
Time bar (total: 3.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 0 |
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 1 |
| 50% | 12.5% | 12.5% | 75% | 0% | 0% | 0% | 2 |
| 75% | 18.7% | 6.2% | 75% | 0% | 0% | 0% | 3 |
| 87.5% | 21.9% | 3.1% | 75% | 0% | 0% | 0% | 4 |
| 93.8% | 23.4% | 1.6% | 75% | 0% | 0% | 0% | 5 |
| 96.9% | 24.2% | 0.8% | 75% | 0% | 0% | 0% | 6 |
| 98.4% | 24.6% | 0.4% | 75% | 0% | 0% | 0% | 7 |
| 99.2% | 24.8% | 0.2% | 75% | 0% | 0% | 0% | 8 |
| 99.6% | 24.9% | 0.1% | 75% | 0% | 0% | 0% | 9 |
| 99.8% | 24.9% | 0% | 75% | 0% | 0% | 0% | 10 |
| 99.9% | 25% | 0% | 75% | 0% | 0% | 0% | 11 |
| 100% | 25% | 0% | 75% | 0% | 0% | 0% | 12 |
Compiled 15 to 11 computations (26.7% saved)
| 824.0ms | 6 406× | 1 | valid |
| 308.0ms | 1 705× | 2 | valid |
| 6.0ms | 145× | 0 | valid |
ival-cbrt: 341.0ms (38.2% of total)adjust: 316.0ms (35.4% of total)ival-add: 134.0ms (15% of total)ival-sub: 92.0ms (10.3% of total)exact: 7.0ms (0.8% of total)ival-assert: 2.0ms (0.2% of total)ival-and: 0.0ms (0% of total)const: 0.0ms (0% of total)ival->: 0.0ms (0% of total)ival-<: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 255 | 0 | - | 0 | - | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (cbrt.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) | cancellation | 255 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 255 | 0 |
| - | 0 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 255 | 0 | 0 |
| - | 0 | 0 | 1 |
| number | freq |
|---|---|
| 0 | 1 |
| 1 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 133.0ms | 410× | 1 | valid |
| 17.0ms | 98× | 2 | valid |
| 0.0ms | 4× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-cbrt: 16.0ms (32.4% of total)adjust: 16.0ms (32.4% of total)ival-sub: 11.0ms (22.3% of total)ival-add: 6.0ms (12.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 26 |
| 1 | 16 | 26 |
| 2 | 19 | 26 |
| 3 | 33 | 26 |
| 4 | 76 | 26 |
| 5 | 321 | 24 |
| 6 | 2820 | 24 |
| 7 | 6223 | 24 |
| 0 | 6 | 7 |
| 0 | 10 | 7 |
| 1 | 13 | 7 |
| 2 | 16 | 7 |
| 3 | 27 | 7 |
| 4 | 61 | 7 |
| 5 | 252 | 7 |
| 6 | 2195 | 7 |
| 7 | 5491 | 7 |
| 0 | 8635 | 7 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 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 x #s(literal -1 binary64))) (cbrt.f64 x)) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 5.6% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 7 to 6 computations (14.3% saved)
| 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 |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- 1 (cbrt x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* 1/3 x)) (cbrt x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)))) |
#s(approx (cbrt (+ x 1)) #s(hole binary64 1)) |
#s(approx (cbrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/3 x)))) |
#s(approx (cbrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/3 (* -1/9 x)))))) |
#s(approx (cbrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))))) |
#s(approx (+ x 1) #s(hole binary64 1)) |
#s(approx (+ x 1) #s(hole binary64 (+ 1 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (cbrt x) #s(hole binary64 (cbrt x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -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)))) |
#s(approx (cbrt (+ x 1)) #s(hole binary64 (cbrt x))) |
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) |
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))) |
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* 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)))))))))) |
#s(approx (+ x 1) #s(hole binary64 x)) |
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)))) |
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* -1 (* (cbrt x) (cbrt -1))))) |
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))) |
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* -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))))))) |
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* -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))))))) |
#s(approx (cbrt x) #s(hole binary64 (* -1 (* (cbrt x) (cbrt -1))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | -inf | ((- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (+ x 1) x 1 (cbrt x)) |
| 5.0ms | x | @ | inf | ((- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (+ x 1) x 1 (cbrt x)) |
| 2.0ms | x | @ | 0 | ((- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (+ x 1) x 1 (cbrt x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 184 | 762 |
| 0 | 189 | 669 |
| 1 | 964 | 611 |
| 0 | 8581 | 546 |
| 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)) |
x |
#s(literal 1 binary64) |
(cbrt.f64 x) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- 1 (cbrt x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* 1/3 x)) (cbrt x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)))) |
#s(approx (cbrt (+ x 1)) #s(hole binary64 1)) |
#s(approx (cbrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/3 x)))) |
#s(approx (cbrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/3 (* -1/9 x)))))) |
#s(approx (cbrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))))) |
#s(approx (+ x 1) #s(hole binary64 1)) |
#s(approx (+ x 1) #s(hole binary64 (+ 1 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (cbrt x) #s(hole binary64 (cbrt x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -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)))) |
#s(approx (cbrt (+ x 1)) #s(hole binary64 (cbrt x))) |
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* x (+ (cbrt (/ 1 (pow x 2))) (* 1/3 (cbrt (/ 1 (pow x 5)))))))) |
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* x (+ (cbrt (/ 1 (pow x 2))) (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5))))))))) |
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* 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)))))))))) |
#s(approx (+ x 1) #s(hole binary64 x)) |
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)))) |
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* -1 (* (cbrt x) (cbrt -1))))) |
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/3 (* (cbrt (/ 1 (pow x 5))) (/ 1 (pow (cbrt -1) 2)))) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))))) |
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* -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))))))) |
#s(approx (cbrt (+ x 1)) #s(hole binary64 (* -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))))))) |
#s(approx (cbrt x) #s(hole binary64 (* -1 (* (cbrt x) (cbrt -1))))) |
| Outputs |
|---|
(/.f64 (neg.f64 (-.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (cbrt.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x)) (neg.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 x #s(literal -1 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (+.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (cbrt.f64 x))) |
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 x #s(literal -1 binary64))))))) |
(-.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (cbrt.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (+.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (cbrt.f64 x)))) |
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 x #s(literal -1 binary64))))))) (/.f64 x (+.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 x #s(literal -1 binary64)))))))) |
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (cbrt.f64 x)) |
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64))) |
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64)) |
(/.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (cbrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x))))) |
(cbrt.f64 (-.f64 x #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x) |
(*.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) |
(*.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) |
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) x) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x))))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 x (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64)))) |
(-.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) x)) |
(-.f64 x #s(literal -1 binary64)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x))))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(pow.f64 x #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (cbrt.f64 x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(cbrt.f64 x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (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)))) |
#s(approx (- (cbrt (+ x 1)) (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)))) |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
#s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) |
#s(approx (cbrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/3 binary64)) x #s(literal 1 binary64))) |
#s(approx (cbrt (+ x 1)) (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))) |
#s(approx (+ x 1) #s(literal 1 binary64)) |
#s(approx (+ x 1) (-.f64 x #s(literal -1 binary64))) |
#s(approx x x) |
#s(approx (cbrt x) (cbrt.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 (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 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #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))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #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))) |
#s(approx (cbrt (+ x 1)) (cbrt.f64 x)) |
#s(approx (cbrt (+ x 1)) (*.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) x)) |
#s(approx (cbrt (+ x 1)) (*.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))) #s(literal -1/9 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))) x)) |
#s(approx (cbrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -11 binary64))) #s(literal 5/81 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/3 binary64)))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) x)) |
#s(approx (+ x 1) x) |
#s(approx (+ x 1) (-.f64 x #s(literal -1 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (/.f64 (cbrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64))) #s(literal 1/9 binary64) (*.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 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 #s(literal 1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64))) (*.f64 #s(literal 5/81 binary64) (cbrt.f64 (pow.f64 x #s(literal 7 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 #s(literal 1/9 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64))) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 11/2 binary64))) #s(literal 10/243 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) #s(literal 5/81 binary64))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) |
#s(approx (cbrt (+ x 1)) (neg.f64 (cbrt.f64 (neg.f64 x)))) |
#s(approx (cbrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) (cbrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64))))))) |
#s(approx (cbrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (cbrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64))) #s(literal 1/9 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (cbrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64))))))) |
#s(approx (cbrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal -5/81 binary64))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))))) |
#s(approx (cbrt x) (neg.f64 (cbrt.f64 (neg.f64 x)))) |
Compiled 1 399 to 368 computations (73.7% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 75 | 10 | 85 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 76 | 10 | 86 |
| Status | Accuracy | Program |
|---|---|---|
| 6.7% | (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 x #s(literal -1 binary64))))))) | |
| 5.8% | (-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x)) | |
| 6.8% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| 6.8% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) | |
| 6.0% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64)))) | |
| 5.7% | (-.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3/2 binary64)))) (cbrt.f64 x)) | |
| 5.6% | (-.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) (cbrt.f64 x)) | |
| 5.0% | (-.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)))) (cbrt.f64 x)) | |
| 24.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #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))) | |
| ▶ | 54.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
Compiled 302 to 226 computations (25.2% saved)
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) |
(cbrt.f64 (pow.f64 x #s(literal -2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
#s(literal 1/3 binary64) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- 1 (cbrt x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* 1/3 x)) (cbrt x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)))) |
#s(approx (* (cbrt (pow x -2)) 1/3) #s(hole binary64 (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
#s(approx (cbrt (pow x -2)) #s(hole binary64 (cbrt (/ 1 (pow x 2))))) |
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -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)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (pow x -2)) 1/3) (cbrt (pow x -2)) (pow x -2) x -2 1/3) |
| 2.0ms | x | @ | inf | ((- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (pow x -2)) 1/3) (cbrt (pow x -2)) (pow x -2) x -2 1/3) |
| 2.0ms | x | @ | 0 | ((- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (pow x -2)) 1/3) (cbrt (pow x -2)) (pow x -2) x -2 1/3) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 450 |
| 0 | 137 | 406 |
| 1 | 682 | 374 |
| 0 | 6190 | 333 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) |
(cbrt.f64 (pow.f64 x #s(literal -2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
#s(literal 1/3 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- 1 (cbrt x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* 1/3 x)) (cbrt x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)))) |
#s(approx (* (cbrt (pow x -2)) 1/3) #s(hole binary64 (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
#s(approx (cbrt (pow x -2)) #s(hole binary64 (cbrt (/ 1 (pow x 2))))) |
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -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)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -1 binary64))) (cbrt.f64 (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 x #s(literal -2/3 binary64)) |
(/.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 #s(literal -1 binary64))) |
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) |
(cbrt.f64 (pow.f64 x #s(literal -2 binary64))) |
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) (fabs.f64 (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1 binary64)) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) |
x |
#s(literal -2 binary64) |
#s(literal 1/3 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (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)))) |
#s(approx (- (cbrt (+ x 1)) (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)))) |
#s(approx (* (cbrt (pow x -2)) 1/3) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
#s(approx (cbrt (pow x -2)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) |
#s(approx (pow x -2) (pow.f64 x #s(literal -2 binary64))) |
#s(approx x 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 (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 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #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))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #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))) |
#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 (fma.f64 (/.f64 (cbrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64))) #s(literal 1/9 binary64) (*.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 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64))) #s(literal 1/9 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 5/81 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64))) #s(literal 1/9 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 11/2 binary64))) #s(literal 10/243 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) #s(literal 5/81 binary64))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) |
Compiled 1 414 to 341 computations (75.9% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 71 | 6 | 77 |
| Fresh | 6 | 3 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 77 | 10 | 87 |
| Status | Accuracy | Program |
|---|---|---|
| 6.7% | (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 x #s(literal -1 binary64))))))) | |
| 5.6% | (-.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) (cbrt.f64 x)) | |
| 24.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #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))) | |
| ▶ | 97.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
| 97.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64))) | |
| 53.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 (neg.f64 x) x))) #s(literal 1/3 binary64))) | |
| 97.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal -1 binary64))) (cbrt.f64 (pow.f64 x #s(literal -1 binary64)))) #s(literal 1/3 binary64))) | |
| 54.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64))) | |
| ✓ | 54.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
| 53.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))) #s(literal 1/3 binary64))) |
Compiled 360 to 270 computations (25% saved)
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
#s(literal 1/3 binary64) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(cbrt.f64 x) |
x |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- 1 (cbrt x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* 1/3 x)) (cbrt x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)))) |
#s(approx (/ 1/3 (pow (cbrt x) 2)) #s(hole binary64 (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
#s(approx (pow (cbrt x) 2) #s(hole binary64 (cbrt (pow x 2)))) |
#s(approx (cbrt x) #s(hole binary64 (cbrt x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -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)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)))) |
#s(approx (/ 1/3 (pow (cbrt x) 2)) #s(hole binary64 (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))))) |
#s(approx (pow (cbrt x) 2) #s(hole binary64 (* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))))) |
#s(approx (cbrt x) #s(hole binary64 (* -1 (* (cbrt x) (cbrt -1))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | -inf | ((- (cbrt (+ x 1)) (cbrt x)) (/ 1/3 (pow (cbrt x) 2)) 1/3 (pow (cbrt x) 2) (cbrt x) x 2) |
| 4.0ms | x | @ | inf | ((- (cbrt (+ x 1)) (cbrt x)) (/ 1/3 (pow (cbrt x) 2)) 1/3 (pow (cbrt x) 2) (cbrt x) x 2) |
| 4.0ms | x | @ | 0 | ((- (cbrt (+ x 1)) (cbrt x)) (/ 1/3 (pow (cbrt x) 2)) 1/3 (pow (cbrt x) 2) (cbrt x) x 2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 139 | 491 |
| 0 | 143 | 433 |
| 1 | 706 | 400 |
| 0 | 6406 | 355 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
#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(hole binary64 (- 1 (cbrt x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* 1/3 x)) (cbrt x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)))) |
#s(approx (/ 1/3 (pow (cbrt x) 2)) #s(hole binary64 (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
#s(approx (pow (cbrt x) 2) #s(hole binary64 (cbrt (pow x 2)))) |
#s(approx (cbrt x) #s(hole binary64 (cbrt x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -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)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)))) |
#s(approx (/ 1/3 (pow (cbrt x) 2)) #s(hole binary64 (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))))) |
#s(approx (pow (cbrt x) 2) #s(hole binary64 (* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))))) |
#s(approx (cbrt x) #s(hole binary64 (* -1 (* (cbrt x) (cbrt -1))))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) |
#s(literal 1/3 binary64) |
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) |
(*.f64 (fabs.f64 (cbrt.f64 x)) (fabs.f64 (cbrt.f64 x))) |
(*.f64 (exp.f64 (log.f64 (cbrt.f64 x))) (exp.f64 (log.f64 (cbrt.f64 x)))) |
(*.f64 (cbrt.f64 x) (cbrt.f64 x)) |
(pow.f64 (exp.f64 (log.f64 (cbrt.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2/3 binary64)) |
(cbrt.f64 (*.f64 x x)) |
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x)) |
(*.f64 (*.f64 (neg.f64 (cbrt.f64 x)) #s(literal 1 binary64)) (cbrt.f64 #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x)) |
(*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 #s(literal -1 binary64))) |
(*.f64 (neg.f64 (cbrt.f64 x)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (neg.f64 (cbrt.f64 x)))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (cbrt.f64 x))) |
(*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) |
(*.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(pow.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (cbrt.f64 x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) #s(literal 1 binary64))) |
(neg.f64 (neg.f64 (cbrt.f64 x))) |
(cbrt.f64 x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 1 binary64))) |
x |
#s(literal 2 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (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)))) |
#s(approx (- (cbrt (+ x 1)) (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)))) |
#s(approx (/ 1/3 (pow (cbrt x) 2)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
#s(approx (pow (cbrt x) 2) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
#s(approx (cbrt x) (cbrt.f64 x)) |
#s(approx x x) |
#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 (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 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (*.f64 x x))) |
#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 (fma.f64 (/.f64 (cbrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64))) #s(literal 1/9 binary64) (*.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 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64))) #s(literal 1/9 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 5/81 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64))) #s(literal 1/9 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 11/2 binary64))) #s(literal 10/243 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) #s(literal 5/81 binary64))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) |
#s(approx (/ 1/3 (pow (cbrt x) 2)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
#s(approx (pow (cbrt x) 2) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
#s(approx (cbrt x) (cbrt.f64 x)) |
Compiled 1 281 to 304 computations (76.3% saved)
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 66 | 4 | 70 |
| Fresh | 3 | 5 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 69 | 11 | 80 |
| Status | Accuracy | Program |
|---|---|---|
| 6.7% | (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 x #s(literal -1 binary64))))))) | |
| 5.6% | (-.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) (cbrt.f64 x)) | |
| 24.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (*.f64 x x))) | |
| ▶ | 97.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
| 97.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) | |
| ✓ | 97.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
| 53.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))) | |
| 97.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64))) | |
| 97.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal -1 binary64))) (cbrt.f64 (pow.f64 x #s(literal -1 binary64)))) #s(literal 1/3 binary64))) | |
| ✓ | 54.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
| 53.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))) #s(literal 1/3 binary64))) |
Compiled 378 to 272 computations (28% saved)
| 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 |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- 1 (cbrt x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* 1/3 x)) (cbrt x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)))) |
#s(approx (/ (/ 1/3 (cbrt x)) (cbrt x)) #s(hole binary64 (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
#s(approx (/ 1/3 (cbrt x)) #s(hole binary64 (* 1/3 (cbrt (/ 1 x))))) |
#s(approx (cbrt x) #s(hole binary64 (cbrt x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -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)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)))) |
#s(approx (/ (/ 1/3 (cbrt x)) (cbrt x)) #s(hole binary64 (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))))) |
#s(approx (cbrt x) #s(hole binary64 (* -1 (* (cbrt x) (cbrt -1))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | -inf | ((- (cbrt (+ x 1)) (cbrt x)) (/ (/ 1/3 (cbrt x)) (cbrt x)) (/ 1/3 (cbrt x)) 1/3 (cbrt x) x) |
| 4.0ms | x | @ | inf | ((- (cbrt (+ x 1)) (cbrt x)) (/ (/ 1/3 (cbrt x)) (cbrt x)) (/ 1/3 (cbrt x)) 1/3 (cbrt x) x) |
| 4.0ms | x | @ | 0 | ((- (cbrt (+ x 1)) (cbrt x)) (/ (/ 1/3 (cbrt x)) (cbrt x)) (/ 1/3 (cbrt x)) 1/3 (cbrt x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 480 |
| 0 | 143 | 431 |
| 1 | 696 | 390 |
| 0 | 6173 | 350 |
| 1× | iter limit |
| 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 |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- 1 (cbrt x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* 1/3 x)) (cbrt x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* -1/9 x)))) (cbrt x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/3 (* x (- (* 5/81 x) 1/9))))) (cbrt x)))) |
#s(approx (/ (/ 1/3 (cbrt x)) (cbrt x)) #s(hole binary64 (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
#s(approx (/ 1/3 (cbrt x)) #s(hole binary64 (* 1/3 (cbrt (/ 1 x))))) |
#s(approx (cbrt x) #s(hole binary64 (cbrt x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -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)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)))) |
#s(approx (/ (/ 1/3 (cbrt x)) (cbrt x)) #s(hole binary64 (* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))))) |
#s(approx (cbrt x) #s(hole binary64 (* -1 (* (cbrt x) (cbrt -1))))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x))) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 (/.f64 #s(literal -1/3 binary64) (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (neg.f64 (neg.f64 (cbrt.f64 x)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
(neg.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (neg.f64 (cbrt.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (cbrt.f64 x))) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 (cbrt.f64 x)))) |
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) (cbrt.f64 x))) |
#s(literal 1/3 binary64) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(pow.f64 x #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (cbrt.f64 x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(cbrt.f64 x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64))) |
x |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (-.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (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)))) |
#s(approx (- (cbrt (+ x 1)) (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)))) |
#s(approx (/ (/ 1/3 (cbrt x)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
#s(approx (/ 1/3 (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) |
#s(approx (cbrt x) (cbrt.f64 x)) |
#s(approx x 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 (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 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #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))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #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))) |
#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 (fma.f64 (/.f64 (cbrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64))) #s(literal 1/9 binary64) (*.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 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64))) #s(literal 1/9 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 5/81 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64))) #s(literal 1/9 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 11/2 binary64))) #s(literal 10/243 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 16 binary64))) #s(literal 5/81 binary64))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) |
#s(approx (/ (/ 1/3 (cbrt x)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
#s(approx (cbrt x) (neg.f64 (cbrt.f64 (neg.f64 x)))) |
Compiled 1 077 to 219 computations (79.7% saved)
12 alts after pruning (9 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 57 | 1 | 58 |
| Fresh | 0 | 8 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 57 | 12 | 69 |
| Status | Accuracy | Program |
|---|---|---|
| 6.7% | (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 x #s(literal -1 binary64))))))) | |
| 5.6% | (-.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) (cbrt.f64 x)) | |
| 24.0% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (*.f64 x x))) | |
| ✓ | 97.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
| 97.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) | |
| 97.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) | |
| ✓ | 97.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
| 53.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))) | |
| 97.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64))) | |
| 97.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal -1 binary64))) (cbrt.f64 (pow.f64 x #s(literal -1 binary64)))) #s(literal 1/3 binary64))) | |
| ✓ | 54.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
| 53.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))) #s(literal 1/3 binary64))) |
Compiled 584 to 282 computations (51.7% saved)
Total -61.0b remaining (-3669.8%)
Threshold costs -61b (-3669.8%)
| Inputs |
|---|
#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 (cbrt.f64 (pow.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 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 (neg.f64 x) x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64)))) |
(-.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.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))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))) #s(literal 1/3 binary64))) |
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal -1 binary64))) (cbrt.f64 (pow.f64 x #s(literal -1 binary64)))) #s(literal 1/3 binary64))) |
(-.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 x #s(literal -1 binary64))))))) |
(-.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3/2 binary64)))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #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))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
2 calls:
| 6.0ms | x |
| 4.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 97.4% | 1 | x |
Compiled 8 to 7 computations (12.5% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 14 |
| 1 | 16 | 14 |
| 2 | 20 | 14 |
| 3 | 44 | 14 |
| 4 | 198 | 14 |
| 5 | 2163 | 14 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
| 1× | fuel |
Compiled 14 to 12 computations (14.3% saved)
Compiled 92 to 58 computations (37% saved)
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