
Time bar (total: 7.9s)
| 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)
| 766.0ms | 6 253× | 1 | valid |
| 310.0ms | 1 715× | 2 | valid |
| 22.0ms | 288× | 0 | valid |
ival-cbrt: 264.0ms (31.4% of total)adjust: 172.0ms (20.4% of total)const: 131.0ms (15.6% of total)ival-add: 114.0ms (13.6% of total)ival-sub: 86.0ms (10.2% of total)ival->: 28.0ms (3.3% of total)ival-<: 22.0ms (2.6% of total)ival-and: 12.0ms (1.4% of total)exact: 8.0ms (1% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 256 | 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 | 256 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 256 | 0 |
| - | 0 | 0 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 256 | 0 | 0 |
| - | 0 | 0 | 0 |
| number | freq |
|---|---|
| 1 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 41.0ms | 390× | 1 | valid |
| 16.0ms | 98× | 2 | valid |
| 1.0ms | 24× | 0 | valid |
Compiled 65 to 28 computations (56.9% saved)
ival-cbrt: 16.0ms (41% of total)adjust: 9.0ms (23.1% of total)ival-sub: 7.0ms (17.9% of total)ival-add: 6.0ms (15.4% 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 | 8 | 19 |
| 1 | 18 | 17 |
| 2 | 41 | 16 |
| 3 | 74 | 16 |
| 4 | 122 | 16 |
| 5 | 180 | 16 |
| 6 | 204 | 16 |
| 7 | 215 | 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 | 109 | 7 |
| 8 | 158 | 7 |
| 9 | 174 | 7 |
| 10 | 182 | 7 |
| 0 | 182 | 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 |
|---|---|---|
| ▶ | 8.4% | (-.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 | 109 | 18 |
| 8 | 158 | 18 |
| 9 | 174 | 18 |
| 10 | 182 | 18 |
| 0 | 182 | 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 | 0.0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.5485726074528623 | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.5485726074528623 | (cbrt.f64 x) | |
| accuracy | 58.5739190599216 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 20.0ms | 195× | 1 | valid |
| 8.0ms | 49× | 2 | valid |
| 1.0ms | 12× | 0 | valid |
Compiled 38 to 14 computations (63.2% saved)
ival-cbrt: 8.0ms (43.3% of total)adjust: 5.0ms (27.1% of total)ival-add: 3.0ms (16.2% of total)ival-sub: 3.0ms (16.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 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 |
|---|
(- 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 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)) |
(* 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))) |
(* 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))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | -inf | ((- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (+ x 1) (cbrt x)) |
| 4.0ms | x | @ | inf | ((- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (+ x 1) (cbrt x)) |
| 2.0ms | x | @ | 0 | ((- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (+ x 1) (cbrt x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 146 | 539 |
| 1 | 350 | 501 |
| 2 | 902 | 501 |
| 3 | 2619 | 498 |
| 4 | 6064 | 498 |
| 0 | 8190 | 465 |
| 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 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)) |
(* 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))) |
(* 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))))) |
| 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 x) |
(+.f64 #s(literal 1 binary64) 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)) |
(* 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 #s(literal 1 binary64) 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))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 10 | 16 |
| 1 | 43 | 16 |
| 2 | 282 | 16 |
| 3 | 3101 | 16 |
| 0 | 9092 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(cbrt.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 4/3 binary64))) (pow.f64 (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x x))) #s(literal 2 binary64)))) (-.f64 (-.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x x x)))) |
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (fma.f64 (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) x (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x x))) (-.f64 (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x x))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 4/3 binary64))))) |
(*.f64 (/.f64 (-.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (-.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (-.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) x) x)) (fma.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (-.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (neg.f64 (-.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x)) (pow.f64 (neg.f64 (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) (pow.f64 (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (pow.f64 (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x))) |
(pow.f64 (/.f64 (pow.f64 (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 4/3 binary64))) (*.f64 (cbrt.f64 x) x)) (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) (+.f64 (fma.f64 (cbrt.f64 x) x (cbrt.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 4/3 binary64))))) |
(/.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) x) x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) (fma.f64 x (-.f64 (-.f64 #s(literal 1 binary64) x) x) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 x (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 x (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (/.f64 (*.f64 x x) (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (/.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 x (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(/.f64 (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 4/3 binary64))) (*.f64 (cbrt.f64 x) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 (cbrt.f64 x) x (cbrt.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (exp.f64 (*.f64 (log1p.f64 x) #s(literal 4/3 binary64)))) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 (-.f64 #s(literal 1 binary64) x) x) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) |
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(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log1p.f64 x)) #s(literal 3/2 binary64))) |
(exp.f64 (log1p.f64 x)) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64)))) |
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/9 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 1/3 binary64)) |
(cbrt.f64 x) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2/3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/6 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (cbrt.f64 x))) |
Compiled 7 589 to 1 335 computations (82.4% saved)
26 alts after pruning (25 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 357 | 25 | 382 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 357 | 26 | 383 |
| Status | Accuracy | Program |
|---|---|---|
| 7.2% | (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))) | |
| 6.4% | (-.f64 (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) (cbrt.f64 x)) | |
| ▶ | 7.0% | (-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x)) |
| 7.1% | (-.f64 (/.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) (cbrt.f64 x)) | |
| 6.7% | (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x)) | |
| 8.7% | (-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| ▶ | 8.6% | (-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
| 9.5% | (-.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)) | |
| 8.1% | (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| 7.6% | (-.f64 (cbrt.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| ▶ | 9.4% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
| 9.4% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) | |
| 8.4% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) | |
| 9.4% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) | |
| 7.6% | (-.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)))) | |
| 8.6% | (-.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)))) | |
| ✓ | 8.4% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 7.9% | (-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x)) | |
| 4.5% | (-.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)) |
| 4.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) | |
| 9.6% | #s(approx (- (cbrt (+ x 1)) (cbrt 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 (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))) | |
| 28.5% | #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))) | |
| 27.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) | |
| 28.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (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))) | |
| ▶ | 54.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
Compiled 797 to 626 computations (21.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| cost-diff | 19456 | (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (log1p.f64 x) | |
| cost-diff | 0 | (exp.f64 #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (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))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) | |
| cost-diff | 6528 | (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (cbrt.f64 x) | |
| cost-diff | 0 | #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) x) x) | |
| 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))) | |
| cost-diff | 320 | (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 148 |
| 0 | 52 | 133 |
| 1 | 72 | 133 |
| 2 | 89 | 127 |
| 3 | 128 | 127 |
| 4 | 210 | 127 |
| 5 | 421 | 127 |
| 6 | 562 | 127 |
| 7 | 676 | 127 |
| 8 | 806 | 127 |
| 9 | 916 | 127 |
| 10 | 2001 | 127 |
| 11 | 2636 | 127 |
| 12 | 2987 | 127 |
| 13 | 3301 | 127 |
| 14 | 3401 | 127 |
| 15 | 3487 | 127 |
| 16 | 5087 | 127 |
| 17 | 5908 | 127 |
| 18 | 5969 | 127 |
| 19 | 6013 | 127 |
| 20 | 6048 | 127 |
| 21 | 6356 | 127 |
| 22 | 6539 | 127 |
| 23 | 6607 | 127 |
| 24 | 6651 | 127 |
| 25 | 6683 | 127 |
| 26 | 6703 | 127 |
| 27 | 6929 | 123 |
| 28 | 7385 | 123 |
| 29 | 7728 | 123 |
| 30 | 7804 | 123 |
| 31 | 7816 | 123 |
| 32 | 7816 | 123 |
| 33 | 7816 | 123 |
| 34 | 7816 | 123 |
| 35 | 7864 | 123 |
| 36 | 7972 | 123 |
| 0 | 8020 | 119 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 1/3 binary64) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(cbrt.f64 x) |
x |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 2 binary64) |
(-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x)) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) |
(exp.f64 #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(log1p.f64 x) |
x |
(cbrt.f64 x) |
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
(cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(cbrt.f64 x) |
x |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
| 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) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 1/3 binary64) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(cbrt.f64 x) |
x |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (cbrt.f64 x)) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(cbrt.f64 (-.f64 x #s(literal -1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal 1 binary64) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(cbrt.f64 x) |
(pow.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 2 binary64) |
(-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x)) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) |
(exp.f64 #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(log1p.f64 x) |
x |
(cbrt.f64 x) |
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (-.f64 x #s(literal -1 binary64))) (cbrt.f64 x)) |
(cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) |
(cbrt.f64 (-.f64 x #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(cbrt.f64 x) |
x |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.5485726074528623 | (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) | |
| accuracy | 0.5485726074528623 | (cbrt.f64 x) | |
| accuracy | 0.553066259768442 | (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) | |
| accuracy | 58.5739190599216 | (-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| accuracy | 0.00390625 | (log1p.f64 x) | |
| accuracy | 0.5485726074528623 | (cbrt.f64 x) | |
| accuracy | 4.215139540819733 | (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) | |
| accuracy | 58.5739190599216 | (-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x)) | |
| accuracy | 0.5397262695368841 | (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0.5485726074528623 | (cbrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 3.9692071362505605 | (pow.f64 x #s(literal 1/6 binary64)) | |
| accuracy | 58.5739190599216 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) | |
| accuracy | 0.5485726074528623 | (cbrt.f64 x) | |
| accuracy | 58.5739190599216 | (-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) | |
| accuracy | 58.80859507515773 | #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) | |
| accuracy | 0.1484375 | (/.f64 (/.f64 #s(literal 1 binary64) x) x) | |
| accuracy | 0.38671875 | (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) | |
| accuracy | 1.8708797951673903 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) | |
| accuracy | 27.18949527935739 | (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
| 158.0ms | 196× | 1 | valid |
| 85.0ms | 49× | 2 | valid |
| 3.0ms | 11× | 0 | valid |
Compiled 294 to 58 computations (80.3% saved)
ival-pow: 55.0ms (26.3% of total)const: 42.0ms (20.1% of total)ival-pow2: 25.0ms (12% of total)adjust: 18.0ms (8.6% of total)ival-cbrt: 15.0ms (7.2% of total)ival-log1p: 12.0ms (5.7% of total)ival-exp: 11.0ms (5.3% of total)ival-mult: 11.0ms (5.3% of total)ival-sub: 10.0ms (4.8% of total)ival-add: 7.0ms (3.3% of total)ival-div: 3.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 #s(literal 1 binary64) x) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
(cbrt.f64 x) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x)) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) |
(exp.f64 #s(literal 1/3 binary64)) |
(log1p.f64 x) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64)) |
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
(cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(pow.f64 x #s(literal 1/6 binary64)) |
| Outputs |
|---|
(* 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 (pow x 2)) |
(/ 1 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) |
(+ 1 x) |
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(cbrt (pow x 2)) |
(cbrt (/ 1 (pow x 2))) |
(pow (* 1 x) 1/6) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(* x (+ (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 (+ 1 (/ 1 x))) |
(* -1 (cbrt x)) |
0 |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(+ (cbrt x) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (cbrt x) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(+ (cbrt x) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ 1 x)) |
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(* 1/3 (* (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))))) |
(* (cbrt x) (cbrt -1)) |
(* -1 (* x (- (* -1 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (* -1 (/ (+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/3 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (* -1 (/ (+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/3 (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 1/9 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/3 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) |
(+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/3 (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 1/9 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))) |
(+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 5/81 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -1/3 (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))))) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(* -1 (* x (pow (cbrt -1) 3))) |
(* -1 (* x (- (pow (cbrt -1) 3) (/ 1 x)))) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | x | @ | 0 | ((* (cbrt (/ (/ 1 x) x)) 1/3) (- (cbrt (+ x 1)) (cbrt x)) (/ (/ 1 x) x) (/ 1 x) (- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (cbrt x) (pow (pow x 1/6) 2) (- (cbrt (+ x 1)) (pow (pow x 1/6) 2)) (cbrt (+ x 1)) (+ x 1) (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) (pow (exp 1/3) (log (+ 1 x))) (exp 1/3) (log (+ 1 x)) (+ (* (pow (cbrt x) 2) (cbrt x)) 1) (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (pow (cbrt x) 2) (cbrt (/ (/ 1 x) x)) (pow x 1/6)) |
| 29.0ms | x | @ | -inf | ((* (cbrt (/ (/ 1 x) x)) 1/3) (- (cbrt (+ x 1)) (cbrt x)) (/ (/ 1 x) x) (/ 1 x) (- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (cbrt x) (pow (pow x 1/6) 2) (- (cbrt (+ x 1)) (pow (pow x 1/6) 2)) (cbrt (+ x 1)) (+ x 1) (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) (pow (exp 1/3) (log (+ 1 x))) (exp 1/3) (log (+ 1 x)) (+ (* (pow (cbrt x) 2) (cbrt x)) 1) (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (pow (cbrt x) 2) (cbrt (/ (/ 1 x) x)) (pow x 1/6)) |
| 11.0ms | x | @ | inf | ((* (cbrt (/ (/ 1 x) x)) 1/3) (- (cbrt (+ x 1)) (cbrt x)) (/ (/ 1 x) x) (/ 1 x) (- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) (cbrt x) (pow (pow x 1/6) 2) (- (cbrt (+ x 1)) (pow (pow x 1/6) 2)) (cbrt (+ x 1)) (+ x 1) (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) (pow (exp 1/3) (log (+ 1 x))) (exp 1/3) (log (+ 1 x)) (+ (* (pow (cbrt x) 2) (cbrt x)) 1) (- (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (cbrt x)) (cbrt (+ (* (pow (cbrt x) 2) (cbrt x)) 1)) (pow (cbrt x) 2) (cbrt (/ (/ 1 x) x)) (pow x 1/6)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 254 | 1078 |
| 1 | 675 | 1005 |
| 2 | 2027 | 975 |
| 3 | 5252 | 887 |
| 0 | 8253 | 837 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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 (pow x 2)) |
(/ 1 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) |
(+ 1 x) |
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(cbrt (pow x 2)) |
(cbrt (/ 1 (pow x 2))) |
(pow (* 1 x) 1/6) |
(/ (+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4))))) (pow x 2)) |
(/ (+ (* -1/9 (cbrt x)) (+ (* -10/243 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 2)))) (* 1/3 (cbrt (pow x 4)))))) (pow x 2)) |
(* x (+ (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 (+ 1 (/ 1 x))) |
(* -1 (cbrt x)) |
0 |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(+ (cbrt x) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(+ (cbrt x) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(+ (cbrt x) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ 1 x)) |
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(* 1/3 (* (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))))) |
(* (cbrt x) (cbrt -1)) |
(* -1 (* x (- (* -1 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (* -1 (/ (+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/3 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (* -1 (/ (+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/3 (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 1/9 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/3 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) |
(+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/3 (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 1/9 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))) |
(+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 5/81 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -1/3 (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))))) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(* -1 (* x (pow (cbrt -1) 3))) |
(* -1 (* x (- (pow (cbrt -1) 3) (/ 1 x)))) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
| 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 (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 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) 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) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
x |
(* x (+ 1 (* -1/2 x))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) |
(cbrt (pow x 2)) |
(cbrt.f64 (*.f64 x x)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(pow (* 1 x) 1/6) |
(pow.f64 x #s(literal 1/6 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 (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 #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)) |
(* 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 (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* -1 (cbrt x)) |
(neg.f64 (cbrt.f64 x)) |
0 |
#s(literal 0 binary64) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64))) x) |
(+ (cbrt x) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64) (cbrt.f64 x)) |
(+ (cbrt x) (+ (* -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) (fma.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64) (cbrt.f64 x))) |
(+ (cbrt x) (+ (* -1/9 (cbrt (/ 1 (pow x 5)))) (+ (* 5/81 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 2))))))) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal 5/81 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/9 binary64) (fma.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64) (cbrt.f64 x)))) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(+ (* -1 (log (/ 1 x))) (/ 1 x)) |
(-.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) x)) |
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(-.f64 (log.f64 x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) |
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(-.f64 (log.f64 x) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 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 1/9 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 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/9 binary64) (*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) #s(literal 5/81 binary64))) (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 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/9 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 10/243 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))) (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (*.f64 (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 16 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(* -1 (* (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 #s(literal -1/3 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal -5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (*.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))))) |
(* (cbrt x) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(* -1 (* x (- (* -1 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (fma.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) x)) x) |
(* -1 (* x (- (* -1 (/ (+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/3 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (fma.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) x)) x) |
(* -1 (* x (- (* -1 (/ (+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/3 (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 1/9 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(*.f64 (fma.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (-.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64))) x)) x)) x) |
(exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(cbrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) |
(+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/3 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/3 (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 1/9 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))) |
(-.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64))) x)) |
(+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 5/81 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -1/3 (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))))) x))) |
(+.f64 (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64) (/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 5/81 binary64) x) #s(literal -1/9 binary64))) x)) x) (cbrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(-.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(-.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(-.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x)) |
(* -1 (* x (pow (cbrt -1) 3))) |
x |
(* -1 (* x (- (pow (cbrt -1) 3) (/ 1 x)))) |
(-.f64 x #s(literal -1 binary64)) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(cbrt.f64 (*.f64 x x)) |
(exp (* 1/6 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/6 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 130 |
| 0 | 52 | 107 |
| 1 | 186 | 99 |
| 2 | 1295 | 99 |
| 0 | 8618 | 95 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 #s(literal 1 binary64) x) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) |
(cbrt.f64 x) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(cbrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x)) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) |
(exp.f64 #s(literal 1/3 binary64)) |
(log1p.f64 x) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64)) |
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
(cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(pow.f64 x #s(literal 1/6 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/12 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/12 binary64)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/12 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/12 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64))) (neg.f64 (cbrt.f64 x))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) (neg.f64 (cbrt.f64 x))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 5/6 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) |
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(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 x))) |
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(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 1/3 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/6 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #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 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -4 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2/3 binary64)) |
(pow.f64 x #s(literal -2/3 binary64)) |
(/.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) (neg.f64 (pow.f64 x #s(literal 1/6 binary64)))) |
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x))) (neg.f64 (neg.f64 (cbrt.f64 x)))) |
(/.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 (cbrt.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64))) (*.f64 (cbrt.f64 x) (cbrt.f64 (neg.f64 x)))) |
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) |
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (cbrt.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 1/6 binary64)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (cbrt.f64 x))) |
(neg.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x)))) |
(cbrt.f64 (pow.f64 x #s(literal -2 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)))) |
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/24 binary64))) (pow.f64 x #s(literal 1/24 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/12 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/12 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal 1/12 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/12 binary64))) |
(*.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/12 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/12 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/12 binary64)) (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/12 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/12 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal 1/12 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/24 binary64)) (*.f64 (pow.f64 x #s(literal 1/24 binary64)) (pow.f64 x #s(literal 1/12 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/12 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/6 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/12 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) |
(pow.f64 x #s(literal 1/6 binary64)) |
(sqrt.f64 (cbrt.f64 x)) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/12 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/12 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/6 binary64))) |
Compiled 18 358 to 3 142 computations (82.9% saved)
40 alts after pruning (38 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 864 | 32 | 896 |
| Fresh | 14 | 6 | 20 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 882 | 40 | 922 |
| Status | Accuracy | Program |
|---|---|---|
| 5.9% | (fma.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)) (neg.f64 (cbrt.f64 x))) | |
| 9.6% | (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/12 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 7.2% | (fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (cbrt.f64 x))) | |
| 6.2% | (fma.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (cbrt.f64 x))) | |
| 11.5% | (/.f64 (fma.f64 #s(literal -1 binary64) x (+.f64 x #s(literal 1 binary64))) (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (-.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (log1p.f64 x)) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))))) | |
| 11.5% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (log1p.f64 x)))) | |
| 11.5% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (log1p.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (neg.f64 (cbrt.f64 (fma.f64 x x x))))) | |
| 7.8% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) | |
| 6.7% | (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x)) | |
| 8.1% | (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) | |
| 9.4% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) | |
| ✓ | 8.4% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 26.5% | #s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) (*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64))) x)) | |
| ▶ | 4.1% | #s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64)) |
| 28.5% | #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))) | |
| ▶ | 27.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
| 28.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (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))) | |
| 95.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) | |
| 95.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))) | |
| 95.5% | #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))))) | |
| 95.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) | |
| 49.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) | |
| 95.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) | |
| 95.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) | |
| 88.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) | |
| 95.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) #s(literal 1/3 binary64))) | |
| ▶ | 95.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) |
| 53.1% | #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))) | |
| ▶ | 95.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
| 95.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))) #s(literal 1/3 binary64))) | |
| 95.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) | |
| 88.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)))) #s(literal 1/3 binary64))) | |
| ▶ | 54.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))) #s(literal 1/3 binary64))) |
| 54.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) | |
| 54.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)) #s(literal 1/3 binary64))) | |
| 54.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) x)) #s(literal 1/3 binary64))) | |
| ✓ | 54.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
| 52.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) | |
| 54.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) | |
| 51.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))) |
Compiled 1 347 to 1 047 computations (22.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))) | |
| cost-diff | 0 | (*.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))) #s(literal 1/3 binary64))) | |
| cost-diff | 5824 | (pow.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64)) | |
| cost-diff | 0 | (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 0 | (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) | |
| cost-diff | 0 | (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 212 |
| 0 | 66 | 203 |
| 1 | 87 | 203 |
| 2 | 102 | 203 |
| 3 | 119 | 203 |
| 4 | 137 | 203 |
| 5 | 172 | 203 |
| 6 | 247 | 203 |
| 7 | 317 | 203 |
| 8 | 402 | 203 |
| 9 | 450 | 203 |
| 10 | 632 | 203 |
| 11 | 736 | 203 |
| 12 | 883 | 203 |
| 13 | 1265 | 203 |
| 14 | 1949 | 203 |
| 15 | 2734 | 203 |
| 16 | 3269 | 203 |
| 17 | 3562 | 203 |
| 18 | 3769 | 203 |
| 19 | 3775 | 203 |
| 20 | 3775 | 203 |
| 21 | 3779 | 203 |
| 22 | 3803 | 203 |
| 23 | 3883 | 203 |
| 24 | 3895 | 203 |
| 25 | 3895 | 203 |
| 26 | 3895 | 203 |
| 0 | 3895 | 201 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) |
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) |
(cbrt.f64 (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(cbrt.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(literal 1/3 binary64) |
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64)) |
#s(literal 0 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 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))) #s(literal 1/3 binary64)) |
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))) |
(pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
#s(literal -4 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))) |
(/.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) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (/.f64 #s(literal -1 binary64) x)))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) |
(cbrt.f64 (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(cbrt.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(literal 1/3 binary64) |
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64)) |
#s(literal 0 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 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 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))) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))) #s(literal 1/3 binary64)) |
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))) #s(literal 1/3 binary64)) |
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))) |
(cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))) |
(pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 1/2 binary64) |
#s(literal -4 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))) |
(/.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) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.5485726074528623 | (cbrt.f64 x) | |
| accuracy | 0.7774566134164232 | #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 | 28.51849431543151 | (/.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 | 28.781221265446526 | (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 0.38671875 | (*.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))) #s(literal 1/3 binary64)) | |
| accuracy | 0.44937148444260855 | (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64)) | |
| accuracy | 1.8708797951673903 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))) #s(literal 1/3 binary64))) | |
| accuracy | 27.18949527935739 | (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))) | |
| accuracy | 0.38671875 | (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)) | |
| accuracy | 0.5485726074528623 | (cbrt.f64 x) | |
| accuracy | 0.553066259768442 | (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) | |
| accuracy | 1.8708797951673903 | #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 | 61.37532377373421 | #s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64)) | |
| accuracy | 0.3984375 | (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) | |
| accuracy | 0.5485726074528623 | (cbrt.f64 (neg.f64 x)) | |
| accuracy | 0.5775375976844203 | (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 1.8708797951673903 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) |
| 184.0ms | 196× | 1 | valid |
| 89.0ms | 49× | 2 | valid |
| 3.0ms | 11× | 0 | valid |
Compiled 382 to 86 computations (77.5% saved)
adjust: 45.0ms (18.6% of total)ival-cbrt: 42.0ms (17.4% of total)ival-pow2: 34.0ms (14.1% of total)ival-pow: 33.0ms (13.7% of total)ival-mult: 19.0ms (7.9% of total)ival-log1p: 14.0ms (5.8% of total)const: 13.0ms (5.4% of total)ival-exp: 12.0ms (5% of total)ival-div: 11.0ms (4.6% of total)ival-sub: 6.0ms (2.5% of total)ival-add: 6.0ms (2.5% of total)ival-sqrt: 3.0ms (1.2% of total)exact: 1.0ms (0.4% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) |
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) |
(cbrt.f64 (/.f64 #s(literal -1 binary64) x)) |
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 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)) |
(pow.f64 x #s(literal 1/2 binary64)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))) #s(literal 1/3 binary64)) |
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -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) (*.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))) |
(cbrt.f64 (neg.f64 x)) |
(cbrt.f64 x) |
(pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64)) |
| Outputs |
|---|
(- 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)))) |
(cbrt (/ 1 (pow x 2))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(cbrt (pow x 2)) |
(sqrt 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)) |
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) |
(cbrt (pow x 4)) |
(* (cbrt x) (cbrt -1)) |
(cbrt x) |
(/ 1 (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 (cbrt x)) |
0 |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(+ (* -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)))))) |
(* 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 (* x (- (* -1 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (* -1 (/ (+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/3 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (* -1 (/ (+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/3 (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 1/9 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 1/3 (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))) |
(cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))) |
(+ (* 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)))))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(/ 1 (* (pow x 2) (pow (sqrt -1) 4))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | x | @ | 0 | ((- (cbrt (+ x 1)) (cbrt x)) (* (/ (cbrt (/ -1 x)) (cbrt (neg x))) 1/3) (/ (cbrt (/ -1 x)) (cbrt (neg x))) (cbrt (/ -1 x)) (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) (* (/ 1 (pow (cbrt x) 2)) 1/3) (- (cbrt (+ x 1)) (cbrt x)) (/ 1 (pow (cbrt x) 2)) (pow (cbrt x) 2) (pow x 1/2) (- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (pow (pow x 1/2) -4)) 1/3) (cbrt (pow (pow x 1/2) -4)) (- (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)) (cbrt (neg x)) (cbrt x) (pow (pow x 1/2) -4)) |
| 13.0ms | x | @ | -inf | ((- (cbrt (+ x 1)) (cbrt x)) (* (/ (cbrt (/ -1 x)) (cbrt (neg x))) 1/3) (/ (cbrt (/ -1 x)) (cbrt (neg x))) (cbrt (/ -1 x)) (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) (* (/ 1 (pow (cbrt x) 2)) 1/3) (- (cbrt (+ x 1)) (cbrt x)) (/ 1 (pow (cbrt x) 2)) (pow (cbrt x) 2) (pow x 1/2) (- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (pow (pow x 1/2) -4)) 1/3) (cbrt (pow (pow x 1/2) -4)) (- (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)) (cbrt (neg x)) (cbrt x) (pow (pow x 1/2) -4)) |
| 9.0ms | x | @ | inf | ((- (cbrt (+ x 1)) (cbrt x)) (* (/ (cbrt (/ -1 x)) (cbrt (neg x))) 1/3) (/ (cbrt (/ -1 x)) (cbrt (neg x))) (cbrt (/ -1 x)) (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) (* (/ 1 (pow (cbrt x) 2)) 1/3) (- (cbrt (+ x 1)) (cbrt x)) (/ 1 (pow (cbrt x) 2)) (pow (cbrt x) 2) (pow x 1/2) (- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (pow (pow x 1/2) -4)) 1/3) (cbrt (pow (pow x 1/2) -4)) (- (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)) (cbrt (neg x)) (cbrt x) (pow (pow x 1/2) -4)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 172 | 641 |
| 1 | 399 | 609 |
| 2 | 938 | 597 |
| 3 | 2207 | 572 |
| 4 | 4602 | 561 |
| 0 | 8224 | 529 |
| 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)))) |
(cbrt (/ 1 (pow x 2))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(cbrt (pow x 2)) |
(sqrt 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)) |
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) |
(cbrt (pow x 4)) |
(* (cbrt x) (cbrt -1)) |
(cbrt x) |
(/ 1 (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 (cbrt x)) |
0 |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(+ (* -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)))))) |
(* 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 (* x (- (* -1 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (* -1 (/ (+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/3 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* -1 (* x (- (* -1 (/ (+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/3 (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 1/9 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 1/3 (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))) |
(cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))) |
(+ (* 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)))))) |
(* -1 (* (cbrt x) (cbrt -1))) |
(/ 1 (* (pow x 2) (pow (sqrt -1) 4))) |
| 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)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(* (cbrt (/ 1 x)) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(cbrt (pow x 2)) |
(cbrt.f64 (*.f64 x x)) |
(sqrt x) |
(sqrt.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)) |
(*.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 x) (cbrt -1)) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(cbrt x) |
(cbrt.f64 x) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.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 (cbrt x)) |
(neg.f64 (cbrt.f64 x)) |
0 |
#s(literal 0 binary64) |
(* x (+ (* -1/9 (cbrt (/ 1 (pow x 8)))) (* 1/3 (cbrt (/ 1 (pow x 5)))))) |
(*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64))) x) |
(+ (* -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)) |
(* 1/3 (* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (*.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))))) (pow.f64 x #s(literal 3 binary64)))) x) x) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 10/243 (* (cbrt (pow x 13)) (/ 1 (pow (cbrt -1) 11)))) (* 5/81 (* (cbrt (pow x 16)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 10/243 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 11 binary64))) (cbrt.f64 (pow.f64 x #s(literal 13 binary64))) (*.f64 (/.f64 #s(literal 5/81 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 16 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(* -1 (* x (- (* -1 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(fma.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) x) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(* -1 (* x (- (* -1 (/ (+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/3 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) (*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) x) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(* -1 (* x (- (* -1 (/ (+ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/3 (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 1/9 (/ (exp (* 1/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))) x)) (* (cbrt (/ 1 (pow x 2))) (cbrt -1))))) |
(fma.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (cbrt.f64 #s(literal -1 binary64)) (-.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64))) x))) |
(* (cbrt (/ 1 (pow x 2))) (/ 1 (pow (cbrt -1) 2))) |
(/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(cbrt.f64 (*.f64 x x)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* 1/3 (cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4))))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) x) x)) #s(literal 1/3 binary64)) |
(cbrt (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))) |
(cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) x) x)) |
(+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/9 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))) |
(* (pow x 2) (+ (* 1/9 (* (cbrt (/ 1 (pow x 5))) (cbrt -1))) (* 1/3 (cbrt (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/9 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)) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x)) |
(/ 1 (* (pow x 2) (pow (sqrt -1) 4))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 179 |
| 0 | 66 | 180 |
| 1 | 214 | 150 |
| 2 | 1228 | 148 |
| 0 | 8377 | 133 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64)) |
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) |
(cbrt.f64 (/.f64 #s(literal -1 binary64) x)) |
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 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)) |
(pow.f64 x #s(literal 1/2 binary64)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))) #s(literal 1/3 binary64)) |
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -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) (*.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))) |
(cbrt.f64 (neg.f64 x)) |
(cbrt.f64 x) |
(pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64)) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (cbrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64)))) |
(*.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) (/.f64 #s(literal -1 binary64) (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)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) |
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))) (cbrt.f64 x)) |
(/.f64 (*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) #s(literal 1/3 binary64)) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64))) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64))) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) (neg.f64 (cbrt.f64 x))) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
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(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/6 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal -1 binary64)))) |
(*.f64 (cbrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))) |
(*.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (cbrt.f64 x))) |
(*.f64 #s(literal 1 binary64) (cbrt.f64 x)) |
(pow.f64 (exp.f64 (log.f64 (neg.f64 x))) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 (neg.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x)) |
(pow.f64 (neg.f64 x) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64)) |
(pow.f64 x #s(literal 1/3 binary64)) |
(/.f64 (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (cbrt.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (cbrt.f64 x)) #s(literal -1 binary64)) |
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x)) |
(/.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))) |
(/.f64 (cbrt.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 (cbrt.f64 x))) |
(cbrt.f64 (neg.f64 x)) |
(cbrt.f64 x) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cbrt.f64 x))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 1/3 binary64))) |
(exp.f64 (log.f64 (cbrt.f64 x))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 x)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x)) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (cbrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(pow.f64 (exp.f64 #s(literal -4 binary64)) (log.f64 (sqrt.f64 x))) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -8 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -6 binary64)) |
(pow.f64 (neg.f64 x) #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) x) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(neg.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -2 binary64)) (log.f64 x))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (sqrt.f64 x)) #s(literal -2 binary64) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) |
Compiled 15 675 to 2 459 computations (84.3% saved)
57 alts after pruning (51 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 560 | 28 | 588 |
| Fresh | 10 | 23 | 33 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 571 | 57 | 628 |
| Status | Accuracy | Program |
|---|---|---|
| 5.9% | (fma.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)) (neg.f64 (cbrt.f64 x))) | |
| 9.6% | (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/12 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 7.2% | (fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (cbrt.f64 x))) | |
| 6.2% | (fma.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (cbrt.f64 x))) | |
| 11.5% | (/.f64 (fma.f64 #s(literal -1 binary64) x (+.f64 x #s(literal 1 binary64))) (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (-.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (log1p.f64 x)) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))))) | |
| 11.5% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (log1p.f64 x)))) | |
| 11.5% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (log1p.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (neg.f64 (cbrt.f64 (fma.f64 x x x))))) | |
| 7.8% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) | |
| 6.7% | (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x)) | |
| 9.4% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) | |
| ✓ | 8.4% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| ✓ | 4.1% | #s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64)) |
| 52.9% | #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))) | |
| 49.2% | #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))) | |
| 53.5% | #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))) | |
| 28.5% | #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 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x))) | |
| ✓ | 27.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
| 28.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.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))) | |
| ▶ | 74.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))))) |
| 74.7% | #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)) | |
| 27.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/729 binary64) x (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal 2 binary64)) #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 x) x)))))) (*.f64 x x))) | |
| 53.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) #s(literal -1 binary64))) (*.f64 x x))) | |
| 95.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (cbrt.f64 x))) | |
| 52.4% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (*.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))) (*.f64 x x))) | |
| 26.1% | #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))) | |
| ▶ | 95.5% | #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))))) |
| ▶ | 95.6% | #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)))) |
| 74.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) x))) | |
| ▶ | 95.5% | #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 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)))) | |
| 73.9% | #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))) | |
| 49.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) | |
| 88.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64))) | |
| 95.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) | |
| 95.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) | |
| ▶ | 88.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
| 69.0% | #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)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 x)))) | |
| 74.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (cbrt.f64 x) (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 x) x))) x) (/.f64 #s(literal -1 binary64) x))) | |
| 95.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) #s(literal 1/3 binary64))) | |
| ✓ | 95.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) |
| 88.2% | #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))) | |
| ✓ | 95.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) |
| 88.2% | #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))) | |
| 95.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))) | |
| 53.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal 1/3 binary64))) | |
| 95.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))) #s(literal 1/3 binary64))) | |
| 95.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) | |
| 95.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) (/.f64 #s(literal -1 binary64) (cbrt.f64 x)))) | |
| 88.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2/3 binary64))) #s(literal 1/3 binary64))) | |
| 54.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -8 binary64))) #s(literal 1/3 binary64))) | |
| 54.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -4 binary64))) #s(literal 1/3 binary64))) | |
| 54.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) | |
| ✓ | 54.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
| 52.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) | |
| 54.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) | |
| 70.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) x)) #s(literal -1 binary64)))) | |
| 54.6% | #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 2 163 to 1 622 computations (25% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.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 | 7040 | (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) | |
| cost-diff | 0 | (cbrt.f64 x) | |
| cost-diff | 0 | #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))))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))) | |
| cost-diff | 1024 | (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) | |
| 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 | (pow.f64 x #s(literal -2/3 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) | |
| cost-diff | 0 | #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)))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 214 |
| 0 | 50 | 215 |
| 1 | 73 | 195 |
| 2 | 118 | 195 |
| 3 | 219 | 191 |
| 4 | 451 | 187 |
| 5 | 837 | 187 |
| 6 | 1854 | 187 |
| 7 | 3185 | 187 |
| 8 | 4533 | 187 |
| 9 | 5460 | 187 |
| 0 | 8064 | 185 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(cbrt.f64 x) |
x |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 x #s(literal -2/3 binary64)) |
x |
#s(literal -2/3 binary64) |
#s(literal 1/3 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (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)) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))) |
#s(literal 1 binary64) |
(/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) |
(cbrt.f64 x) |
x |
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) |
#s(literal 1/3 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (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 -1 binary64)) |
x |
#s(literal -1 binary64) |
(/.f64 x (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 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 (cbrt.f64 x) x) |
(cbrt.f64 x) |
#s(literal 1/3 binary64) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) |
#s(literal -1/9 binary64) |
| Outputs |
|---|
#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)))) |
#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 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
(cbrt.f64 x) |
x |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64)))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2/3 binary64))) |
(pow.f64 x #s(literal -2/3 binary64)) |
x |
#s(literal -2/3 binary64) |
#s(literal 1/3 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (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)) (/.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 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) |
(*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(cbrt.f64 x) |
x |
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) |
#s(literal 1/3 binary64) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 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 #s(literal -1/9 binary64) x) #s(literal 1/3 binary64)) (/.f64 (cbrt.f64 x) x))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1/3 binary64)) (/.f64 (cbrt.f64 x) x)) |
(pow.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(/.f64 x (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) |
(/.f64 (/.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 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) |
#s(literal 1/3 binary64) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) |
#s(literal -1/9 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.36166000976844204 | (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) | |
| accuracy | 0.5485726074528623 | (cbrt.f64 x) | |
| accuracy | 0.7774566134164232 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))))) | |
| accuracy | 14.849454516156207 | (/.f64 x (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) | |
| accuracy | 0.38576127930532605 | (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) | |
| accuracy | 0.43978500976844204 | (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) | |
| accuracy | 0.5485726074528623 | (cbrt.f64 x) | |
| accuracy | 1.8708797951673903 | #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))))) | |
| accuracy | 0.4140625 | (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) | |
| accuracy | 0.5485726074528623 | (cbrt.f64 x) | |
| accuracy | 0.553066259768442 | (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) | |
| accuracy | 1.8708797951673903 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) | |
| accuracy | 0.38671875 | (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64)) | |
| accuracy | 1.8708797951673903 | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) | |
| accuracy | 5.8102316063686015 | (pow.f64 x #s(literal -2/3 binary64)) | |
| accuracy | 0.27734375 | (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) | |
| accuracy | 0.5485726074528623 | (cbrt.f64 x) | |
| accuracy | 0.553066259768442 | (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) | |
| accuracy | 1.8708797951673903 | #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)))) |
| 166.0ms | 195× | 1 | valid |
| 53.0ms | 49× | 2 | valid |
| 3.0ms | 12× | 0 | valid |
Compiled 384 to 65 computations (83.1% saved)
const: 51.0ms (30.7% of total)ival-div: 32.0ms (19.3% of total)ival-mult: 19.0ms (11.4% of total)ival-pow: 14.0ms (8.4% of total)ival-cbrt: 13.0ms (7.8% of total)adjust: 12.0ms (7.2% of total)ival-sub: 11.0ms (6.6% of total)ival-add: 6.0ms (3.6% of total)ival-pow2: 6.0ms (3.6% of total)ival-fabs: 1.0ms (0.6% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 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 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #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 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(cbrt.f64 x) |
(/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 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 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 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))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (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 -1 binary64)) |
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) |
(/.f64 x (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) |
| Outputs |
|---|
(* 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)) |
(* 3 (cbrt (pow x 2))) |
(cbrt (pow x 2)) |
(cbrt (/ 1 (pow x 2))) |
(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)) |
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) |
(/ 1 x) |
(* 1/3 (cbrt (/ 1 x))) |
(* -9 (cbrt (pow x 2))) |
(* x (+ (* -27 (cbrt (pow x 2))) (* -9 (cbrt (/ 1 x))))) |
(* x (+ (* -9 (cbrt (/ 1 x))) (* x (- (* -81 (cbrt (pow x 2))) (* 27 (cbrt (/ 1 x))))))) |
(* x (+ (* -9 (cbrt (/ 1 x))) (* x (- (* x (- (* -243 (cbrt (pow x 2))) (* 81 (cbrt (/ 1 x))))) (* 27 (cbrt (/ 1 x))))))) |
(/ (+ (* -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)) |
(+ (* -1/9 (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)))))) |
(* 3 (cbrt (/ 1 x))) |
(/ (+ (cbrt (/ 1 x)) (* 3 (cbrt (pow x 2)))) x) |
(/ (- (+ (* 1/3 (cbrt (/ 1 (pow x 4)))) (* 3 (cbrt (pow x 2)))) (* -1 (cbrt (/ 1 x)))) x) |
(/ (- (+ (* 1/9 (cbrt (/ 1 (pow x 7)))) (* 3 (cbrt (pow x 2)))) (+ (* -1 (cbrt (/ 1 x))) (* -1/3 (cbrt (/ 1 (pow x 4)))))) 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)) |
(* -3 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(* -1 (* (cbrt x) (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 (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))))) |
(* -3 (* (cbrt (/ 1 x)) (/ 1 (cbrt -1)))) |
(* -1 (/ (+ (* 3 (* (cbrt (pow x 2)) (/ 1 (cbrt -1)))) (* (cbrt (/ 1 x)) (/ 1 (cbrt -1)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1/3 (* (cbrt (/ 1 x)) (/ 1 (cbrt -1)))) (* (cbrt (pow x 2)) (/ 1 (cbrt -1)))) x)) (* 3 (* (cbrt (pow x 2)) (/ 1 (cbrt -1))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/9 (* (cbrt (/ 1 x)) (/ 1 (cbrt -1)))) (* -1/3 (* (cbrt (pow x 2)) (/ 1 (cbrt -1))))) x)) (* (cbrt (pow x 2)) (/ 1 (cbrt -1)))) x)) (* 3 (* (cbrt (pow x 2)) (/ 1 (cbrt -1))))) x)) |
(* 1/9 (* (cbrt x) (cbrt -1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | x | @ | -inf | ((/ 1 (* (pow (cbrt x) 2) 3)) (- (cbrt (+ x 1)) (cbrt x)) (* (pow (cbrt x) 2) 3) (pow (cbrt x) 2) (- (cbrt (+ x 1)) (cbrt x)) (* (pow x -2/3) 1/3) (pow x -2/3) (- (cbrt (+ x 1)) (cbrt x)) (/ 1/3 (pow (cbrt x) 2)) (cbrt x) (/ (cbrt x) (/ 1/3 (cbrt x))) (/ 1 (/ (cbrt x) (/ 1/3 (cbrt x)))) (- (cbrt (+ x 1)) (cbrt x)) (/ (pow x -1) (/ x (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x))))) (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x))) (- (cbrt (+ x 1)) (cbrt x)) (pow x -1) (/ 1/3 (cbrt x)) (/ x (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x)))) (* -1/9 (cbrt x))) |
| 12.0ms | x | @ | 0 | ((/ 1 (* (pow (cbrt x) 2) 3)) (- (cbrt (+ x 1)) (cbrt x)) (* (pow (cbrt x) 2) 3) (pow (cbrt x) 2) (- (cbrt (+ x 1)) (cbrt x)) (* (pow x -2/3) 1/3) (pow x -2/3) (- (cbrt (+ x 1)) (cbrt x)) (/ 1/3 (pow (cbrt x) 2)) (cbrt x) (/ (cbrt x) (/ 1/3 (cbrt x))) (/ 1 (/ (cbrt x) (/ 1/3 (cbrt x)))) (- (cbrt (+ x 1)) (cbrt x)) (/ (pow x -1) (/ x (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x))))) (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x))) (- (cbrt (+ x 1)) (cbrt x)) (pow x -1) (/ 1/3 (cbrt x)) (/ x (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x)))) (* -1/9 (cbrt x))) |
| 8.0ms | x | @ | inf | ((/ 1 (* (pow (cbrt x) 2) 3)) (- (cbrt (+ x 1)) (cbrt x)) (* (pow (cbrt x) 2) 3) (pow (cbrt x) 2) (- (cbrt (+ x 1)) (cbrt x)) (* (pow x -2/3) 1/3) (pow x -2/3) (- (cbrt (+ x 1)) (cbrt x)) (/ 1/3 (pow (cbrt x) 2)) (cbrt x) (/ (cbrt x) (/ 1/3 (cbrt x))) (/ 1 (/ (cbrt x) (/ 1/3 (cbrt x)))) (- (cbrt (+ x 1)) (cbrt x)) (/ (pow x -1) (/ x (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x))))) (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x))) (- (cbrt (+ x 1)) (cbrt x)) (pow x -1) (/ 1/3 (cbrt x)) (/ x (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x)))) (* -1/9 (cbrt x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 199 | 750 |
| 1 | 502 | 694 |
| 2 | 1229 | 691 |
| 3 | 3285 | 676 |
| 4 | 7798 | 676 |
| 0 | 8872 | 639 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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)) |
(* 3 (cbrt (pow x 2))) |
(cbrt (pow x 2)) |
(cbrt (/ 1 (pow x 2))) |
(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)) |
(+ (* -1/9 (cbrt x)) (* 1/3 (cbrt (pow x 4)))) |
(/ 1 x) |
(* 1/3 (cbrt (/ 1 x))) |
(* -9 (cbrt (pow x 2))) |
(* x (+ (* -27 (cbrt (pow x 2))) (* -9 (cbrt (/ 1 x))))) |
(* x (+ (* -9 (cbrt (/ 1 x))) (* x (- (* -81 (cbrt (pow x 2))) (* 27 (cbrt (/ 1 x))))))) |
(* x (+ (* -9 (cbrt (/ 1 x))) (* x (- (* x (- (* -243 (cbrt (pow x 2))) (* 81 (cbrt (/ 1 x))))) (* 27 (cbrt (/ 1 x))))))) |
(/ (+ (* -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)) |
(+ (* -1/9 (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)))))) |
(* 3 (cbrt (/ 1 x))) |
(/ (+ (cbrt (/ 1 x)) (* 3 (cbrt (pow x 2)))) x) |
(/ (- (+ (* 1/3 (cbrt (/ 1 (pow x 4)))) (* 3 (cbrt (pow x 2)))) (* -1 (cbrt (/ 1 x)))) x) |
(/ (- (+ (* 1/9 (cbrt (/ 1 (pow x 7)))) (* 3 (cbrt (pow x 2)))) (+ (* -1 (cbrt (/ 1 x))) (* -1/3 (cbrt (/ 1 (pow x 4)))))) 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)) |
(* -3 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(* -1 (* (cbrt x) (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 (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))))) |
(* -3 (* (cbrt (/ 1 x)) (/ 1 (cbrt -1)))) |
(* -1 (/ (+ (* 3 (* (cbrt (pow x 2)) (/ 1 (cbrt -1)))) (* (cbrt (/ 1 x)) (/ 1 (cbrt -1)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1/3 (* (cbrt (/ 1 x)) (/ 1 (cbrt -1)))) (* (cbrt (pow x 2)) (/ 1 (cbrt -1)))) x)) (* 3 (* (cbrt (pow x 2)) (/ 1 (cbrt -1))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/9 (* (cbrt (/ 1 x)) (/ 1 (cbrt -1)))) (* -1/3 (* (cbrt (pow x 2)) (/ 1 (cbrt -1))))) x)) (* (cbrt (pow x 2)) (/ 1 (cbrt -1)))) x)) (* 3 (* (cbrt (pow x 2)) (/ 1 (cbrt -1))))) x)) |
(* 1/9 (* (cbrt x) (cbrt -1))) |
| Outputs |
|---|
(* 1/3 (cbrt (/ 1 (pow x 2)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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 #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))) |
(* 3 (cbrt (pow x 2))) |
(*.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64)) |
(cbrt (pow x 2)) |
(cbrt.f64 (*.f64 x x)) |
(cbrt (/ 1 (pow x 2))) |
(cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cbrt x) |
(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)) |
(*.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 x) |
(/.f64 #s(literal 1 binary64) x) |
(* 1/3 (cbrt (/ 1 x))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(* -9 (cbrt (pow x 2))) |
(*.f64 #s(literal -9 binary64) (cbrt.f64 (*.f64 x x))) |
(* x (+ (* -27 (cbrt (pow x 2))) (* -9 (cbrt (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -27 binary64) (cbrt.f64 (*.f64 x x)) (*.f64 #s(literal -9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* x (+ (* -9 (cbrt (/ 1 x))) (* x (- (* -81 (cbrt (pow x 2))) (* 27 (cbrt (/ 1 x))))))) |
(*.f64 (fma.f64 (*.f64 x #s(literal -81 binary64)) (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -27 binary64) x #s(literal -9 binary64)))) x) |
(* x (+ (* -9 (cbrt (/ 1 x))) (* x (- (* x (- (* -243 (cbrt (pow x 2))) (* 81 (cbrt (/ 1 x))))) (* 27 (cbrt (/ 1 x))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -81 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -243 binary64) (cbrt.f64 (*.f64 x x)))) (*.f64 x x) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -27 binary64) x #s(literal -9 binary64)))) 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 #s(literal 1 binary64) (*.f64 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 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (*.f64 x x)) |
(+ (* -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)) |
(* 3 (cbrt (/ 1 x))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(/ (+ (cbrt (/ 1 x)) (* 3 (cbrt (pow x 2)))) x) |
(/.f64 (fma.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(/ (- (+ (* 1/3 (cbrt (/ 1 (pow x 4)))) (* 3 (cbrt (pow x 2)))) (* -1 (cbrt (/ 1 x)))) x) |
(/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(/ (- (+ (* 1/9 (cbrt (/ 1 (pow x 7)))) (* 3 (cbrt (pow x 2)))) (+ (* -1 (cbrt (/ 1 x))) (* -1/3 (cbrt (/ 1 (pow x 4)))))) x) |
(/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/9 binary64) (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64) (cbrt.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 #s(literal 1 binary64) (*.f64 x x)))) |
(/ (+ (* 1/9 (* (cbrt x) (/ 1 (pow (cbrt -1) 5)))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(/ (+ (* -1 (/ (+ (* -1/9 (* (cbrt (pow x 10)) (/ 1 (pow (cbrt -1) 5)))) (* -5/81 (* (cbrt (pow x 7)) (/ 1 (pow (cbrt -1) 8))))) (pow x 3))) (* 1/3 (* (cbrt (pow x 4)) (/ 1 (pow (cbrt -1) 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) #s(literal 5/81 binary64) (*.f64 (/.f64 #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 (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)) |
(* -3 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(*.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64)) |
(* -1 (* (cbrt (pow x 2)) (pow (cbrt -1) 3))) |
(cbrt.f64 (*.f64 x x)) |
(* -1 (* (cbrt x) (cbrt -1))) |
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 x)) |
(* -1/3 (* (cbrt (/ 1 (pow x 2))) (cbrt -1))) |
(*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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 #s(literal 1 binary64) (*.f64 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 (pow x 4)) (cbrt -1))) |
(*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal -1/3 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 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/9 binary64)))) |
(* -3 (* (cbrt (/ 1 x)) (/ 1 (cbrt -1)))) |
(*.f64 (/.f64 #s(literal -3 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (/ (+ (* 3 (* (cbrt (pow x 2)) (/ 1 (cbrt -1)))) (* (cbrt (/ 1 x)) (/ 1 (cbrt -1)))) x)) |
(/.f64 (/.f64 (fma.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) x) |
(* -1 (/ (+ (* -1 (/ (- (* -1/3 (* (cbrt (/ 1 x)) (/ 1 (cbrt -1)))) (* (cbrt (pow x 2)) (/ 1 (cbrt -1)))) x)) (* 3 (* (cbrt (pow x 2)) (/ 1 (cbrt -1))))) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal -3 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (*.f64 x x)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (cbrt.f64 (*.f64 x x)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) x))) x) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/9 (* (cbrt (/ 1 x)) (/ 1 (cbrt -1)))) (* -1/3 (* (cbrt (pow x 2)) (/ 1 (cbrt -1))))) x)) (* (cbrt (pow x 2)) (/ 1 (cbrt -1)))) x)) (* 3 (* (cbrt (pow x 2)) (/ 1 (cbrt -1))))) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal -3 binary64) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (*.f64 x x)) (/.f64 (fma.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) x)) #s(literal -1/9 binary64) (*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)))) x)) x) |
(* 1/9 (* (cbrt x) (cbrt -1))) |
(*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 1/9 binary64)) (cbrt.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 183 |
| 0 | 50 | 190 |
| 1 | 171 | 154 |
| 2 | 960 | 152 |
| 0 | 8308 | 147 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 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 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal -2/3 binary64)) #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 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(cbrt.f64 x) |
(/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 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 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 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))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (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 -1 binary64)) |
(/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) |
(/.f64 x (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) #s(literal -1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal -1/6 binary64))) (pow.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (neg.f64 (cbrt.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (cbrt.f64 x)) (/.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 3 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 #s(literal 3 binary64) (cbrt.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64))) (/.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (*.f64 (/.f64 #s(literal -1/3 binary64) (cbrt.f64 x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1/3 binary64) (cbrt.f64 x))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal -1/3 binary64)) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64)) |
(*.f64 (/.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 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #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) (cbrt.f64 x)) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/3 binary64) (*.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))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal -3 binary64) (cbrt.f64 x))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) (cbrt.f64 x))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -3 binary64)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) #s(literal -1/3 binary64)) (cbrt.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (cbrt.f64 x))) |
(/.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (cbrt.f64 x)) #s(literal 1 binary64)) (neg.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (*.f64 #s(literal -3 binary64) (cbrt.f64 x))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1/3 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal -3 binary64)) |
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (cbrt.f64 x))) |
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1/3 binary64) (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 #s(literal -1 binary64) (*.f64 #s(literal -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 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1/3 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cbrt.f64 x))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1/3 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) #s(literal -1 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 (*.f64 #s(literal -3 binary64) (cbrt.f64 x)) #s(literal -1 binary64)) (cbrt.f64 x)) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cbrt.f64 x))) (*.f64 #s(literal -3 binary64) (cbrt.f64 x))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/6 binary64))) (/.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/6 binary64))) (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal -1/6 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/6 binary64))) (/.f64 (*.f64 #s(literal 3 binary64) (cbrt.f64 x)) (pow.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1/3 binary64)) (/.f64 (pow.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal -1 binary64) (cbrt.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1/3 binary64)) (/.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) (cbrt.f64 x))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (cbrt.f64 x))) |
(*.f64 (*.f64 #s(literal -3 binary64) (cbrt.f64 x)) (*.f64 (neg.f64 (cbrt.f64 x)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal -3 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cbrt.f64 x)))) |
(*.f64 (*.f64 #s(literal -3 binary64) (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal 3 binary64) (cbrt.f64 x)))) |
(*.f64 #s(literal -3 binary64) (/.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))) |
(*.f64 #s(literal -3 binary64) (/.f64 (cbrt.f64 x) (/.f64 #s(literal -1 binary64) (cbrt.f64 x)))) |
(*.f64 #s(literal -3 binary64) (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -3 binary64) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal -3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (cbrt.f64 x)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (cbrt.f64 x)) (cbrt.f64 x)) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -3 binary64)) |
(*.f64 (neg.f64 (cbrt.f64 x)) (*.f64 (*.f64 #s(literal -3 binary64) (cbrt.f64 x)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (cbrt.f64 x)) (*.f64 #s(literal -3 binary64) (cbrt.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 #s(literal 3 binary64) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))) |
(*.f64 #s(literal 3 binary64) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(*.f64 (cbrt.f64 x) (*.f64 #s(literal 3 binary64) (cbrt.f64 x))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/3 binary64)) |
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(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) x)) |
(/.f64 x (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))))) |
(fma.f64 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1/81 binary64)))) (*.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64)) (*.f64 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1/81 binary64)))) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)))) |
(fma.f64 (/.f64 x (*.f64 x (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/729 binary64)))) (*.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))) (*.f64 (/.f64 x (*.f64 x (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/729 binary64)))) (pow.f64 (*.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 x (*.f64 x (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/729 binary64)))) (pow.f64 (*.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 x (*.f64 x (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/729 binary64)))) (*.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))) (/.f64 x (*.f64 x (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/729 binary64)))) (*.f64 (pow.f64 (*.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 x (*.f64 x (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/729 binary64)))))) |
(fma.f64 (pow.f64 (*.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 x (*.f64 x (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/729 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))) (/.f64 x (*.f64 x (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/729 binary64)))))) |
(fma.f64 (*.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64)) (/.f64 x (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1/81 binary64)))) (*.f64 (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)) (/.f64 x (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1/81 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (cbrt.f64 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))) (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))))) |
(+.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64)) (/.f64 x (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1/81 binary64))))) (*.f64 (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)) (/.f64 x (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1/81 binary64)))))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))) (/.f64 x (*.f64 x (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/729 binary64))))) (*.f64 (pow.f64 (*.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 x (*.f64 x (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/729 binary64)))))) |
(+.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 x (*.f64 x (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/729 binary64))))) (*.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))) (/.f64 x (*.f64 x (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/729 binary64)))))) |
(+.f64 (*.f64 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1/81 binary64)))) (*.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64))) (*.f64 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1/81 binary64)))) (*.f64 #s(literal 1/9 binary64) (cbrt.f64 x)))) |
(+.f64 (*.f64 (/.f64 x (*.f64 x (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/729 binary64)))) (*.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))))) (*.f64 (/.f64 x (*.f64 x (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/729 binary64)))) (pow.f64 (*.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 x (*.f64 x (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/729 binary64)))) (pow.f64 (*.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 x (*.f64 x (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/729 binary64)))) (*.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1/9 binary64))) |
(*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) #s(literal -1/9 binary64)) |
Compiled 26 237 to 3 552 computations (86.5% saved)
56 alts after pruning (48 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 908 | 24 | 932 |
| Fresh | 22 | 24 | 46 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 5 | 6 |
| Total | 933 | 56 | 989 |
| Status | Accuracy | Program |
|---|---|---|
| 5.9% | (fma.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)) (neg.f64 (cbrt.f64 x))) | |
| 9.6% | (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/12 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 7.2% | (fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (cbrt.f64 x))) | |
| 6.2% | (fma.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (cbrt.f64 x))) | |
| 11.5% | (/.f64 (fma.f64 #s(literal -1 binary64) x (+.f64 x #s(literal 1 binary64))) (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (-.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (log1p.f64 x)) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))))) | |
| 11.5% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (log1p.f64 x)))) | |
| 11.5% | (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (log1p.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (neg.f64 (cbrt.f64 (fma.f64 x x x))))) | |
| 7.8% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) | |
| 6.7% | (-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x)) | |
| 9.4% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) | |
| ✓ | 8.4% | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| ✓ | 4.1% | #s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64)) |
| 53.5% | #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))) | |
| 28.5% | #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 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x))) | |
| ✓ | 27.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) (*.f64 x x))) |
| 28.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.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))) | |
| 74.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))) (/.f64 #s(literal -1 binary64) x)))) | |
| 28.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x #s(approx (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt 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))))))) | |
| 97.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (/.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))))) | |
| 97.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 x (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))))) | |
| 74.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))))))) | |
| 54.8% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (/ x (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x)))) (/.f64 (fma.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) x)))) | |
| 96.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (/ x (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) | |
| 74.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) x) (neg.f64 x))) | |
| 74.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))))) | |
| 53.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (*.f64 x x))) | |
| 97.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x)) x)) | |
| 95.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) #s(approx (/ 1/3 (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))))) | |
| ✓ | 95.6% | #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)))) |
| 88.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) | |
| 74.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))) x))) | |
| 95.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (cbrt.f64 x)) (cbrt.f64 x)))) | |
| 53.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64)))) | |
| ✓ | 95.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
| 88.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2/3 binary64)))) | |
| 53.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))) | |
| 73.9% | #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))) | |
| 49.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) | |
| 88.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -4/3 binary64)) #s(literal 1/3 binary64))) | |
| 95.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) | |
| ✓ | 88.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
| 97.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x)))) | |
| 95.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) #s(literal 1/3 binary64))) | |
| ✓ | 95.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) |
| 88.2% | #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))) | |
| 88.2% | #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))) | |
| 97.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x)) (pow.f64 x #s(literal 1/2 binary64))))) | |
| 53.1% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal 1/3 binary64))) | |
| 74.7% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) x))) | |
| 97.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))) | |
| 95.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) | |
| ✓ | 54.5% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
| 52.9% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) | |
| 54.6% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) | |
| 56.3% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 x) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) (pow.f64 x #s(literal -2 binary64))))) | |
| 70.2% | #s(approx (- (cbrt (+ x 1)) (cbrt x)) (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))) x)) #s(literal -1 binary64)))) |
Compiled 3 235 to 1 328 computations (58.9% saved)
| Inputs |
|---|
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 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 #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 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.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) (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #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 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (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 (neg.f64 (cbrt.f64 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) x) (neg.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.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(literal -1 binary64) x) (/.f64 (*.f64 (neg.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(literal -1 binary64) x) (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal 1/3 binary64))) |
#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 (exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 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 (cbrt.f64 x) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) (pow.f64 x #s(literal -2 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 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (cbrt.f64 x)) (cbrt.f64 x)))) |
#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 (/.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 (/.f64 #s(literal 1 binary64) (/.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 (pow.f64 x #s(literal -1 binary64)) (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (/ x (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) |
#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))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (cbrt.f64 x))) (/.f64 #s(literal -1 binary64) (cbrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (neg.f64 x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) #s(literal 1/3 binary64))) |
(-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 x)) (/.f64 #s(literal -1 binary64) (cbrt.f64 x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (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 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) #s(approx (/ 1/3 (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #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))) x) x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (cbrt.f64 x) (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 x) x))) x) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (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 (pow.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 x (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))) (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -8 binary64))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))) #s(literal 1/3 binary64))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/3 binary64))) (cbrt.f64 x)) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) #s(literal 1/3 binary64))) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/12 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/6 binary64)))) |
(fma.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)) (neg.f64 (cbrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) x)) #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)) (cbrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)) #s(literal 1/3 binary64))) |
(-.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 (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))) |
(fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (cbrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))) x)) #s(literal -1 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (*.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (/.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 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 (+ x 1)) (cbrt x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 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 (pow.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))) #s(literal -1 binary64))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (/ x (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt x)))) (/.f64 (fma.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x)) (pow.f64 x #s(literal 1/2 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)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 x)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(approx (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (*.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))) (*.f64 x x))) |
(-.f64 (cbrt.f64 (exp.f64 (log1p.f64 x))) (cbrt.f64 x)) |
(-.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log1p.f64 x)) (cbrt.f64 x)) |
(-.f64 (pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1/3 binary64)) (cbrt.f64 x)) |
(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))) |
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) |
(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 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (cbrt.f64 x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x #s(approx (+ (* (* (cbrt x) x) 1/3) (* -1/9 (cbrt 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))))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 (cbrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) x)) #s(literal -1 binary64)))) |
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) (*.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/3 binary64))) x)) |
#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 #s(literal 1 binary64) (*.f64 x x))) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))) (*.f64 x x))) |
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))) (cbrt.f64 x)) |
(-.f64 (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)))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (log1p.f64 x)))) |
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (log1p.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (neg.f64 (cbrt.f64 (fma.f64 x x x))))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.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))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -10/243 binary64) (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/3 binary64) (fma.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 5/81 binary64) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x))))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/729 binary64) x (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) #s(literal 2 binary64)) #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)) (fma.f64 #s(literal -1/9 binary64) (cbrt.f64 x) (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 x) x)))))) (*.f64 x x))) |
(/.f64 (fma.f64 #s(literal -1 binary64) x (+.f64 x #s(literal 1 binary64))) (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (-.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (log1p.f64 x)) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))))) |
(-.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt 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 (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))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x)) x)) |
2 calls:
| 135.0ms | x |
| 24.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 1 | x |
| 97.9% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 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 #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 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.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) (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #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 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (*.f64 x x))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (*.f64 x x))) |
#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))) |
2 calls:
| 6.0ms | x |
| 5.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.9% | 2 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 93.3% | 2 | x |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 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 #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 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.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) (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (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 binary64) (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal 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))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.7% | 2 | x |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 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 #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 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.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) (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) |
1 calls:
| 101.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.7% | 2 | x |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 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 #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 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#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 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 2 | x |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 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 #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 binary64) (*.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/3 binary64))) |
| 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 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64))) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 2 | x |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 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)))) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 2 | x |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 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 |
| 2.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.2% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 88.2% | 1 | x |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(-.f64 #s(approx (cbrt (+ x 1)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64))) (cbrt.f64 x)) |
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 x #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.2% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 88.2% | 1 | x |
Compiled 8 to 7 computations (12.5% saved)
Total -1.5b remaining (-2.4%)
Threshold costs -1.5b (-2.4%)
| Inputs |
|---|
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64)) |
(-.f64 #s(approx (cbrt (+ x 1)) #s(literal 1 binary64)) (cbrt.f64 x)) |
| Outputs |
|---|
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64)) |
2 calls:
| 109.0ms | x |
| 1.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.1% | 1 | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
| 4.1% | 1 | x |
Compiled 8 to 7 computations (12.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 7.956457228053067e+151 | 5.19473147488433e+155 |
| 12.0ms | 128× | 1 | valid |
Compiled 290 to 250 computations (13.8% saved)
ival-cbrt: 4.0ms (46.5% of total)adjust: 2.0ms (23.2% of total)ival-add: 2.0ms (23.2% of total)ival-sub: 1.0ms (11.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7.956457228053067e+151 | 5.19473147488433e+155 |
Compiled 266 to 242 computations (9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7.956457228053067e+151 | 5.19473147488433e+155 |
Compiled 258 to 234 computations (9.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7.956457228053067e+151 | 5.19473147488433e+155 |
Compiled 258 to 234 computations (9.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7.956457228053067e+151 | 5.19473147488433e+155 |
Compiled 242 to 218 computations (9.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7.956457228053067e+151 | 5.19473147488433e+155 |
Compiled 226 to 202 computations (10.6% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 266 |
| 1 | 70 | 266 |
| 2 | 74 | 266 |
| 3 | 84 | 266 |
| 4 | 102 | 266 |
| 5 | 131 | 266 |
| 6 | 209 | 266 |
| 7 | 425 | 266 |
| 8 | 498 | 266 |
| 9 | 604 | 266 |
| 10 | 761 | 266 |
| 11 | 1006 | 266 |
| 12 | 1472 | 266 |
| 13 | 3134 | 266 |
| 14 | 4803 | 266 |
| 15 | 5832 | 266 |
| 16 | 6526 | 266 |
| 17 | 6875 | 266 |
| 18 | 6985 | 266 |
| 19 | 7016 | 266 |
| 20 | 7037 | 266 |
| 21 | 7049 | 266 |
| 22 | 7049 | 266 |
| 23 | 7049 | 266 |
| 24 | 7049 | 266 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x)) x)) |
(if (<=.f64 x #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (*.f64 x x))) #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)))) |
(if (<=.f64 x #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal 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)))) |
(if (<=.f64 x #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64)))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)))) |
(if (<=.f64 x #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal 1/3 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)))) |
(if (<=.f64 x #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)))) |
(if (<=.f64 x #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 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))) |
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64)) |
| Outputs |
|---|
#s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x)) x)) |
(if (<=.f64 x #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (*.f64 x x))) #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)))) |
(if (<=.f64 x #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (*.f64 x x))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (pow.f64 (sqrt.f64 x) #s(literal 4/3 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) |
(if (<=.f64 x #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal 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)))) |
(if (<=.f64 x #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (pow.f64 (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (pow.f64 (sqrt.f64 x) #s(literal 4/3 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) |
(if (<=.f64 x #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64)))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)))) |
(if (<=.f64 x #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (pow.f64 (*.f64 (cbrt.f64 (*.f64 x x)) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) |
(if (<=.f64 x #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x x))) #s(literal 1/3 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)))) |
(if (<=.f64 x #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1/3 binary64))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) |
(if (<=.f64 x #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2/3 binary64))) #s(literal 1/3 binary64)))) |
(if (<=.f64 x #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (*.f64 x x)))) #s(approx (- (cbrt (+ x 1)) (cbrt x)) (*.f64 (pow.f64 (pow.f64 x #s(literal 2/3 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) |
(if (<=.f64 x #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 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))) |
#s(approx (- (pow (exp 1/3) (log (+ 1 x))) (cbrt x)) #s(literal 0 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 183 |
| 0 | 50 | 190 |
| 1 | 171 | 154 |
| 2 | 960 | 152 |
| 0 | 8308 | 147 |
| 0 | 44 | 179 |
| 0 | 66 | 180 |
| 1 | 214 | 150 |
| 2 | 1228 | 148 |
| 0 | 8377 | 133 |
| 0 | 146 | 539 |
| 1 | 350 | 501 |
| 2 | 902 | 501 |
| 3 | 2619 | 498 |
| 4 | 6064 | 498 |
| 0 | 8190 | 465 |
| 0 | 254 | 1078 |
| 1 | 675 | 1005 |
| 2 | 2027 | 975 |
| 3 | 5252 | 887 |
| 0 | 8253 | 837 |
| 0 | 30 | 130 |
| 0 | 52 | 107 |
| 1 | 186 | 99 |
| 2 | 1295 | 99 |
| 0 | 8618 | 95 |
| 0 | 6 | 16 |
| 0 | 10 | 16 |
| 1 | 43 | 16 |
| 2 | 282 | 16 |
| 3 | 3101 | 16 |
| 0 | 9092 | 16 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 890 to 581 computations (34.7% saved)
Compiled 596 to 158 computations (73.5% saved)
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