 3007 |
| 2 | 1723 | 2988 |
| 3 | 4352 | 2982 |
| 0 | 8537 | 2832 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(+ 1 (cbrt x)) |
(+ 1 (+ (cbrt x) (* 1/3 x))) |
(+ 1 (+ (cbrt x) (* x (+ 1/3 (* -1/9 x))))) |
(+ 1 (+ (cbrt x) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))) |
1 |
(+ 1 (* 1/3 x)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(* 1/9 (cbrt x)) |
(+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) |
(+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) |
(+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) |
(* 1/9 (cbrt (/ 1 (pow x 5)))) |
(/ (+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(* 1/9 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) x) |
(/ (+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) x) |
(/ (+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) x) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* 1/9 (cbrt (/ 1 (pow x 5)))) |
(/ (+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(* 1/9 (pow (/ 1 x) 1/6)) |
(/ (+ (* 1/9 (pow (* 1 (pow x 5)) 1/6)) (* 1/3 (pow (* 1 (pow x 11)) 1/6))) x) |
(/ (+ (* 1/9 (pow (* 1 (pow x 5)) 1/6)) (* 1/3 (pow (* 1 (pow x 11)) 1/6))) x) |
(/ (+ (* 1/9 (pow (* 1 (pow x 5)) 1/6)) (* 1/3 (pow (* 1 (pow x 11)) 1/6))) x) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(* 2 (cbrt x)) |
(* x (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2)))))) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2))))))) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2)))))))) |
(cbrt x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(* 1/3 (cbrt (pow x 4))) |
(* (pow x 2) (+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(* 1/3 (cbrt x)) |
(* x (+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* x (+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* x (+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(* 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)))) |
(+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(* 1/3 (pow (* 1 (pow x 5)) 1/6)) |
(* (pow x 2) (+ (* 1/9 (pow (/ 1 (pow x 13)) 1/6)) (* 1/3 (pow (/ 1 (pow x 7)) 1/6)))) |
(* (pow x 2) (+ (* 1/9 (pow (/ 1 (pow x 13)) 1/6)) (* 1/3 (pow (/ 1 (pow x 7)) 1/6)))) |
(* (pow x 2) (+ (* 1/9 (pow (/ 1 (pow x 13)) 1/6)) (* 1/3 (pow (/ 1 (pow x 7)) 1/6)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* 1/3 (cbrt (/ 1 x))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -2 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* 2 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* 2 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* 2 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(* -1/3 (* (cbrt (pow x 4)) (cbrt -1))) |
(* (pow x 2) (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))))) |
(* (pow x 2) (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))))) |
(* (pow x 2) (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ (cbrt -1) (pow (sqrt -1) 2)))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (/ (cbrt -1) (pow (sqrt -1) 2)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ (cbrt -1) (pow (sqrt -1) 2))))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (/ (cbrt -1) (pow (sqrt -1) 2)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ (cbrt -1) (pow (sqrt -1) 2))))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (/ (cbrt -1) (pow (sqrt -1) 2)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ (cbrt -1) (pow (sqrt -1) 2))))) |
(* -1/3 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* -1 (* x (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* -1 (* x (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(* 1/3 (* (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))) (cbrt -1))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))) |
(* -1/3 (* (pow (* -1 (pow x 5)) 1/6) (/ (cbrt -1) (sqrt -1)))) |
(* (pow x 2) (+ (* -1/3 (* (pow (/ -1 (pow x 7)) 1/6) (/ (cbrt -1) (sqrt -1)))) (* -1/9 (* (pow (/ -1 (pow x 13)) 1/6) (/ (cbrt -1) (sqrt -1)))))) |
(* (pow x 2) (+ (* -1/3 (* (pow (/ -1 (pow x 7)) 1/6) (/ (cbrt -1) (sqrt -1)))) (* -1/9 (* (pow (/ -1 (pow x 13)) 1/6) (/ (cbrt -1) (sqrt -1)))))) |
(* (pow x 2) (+ (* -1/3 (* (pow (/ -1 (pow x 7)) 1/6) (/ (cbrt -1) (sqrt -1)))) (* -1/9 (* (pow (/ -1 (pow x 13)) 1/6) (/ (cbrt -1) (sqrt -1)))))) |
| Outputs |
|---|
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(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 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)) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(+ 1 (cbrt x)) |
(+.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(+ 1 (+ (cbrt x) (* 1/3 x))) |
(fma.f64 x #s(literal 1/3 binary64) (+.f64 (cbrt.f64 x) #s(literal 1 binary64))) |
(+ 1 (+ (cbrt x) (* x (+ 1/3 (* -1/9 x))))) |
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (+.f64 (cbrt.f64 x) #s(literal 1 binary64))) |
(+ 1 (+ (cbrt x) (* 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 (+.f64 (cbrt.f64 x) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/3 x)) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x #s(literal 1 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(cbrt (pow x 2)) |
(cbrt.f64 (*.f64 x x)) |
(cbrt (pow x 2)) |
(cbrt.f64 (*.f64 x x)) |
(cbrt (pow x 2)) |
(cbrt.f64 (*.f64 x x)) |
(cbrt (pow x 2)) |
(cbrt.f64 (*.f64 x x)) |
(* 1/9 (cbrt x)) |
(*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)) |
(+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) |
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) |
(+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) |
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) |
(+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) |
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) |
(* 1/9 (cbrt (/ 1 (pow x 5)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/9 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)) (* 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)) (* 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 (/ 1 (pow x 2)))) |
(*.f64 #s(literal 1/9 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(/ (+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) 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))) x) |
(/ (+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) 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))) x) |
(/ (+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) 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))) x) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(* 1/9 (cbrt (/ 1 (pow x 5)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/9 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)) (* 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)) (* 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 (pow (/ 1 x) 1/6)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) #s(literal 1/9 binary64)) |
(/ (+ (* 1/9 (pow (* 1 (pow x 5)) 1/6)) (* 1/3 (pow (* 1 (pow x 11)) 1/6))) x) |
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 11 binary64)) #s(literal 1/6 binary64)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64)) #s(literal 1/9 binary64))) x) |
(/ (+ (* 1/9 (pow (* 1 (pow x 5)) 1/6)) (* 1/3 (pow (* 1 (pow x 11)) 1/6))) x) |
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 11 binary64)) #s(literal 1/6 binary64)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64)) #s(literal 1/9 binary64))) x) |
(/ (+ (* 1/9 (pow (* 1 (pow x 5)) 1/6)) (* 1/3 (pow (* 1 (pow x 11)) 1/6))) x) |
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 11 binary64)) #s(literal 1/6 binary64)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64)) #s(literal 1/9 binary64))) x) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) |
(* 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 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.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 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (*.f64 x x)) |
(* 1/3 (cbrt (/ 1 x))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 x))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 x))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 x))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(* 2 (cbrt x)) |
(*.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(* x (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64))) x) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2))))))) |
(*.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) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)))) x) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2)))))))) |
(*.f64 (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) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64))))) 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) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) |
(* 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 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.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 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 #s(literal 5/81 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (*.f64 x x)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(cbrt (/ 1 (pow x 2))) |
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(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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 (/.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 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (cbrt.f64 (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 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 7 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 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 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(/.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(/.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(/.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(/.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(cbrt.f64 (*.f64 x x)) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(cbrt.f64 (*.f64 x x)) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(cbrt.f64 (*.f64 x x)) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(cbrt.f64 (*.f64 x x)) |
(* -1/3 (* (cbrt (pow x 4)) (cbrt -1))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 2) (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))))) |
(*.f64 (*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) x) x) (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64)))) |
(* (pow x 2) (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))))) |
(*.f64 (*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) x) x) (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64)))) |
(* (pow x 2) (+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))))) |
(*.f64 (*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) x) x) (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ (cbrt -1) (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (/ (cbrt -1) (pow (sqrt -1) 2)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ (cbrt -1) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64))) (cbrt.f64 #s(literal -1 binary64))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (/ (cbrt -1) (pow (sqrt -1) 2)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ (cbrt -1) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64))) (cbrt.f64 #s(literal -1 binary64))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (/ (cbrt -1) (pow (sqrt -1) 2)))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ (cbrt -1) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64))) (cbrt.f64 #s(literal -1 binary64))) |
(* -1/3 (* (cbrt x) (cbrt -1))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x)) |
(* -1 (* x (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) x) (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64)))) |
(* -1 (* x (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) x) (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64)))) |
(* -1 (* x (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) x) (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.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 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (cbrt.f64 (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 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 7 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 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))) (/ 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 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (cbrt.f64 (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 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 7 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 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))) (cbrt -1))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64))) (cbrt.f64 #s(literal -1 binary64))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64))) (cbrt.f64 #s(literal -1 binary64))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64))) (cbrt.f64 #s(literal -1 binary64))) |
(* -1/3 (* (pow (* -1 (pow x 5)) 1/6) (/ (cbrt -1) (sqrt -1)))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ (* -1/3 (* (pow (/ -1 (pow x 7)) 1/6) (/ (cbrt -1) (sqrt -1)))) (* -1/9 (* (pow (/ -1 (pow x 13)) 1/6) (/ (cbrt -1) (sqrt -1)))))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 13 binary64))) #s(literal 1/6 binary64)) #s(literal -1/9 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/6 binary64)) #s(literal -1/3 binary64))) (/.f64 (cbrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1/3 (* (pow (/ -1 (pow x 7)) 1/6) (/ (cbrt -1) (sqrt -1)))) (* -1/9 (* (pow (/ -1 (pow x 13)) 1/6) (/ (cbrt -1) (sqrt -1)))))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 13 binary64))) #s(literal 1/6 binary64)) #s(literal -1/9 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/6 binary64)) #s(literal -1/3 binary64))) (/.f64 (cbrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1/3 (* (pow (/ -1 (pow x 7)) 1/6) (/ (cbrt -1) (sqrt -1)))) (* -1/9 (* (pow (/ -1 (pow x 13)) 1/6) (/ (cbrt -1) (sqrt -1)))))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 13 binary64))) #s(literal 1/6 binary64)) #s(literal -1/9 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/6 binary64)) #s(literal -1/3 binary64))) (/.f64 (cbrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 198 |
| 0 | 50 | 192 |
| 1 | 182 | 162 |
| 2 | 1099 | 162 |
| 0 | 8441 | 149 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) |
(cbrt.f64 x) |
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x) (sqrt.f64 x)) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64))) |
(/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) (sqrt.f64 x)) |
| Outputs |
|---|
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Compiled 31 105 to 3 766 computations (87.9% saved)
61 alts after pruning (57 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 382 | 33 | 1 415 |
| Fresh | 15 | 24 | 39 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 401 | 61 | 1 462 |
| Status | Accuracy | Program |
|---|---|---|
| 7.9% | (fma.f64 (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) | |
| 7.9% | (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) | |
| 7.9% | (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 (pow.f64 x #s(literal 1/3 binary64)))) | |
| 6.7% | (/.f64 (fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (cbrt.f64 x) (*.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) | |
| 8.8% | (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| 8.8% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) | |
| 8.8% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| ✓ | 7.9% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| ▶ | 5.4% | (+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
| ✓ | 5.4% | (+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
| 28.2% | #s(approx (- (cbrt (+ (* (sqrt x) (sqrt 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 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x))) | |
| 47.0% | #s(approx (- (cbrt (+ (* (sqrt x) (sqrt x)) 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) | |
| 46.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) | |
| 43.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) | |
| 47.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) | |
| 13.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 1/9 binary64) (neg.f64 (pow.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) #s(literal 2 binary64)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)))))) | |
| ✓ | 28.0% | #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))) |
| 46.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (*.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64))) (*.f64 x x))) | |
| 66.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64)) (cbrt.f64 x)) (/.f64 (*.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (neg.f64 (/.f64 (*.f64 #s(literal 1/81 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))))) x) (sqrt.f64 x)) (sqrt.f64 x))) | |
| 96.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (*.f64 (/.f64 (cbrt.f64 x) x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))) | |
| 56.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x)))) | |
| 66.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (neg.f64 x)) (neg.f64 x))) | |
| 96.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(approx (/ (+ (* (* (cbrt x) x) 1/3) (* 1/9 (cbrt x))) x) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64))) (sqrt.f64 x)) (sqrt.f64 x))) | |
| 95.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) (cbrt.f64 x))) | |
| 95.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))) | |
| 66.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (sqrt.f64 x)))) | |
| 45.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (*.f64 x x))) | |
| 96.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))))) | |
| ▶ | 96.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) x)) |
| 95.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (/ 1/3 (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) (cbrt.f64 x))) | |
| 26.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64))) (*.f64 x x))) | |
| 13.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)))) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 1/9 binary64) (neg.f64 (pow.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) #s(literal 2 binary64))))))) | |
| 45.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))) | |
| 96.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x))))) | |
| 95.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) | |
| ▶ | 95.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
| ▶ | 66.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) x))) |
| 13.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/729 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (-.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64))))))))) | |
| 95.8% | #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))) | |
| 67.6% | #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))) | |
| 44.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) | |
| 88.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64))) | |
| 95.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) | |
| 88.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) | |
| 96.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)))) | |
| 96.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) (pow.f64 x #s(literal 1/4 binary64))))) | |
| 66.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))) | |
| 58.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))) | |
| 66.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x))) | |
| 46.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) | |
| 96.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) | |
| 96.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 x) x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x))) | |
| 95.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) #s(literal 2 binary64))) #s(literal 1/3 binary64))) | |
| 88.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))) | |
| 88.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) | |
| 88.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)))) #s(literal 1/3 binary64))) | |
| 47.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal 1/3 binary64))) | |
| 45.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) | |
| 88.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64))) | |
| ✓ | 47.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
| ▶ | 48.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(approx (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))))) |
Compiled 1 730 to 1 313 computations (24.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) | |
| cost-diff | 0 | (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(approx (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))))) | |
| cost-diff | 0 | (cbrt.f64 x) | |
| cost-diff | 0 | (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) x) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) x))) | |
| cost-diff | 896 | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) x)) | |
| cost-diff | 0 | #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) | |
| cost-diff | 64 | (pow.f64 x #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) | |
| cost-diff | 0 | (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) x) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) x)) | |
| cost-diff | 192 | (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 311 |
| 0 | 73 | 303 |
| 1 | 116 | 303 |
| 2 | 193 | 303 |
| 3 | 395 | 303 |
| 4 | 1027 | 297 |
| 5 | 2959 | 297 |
| 6 | 7142 | 297 |
| 0 | 8120 | 290 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) x)) |
(/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) x) |
(*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) |
(cbrt.f64 x) |
x |
(/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1/9 binary64) |
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(pow.f64 x #s(literal 1/3 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) x)) |
#s(literal -1 binary64) |
(*.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) x) |
(/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) |
(neg.f64 x) |
x |
(*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
(cbrt.f64 x) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1/9 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
#s(literal 1/3 binary64) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(cbrt.f64 x) |
x |
#s(literal 2 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(approx (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))))) |
#s(approx (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
#s(literal 1 binary64) |
(pow.f64 x #s(literal 5 binary64)) |
x |
#s(literal 5 binary64) |
#s(literal -1/9 binary64) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
#s(literal 1/3 binary64) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 x) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)))) |
(/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) x) |
(*.f64 (/.f64 (cbrt.f64 x) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64))) |
(*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) (cbrt.f64 x)) |
(cbrt.f64 x) |
x |
(/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1/9 binary64) |
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(pow.f64 x #s(literal 1/3 binary64)) |
(cbrt.f64 x) |
x |
#s(literal 1/3 binary64) |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 x) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) x)) |
(*.f64 (/.f64 (cbrt.f64 x) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64))) |
#s(literal -1 binary64) |
(*.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) x) |
(/.f64 (*.f64 (/.f64 x (cbrt.f64 x)) x) (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/9 binary64))) |
(/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) |
(/.f64 (/.f64 x (cbrt.f64 x)) (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/9 binary64))) |
(neg.f64 x) |
x |
(*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (cbrt.f64 x)) |
(cbrt.f64 x) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1/9 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
#s(literal 1/3 binary64) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(cbrt.f64 x) |
x |
#s(literal 2 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(approx (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))))) |
#s(approx (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
#s(literal 1 binary64) |
(pow.f64 x #s(literal 5 binary64)) |
x |
#s(literal 5 binary64) |
#s(literal -1/9 binary64) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
#s(literal 1/3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.4657757936760436 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) | |
| accuracy | 0.7384447416625755 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(approx (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))))) | |
| accuracy | 20.15243882943779 | (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) | |
| accuracy | 31.56431532313935 | (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| accuracy | 0.39681625976844204 | (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) | |
| accuracy | 0.4655075195368841 | (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) | |
| accuracy | 0.5196076172213043 | (cbrt.f64 x) | |
| accuracy | 1.6781335755674232 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) | |
| accuracy | 0.34375 | (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) | |
| accuracy | 0.5196076172213043 | (cbrt.f64 x) | |
| accuracy | 1.7455527940836286 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) x))) | |
| accuracy | 18.902739289266382 | (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) | |
| accuracy | 0.01953125 | (+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) | |
| accuracy | 5.0425645704953315 | (pow.f64 x #s(literal 1/3 binary64)) | |
| accuracy | 58.91661294399136 | #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) | |
| accuracy | 0.34375 | (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) | |
| accuracy | 0.3671875 | (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) | |
| accuracy | 0.5196076172213043 | (cbrt.f64 x) | |
| accuracy | 1.7455527940836286 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) x)) |
| 270.0ms | 182× | 1 | valid |
| 92.0ms | 62× | 2 | valid |
| 12.0ms | 12× | 0 | valid |
Compiled 235 to 43 computations (81.7% saved)
ival-cbrt: 147.0ms (49.4% of total)adjust: 42.0ms (14.1% of total)ival-mult: 27.0ms (9.1% of total)ival-div: 26.0ms (8.7% of total)const: 22.0ms (7.4% of total)ival-add: 13.0ms (4.4% of total)ival-pow: 8.0ms (2.7% of total)ival-pow2: 6.0ms (2% of total)ival-sub: 3.0ms (1% of total)exact: 1.0ms (0.3% of total)ival-neg: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) (patch (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) x)) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) x) (patch (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) (patch (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 1/3 binary64)) (patch (pow.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) (patch (+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) x))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) x) (patch (*.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) x) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 x) (patch (cbrt.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(approx (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))))) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(approx (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))) (patch #s(approx (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) (patch (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (patch (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (patch (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) #<representation binary64>) () ()) |
#s(alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) (patch (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/9 (* 1/3 x)) x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) (patch (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/9 (* 1/3 x)) x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) (patch (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/9 (* 1/3 x)) x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) (patch (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) x)) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* 1/3 x)) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) x)) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) (taylor 0 x) (#s(alt #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) x)) (patch #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/9 (cbrt (/ 1 (pow x 5)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) x) (patch (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) x) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))) (patch #s(approx (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (cbrt (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) (patch (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) (patch (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) (patch (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) (patch (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (patch (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (patch (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (patch (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (taylor -inf x) (#s(alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (patch (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/3 (* 1/9 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/3 (* 1/9 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/3 (* 1/9 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (cbrt (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (patch (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cbrt (/ 1 (pow x 4))) (* -3 (cbrt (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (patch (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (cbrt (/ 1 x))) (* -1 (/ (+ (* -1 (cbrt (/ 1 x))) (* 1/3 (cbrt (/ 1 (pow x 4))))) x))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (patch (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (cbrt (/ 1 x))) (* -1 (/ (+ (* -1 (cbrt (/ 1 x))) (* -1 (/ (+ (* -1/3 (cbrt (/ 1 x))) (* 1/9 (cbrt (/ 1 (pow x 4))))) x))) x))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (patch (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (/ 1 (pow x 2))) (taylor -inf x) (#s(alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (/ 1 (pow x 2))) (taylor -inf x) (#s(alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (/ 1 (pow x 2))) (taylor -inf x) (#s(alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (cbrt (/ 1 (pow x 2))) (taylor -inf x) (#s(alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (patch (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 96.0ms | x | @ | 0 | ((/ (+ (* x 1/3) 1/9) x) (- (cbrt (+ x 1)) (cbrt x)) (/ (* (cbrt x) (/ (+ (* x 1/3) 1/9) x)) x) (* (cbrt x) (/ (+ (* x 1/3) 1/9) x)) (pow x 1/3) (+ (pow x 1/3) (cbrt (+ x 1))) (cbrt (+ x 1)) (/ -1 (* (/ (neg x) (* (cbrt x) (+ (* x 1/3) 1/9))) x)) (- (cbrt (+ x 1)) (cbrt x)) (* (/ (neg x) (* (cbrt x) (+ (* x 1/3) 1/9))) x) (neg x) (- (cbrt (+ x 1)) (cbrt x)) (/ 1/3 (pow (cbrt x) 2)) (pow (cbrt x) 2) (cbrt x) (- (cbrt (+ x 1)) (cbrt x)) (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (+ (* (cbrt (/ 1 (pow x 5))) -1/9) (* (cbrt (/ 1 (* x x))) 1/3)) (cbrt (/ 1 (pow x 5))) (+ (* x 1/3) 1/9) (/ (neg x) (* (cbrt x) (+ (* x 1/3) 1/9))) (cbrt (/ 1 (* x x))) (/ 1 (* x x))) |
| 12.0ms | x | @ | -inf | ((/ (+ (* x 1/3) 1/9) x) (- (cbrt (+ x 1)) (cbrt x)) (/ (* (cbrt x) (/ (+ (* x 1/3) 1/9) x)) x) (* (cbrt x) (/ (+ (* x 1/3) 1/9) x)) (pow x 1/3) (+ (pow x 1/3) (cbrt (+ x 1))) (cbrt (+ x 1)) (/ -1 (* (/ (neg x) (* (cbrt x) (+ (* x 1/3) 1/9))) x)) (- (cbrt (+ x 1)) (cbrt x)) (* (/ (neg x) (* (cbrt x) (+ (* x 1/3) 1/9))) x) (neg x) (- (cbrt (+ x 1)) (cbrt x)) (/ 1/3 (pow (cbrt x) 2)) (pow (cbrt x) 2) (cbrt x) (- (cbrt (+ x 1)) (cbrt x)) (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (+ (* (cbrt (/ 1 (pow x 5))) -1/9) (* (cbrt (/ 1 (* x x))) 1/3)) (cbrt (/ 1 (pow x 5))) (+ (* x 1/3) 1/9) (/ (neg x) (* (cbrt x) (+ (* x 1/3) 1/9))) (cbrt (/ 1 (* x x))) (/ 1 (* x x))) |
| 7.0ms | x | @ | inf | ((/ (+ (* x 1/3) 1/9) x) (- (cbrt (+ x 1)) (cbrt x)) (/ (* (cbrt x) (/ (+ (* x 1/3) 1/9) x)) x) (* (cbrt x) (/ (+ (* x 1/3) 1/9) x)) (pow x 1/3) (+ (pow x 1/3) (cbrt (+ x 1))) (cbrt (+ x 1)) (/ -1 (* (/ (neg x) (* (cbrt x) (+ (* x 1/3) 1/9))) x)) (- (cbrt (+ x 1)) (cbrt x)) (* (/ (neg x) (* (cbrt x) (+ (* x 1/3) 1/9))) x) (neg x) (- (cbrt (+ x 1)) (cbrt x)) (/ 1/3 (pow (cbrt x) 2)) (pow (cbrt x) 2) (cbrt x) (- (cbrt (+ x 1)) (cbrt x)) (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (+ (* (cbrt (/ 1 (pow x 5))) -1/9) (* (cbrt (/ 1 (* x x))) 1/3)) (cbrt (/ 1 (pow x 5))) (+ (* x 1/3) 1/9) (/ (neg x) (* (cbrt x) (+ (* x 1/3) 1/9))) (cbrt (/ 1 (* x x))) (/ 1 (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 288 | 3658 |
| 1 | 763 | 3494 |
| 2 | 2069 | 3481 |
| 3 | 4961 | 3466 |
| 0 | 8337 | 3270 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/9 x) |
(/ (+ 1/9 (* 1/3 x)) x) |
(/ (+ 1/9 (* 1/3 x)) x) |
(/ (+ 1/9 (* 1/3 x)) x) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* 1/9 (cbrt (/ 1 (pow x 5)))) |
(/ (+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(* 1/9 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) x) |
(/ (+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) x) |
(/ (+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(+ 1 (cbrt x)) |
(+ 1 (+ (cbrt x) (* 1/3 x))) |
(+ 1 (+ (cbrt x) (* x (+ 1/3 (* -1/9 x))))) |
(+ 1 (+ (cbrt x) (* x (+ 1/3 (* x (- (* 5/81 x) 1/9)))))) |
1 |
(+ 1 (* 1/3 x)) |
(+ 1 (* x (+ 1/3 (* -1/9 x)))) |
(+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) |
(* 1/9 (cbrt (/ 1 (pow x 5)))) |
(/ (+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(- 1 (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)) |
(* -9 (cbrt (pow x 5))) |
(* x (+ (* -9 (cbrt (pow x 2))) (* 27 (cbrt (pow x 5))))) |
(* x (+ (* -9 (cbrt (pow x 2))) (* x (+ (* -81 (cbrt (pow x 5))) (* 27 (cbrt (pow x 2))))))) |
(* x (+ (* -9 (cbrt (pow x 2))) (* x (+ (* 27 (cbrt (pow x 2))) (* x (+ (* -81 (cbrt (pow x 2))) (* 243 (cbrt (pow x 5))))))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(- 1 (cbrt x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(* -1/9 (cbrt (/ 1 (pow x 5)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(* -1/9 (cbrt (/ 1 (pow x 5)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
1/9 |
(+ 1/9 (* 1/3 x)) |
(+ 1/9 (* 1/3 x)) |
(+ 1/9 (* 1/3 x)) |
(* -9 (cbrt (pow x 2))) |
(+ (* -9 (cbrt (pow x 2))) (* 27 (cbrt (pow x 5)))) |
(+ (* -9 (cbrt (pow x 2))) (* x (+ (* -81 (cbrt (pow x 5))) (* 27 (cbrt (pow x 2)))))) |
(+ (* -9 (cbrt (pow x 2))) (* x (+ (* 27 (cbrt (pow x 2))) (* x (+ (* -81 (cbrt (pow x 2))) (* 243 (cbrt (pow x 5)))))))) |
(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 |
(+ 1/3 (* 1/9 (/ 1 x))) |
(+ 1/3 (* 1/9 (/ 1 x))) |
(+ 1/3 (* 1/9 (/ 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)))) |
(+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(* 1/3 (cbrt x)) |
(* x (+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* x (+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(* x (+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(* 2 (cbrt x)) |
(* x (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2)))))) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2))))))) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2)))))))) |
(cbrt x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(* -3 (cbrt (pow x 2))) |
(* x (+ (cbrt (/ 1 (pow x 4))) (* -3 (cbrt (/ 1 x))))) |
(* x (+ (cbrt (/ 1 (pow x 4))) (+ (* -3 (cbrt (/ 1 x))) (* -1/3 (cbrt (/ 1 (pow x 7))))))) |
(* x (+ (cbrt (/ 1 (pow x 4))) (+ (* -3 (cbrt (/ 1 x))) (+ (* -1/3 (cbrt (/ 1 (pow x 7)))) (* 1/9 (cbrt (/ 1 (pow x 10)))))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt (pow x 2)) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(cbrt x) |
(* 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)))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt (/ 1 (pow x 5))) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/9 (/ 1 x)))) |
(* x (+ 1/3 (* 1/9 (/ 1 x)))) |
(* x (+ 1/3 (* 1/9 (/ 1 x)))) |
(* -3 (cbrt (/ 1 x))) |
(+ (cbrt (/ 1 (pow x 4))) (* -3 (cbrt (/ 1 x)))) |
(+ (cbrt (/ 1 (pow x 4))) (+ (* -3 (cbrt (/ 1 x))) (* -1/3 (cbrt (/ 1 (pow x 7)))))) |
(+ (cbrt (/ 1 (pow x 4))) (+ (* -3 (cbrt (/ 1 x))) (+ (* -1/3 (cbrt (/ 1 (pow x 7)))) (* 1/9 (cbrt (/ 1 (pow x 10))))))) |
(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 |
(+ 1/3 (* 1/9 (/ 1 x))) |
(+ 1/3 (* 1/9 (/ 1 x))) |
(+ 1/3 (* 1/9 (/ 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))) (cbrt -1))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))) |
(* -1/3 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* -1 (* x (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* -1 (* x (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (* (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))) |
(* -2 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* 2 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* 2 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* 2 (* (cbrt (/ 1 (pow x 2))) (cbrt -1)))))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 3))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))) |
(+ (* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) (* -1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(* -3 (cbrt (pow x 2))) |
(* -1 (* x (+ (* -1 (cbrt (/ 1 (pow x 4)))) (* 3 (cbrt (/ 1 x)))))) |
(* -1 (* x (+ (* -1 (/ (+ (cbrt (/ 1 x)) (* -1/3 (cbrt (/ 1 (pow x 4))))) x)) (* 3 (cbrt (/ 1 x)))))) |
(* -1 (* x (+ (* -1 (/ (+ (cbrt (/ 1 x)) (* -1 (/ (+ (* -1/9 (cbrt (/ 1 (pow x 4)))) (* 1/3 (cbrt (/ 1 x)))) x))) x)) (* 3 (cbrt (/ 1 x)))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(* 1/3 (* (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)))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(* -1 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/9 (/ 1 x)))) |
(* x (+ 1/3 (* 1/9 (/ 1 x)))) |
(* x (+ 1/3 (* 1/9 (/ 1 x)))) |
(* -3 (cbrt (/ 1 x))) |
(+ (cbrt (/ 1 (pow x 4))) (* -3 (cbrt (/ 1 x)))) |
(+ (* -3 (cbrt (/ 1 x))) (* -1 (/ (+ (* -1 (cbrt (/ 1 x))) (* 1/3 (cbrt (/ 1 (pow x 4))))) x))) |
(+ (* -3 (cbrt (/ 1 x))) (* -1 (/ (+ (* -1 (cbrt (/ 1 x))) (* -1 (/ (+ (* -1/3 (cbrt (/ 1 x))) (* 1/9 (cbrt (/ 1 (pow x 4))))) x))) x))) |
(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)) |
| Outputs |
|---|
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ (+ 1/9 (* 1/3 x)) x) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x) |
(/ (+ 1/9 (* 1/3 x)) x) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x) |
(/ (+ 1/9 (* 1/3 x)) x) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(* 1/9 (cbrt (/ 1 (pow x 5)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/9 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 (cbrt.f64 x) #s(literal 1/9 binary64))) (*.f64 x x)) |
(/ (+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64))) (*.f64 x x)) |
(/ (+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64))) (*.f64 x x)) |
(* 1/9 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/9 binary64)) |
(/ (+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) x) |
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64))) x) |
(/ (+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) x) |
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64))) x) |
(/ (+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) x) |
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64))) 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 (cbrt.f64 x) #s(literal 1 binary64)) |
(+ 1 (+ (cbrt x) (* 1/3 x))) |
(fma.f64 #s(literal 1/3 binary64) x (+.f64 (cbrt.f64 x) #s(literal 1 binary64))) |
(+ 1 (+ (cbrt x) (* x (+ 1/3 (* -1/9 x))))) |
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (+.f64 (cbrt.f64 x) #s(literal 1 binary64))) |
(+ 1 (+ (cbrt x) (* 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 (+.f64 (cbrt.f64 x) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/3 x)) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 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)) |
(* 1/9 (cbrt (/ 1 (pow x 5)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/9 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 (cbrt.f64 x) #s(literal 1/9 binary64))) (*.f64 x x)) |
(/ (+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal 1/9 binary64))) (*.f64 x x)) |
(/ (+ (* 1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 x) #s(literal 1/9 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))) |
(* -9 (cbrt (pow x 5))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal -9 binary64)) |
(* x (+ (* -9 (cbrt (pow x 2))) (* 27 (cbrt (pow x 5))))) |
(*.f64 (fma.f64 #s(literal 27 binary64) (cbrt.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal -9 binary64))) x) |
(* x (+ (* -9 (cbrt (pow x 2))) (* x (+ (* -81 (cbrt (pow x 5))) (* 27 (cbrt (pow x 2))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -81 binary64) x) (cbrt.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 (cbrt.f64 (*.f64 x x)) (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)))) x) |
(* x (+ (* -9 (cbrt (pow x 2))) (* x (+ (* 27 (cbrt (pow x 2))) (* x (+ (* -81 (cbrt (pow x 2))) (* 243 (cbrt (pow x 5))))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 243 binary64) (cbrt.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal -81 binary64) (cbrt.f64 (*.f64 x x)))) (*.f64 x x) (*.f64 (cbrt.f64 (*.f64 x x)) (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)))) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.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)) |
(cbrt (pow x 2)) |
(cbrt.f64 (*.f64 x x)) |
(cbrt (pow x 2)) |
(cbrt.f64 (*.f64 x x)) |
(cbrt (pow x 2)) |
(cbrt.f64 (*.f64 x x)) |
(cbrt (pow x 2)) |
(cbrt.f64 (*.f64 x x)) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(- 1 (cbrt x)) |
(-.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(- (+ 1 (* 1/3 x)) (cbrt x)) |
(fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)) |
(fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/81 binary64) x #s(literal -1/9 binary64)) x #s(literal 1/3 binary64)) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(* -1/9 (cbrt (/ 1 (pow x 5)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 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)) (* 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)) (* 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 (/ 1 (pow x 5)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 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)) (* 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)) (* 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)) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(cbrt (/ 1 (pow x 5))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
1/9 |
#s(literal 1/9 binary64) |
(+ 1/9 (* 1/3 x)) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) |
(+ 1/9 (* 1/3 x)) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) |
(+ 1/9 (* 1/3 x)) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) |
(* -9 (cbrt (pow x 2))) |
(*.f64 (cbrt.f64 (*.f64 x x)) #s(literal -9 binary64)) |
(+ (* -9 (cbrt (pow x 2))) (* 27 (cbrt (pow x 5)))) |
(fma.f64 #s(literal 27 binary64) (cbrt.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal -9 binary64))) |
(+ (* -9 (cbrt (pow x 2))) (* x (+ (* -81 (cbrt (pow x 5))) (* 27 (cbrt (pow x 2)))))) |
(fma.f64 (*.f64 #s(literal -81 binary64) x) (cbrt.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 (cbrt.f64 (*.f64 x x)) (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)))) |
(+ (* -9 (cbrt (pow x 2))) (* x (+ (* 27 (cbrt (pow x 2))) (* x (+ (* -81 (cbrt (pow x 2))) (* 243 (cbrt (pow x 5)))))))) |
(fma.f64 (fma.f64 #s(literal 243 binary64) (cbrt.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal -81 binary64) (cbrt.f64 (*.f64 x x)))) (*.f64 x x) (*.f64 (cbrt.f64 (*.f64 x x)) (fma.f64 #s(literal 27 binary64) x #s(literal -9 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 |
#s(literal 1/3 binary64) |
(+ 1/3 (* 1/9 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)) |
(+ 1/3 (* 1/9 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)) |
(+ 1/3 (* 1/9 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) 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)) |
(/ (+ (* -1/9 (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 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (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)) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/9 binary64))) |
(+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/9 binary64))) |
(+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/9 binary64))) |
(* 1/3 (cbrt x)) |
(*.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) |
(* x (+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/9 binary64))) x) |
(* x (+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/9 binary64))) x) |
(* x (+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/9 binary64))) x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(cbrt x) |
(cbrt.f64 x) |
(* 2 (cbrt x)) |
(*.f64 #s(literal 2 binary64) (cbrt.f64 x)) |
(* x (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64))) x) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2))))))) |
(*.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) (*.f64 x x))) #s(literal 2 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64)))) x) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (+ (* 1/3 (cbrt (/ 1 (pow x 5)))) (* 2 (cbrt (/ 1 (pow x 2)))))))) |
(*.f64 (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) (*.f64 x x))) #s(literal 2 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) |
(* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))) |
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1/9 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) x) |
(* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (+ (* 5/81 (cbrt (/ 1 (pow x 11)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) |
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) #s(literal 5/81 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1/9 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) x) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/9 binary64))) |
(+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/9 binary64))) |
(+ (* 1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/9 binary64))) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.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 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal -10/243 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (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)) |
(* -3 (cbrt (pow x 2))) |
(*.f64 #s(literal -3 binary64) (cbrt.f64 (*.f64 x x))) |
(* x (+ (cbrt (/ 1 (pow x 4))) (* -3 (cbrt (/ 1 x))))) |
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x) |
(* x (+ (cbrt (/ 1 (pow x 4))) (+ (* -3 (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) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) x) |
(* x (+ (cbrt (/ 1 (pow x 4))) (+ (* -3 (cbrt (/ 1 x))) (+ (* -1/3 (cbrt (/ 1 (pow x 7)))) (* 1/9 (cbrt (/ 1 (pow x 10)))))))) |
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 10 binary64)))) #s(literal 1/9 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
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(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) |
(+ (* -3 (cbrt (/ 1 x))) (* -1 (/ (+ (* -1 (cbrt (/ 1 x))) (* -1 (/ (+ (* -1/3 (cbrt (/ 1 x))) (* 1/9 (cbrt (/ 1 (pow x 4))))) x))) x))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64) (/.f64 (-.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/9 binary64))) x)) x)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 259 |
| 0 | 73 | 243 |
| 1 | 273 | 233 |
| 2 | 1702 | 233 |
| 0 | 8346 | 211 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) x)) |
(/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) x) |
(*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) |
(pow.f64 x #s(literal 1/3 binary64)) |
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) x))) |
(*.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) x) |
(neg.f64 x) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(cbrt.f64 x) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(approx (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))))) |
#s(approx (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64)))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) |
(/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| Outputs |
|---|
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Compiled 23 957 to 4 163 computations (82.6% saved)
58 alts after pruning (52 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 290 | 26 | 1 316 |
| Fresh | 26 | 26 | 52 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 319 | 58 | 1 377 |
| Status | Accuracy | Program |
|---|---|---|
| 7.9% | (fma.f64 (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) | |
| 7.9% | (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) | |
| 7.9% | (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 (pow.f64 x #s(literal 1/3 binary64)))) | |
| 6.7% | (/.f64 (fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (cbrt.f64 x) (*.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) | |
| 8.8% | (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| 8.8% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) | |
| 8.8% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| ✓ | 7.9% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| ✓ | 5.4% | (+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
| ✓ | 5.4% | (+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
| 28.2% | #s(approx (- (cbrt (+ (* (sqrt x) (sqrt 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 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x))) | |
| 47.0% | #s(approx (- (cbrt (+ (* (sqrt x) (sqrt x)) 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) | |
| 46.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) | |
| 47.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) | |
| ✓ | 28.0% | #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))) |
| 46.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (*.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64))) (*.f64 x x))) | |
| 66.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) x) x)) | |
| 96.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (cbrt.f64 x) (/.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) x)) | |
| 96.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(approx (/ (+ (* (* (cbrt x) x) 1/3) (* 1/9 (cbrt x))) x) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64))) (sqrt.f64 x)) (sqrt.f64 x))) | |
| 66.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) x)) | |
| 45.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/81 binary64)))) (/.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))) x)) | |
| 45.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (*.f64 x x))) | |
| 44.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/81 binary64)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))))) x)) | |
| 96.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))))) | |
| 96.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) #s(approx (/ (+ (* x 1/3) 1/9) x) #s(literal 1/3 binary64))) x)) | |
| 95.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (/ 1/3 (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) (cbrt.f64 x))) | |
| 26.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64))) (*.f64 x x))) | |
| 96.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x))))) | |
| ✓ | 95.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
| 88.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) | |
| 96.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x)))) | |
| 88.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64))))) | |
| 47.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))) | |
| 54.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 x) (cbrt.f64 x)) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) | |
| 79.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (neg.f64 (cbrt.f64 x)) x))))) | |
| 96.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (cbrt.f64 x)) x))) | |
| 96.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x)) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))))) | |
| 95.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) x))) | |
| 96.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))) x))) | |
| 96.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (neg x) (* (cbrt x) (+ (* x 1/3) 1/9))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) x))) | |
| 96.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) #s(approx (* (/ (neg x) (* (cbrt x) (+ (* x 1/3) 1/9))) x) (fma.f64 (*.f64 #s(literal -3 binary64) x) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))))) | |
| 47.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) #s(approx (* (/ (neg x) (* (cbrt x) (+ (* x 1/3) 1/9))) x) (*.f64 #s(literal -3 binary64) (cbrt.f64 (*.f64 x x)))))) | |
| 13.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/729 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (-.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64))))))))) | |
| 44.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) | |
| 95.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x))) | |
| 95.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) | |
| 88.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) | |
| 66.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))) | |
| 96.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x) x) (cbrt.f64 x))) | |
| 58.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))) | |
| 47.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 x) (*.f64 x x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 1 binary64)))) | |
| 88.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)))) #s(literal 1/3 binary64))) | |
| 88.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64))) | |
| ✓ | 47.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
| 96.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 (cbrt.f64 x)) x))) | |
| 97.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(approx (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -5 binary64)) #s(literal -1/9 binary64))))) | |
| 48.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(approx (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (fma.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))))) | |
| 97.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(approx (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (cbrt.f64 x))) #s(literal 1/3 binary64))))) |
Compiled 2 474 to 1 142 computations (53.8% saved)
| Inputs |
|---|
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) #s(approx (/ (+ (* x 1/3) 1/9) x) #s(literal 1/3 binary64))) x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 (cbrt.f64 x)) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) #s(approx (* (/ (neg x) (* (cbrt x) (+ (* x 1/3) 1/9))) x) (*.f64 #s(literal -3 binary64) (cbrt.f64 (*.f64 x x)))))) |
#s(approx (- (cbrt (+ (* (sqrt x) (sqrt x)) 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (neg x) (* (cbrt x) (+ (* x 1/3) 1/9))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 x) x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x) x) (cbrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) x) x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (neg.f64 x)) (neg.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 x) (*.f64 x x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 1 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (cbrt.f64 x) (/.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (cbrt.f64 x)) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 x) (cbrt.f64 x)) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(approx (/ (+ (* (* (cbrt x) x) 1/3) (* 1/9 (cbrt x))) x) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64))) (sqrt.f64 x)) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/81 binary64)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))))) x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x)) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/81 binary64)))) (/.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))) x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (sqrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (*.f64 (/.f64 (cbrt.f64 x) x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) |
#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))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (/ 1/3 (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) (cbrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(approx (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (fma.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal -1/9 binary64) (*.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 -1 binary64)) (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (*.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x) x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x) (sqrt.f64 x)) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64))) |
#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 (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 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) |
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) |
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(approx (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(approx (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (cbrt.f64 x))) #s(literal 1/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) (cbrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (neg.f64 (cbrt.f64 x)) x))))) |
(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) |
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(approx (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -5 binary64)) #s(literal -1/9 binary64))))) |
(-.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))) |
(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 (pow.f64 x #s(literal 1/3 binary64)))) |
(fma.f64 (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) x))) |
#s(approx (- (cbrt (+ (* (sqrt x) (sqrt 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 #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 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) (pow.f64 x #s(literal 1/4 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) (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 #s(literal -1 binary64) #s(approx (* (/ (neg x) (* (cbrt x) (+ (* x 1/3) 1/9))) x) (fma.f64 (*.f64 #s(literal -3 binary64) x) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))))) |
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (cbrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 1/9 binary64) (neg.f64 (pow.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) #s(literal 2 binary64)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)))) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 1/9 binary64) (neg.f64 (pow.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) #s(literal 2 binary64))))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/729 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (-.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64))))))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64)) (cbrt.f64 x)) (/.f64 (*.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (neg.f64 (/.f64 (*.f64 #s(literal 1/81 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)))))) x) (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (cbrt.f64 x) (*.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (-.f64 x #s(literal 1 binary64))) (cbrt.f64 x))) |
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (cbrt.f64 x)) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(approx (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (cbrt.f64 x))) #s(literal 1/3 binary64))))) |
2 calls:
| 55.0ms | x |
| 26.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 1 | x |
| 97.7% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) #s(approx (/ (+ (* x 1/3) 1/9) x) #s(literal 1/3 binary64))) x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 (cbrt.f64 x)) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) #s(approx (* (/ (neg x) (* (cbrt x) (+ (* x 1/3) 1/9))) x) (*.f64 #s(literal -3 binary64) (cbrt.f64 (*.f64 x x)))))) |
#s(approx (- (cbrt (+ (* (sqrt x) (sqrt x)) 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (/.f64 x (cbrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (neg x) (* (cbrt x) (+ (* x 1/3) 1/9))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 x) x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x) x) (cbrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) x) x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (neg.f64 x)) (neg.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 x) (*.f64 x x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 1 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (cbrt.f64 x) (/.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (cbrt.f64 x)) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 x) (cbrt.f64 x)) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(approx (/ (+ (* (* (cbrt x) x) 1/3) (* 1/9 (cbrt x))) x) (*.f64 (cbrt.f64 x) #s(literal 1/3 binary64))) (sqrt.f64 x)) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/81 binary64)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))))) x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x)) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/81 binary64)))) (/.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))) x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (sqrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (*.f64 (/.f64 (cbrt.f64 x) x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) |
#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))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (/ 1/3 (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) (cbrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(approx (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (fma.f64 (pow.f64 x #s(literal -5/3 binary64)) #s(literal -1/9 binary64) (*.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 -1 binary64)) (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 x) #s(literal -1/9 binary64) (*.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x) x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x) (sqrt.f64 x)) (sqrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -6 binary64))) #s(literal 1/3 binary64))) |
#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 (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 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) |
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (cbrt.f64 x))) |
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(approx (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64)))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) #s(approx (/ (+ (* x 1/3) 1/9) x) #s(literal 1/3 binary64))) x)) |
2 calls:
| 28.0ms | x |
| 20.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 96.4% | 1 | x |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
2 calls:
| 4.0ms | x |
| 3.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.2% | 2 | x |
| 88.3% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
2 calls:
| 3.0ms | x |
| 3.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.3% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 88.3% | 1 | x |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.3% | 1 | x |
| 88.3% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 8 to 7 computations (12.5% saved)
Total -2.3b remaining (-3.9%)
Threshold costs -2.3b (-3.9%)
| Inputs |
|---|
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
(+.f64 (pow.f64 x #s(literal 1/3 binary64)) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
| Outputs |
|---|
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
2 calls:
| 2.0ms | x |
| 1.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.4% | 1 | x |
| 5.4% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 8 to 7 computations (12.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 2.199873243315816e+153 | 2.6098417665945197e+155 |
| 10.0ms | 112× | 1 | valid |
Compiled 101 to 108 computations (-6.9% saved)
ival-cbrt: 3.0ms (43.1% of total)adjust: 2.0ms (28.7% of total)ival-add: 1.0ms (14.4% of total)ival-sub: 1.0ms (14.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 129 |
| 1 | 65 | 129 |
| 2 | 73 | 129 |
| 3 | 86 | 129 |
| 4 | 100 | 129 |
| 5 | 107 | 129 |
| 6 | 111 | 129 |
| 7 | 112 | 129 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(approx (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (cbrt.f64 x))) #s(literal 1/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) #s(approx (/ (+ (* x 1/3) 1/9) x) #s(literal 1/3 binary64))) x)) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(approx (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (cbrt.f64 x))) #s(literal 1/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(approx (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (*.f64 (neg.f64 #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 x (cbrt.f64 x))))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) #s(approx (/ (+ (* x 1/3) 1/9) x) #s(literal 1/3 binary64))) x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 #s(approx (/ (+ (* x 1/3) 1/9) x) #s(literal 1/3 binary64)) (cbrt.f64 x)) x)) |
(if (<=.f64 x #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
(+.f64 (cbrt.f64 x) #s(approx (cbrt (+ x 1)) #s(literal 1 binary64))) |
(+.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 288 | 3658 |
| 1 | 763 | 3494 |
| 2 | 2069 | 3481 |
| 3 | 4961 | 3466 |
| 0 | 8337 | 3270 |
| 0 | 146 | 602 |
| 1 | 350 | 564 |
| 2 | 902 | 564 |
| 3 | 2613 | 561 |
| 4 | 5974 | 561 |
| 0 | 8120 | 528 |
| 0 | 36 | 160 |
| 0 | 62 | 143 |
| 1 | 220 | 135 |
| 2 | 1445 | 135 |
| 0 | 8846 | 127 |
| 0 | 32 | 198 |
| 0 | 50 | 192 |
| 1 | 182 | 162 |
| 2 | 1099 | 162 |
| 0 | 8441 | 149 |
| 0 | 48 | 259 |
| 0 | 73 | 243 |
| 1 | 273 | 233 |
| 2 | 1702 | 233 |
| 0 | 8346 | 211 |
| 0 | 459 | 3681 |
| 1 | 1252 | 3457 |
| 2 | 3860 | 3438 |
| 0 | 8212 | 3263 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 236 to 185 computations (21.6% saved)
Compiled 186 to 110 computations (40.9% saved)
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