
Time bar (total: 10.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 2 |
| 66.7% | 50% | 25% | 0% | 0% | 25% | 0% | 3 |
| 80% | 50% | 12.5% | 0% | 0% | 37.5% | 0% | 4 |
| 88.9% | 50% | 6.2% | 0% | 0% | 43.7% | 0% | 5 |
| 94.1% | 50% | 3.1% | 0% | 0% | 46.9% | 0% | 6 |
| 97% | 50% | 1.6% | 0% | 0% | 48.4% | 0% | 7 |
| 98.5% | 50% | 0.8% | 0% | 0% | 49.2% | 0% | 8 |
| 99.2% | 50% | 0.4% | 0% | 0% | 49.6% | 0% | 9 |
| 99.6% | 50% | 0.2% | 0% | 0% | 49.8% | 0% | 10 |
| 99.8% | 50% | 0.1% | 0% | 0% | 49.9% | 0% | 11 |
| 99.9% | 50% | 0% | 0% | 0% | 49.9% | 0% | 12 |
Compiled 16 to 12 computations (25% saved)
ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)const: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1.1s | 8256× | 0 | valid |
| 1.0ms | 8× | 0 | invalid |
ival-mult: 367.0ms (40.7% of total)ival-add: 166.0ms (18.4% of total)ival-sqrt: 151.0ms (16.8% of total)ival-sub: 140.0ms (15.5% of total)ival-div: 54.0ms (6% of total)const: 19.0ms (2.1% of total)backward-pass: 3.0ms (0.3% of total)| 2× | egg-herbie |
| 2438× | fnmadd-define |
| 2132× | fnmadd-define |
| 1572× | sum3-define |
| 1546× | fmsub-define |
| 1446× | fnmsub-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 46 |
| 1 | 52 | 43 |
| 2 | 138 | 40 |
| 3 | 377 | 38 |
| 4 | 1044 | 38 |
| 5 | 2723 | 38 |
| 6 | 5935 | 38 |
| 0 | 11 | 13 |
| 1 | 25 | 13 |
| 2 | 49 | 12 |
| 3 | 66 | 12 |
| 4 | 87 | 12 |
| 5 | 133 | 12 |
| 6 | 212 | 12 |
| 7 | 396 | 12 |
| 8 | 812 | 12 |
| 9 | 1391 | 12 |
| 10 | 3191 | 12 |
| 11 | 5730 | 12 |
| 12 | 6123 | 12 |
| 13 | 6131 | 12 |
| 0 | 6131 | 12 |
| 1× | iter limit |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) |
| Outputs |
|---|
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) |
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) |
| Inputs |
|---|
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) |
(/ (* 6 (- (neg x) 1)) (+ (+ (neg x) 1) (* 4 (sqrt (neg x))))) |
(neg (/ (* 6 (- (neg x) 1)) (+ (+ (neg x) 1) (* 4 (sqrt (neg x)))))) |
| Outputs |
|---|
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) |
(/ (fnmsub x -6 6) (fmsub 4 (sqrt x) (- -1 x))) |
(/ (* 6 (- (neg x) 1)) (+ (+ (neg x) 1) (* 4 (sqrt (neg x))))) |
(/ (fnmsub 6 x 6) (fnmsub (sqrt (neg x)) -4 (+ x -1))) |
(neg (/ (* 6 (- (neg x) 1)) (+ (+ (neg x) 1) (* 4 (sqrt (neg x)))))) |
(/ (fnmsub 6 x 6) (fnmsub 4 (sqrt (neg x)) (- 1 x))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
| 0 | 0 | - | 0 | - | (-.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 6 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (sqrt.f64 x) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 51.0ms | 480× | 0 | valid |
| 4.0ms | 14× | 2 | valid |
| 4.0ms | 18× | 1 | valid |
Compiled 105 to 35 computations (66.7% saved)
ival-mult: 8.0ms (28.6% of total)ival-add: 5.0ms (17.9% of total)ival-div: 4.0ms (14.3% of total)ival-sub: 4.0ms (14.3% of total)ival-sqrt: 4.0ms (14.3% of total)const: 1.0ms (3.6% of total)backward-pass: 1.0ms (3.6% of total)Compiled 15 to 12 computations (20% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) |
| ▶ | 99.8% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
Compiled 30 to 23 computations (23.3% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 6 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
| ✓ | cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| 1704× | fnmadd-define |
| 1116× | fma-define |
| 1056× | sum5-define |
| 1030× | fmsub-define |
| 1028× | fnmsub-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 86 |
| 1 | 44 | 82 |
| 2 | 81 | 81 |
| 3 | 131 | 81 |
| 4 | 205 | 81 |
| 5 | 447 | 81 |
| 6 | 1008 | 81 |
| 7 | 2246 | 81 |
| 8 | 3689 | 81 |
| 9 | 5364 | 81 |
| 10 | 5376 | 81 |
| 0 | 5376 | 81 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) |
(* 6 (- x 1)) |
6 |
(- x 1) |
x |
1 |
(+ (+ x 1) (* 4 (sqrt x))) |
(+ x 1) |
(* 4 (sqrt x)) |
4 |
(sqrt x) |
(/ (+ (* 6 x) -6) (+ x (- 1 (* (sqrt x) -4)))) |
(+ (* 6 x) -6) |
(* 6 x) |
6 |
x |
-6 |
(+ x (- 1 (* (sqrt x) -4))) |
(- 1 (* (sqrt x) -4)) |
1 |
(* (sqrt x) -4) |
(sqrt x) |
-4 |
| Outputs |
|---|
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) |
(/.f64 (*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(* 6 (- x 1)) |
(*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) |
6 |
#s(literal 6 binary64) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
x |
1 |
#s(literal 1 binary64) |
(+ (+ x 1) (* 4 (sqrt x))) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
(* 4 (sqrt x)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
4 |
#s(literal 4 binary64) |
(sqrt x) |
(sqrt.f64 x) |
(/ (+ (* 6 x) -6) (+ x (- 1 (* (sqrt x) -4)))) |
(/.f64 (*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(+ (* 6 x) -6) |
(*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
6 |
#s(literal 6 binary64) |
x |
-6 |
#s(literal -6 binary64) |
(+ x (- 1 (* (sqrt x) -4))) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(- 1 (* (sqrt x) -4)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
1 |
#s(literal 1 binary64) |
(* (sqrt x) -4) |
(*.f64 (sqrt.f64 x) #s(literal -4 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
-4 |
#s(literal -4 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) |
| ✓ | accuracy | 99.9% | (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
| ✓ | accuracy | 99.9% | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| 72.0ms | 240× | 0 | valid |
| 5.0ms | 7× | 2 | valid |
| 4.0ms | 9× | 1 | valid |
Compiled 92 to 20 computations (78.3% saved)
ival-add: 38.0ms (66.4% of total)ival-mult: 8.0ms (14% of total)ival-div: 4.0ms (7% of total)ival-sub: 3.0ms (5.2% of total)backward-pass: 2.0ms (3.5% of total)ival-sqrt: 2.0ms (3.5% of total)const: 1.0ms (1.7% of total)| Inputs |
|---|
#<alt (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))> |
#<alt (* 6 (- x 1))> |
#<alt (- x 1)> |
#<alt (+ (+ x 1) (* 4 (sqrt x)))> |
#<alt (/ (+ (* 6 x) -6) (+ x (- 1 (* (sqrt x) -4))))> |
#<alt (+ (* 6 x) -6)> |
#<alt (* 6 x)> |
#<alt (+ x (- 1 (* (sqrt x) -4)))> |
#<alt (sqrt x)> |
| Outputs |
|---|
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))> |
#<alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))> |
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))> |
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))> |
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))> |
#<alt (- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))> |
#<alt (- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))> |
#<alt (- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))> |
#<alt -6> |
#<alt (- (* 6 x) 6)> |
#<alt (- (* 6 x) 6)> |
#<alt (- (* 6 x) 6)> |
#<alt (* 6 x)> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* 6 x)> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt -1> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt x> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt x> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))> |
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))> |
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))> |
#<alt (/ -6 (- 1 (* -4 (sqrt x))))> |
#<alt (- (* x (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))> |
#<alt (- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))> |
#<alt (- (* x (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))) (- 1 (* -4 (sqrt x)))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))> |
#<alt (/ 6 (- 1 (* -4 (sqrt (/ 1 x)))))> |
#<alt (+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))))> |
#<alt (- (+ (* 6 (/ 1 (* (pow x 2) (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))))> |
#<alt (- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))))))> |
#<alt (/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) x)) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4)))) x)) (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))))) x)) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt -6> |
#<alt (- (* 6 x) 6)> |
#<alt (- (* 6 x) 6)> |
#<alt (- (* 6 x) 6)> |
#<alt (* 6 x)> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* 6 x)> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (- 1 (* -4 (sqrt x)))> |
#<alt (- (+ 1 x) (* -4 (sqrt x)))> |
#<alt (- (+ 1 x) (* -4 (sqrt x)))> |
#<alt (- (+ 1 x) (* -4 (sqrt x)))> |
#<alt (* x (- 1 (* -4 (sqrt (/ 1 x)))))> |
#<alt (* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))> |
#<alt (* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))> |
#<alt (* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))> |
#<alt (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) |
| 1.0ms | x | @ | -inf | (/ (+ (* 6 x) -6) (+ x (- 1 (* (sqrt x) -4)))) |
| 1.0ms | x | @ | inf | (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) |
| 1.0ms | x | @ | inf | (/ (+ (* 6 x) -6) (+ x (- 1 (* (sqrt x) -4)))) |
| 1.0ms | x | @ | 0 | (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) |
| 1× | batch-egg-rewrite |
| 3772× | /-lowering-/.f32 |
| 3772× | /-lowering-/.f64 |
| 3166× | *-lowering-*.f32 |
| 3166× | *-lowering-*.f64 |
| 2142× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 58 |
| 1 | 123 | 54 |
| 2 | 1139 | 54 |
| 0 | 8866 | 54 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) |
(* 6 (- x 1)) |
(- x 1) |
(+ (+ x 1) (* 4 (sqrt x))) |
(/ (+ (* 6 x) -6) (+ x (- 1 (* (sqrt x) -4)))) |
(+ (* 6 x) -6) |
(* 6 x) |
(+ x (- 1 (* (sqrt x) -4))) |
(sqrt x) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (/.f64 (/.f64 #s(literal 36 binary64) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (*.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))) (/.f64 #s(literal 36 binary64) (*.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))))) |
(neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64)))) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64)))) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))) |
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) |
(/.f64 (-.f64 #s(literal 6 binary64) (*.f64 #s(literal 6 binary64) x)) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64)))) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) (*.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64)) (*.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64))) (neg.f64 (*.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64))) (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64)))) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64))) (neg.f64 (*.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64))) (neg.f64 (*.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))) |
(/.f64 (neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64)))))) |
(/.f64 (neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))) |
(pow.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 6 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) |
(*.f64 #s(literal -6 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) |
(*.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) |
(*.f64 (-.f64 #s(literal 6 binary64) (*.f64 #s(literal 6 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64))))))) |
(*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64)))) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))))) |
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))))) |
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) #s(literal 6 binary64)) |
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64)))))) |
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))))) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal -16 binary64) x))) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))))) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal -16 binary64) x))) (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) #s(literal 3 binary64)))) (+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)))) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)))))) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) #s(literal 2 binary64)))) (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))) |
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(*.f64 (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))) |
(*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) |
(*.f64 (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal -16 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal -16 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x))) |
(*.f64 (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) #s(literal 3 binary64)))) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)))))) |
(*.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))))) |
(*.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (-.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) #s(literal 2 binary64)))) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(sqrt.f64 x) |
(pow.f64 x #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
| 1× | egg-herbie |
| 3694× | *-lowering-*.f32 |
| 3694× | *-lowering-*.f64 |
| 1854× | +-lowering-+.f64 |
| 1854× | +-lowering-+.f32 |
| 1340× | fnmsub-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 243 | 1627 |
| 1 | 843 | 1418 |
| 2 | 2573 | 1368 |
| 3 | 7689 | 1368 |
| 0 | 8376 | 1368 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))) |
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
-6 |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(* 6 x) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* 6 x) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(/ -6 (- 1 (* -4 (sqrt x)))) |
(- (* x (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x)))))) |
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x)))))) |
(- (* x (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))) (- 1 (* -4 (sqrt x)))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x)))))) |
(/ 6 (- 1 (* -4 (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))))) |
(- (+ (* 6 (/ 1 (* (pow x 2) (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))))) |
(- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))))) |
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) x)) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4)))) x)) (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))))) x)) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
-6 |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(* 6 x) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* 6 x) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(- 1 (* -4 (sqrt x))) |
(- (+ 1 x) (* -4 (sqrt x))) |
(- (+ 1 x) (* -4 (sqrt x))) |
(- (+ 1 x) (* -4 (sqrt x))) |
(* x (- 1 (* -4 (sqrt (/ 1 x))))) |
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x))))) |
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x))))) |
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x))))) |
(* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))))) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(+.f64 (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))) (*.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64))))))) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))))))) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(-.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 2 binary64)))) x)) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) |
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(-.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 2 binary64)))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) x)) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(-.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) x)) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4)))) x)) (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))))) x)) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(-.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 4 binary64)))) x))) x)) x)) |
-6 |
#s(literal -6 binary64) |
(- (* 6 x) 6) |
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64))) |
(- (* 6 x) 6) |
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64))) |
(- (* 6 x) 6) |
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64))) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* x (- 6 (* 6 (/ 1 x)))) |
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64))) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64))) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(- 1 (* -4 (sqrt x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(- (+ 1 x) (* -4 (sqrt x))) |
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(- (+ 1 x) (* -4 (sqrt x))) |
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(- (+ 1 x) (* -4 (sqrt x))) |
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(* x (- 1 (* -4 (sqrt (/ 1 x))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
Compiled 21430 to 1508 computations (93% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 740 | 13 | 753 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 0 | 0 |
| Total | 741 | 14 | 755 |
| Status | Accuracy | Program |
|---|---|---|
| 71.4% | (/.f64 (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) | |
| 99.7% | (/.f64 (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) | |
| ✓ | 99.8% | (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) |
| 99.8% | (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) | |
| 53.3% | (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) | |
| ▶ | 50.9% | (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
| 48.2% | (/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) | |
| ▶ | 99.8% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))) |
| ▶ | 53.3% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| 50.8% | (/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) | |
| ▶ | 50.5% | (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| 48.1% | (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) | |
| ▶ | 76.6% | (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal -16 binary64) x))) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) |
| 71.4% | (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) |
Compiled 489 to 342 computations (30.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal -16 binary64) x)) |
| ✓ | cost-diff | 128 | (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal -16 binary64) x))) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal -16 binary64) x))) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 6 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
| ✓ | cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) |
| ✓ | cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))) |
| 2600× | +-lowering-+.f64 |
| 2600× | +-lowering-+.f32 |
| 2478× | *-lowering-*.f32 |
| 2478× | *-lowering-*.f64 |
| 1242× | sum3-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 252 |
| 1 | 92 | 236 |
| 2 | 225 | 236 |
| 3 | 688 | 230 |
| 4 | 2739 | 230 |
| 0 | 8245 | 230 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* 6 (- x 1)) (- 1 (- (* (sqrt x) -4) x))) |
(* 6 (- x 1)) |
6 |
(- x 1) |
x |
1 |
(- 1 (- (* (sqrt x) -4) x)) |
(- (* (sqrt x) -4) x) |
(* (sqrt x) -4) |
(sqrt x) |
-4 |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
-6 |
(+ 1 (* 4 (sqrt x))) |
1 |
(* 4 (sqrt x)) |
4 |
(sqrt x) |
x |
(/ (* 6 (- x 1)) (+ 1 (* 4 (sqrt x)))) |
(* 6 (- x 1)) |
6 |
(- x 1) |
x |
1 |
(+ 1 (* 4 (sqrt x))) |
(* 4 (sqrt x)) |
4 |
(sqrt x) |
(/ (+ (* 6 x) -6) (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) |
(+ (* 6 x) -6) |
(* 6 x) |
6 |
x |
-6 |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(+ 1 (* 4 (sqrt (/ 1 x)))) |
1 |
(* 4 (sqrt (/ 1 x))) |
4 |
(sqrt (/ 1 x)) |
(/ 1 x) |
(* (/ (+ (* 6 x) -6) (+ (* (+ x 1) (+ x 1)) (* -16 x))) (+ x (+ 1 (* (sqrt x) -4)))) |
(/ (+ (* 6 x) -6) (+ (* (+ x 1) (+ x 1)) (* -16 x))) |
(+ (* 6 x) -6) |
(* 6 x) |
6 |
x |
-6 |
(+ (* (+ x 1) (+ x 1)) (* -16 x)) |
(* (+ x 1) (+ x 1)) |
(+ x 1) |
1 |
(* -16 x) |
-16 |
(+ x (+ 1 (* (sqrt x) -4))) |
(+ 1 (* (sqrt x) -4)) |
(* (sqrt x) -4) |
(sqrt x) |
-4 |
| Outputs |
|---|
(/ (* 6 (- x 1)) (- 1 (- (* (sqrt x) -4) x))) |
(/.f64 (*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) |
(* 6 (- x 1)) |
(*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) |
6 |
#s(literal 6 binary64) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
x |
1 |
#s(literal 1 binary64) |
(- 1 (- (* (sqrt x) -4) x)) |
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) |
(- (* (sqrt x) -4) x) |
(-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) |
(* (sqrt x) -4) |
(*.f64 (sqrt.f64 x) #s(literal -4 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
-4 |
#s(literal -4 binary64) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) |
-6 |
#s(literal -6 binary64) |
(+ 1 (* 4 (sqrt x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
1 |
#s(literal 1 binary64) |
(* 4 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
(sqrt x) |
(sqrt.f64 x) |
x |
(/ (* 6 (- x 1)) (+ 1 (* 4 (sqrt x)))) |
(/.f64 (*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) |
(* 6 (- x 1)) |
(*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) |
6 |
#s(literal 6 binary64) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
x |
1 |
#s(literal 1 binary64) |
(+ 1 (* 4 (sqrt x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(* 4 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
(sqrt x) |
(sqrt.f64 x) |
(/ (+ (* 6 x) -6) (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) |
(/.f64 (*.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+ (* 6 x) -6) |
(*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
6 |
#s(literal 6 binary64) |
x |
-6 |
#s(literal -6 binary64) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+ 1 (* 4 (sqrt (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
1 |
#s(literal 1 binary64) |
(* 4 (sqrt (/ 1 x))) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
4 |
#s(literal 4 binary64) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* (/ (+ (* 6 x) -6) (+ (* (+ x 1) (+ x 1)) (* -16 x))) (+ x (+ 1 (* (sqrt x) -4)))) |
(/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -24 binary64)) (+.f64 #s(literal 6 binary64) (*.f64 #s(literal 6 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -15 binary64)))))) |
(/ (+ (* 6 x) -6) (+ (* (+ x 1) (+ x 1)) (* -16 x))) |
(/.f64 (*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -15 binary64)))))) |
(+ (* 6 x) -6) |
(*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
6 |
#s(literal 6 binary64) |
x |
-6 |
#s(literal -6 binary64) |
(+ (* (+ x 1) (+ x 1)) (* -16 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -15 binary64))))) |
(* (+ x 1) (+ x 1)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64)))) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(* -16 x) |
(*.f64 x #s(literal -16 binary64)) |
-16 |
#s(literal -16 binary64) |
(+ x (+ 1 (* (sqrt x) -4))) |
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (+.f64 x #s(literal 1 binary64))) |
(+ 1 (* (sqrt x) -4)) |
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) |
(* (sqrt x) -4) |
(*.f64 (sqrt.f64 x) #s(literal -4 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
-4 |
#s(literal -4 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal -16 binary64) x)) |
| ✓ | accuracy | 99.9% | (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal -16 binary64) x))) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) |
| ✓ | accuracy | 77.7% | (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal -16 binary64) x))) |
| ✓ | accuracy | 99.9% | (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) |
| ✓ | accuracy | 99.7% | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.7% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
| ✓ | accuracy | 99.7% | (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.9% | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) |
| ✓ | accuracy | 99.9% | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))) |
| 90.0ms | 240× | 0 | valid |
| 8.0ms | 7× | 2 | valid |
| 7.0ms | 9× | 1 | valid |
Compiled 269 to 35 computations (87% saved)
ival-mult: 18.0ms (35% of total)ival-div: 11.0ms (21.4% of total)ival-add: 9.0ms (17.5% of total)ival-sub: 5.0ms (9.7% of total)ival-sqrt: 4.0ms (7.8% of total)backward-pass: 2.0ms (3.9% of total)const: 1.0ms (1.9% of total)| Inputs |
|---|
#<alt (/ (* 6 (- x 1)) (- 1 (- (* (sqrt x) -4) x)))> |
#<alt (* 6 (- x 1))> |
#<alt (- x 1)> |
#<alt (- 1 (- (* (sqrt x) -4) x))> |
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (* 4 (sqrt x))> |
#<alt (sqrt x)> |
#<alt (/ (* 6 (- x 1)) (+ 1 (* 4 (sqrt x))))> |
#<alt (/ (+ (* 6 x) -6) (* x (+ 1 (* 4 (sqrt (/ 1 x))))))> |
#<alt (+ (* 6 x) -6)> |
#<alt (* 6 x)> |
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (* (/ (+ (* 6 x) -6) (+ (* (+ x 1) (+ x 1)) (* -16 x))) (+ x (+ 1 (* (sqrt x) -4))))> |
#<alt (/ (+ (* 6 x) -6) (+ (* (+ x 1) (+ x 1)) (* -16 x)))> |
#<alt (+ (* (+ x 1) (+ x 1)) (* -16 x))> |
#<alt (- (* (sqrt x) -4) x)> |
#<alt (sqrt (/ 1 x))> |
| Outputs |
|---|
#<alt (/ -6 (- 1 (* -4 (sqrt x))))> |
#<alt (- (* 6 (* x (+ (/ 1 (- 1 (* -4 (sqrt x)))) (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))> |
#<alt (- (* x (+ (* -6 (* x (+ (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)) (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (- 1 (* -4 (sqrt x)))) (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))> |
#<alt (- (* x (+ (* 6 (+ (/ 1 (- 1 (* -4 (sqrt x)))) (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)) (/ 1 (pow (- 1 (* -4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)) (/ 1 (pow (- 1 (* -4 (sqrt x))) 3)))) (- 1 (* -4 (sqrt x))))))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))> |
#<alt (/ 6 (- 1 (* -4 (sqrt (/ 1 x)))))> |
#<alt (+ (* -6 (/ (+ (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))) (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))))> |
#<alt (+ (* -6 (/ (+ (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))) (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))) (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (- 1 (* -4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))))))> |
#<alt (+ (* -6 (/ (+ (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))) (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))) (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (- 1 (* -4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))))))> |
#<alt (/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt (+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) x)) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4))) x)) (* 6 (+ (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))))) x)) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt -6> |
#<alt (- (* 6 x) 6)> |
#<alt (- (* 6 x) 6)> |
#<alt (- (* 6 x) 6)> |
#<alt (* 6 x)> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* 6 x)> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt -1> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt x> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt x> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (- 1 (* -4 (sqrt x)))> |
#<alt (- (+ 1 x) (* -4 (sqrt x)))> |
#<alt (- (+ 1 x) (* -4 (sqrt x)))> |
#<alt (- (+ 1 x) (* -4 (sqrt x)))> |
#<alt (* x (- 1 (* -4 (sqrt (/ 1 x)))))> |
#<alt (* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))> |
#<alt (* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))> |
#<alt (* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))> |
#<alt (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))> |
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))> |
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))> |
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))> |
#<alt (* -3/2 (sqrt (/ 1 x)))> |
#<alt (/ (+ 3/8 (* -3/2 (sqrt x))) x)> |
#<alt (/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x)> |
#<alt (/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x)> |
#<alt (* 3/2 (sqrt (/ 1 x)))> |
#<alt (* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x))> |
#<alt (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x))> |
#<alt (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (* 4 (sqrt x))> |
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))> |
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))> |
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))> |
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt (* 4 (sqrt x))> |
#<alt (* 4 (sqrt x))> |
#<alt (* 4 (sqrt x))> |
#<alt (* 4 (sqrt x))> |
#<alt (* 4 (sqrt x))> |
#<alt (* 4 (sqrt x))> |
#<alt (* 4 (sqrt x))> |
#<alt (* 4 (sqrt x))> |
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))> |
#<alt (- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (* 3/2 (sqrt x))> |
#<alt (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x)))> |
#<alt (+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x))))> |
#<alt (+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (+ (* 3/8 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) (pow x 2))) (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x)))))> |
#<alt (* -3/2 (sqrt x))> |
#<alt (+ (* -3/2 (sqrt x)) (* 6 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) x)))> |
#<alt (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -6 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -3/2 (* (sqrt (/ 1 x)) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x)))> |
#<alt (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -6 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -3/8 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt x) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x))) x)))> |
#<alt (* -3/2 (sqrt (/ 1 x)))> |
#<alt (+ (* -3/2 (sqrt (/ 1 x))) (* x (+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))))> |
#<alt (+ (* -3/2 (sqrt (/ 1 x))) (* x (+ (* -1/4 (* (sqrt x) (+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))) (+ (* 3/8 (/ 1 x)) (* 3/2 (sqrt (/ 1 x)))))))> |
#<alt (+ (* -3/2 (sqrt (/ 1 x))) (* x (+ (* 3/8 (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* 1/16 (+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))) (* 1/4 (* (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))))))))))> |
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))))> |
#<alt (- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))))> |
#<alt (- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))))> |
#<alt (/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (- (* 6 (/ 1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))> |
#<alt (- (* 6 (/ 1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))> |
#<alt (- (* 6 (/ 1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))> |
#<alt -6> |
#<alt (- (* 6 x) 6)> |
#<alt (- (* 6 x) 6)> |
#<alt (- (* 6 x) 6)> |
#<alt (* 6 x)> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* 6 x)> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 4 (sqrt x))> |
#<alt (+ x (* 4 (sqrt x)))> |
#<alt (+ x (* 4 (sqrt x)))> |
#<alt (+ x (* 4 (sqrt x)))> |
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -6 (+ 1 (* -4 (sqrt x))))> |
#<alt (+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))))> |
#<alt (+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* x (- 6 (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x)))))))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))))> |
#<alt (+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ 6 (* x (- (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))) (+ (* -14 (- 6 (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x))))))) (* 6 (+ 1 (* -4 (sqrt x)))))))) (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x)))))))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))))> |
#<alt (* 6 (+ 1 (* -4 (sqrt (/ 1 x)))))> |
#<alt (- (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x)))) (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)))> |
#<alt (- (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* -1 (/ (+ 6 (+ (* -14 (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x))))))) (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))))) (pow x 2))) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x))))) (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)))> |
#<alt (- (+ (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 3))) (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x))))) (+ (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* -14 (/ (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 3))) (+ (* 6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 2))) (+ (* 14 (/ (+ 6 (+ (* -14 (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x))))))) (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))))) (pow x 3))) (+ (* 6 (/ 1 (pow x 3))) (/ 6 (pow x 2)))))))))> |
#<alt (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))> |
#<alt (- (+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* 6 (/ 1 x)))) (* 84 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)))> |
#<alt (+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (- (+ (* -1 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 x))) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* 14 (/ (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) x)))) x)))> |
#<alt (+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (+ (* -1 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* -1 (/ (- (+ (* -1 (- 6 (+ (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 14 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))))) (* 84 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x))) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (+ (* 14 (/ (- 6 (+ (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 14 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))))) x)) (* 6 (/ 1 x))))) x))) x)))> |
#<alt -6> |
#<alt (- (* -78 x) 6)> |
#<alt (- (* x (- (* -1086 x) 78)) 6)> |
#<alt (- (* x (- (* x (- (* -15126 x) 1086)) 78)) 6)> |
#<alt (/ 6 x)> |
#<alt (/ (+ 6 (* 78 (/ 1 x))) x)> |
#<alt (/ (+ 6 (+ (* 78 (/ 1 x)) (/ 1086 (pow x 2)))) x)> |
#<alt (/ (+ 6 (+ (* 78 (/ 1 x)) (+ (* 15126 (/ 1 (pow x 3))) (/ 1086 (pow x 2))))) x)> |
#<alt (/ 6 x)> |
#<alt (/ (+ 6 (* 78 (/ 1 x))) x)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 78 (* 1086 (/ 1 x))) x)) 6) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 78 (+ (* 1086 (/ 1 x)) (/ 15126 (pow x 2)))) x)) 6) x))> |
#<alt 1> |
#<alt (+ 1 (* -14 x))> |
#<alt (+ 1 (* x (- x 14)))> |
#<alt (+ 1 (* x (- x 14)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (* 14 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 14 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 14 (/ 1 x))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (* 14 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 14 (/ 1 x)) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 14 (/ 1 x)) x))))> |
#<alt (* -4 (sqrt x))> |
#<alt (+ (* -4 (sqrt x)) (* -1 x))> |
#<alt (+ (* -4 (sqrt x)) (* -1 x))> |
#<alt (+ (* -4 (sqrt x)) (* -1 x))> |
#<alt (* x (- (* -4 (sqrt (/ 1 x))) 1))> |
#<alt (* x (- (* -4 (sqrt (/ 1 x))) 1))> |
#<alt (* x (- (* -4 (sqrt (/ 1 x))) 1))> |
#<alt (* x (- (* -4 (sqrt (/ 1 x))) 1))> |
#<alt (* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (* (/ (+ (* 6 x) -6) (+ (* (+ x 1) (+ x 1)) (* -16 x))) (+ x (+ 1 (* (sqrt x) -4)))) |
| 3.0ms | x | @ | inf | (* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
| 2.0ms | x | @ | inf | (/ (* 6 (- x 1)) (- 1 (- (* (sqrt x) -4) x))) |
| 2.0ms | x | @ | 0 | (* (/ (+ (* 6 x) -6) (+ (* (+ x 1) (+ x 1)) (* -16 x))) (+ x (+ 1 (* (sqrt x) -4)))) |
| 1.0ms | x | @ | 0 | (/ (* 6 (- x 1)) (- 1 (- (* (sqrt x) -4) x))) |
| 1× | batch-egg-rewrite |
| 3980× | *-lowering-*.f32 |
| 3980× | *-lowering-*.f64 |
| 2540× | /-lowering-/.f32 |
| 2540× | /-lowering-/.f64 |
| 2330× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 145 |
| 1 | 234 | 129 |
| 2 | 2368 | 125 |
| 0 | 9575 | 125 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* 6 (- x 1)) (- 1 (- (* (sqrt x) -4) x))) |
(* 6 (- x 1)) |
(- x 1) |
(- 1 (- (* (sqrt x) -4) x)) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(+ 1 (* 4 (sqrt x))) |
(* 4 (sqrt x)) |
(sqrt x) |
(/ (* 6 (- x 1)) (+ 1 (* 4 (sqrt x)))) |
(/ (+ (* 6 x) -6) (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) |
(+ (* 6 x) -6) |
(* 6 x) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* (/ (+ (* 6 x) -6) (+ (* (+ x 1) (+ x 1)) (* -16 x))) (+ x (+ 1 (* (sqrt x) -4)))) |
(/ (+ (* 6 x) -6) (+ (* (+ x 1) (+ x 1)) (* -16 x))) |
(+ (* (+ x 1) (+ x 1)) (* -16 x)) |
(- (* (sqrt x) -4) x) |
(sqrt (/ 1 x)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) x)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) x)) (-.f64 #s(literal 0 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))) |
(neg.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -6 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) x))) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) x)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) x))))) |
(/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -6 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -6 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))) |
(/.f64 (*.f64 (+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) |
(pow.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 6 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) x)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))) |
(*.f64 (+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))) |
(*.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) (+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) #s(literal 6 binary64)) |
(*.f64 (/.f64 (+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) x)))) |
(*.f64 (/.f64 (+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) #s(literal 2 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) x)) |
(+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) x)) |
(+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))) (/.f64 #s(literal 36 binary64) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))) |
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) |
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64)))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) (+.f64 #s(literal 36 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (*.f64 x #s(literal -36 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64)) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64))) (neg.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))) |
(/.f64 (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal 36 binary64))) (-.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) x))) |
(/.f64 (*.f64 #s(literal 6 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 6 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 x #s(literal 1 binary64))) |
(pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) |
(*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64)))))) |
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))) |
(+.f64 x #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) x) |
(-.f64 x #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))))) |
(/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))) |
(pow.f64 (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))) |
(*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) |
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))) |
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) |
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (+.f64 x #s(literal 1 binary64))) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) |
(+.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) #s(literal 1 binary64)) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) x) |
(+.f64 (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) #s(literal 1 binary64)) |
(+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (neg.f64 (*.f64 x #s(literal -1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64)))) |
(+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (neg.f64 (*.f64 x #s(literal -1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64)))) |
(-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) x)) |
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(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64)))) |
| 1× | egg-herbie |
| 3704× | *-lowering-*.f32 |
| 3704× | *-lowering-*.f64 |
| 2714× | +-lowering-+.f64 |
| 2714× | +-lowering-+.f32 |
| 1314× | sum5-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 454 | 3092 |
| 1 | 1491 | 2494 |
| 2 | 5162 | 2417 |
| 0 | 8230 | 2417 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -6 (- 1 (* -4 (sqrt x)))) |
(- (* 6 (* x (+ (/ 1 (- 1 (* -4 (sqrt x)))) (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x)))))) |
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)) (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (- 1 (* -4 (sqrt x)))) (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x)))))) |
(- (* x (+ (* 6 (+ (/ 1 (- 1 (* -4 (sqrt x)))) (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)) (/ 1 (pow (- 1 (* -4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)) (/ 1 (pow (- 1 (* -4 (sqrt x))) 3)))) (- 1 (* -4 (sqrt x))))))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x)))))) |
(/ 6 (- 1 (* -4 (sqrt (/ 1 x))))) |
(+ (* -6 (/ (+ (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))) (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))))) |
(+ (* -6 (/ (+ (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))) (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))) (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (- 1 (* -4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))))) |
(+ (* -6 (/ (+ (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))) (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))) (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (- 1 (* -4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))))))) |
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) x)) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4))) x)) (* 6 (+ (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))))) x)) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
-6 |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(* 6 x) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* 6 x) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(- 1 (* -4 (sqrt x))) |
(- (+ 1 x) (* -4 (sqrt x))) |
(- (+ 1 x) (* -4 (sqrt x))) |
(- (+ 1 x) (* -4 (sqrt x))) |
(* x (- 1 (* -4 (sqrt (/ 1 x))))) |
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x))))) |
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x))))) |
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x))))) |
(* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(* -3/2 (sqrt (/ 1 x))) |
(/ (+ 3/8 (* -3/2 (sqrt x))) x) |
(/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x) |
(/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x) |
(* 3/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x)) |
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x)) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (* 4 (sqrt x))) |
(* 4 (sqrt x)) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* 4 (sqrt x)) |
(* 4 (sqrt x)) |
(* 4 (sqrt x)) |
(* 4 (sqrt x)) |
(* 4 (sqrt x)) |
(* 4 (sqrt x)) |
(* 4 (sqrt x)) |
(* 4 (sqrt x)) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(* 3/2 (sqrt x)) |
(+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x))) |
(+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x)))) |
(+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (+ (* 3/8 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) (pow x 2))) (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x))))) |
(* -3/2 (sqrt x)) |
(+ (* -3/2 (sqrt x)) (* 6 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) x))) |
(+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -6 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -3/2 (* (sqrt (/ 1 x)) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x))) |
(+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -6 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -3/8 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt x) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x))) x))) |
(* -3/2 (sqrt (/ 1 x))) |
(+ (* -3/2 (sqrt (/ 1 x))) (* x (+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))) |
(+ (* -3/2 (sqrt (/ 1 x))) (* x (+ (* -1/4 (* (sqrt x) (+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))) (+ (* 3/8 (/ 1 x)) (* 3/2 (sqrt (/ 1 x))))))) |
(+ (* -3/2 (sqrt (/ 1 x))) (* x (+ (* 3/8 (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* 1/16 (+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))) (* 1/4 (* (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))))))))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))))) |
(- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))))) |
(- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))))) |
(/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(- (* 6 (/ 1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
(- (* 6 (/ 1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
(- (* 6 (/ 1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
-6 |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(* 6 x) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* 6 x) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 4 (sqrt x)) |
(+ x (* 4 (sqrt x))) |
(+ x (* 4 (sqrt x))) |
(+ x (* 4 (sqrt x))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -6 (+ 1 (* -4 (sqrt x)))) |
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x)))))))) |
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* x (- 6 (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x)))))))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x)))))))) |
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* x (- (+ 6 (* x (- (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))) (+ (* -14 (- 6 (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x))))))) (* 6 (+ 1 (* -4 (sqrt x)))))))) (+ (* -14 (- (* 6 (+ 1 (* -4 (sqrt x)))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x))))))) (* -6 (+ 1 (* -4 (sqrt x)))))))) (+ 6 (* 84 (+ 1 (* -4 (sqrt x)))))))) |
(* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) |
(- (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x)))) (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x))) |
(- (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* -1 (/ (+ 6 (+ (* -14 (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x))))))) (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))))) (pow x 2))) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x))))) (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x))) |
(- (+ (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 3))) (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x))))) (+ (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* -14 (/ (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 3))) (+ (* 6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 2))) (+ (* 14 (/ (+ 6 (+ (* -14 (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x))))))) (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))))) (pow x 3))) (+ (* 6 (/ 1 (pow x 3))) (/ 6 (pow x 2))))))))) |
(* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(- (+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* 6 (/ 1 x)))) (* 84 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x))) |
(+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (- (+ (* -1 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 x))) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* 14 (/ (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) x)))) x))) |
(+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (+ (* -1 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* -1 (/ (- (+ (* -1 (- 6 (+ (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 14 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))))) (* 84 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x))) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (+ (* 14 (/ (- 6 (+ (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 14 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))))) x)) (* 6 (/ 1 x))))) x))) x))) |
-6 |
(- (* -78 x) 6) |
(- (* x (- (* -1086 x) 78)) 6) |
(- (* x (- (* x (- (* -15126 x) 1086)) 78)) 6) |
(/ 6 x) |
(/ (+ 6 (* 78 (/ 1 x))) x) |
(/ (+ 6 (+ (* 78 (/ 1 x)) (/ 1086 (pow x 2)))) x) |
(/ (+ 6 (+ (* 78 (/ 1 x)) (+ (* 15126 (/ 1 (pow x 3))) (/ 1086 (pow x 2))))) x) |
(/ 6 x) |
(/ (+ 6 (* 78 (/ 1 x))) x) |
(* -1 (/ (- (* -1 (/ (+ 78 (* 1086 (/ 1 x))) x)) 6) x)) |
(* -1 (/ (- (* -1 (/ (+ 78 (+ (* 1086 (/ 1 x)) (/ 15126 (pow x 2)))) x)) 6) x)) |
1 |
(+ 1 (* -14 x)) |
(+ 1 (* x (- x 14))) |
(+ 1 (* x (- x 14))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 14 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 14 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 14 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 14 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 14 (/ 1 x)) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 14 (/ 1 x)) x)))) |
(* -4 (sqrt x)) |
(+ (* -4 (sqrt x)) (* -1 x)) |
(+ (* -4 (sqrt x)) (* -1 x)) |
(+ (* -4 (sqrt x)) (* -1 x)) |
(* x (- (* -4 (sqrt (/ 1 x))) 1)) |
(* x (- (* -4 (sqrt (/ 1 x))) 1)) |
(* x (- (* -4 (sqrt (/ 1 x))) 1)) |
(* x (- (* -4 (sqrt (/ 1 x))) 1)) |
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
| Outputs |
|---|
(/ -6 (- 1 (* -4 (sqrt x)))) |
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) |
(- (* 6 (* x (+ (/ 1 (- 1 (* -4 (sqrt x)))) (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x)))))) |
(+.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (*.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)))))) |
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)) (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (- 1 (* -4 (sqrt x)))) (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x)))))) |
(+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 x (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)))))))) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) |
(- (* x (+ (* 6 (+ (/ 1 (- 1 (* -4 (sqrt x)))) (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)) (/ 1 (pow (- 1 (* -4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)) (/ 1 (pow (- 1 (* -4 (sqrt x))) 3)))) (- 1 (* -4 (sqrt x))))))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x)))))) |
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(+.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 24 binary64))) x) (+.f64 (+.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64)))) (/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (+.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64))) (*.f64 #s(literal -14 binary64) (+.f64 #s(literal 6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 78 binary64)))))) (*.f64 x x))) (/.f64 (+.f64 #s(literal 84 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -336 binary64))) x)) |
(- (+ (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 3))) (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))) (* 6 (/ 1 x))))) (+ (* -84 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) x)) (+ (* -14 (/ (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* -6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 3))) (+ (* 6 (/ (+ 1 (* -4 (sqrt (/ 1 x)))) (pow x 2))) (+ (* 14 (/ (+ 6 (+ (* -14 (- (+ 6 (* -6 (+ 1 (* -4 (sqrt (/ 1 x)))))) (* -84 (+ 1 (* -4 (sqrt (/ 1 x))))))) (* 6 (+ 1 (* -4 (sqrt (/ 1 x))))))) (pow x 3))) (+ (* 6 (/ 1 (pow x 3))) (/ 6 (pow x 2))))))))) |
(-.f64 (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -84 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 336 binary64))) x) (*.f64 x x)) (+.f64 (+.f64 (/.f64 (+.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 24 binary64))) x) (+.f64 (+.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64)))) (/.f64 (+.f64 #s(literal 84 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -336 binary64))) x))) (/.f64 (*.f64 #s(literal -14 binary64) (+.f64 #s(literal 6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 78 binary64)))) (*.f64 x x))) (+.f64 (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 24 binary64))) x) (*.f64 x x)) (/.f64 (+.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64))) (*.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) x) (/.f64 #s(literal 6 binary64) (*.f64 x x)))) (/.f64 (*.f64 (+.f64 #s(literal 6 binary64) (+.f64 (+.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64))) (*.f64 #s(literal -14 binary64) (+.f64 #s(literal 6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 78 binary64)))))) #s(literal 14 binary64)) (*.f64 x (*.f64 x x))))) |
(* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(+.f64 (*.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 6 binary64)) |
(- (+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* 6 (/ 1 x)))) (* 84 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x))) |
(+.f64 (*.f64 #s(literal 6 binary64) (+.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) x) #s(literal 0 binary64))) (+.f64 (+.f64 (*.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 6 binary64)) (/.f64 (+.f64 #s(literal 84 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -336 binary64))) x))) |
(+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (- (+ (* -1 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 x))) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (* 14 (/ (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) x)))) x))) |
(-.f64 (+.f64 (*.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 6 binary64)) (/.f64 (+.f64 (+.f64 #s(literal -6 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 78 binary64))) (/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (+.f64 (*.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 6 binary64))) (*.f64 #s(literal -14 binary64) (+.f64 #s(literal 6 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal -78 binary64))))) x)) x)) |
(+ (* -6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (+ (* -1 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* -1 (/ (- (+ (* -1 (- 6 (+ (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 14 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))))) (* 84 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x))) (+ (* 6 (/ (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)) (+ (* 14 (/ (- 6 (+ (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 14 (- (+ 6 (* 6 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 84 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))))) x)) (* 6 (/ 1 x))))) x))) x))) |
(+.f64 (+.f64 (*.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 6 binary64)) (/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal -78 binary64))) (/.f64 (+.f64 (+.f64 #s(literal -6 binary64) (+.f64 (+.f64 (*.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal -6 binary64)) (+.f64 #s(literal 84 binary64) (*.f64 #s(literal 14 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal -78 binary64)))))) (-.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (/.f64 #s(literal 84 binary64) x)) (+.f64 (*.f64 #s(literal 6 binary64) (+.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) x) #s(literal 0 binary64))) (/.f64 (+.f64 #s(literal 84 binary64) (*.f64 #s(literal 14 binary64) (+.f64 (+.f64 (*.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 6 binary64)) (*.f64 #s(literal -14 binary64) (+.f64 #s(literal 6 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal -78 binary64))))))) x)))) x)) x)) |
-6 |
#s(literal -6 binary64) |
(- (* -78 x) 6) |
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal -78 binary64))) |
(- (* x (- (* -1086 x) 78)) 6) |
(+.f64 #s(literal -6 binary64) (*.f64 x (+.f64 #s(literal -78 binary64) (*.f64 x #s(literal -1086 binary64))))) |
(- (* x (- (* x (- (* -15126 x) 1086)) 78)) 6) |
(+.f64 #s(literal -6 binary64) (*.f64 x (+.f64 #s(literal -78 binary64) (*.f64 x (+.f64 #s(literal -1086 binary64) (*.f64 x #s(literal -15126 binary64))))))) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ (+ 6 (* 78 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 78 binary64) x)) x) |
(/ (+ 6 (+ (* 78 (/ 1 x)) (/ 1086 (pow x 2)))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 78 binary64) x) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 1086 binary64) (*.f64 x x)))) x) |
(/ (+ 6 (+ (* 78 (/ 1 x)) (+ (* 15126 (/ 1 (pow x 3))) (/ 1086 (pow x 2))))) x) |
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 78 binary64) x)) (+.f64 (/.f64 #s(literal 1086 binary64) (*.f64 x x)) (/.f64 #s(literal 15126 binary64) (*.f64 x (*.f64 x x))))) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ (+ 6 (* 78 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 78 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (+ 78 (* 1086 (/ 1 x))) x)) 6) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -6 binary64) (/.f64 (+.f64 #s(literal 78 binary64) (/.f64 #s(literal 1086 binary64) x)) x)) x)) |
(* -1 (/ (- (* -1 (/ (+ 78 (+ (* 1086 (/ 1 x)) (/ 15126 (pow x 2)))) x)) 6) x)) |
(/.f64 (-.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1086 binary64) x) (+.f64 #s(literal 78 binary64) (/.f64 #s(literal 15126 binary64) (*.f64 x x)))) x)) (-.f64 #s(literal 0 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -14 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -14 binary64))) |
(+ 1 (* x (- x 14))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -14 binary64)))) |
(+ 1 (* x (- x 14))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -14 binary64)))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 14 (/ 1 x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -14 binary64) x)))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 14 (/ 1 x)))) |
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -14 binary64) x))))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 14 (/ 1 x)))) |
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -14 binary64) x))))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 14 (/ 1 x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -14 binary64) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 14 (/ 1 x)) x)))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 14 binary64) (/.f64 #s(literal -1 binary64) x)) x))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 14 (/ 1 x)) x)))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 14 binary64) (/.f64 #s(literal -1 binary64) x)) x))) |
(* -4 (sqrt x)) |
(*.f64 #s(literal -4 binary64) (sqrt.f64 x)) |
(+ (* -4 (sqrt x)) (* -1 x)) |
(-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 x)) x) |
(+ (* -4 (sqrt x)) (* -1 x)) |
(-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 x)) x) |
(+ (* -4 (sqrt x)) (* -1 x)) |
(-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 x)) x) |
(* x (- (* -4 (sqrt (/ 1 x))) 1)) |
(*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(* x (- (* -4 (sqrt (/ 1 x))) 1)) |
(*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(* x (- (* -4 (sqrt (/ 1 x))) 1)) |
(*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(* x (- (* -4 (sqrt (/ 1 x))) 1)) |
(*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Compiled 42764 to 3230 computations (92.4% saved)
21 alts after pruning (19 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1213 | 17 | 1230 |
| Fresh | 6 | 2 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1223 | 21 | 1244 |
| Status | Accuracy | Program |
|---|---|---|
| 50.9% | (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) | |
| 99.8% | (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) | |
| 53.3% | (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) | |
| 7.3% | (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) | |
| 1.5% | (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) x) | |
| ▶ | 48.2% | (/.f64 (*.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))) |
| ✓ | 99.8% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))) |
| ▶ | 7.3% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
| 48.1% | (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) | |
| 50.8% | (/.f64 #s(literal -6 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))) | |
| ✓ | 50.5% | (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| ▶ | 50.6% | (+.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64))) |
| 52.9% | (+.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 24 binary64))) | |
| 51.1% | (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -14 binary64)))) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) | |
| ▶ | 99.9% | (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) #s(literal 6 binary64)) |
| 53.3% | (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #s(literal 6 binary64)) | |
| 53.3% | (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) | |
| 99.6% | (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))) | |
| 4.2% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) | |
| 4.5% | (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) | |
| ▶ | 4.3% | (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
Compiled 470 to 377 computations (19.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 6 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) #s(literal 6 binary64)) |
| 2566× | fnmadd-define |
| 1636× | fmsub-define |
| 1612× | fnmsub-define |
| 1502× | fma-lowering-fma.f32 |
| 1502× | fma-lowering-fma.f64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 148 |
| 1 | 66 | 140 |
| 2 | 139 | 138 |
| 3 | 230 | 138 |
| 4 | 582 | 137 |
| 5 | 1793 | 137 |
| 6 | 4711 | 137 |
| 7 | 7307 | 137 |
| 8 | 7588 | 137 |
| 9 | 7608 | 137 |
| 10 | 7620 | 137 |
| 11 | 7627 | 137 |
| 0 | 8471 | 137 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (+ x -1) (+ x (+ 1 (* (sqrt x) 4)))) 6) |
(/ (+ x -1) (+ x (+ 1 (* (sqrt x) 4)))) |
(+ x -1) |
x |
-1 |
(+ x (+ 1 (* (sqrt x) 4))) |
(+ 1 (* (sqrt x) 4)) |
1 |
(* (sqrt x) 4) |
(sqrt x) |
4 |
6 |
(* (sqrt x) -3/2) |
(sqrt x) |
x |
-3/2 |
(+ 6 (* (sqrt (/ 1 x)) -24)) |
6 |
(* (sqrt (/ 1 x)) -24) |
(sqrt (/ 1 x)) |
(/ 1 x) |
1 |
x |
-24 |
(/ (* 6 (- x 1)) (* (sqrt x) 4)) |
(* 6 (- x 1)) |
6 |
(- x 1) |
x |
1 |
(* (sqrt x) 4) |
(sqrt x) |
4 |
(/ (* x 6) (- 1 (- (* (sqrt x) -4) x))) |
(* x 6) |
x |
6 |
(- 1 (- (* (sqrt x) -4) x)) |
1 |
(- (* (sqrt x) -4) x) |
(* (sqrt x) -4) |
(sqrt x) |
-4 |
| Outputs |
|---|
(* (/ (+ x -1) (+ x (+ 1 (* (sqrt x) 4)))) 6) |
(/.f64 (*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/ (+ x -1) (+ x (+ 1 (* (sqrt x) 4)))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(+ x -1) |
(+.f64 x #s(literal -1 binary64)) |
x |
-1 |
#s(literal -1 binary64) |
(+ x (+ 1 (* (sqrt x) 4))) |
(+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) (+.f64 x #s(literal 1 binary64))) |
(+ 1 (* (sqrt x) 4)) |
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
1 |
#s(literal 1 binary64) |
(* (sqrt x) 4) |
(*.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
4 |
#s(literal 4 binary64) |
6 |
#s(literal 6 binary64) |
(* (sqrt x) -3/2) |
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
x |
-3/2 |
#s(literal -3/2 binary64) |
(+ 6 (* (sqrt (/ 1 x)) -24)) |
(+.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64))) |
6 |
#s(literal 6 binary64) |
(* (sqrt (/ 1 x)) -24) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
-24 |
#s(literal -24 binary64) |
(/ (* 6 (- x 1)) (* (sqrt x) 4)) |
(/.f64 (-.f64 #s(literal -3/2 binary64) (*.f64 x #s(literal -3/2 binary64))) (sqrt.f64 x)) |
(* 6 (- x 1)) |
(*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) |
6 |
#s(literal 6 binary64) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
x |
1 |
#s(literal 1 binary64) |
(* (sqrt x) 4) |
(*.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
4 |
#s(literal 4 binary64) |
(/ (* x 6) (- 1 (- (* (sqrt x) -4) x))) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(* x 6) |
(*.f64 x #s(literal 6 binary64)) |
x |
6 |
#s(literal 6 binary64) |
(- 1 (- (* (sqrt x) -4) x)) |
(+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) (+.f64 x #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(- (* (sqrt x) -4) x) |
(-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) |
(* (sqrt x) -4) |
(*.f64 (sqrt.f64 x) #s(literal -4 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
-4 |
#s(literal -4 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 6 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))) |
| ✓ | accuracy | 100.0% | (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.9% | (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 99.5% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64))) |
| ✓ | accuracy | 99.7% | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.6% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.5% | (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) #s(literal 6 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) |
| 88.0ms | 216× | 0 | valid |
| 19.0ms | 33× | 1 | valid |
| 11.0ms | 7× | 2 | valid |
Compiled 156 to 29 computations (81.4% saved)
ival-mult: 15.0ms (33.5% of total)ival-div: 8.0ms (17.9% of total)ival-add: 7.0ms (15.6% of total)ival-sub: 5.0ms (11.2% of total)ival-sqrt: 5.0ms (11.2% of total)backward-pass: 3.0ms (6.7% of total)const: 1.0ms (2.2% of total)| Inputs |
|---|
#<alt (* (/ (+ x -1) (+ x (+ 1 (* (sqrt x) 4)))) 6)> |
#<alt (/ (+ x -1) (+ x (+ 1 (* (sqrt x) 4))))> |
#<alt (+ x -1)> |
#<alt (+ x (+ 1 (* (sqrt x) 4)))> |
#<alt (* (sqrt x) -3/2)> |
#<alt (sqrt x)> |
#<alt (+ 6 (* (sqrt (/ 1 x)) -24))> |
#<alt (* (sqrt (/ 1 x)) -24)> |
#<alt (sqrt (/ 1 x))> |
#<alt (/ 1 x)> |
#<alt (/ (* 6 (- x 1)) (* (sqrt x) 4))> |
#<alt (* 6 (- x 1))> |
#<alt (- x 1)> |
#<alt (* (sqrt x) 4)> |
#<alt (/ (* x 6) (- 1 (- (* (sqrt x) -4) x)))> |
#<alt (* x 6)> |
#<alt (- 1 (- (* (sqrt x) -4) x))> |
#<alt (- (* (sqrt x) -4) x)> |
| Outputs |
|---|
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))> |
#<alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))> |
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))> |
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))> |
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))> |
#<alt (- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))> |
#<alt (- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))> |
#<alt (- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))> |
#<alt (/ -1 (+ 1 (* 4 (sqrt x))))> |
#<alt (- (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (/ 1 (+ 1 (* 4 (sqrt x)))))> |
#<alt (- (* x (+ (* -1 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x)))))> |
#<alt (- (* x (+ (* x (- (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x)))) (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x)))))> |
#<alt (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (+ (* -1 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))> |
#<alt (- (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))> |
#<alt (- (+ (* -1 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (+ (* -1 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))))> |
#<alt (/ -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))> |
#<alt (- (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))> |
#<alt (- (* -1 (/ (- (+ (* -1 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))> |
#<alt (- (* -1 (/ (+ (* -1 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (- (+ (* -1 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))> |
#<alt -1> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt x> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt x> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))> |
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))> |
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))> |
#<alt (* -3/2 (sqrt x))> |
#<alt (* -3/2 (sqrt x))> |
#<alt (* -3/2 (sqrt x))> |
#<alt (* -3/2 (sqrt x))> |
#<alt (* -3/2 (sqrt x))> |
#<alt (* -3/2 (sqrt x))> |
#<alt (* -3/2 (sqrt x))> |
#<alt (* -3/2 (sqrt x))> |
#<alt (* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* -24 (sqrt x)) (* 6 x)) x)> |
#<alt (/ (+ (* -24 (sqrt x)) (* 6 x)) x)> |
#<alt (/ (+ (* -24 (sqrt x)) (* 6 x)) x)> |
#<alt (+ 6 (* -24 (sqrt (/ 1 x))))> |
#<alt (+ 6 (* -24 (sqrt (/ 1 x))))> |
#<alt (+ 6 (* -24 (sqrt (/ 1 x))))> |
#<alt (+ 6 (* -24 (sqrt (/ 1 x))))> |
#<alt (+ 6 (* -24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))> |
#<alt (+ 6 (* -24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))> |
#<alt (+ 6 (* -24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))> |
#<alt (+ 6 (* -24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (* -24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (* -24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (* -24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (* -24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (* -3/2 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* -3/2 (sqrt x)) (* 3/2 (sqrt (pow x 3)))) x)> |
#<alt (/ (+ (* -3/2 (sqrt x)) (* 3/2 (sqrt (pow x 3)))) x)> |
#<alt (/ (+ (* -3/2 (sqrt x)) (* 3/2 (sqrt (pow x 3)))) x)> |
#<alt (* 3/2 (sqrt x))> |
#<alt (* x (+ (* -3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 x)))))> |
#<alt (* x (+ (* -3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 x)))))> |
#<alt (* x (+ (* -3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 x)))))> |
#<alt (* 3/2 (sqrt x))> |
#<alt (* -1 (* x (+ (* -3/2 (sqrt (/ 1 x))) (* 3/2 (sqrt (/ 1 (pow x 3)))))))> |
#<alt (* -1 (* x (+ (* -3/2 (sqrt (/ 1 x))) (* 3/2 (sqrt (/ 1 (pow x 3)))))))> |
#<alt (* -1 (* x (+ (* -3/2 (sqrt (/ 1 x))) (* 3/2 (sqrt (/ 1 (pow x 3)))))))> |
#<alt -6> |
#<alt (- (* 6 x) 6)> |
#<alt (- (* 6 x) 6)> |
#<alt (- (* 6 x) 6)> |
#<alt (* 6 x)> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* 6 x)> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt -1> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt x> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt x> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* 4 (sqrt x))> |
#<alt (* 4 (sqrt x))> |
#<alt (* 4 (sqrt x))> |
#<alt (* 4 (sqrt x))> |
#<alt (* 4 (sqrt x))> |
#<alt (* 4 (sqrt x))> |
#<alt (* 4 (sqrt x))> |
#<alt (* 4 (sqrt x))> |
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* 6 (/ x (- 1 (* -4 (sqrt x)))))> |
#<alt (* x (+ (* -6 (/ x (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (- 1 (* -4 (sqrt x)))))))> |
#<alt (* x (+ (* x (- (* 6 (/ x (pow (- 1 (* -4 (sqrt x))) 3))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x)))))))> |
#<alt (* x (+ (* x (- (* x (+ (* -6 (/ x (pow (- 1 (* -4 (sqrt x))) 4))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x)))))))> |
#<alt (/ 6 (- 1 (* -4 (sqrt (/ 1 x)))))> |
#<alt (- (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))))> |
#<alt (- (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* (pow x 2) (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3)))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))))> |
#<alt (- (+ (* 6 (/ 1 (* (pow x 2) (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (* 6 (/ 1 (* (pow x 3) (pow (- 1 (* -4 (sqrt (/ 1 x)))) 4)))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))))> |
#<alt (/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (- (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))))> |
#<alt (+ (* -1 (/ (- (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4))))) x)) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (- 1 (* -4 (sqrt x)))> |
#<alt (- (+ 1 x) (* -4 (sqrt x)))> |
#<alt (- (+ 1 x) (* -4 (sqrt x)))> |
#<alt (- (+ 1 x) (* -4 (sqrt x)))> |
#<alt (* x (- 1 (* -4 (sqrt (/ 1 x)))))> |
#<alt (* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))> |
#<alt (* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))> |
#<alt (* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))> |
#<alt (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt (* -4 (sqrt x))> |
#<alt (+ (* -4 (sqrt x)) (* -1 x))> |
#<alt (+ (* -4 (sqrt x)) (* -1 x))> |
#<alt (+ (* -4 (sqrt x)) (* -1 x))> |
#<alt (* x (- (* -4 (sqrt (/ 1 x))) 1))> |
#<alt (* x (- (* -4 (sqrt (/ 1 x))) 1))> |
#<alt (* x (- (* -4 (sqrt (/ 1 x))) 1))> |
#<alt (* x (- (* -4 (sqrt (/ 1 x))) 1))> |
#<alt (* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ (* 6 (- x 1)) (* (sqrt x) 4)) |
| 1.0ms | x | @ | -inf | (/ (+ x -1) (+ x (+ 1 (* (sqrt x) 4)))) |
| 1.0ms | x | @ | inf | (/ (+ x -1) (+ x (+ 1 (* (sqrt x) 4)))) |
| 1.0ms | x | @ | -inf | (/ (* x 6) (- 1 (- (* (sqrt x) -4) x))) |
| 0.0ms | x | @ | inf | (/ (* x 6) (- 1 (- (* (sqrt x) -4) x))) |
| 1× | batch-egg-rewrite |
| 3988× | /-lowering-/.f32 |
| 3988× | /-lowering-/.f64 |
| 3614× | *-lowering-*.f32 |
| 3614× | *-lowering-*.f64 |
| 2210× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 109 |
| 1 | 174 | 99 |
| 2 | 1509 | 97 |
| 0 | 8833 | 97 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (+ x -1) (+ x (+ 1 (* (sqrt x) 4)))) 6) |
(/ (+ x -1) (+ x (+ 1 (* (sqrt x) 4)))) |
(+ x -1) |
(+ x (+ 1 (* (sqrt x) 4))) |
(* (sqrt x) -3/2) |
(sqrt x) |
(+ 6 (* (sqrt (/ 1 x)) -24)) |
(* (sqrt (/ 1 x)) -24) |
(sqrt (/ 1 x)) |
(/ 1 x) |
(/ (* 6 (- x 1)) (* (sqrt x) 4)) |
(* 6 (- x 1)) |
(- x 1) |
(* (sqrt x) 4) |
(/ (* x 6) (- 1 (- (* (sqrt x) -4) x))) |
(* x 6) |
(- 1 (- (* (sqrt x) -4) x)) |
(- (* (sqrt x) -4) x) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)))) (/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)))) |
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x))) |
(/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -6 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)))) |
(/.f64 #s(literal -6 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -6 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x))))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x))) #s(literal 6 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)))) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x))) #s(literal 6 binary64)) |
(*.f64 #s(literal 6 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)))) |
(*.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)))) |
(*.f64 #s(literal -6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)))) |
(*.f64 (/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)))) (+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) x)))) |
(*.f64 (/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) |
(*.f64 (/.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) #s(literal 3 binary64)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))))))) |
(*.f64 (/.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) #s(literal 2 binary64)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))))) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) x)))))) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))) |
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) x)))))) |
(*.f64 (/.f64 #s(literal 6 binary64) (-.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)))) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) #s(literal 3 binary64)))) (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))))))) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) #s(literal 2 binary64)))) (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) (+.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) (+.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) (+.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x)))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) (+.f64 x #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x))))) |
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) (+.f64 x #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) (+.f64 x #s(literal -1 binary64)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) (+.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x))) |
(/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)))) |
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) (+.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x))))) |
(/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x))) |
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(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) |
(-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)) (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))) |
(-.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 (*.f64 x x) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) |
(-.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x x) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) x)))) |
(fma.f64 x #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) |
(fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 #s(literal 4 binary64) (neg.f64 (sqrt.f64 x)) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (-.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (-.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x #s(literal 16 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) x))))) |
(/.f64 (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x)) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) |
(/.f64 (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (*.f64 x #s(literal 16 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x))) (neg.f64 (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x))) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)) (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) (*.f64 (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (*.f64 x (*.f64 x x)))) (pow.f64 (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (*.f64 (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (*.f64 x x))) (pow.f64 (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x)))) (neg.f64 (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) |
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))) (+.f64 (*.f64 x x) (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)) (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)) (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) (/.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)) (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))) (*.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)) (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 (*.f64 x x) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (*.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 (*.f64 x x) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))))) |
(pow.f64 (/.f64 (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (-.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) |
| 1× | egg-herbie |
| 4936× | *-lowering-*.f32 |
| 4936× | *-lowering-*.f64 |
| 3066× | +-lowering-+.f64 |
| 3066× | +-lowering-+.f32 |
| 1368× | --lowering--.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 318 | 2538 |
| 1 | 1069 | 2205 |
| 2 | 3205 | 2160 |
| 0 | 9185 | 2160 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))) |
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(/ -1 (+ 1 (* 4 (sqrt x)))) |
(- (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
(- (* x (+ (* -1 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
(- (* x (+ (* x (- (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x)))) (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
(/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) |
(- (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) |
(- (+ (* -1 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (+ (* -1 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))) |
(/ -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(- (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(- (* -1 (/ (- (+ (* -1 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(- (* -1 (/ (+ (* -1 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (- (+ (* -1 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x))))) |
(* -3/2 (sqrt x)) |
(* -3/2 (sqrt x)) |
(* -3/2 (sqrt x)) |
(* -3/2 (sqrt x)) |
(* -3/2 (sqrt x)) |
(* -3/2 (sqrt x)) |
(* -3/2 (sqrt x)) |
(* -3/2 (sqrt x)) |
(* 3/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -24 (sqrt (/ 1 x))) |
(/ (+ (* -24 (sqrt x)) (* 6 x)) x) |
(/ (+ (* -24 (sqrt x)) (* 6 x)) x) |
(/ (+ (* -24 (sqrt x)) (* 6 x)) x) |
(+ 6 (* -24 (sqrt (/ 1 x)))) |
(+ 6 (* -24 (sqrt (/ 1 x)))) |
(+ 6 (* -24 (sqrt (/ 1 x)))) |
(+ 6 (* -24 (sqrt (/ 1 x)))) |
(+ 6 (* -24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ 6 (* -24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ 6 (* -24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ 6 (* -24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -24 (sqrt (/ 1 x))) |
(* -24 (sqrt (/ 1 x))) |
(* -24 (sqrt (/ 1 x))) |
(* -24 (sqrt (/ 1 x))) |
(* -24 (sqrt (/ 1 x))) |
(* -24 (sqrt (/ 1 x))) |
(* -24 (sqrt (/ 1 x))) |
(* -24 (sqrt (/ 1 x))) |
(* -24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* -24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* -24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* -24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(* -3/2 (sqrt (/ 1 x))) |
(/ (+ (* -3/2 (sqrt x)) (* 3/2 (sqrt (pow x 3)))) x) |
(/ (+ (* -3/2 (sqrt x)) (* 3/2 (sqrt (pow x 3)))) x) |
(/ (+ (* -3/2 (sqrt x)) (* 3/2 (sqrt (pow x 3)))) x) |
(* 3/2 (sqrt x)) |
(* x (+ (* -3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 x))))) |
(* x (+ (* -3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 x))))) |
(* x (+ (* -3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 x))))) |
(* 3/2 (sqrt x)) |
(* -1 (* x (+ (* -3/2 (sqrt (/ 1 x))) (* 3/2 (sqrt (/ 1 (pow x 3))))))) |
(* -1 (* x (+ (* -3/2 (sqrt (/ 1 x))) (* 3/2 (sqrt (/ 1 (pow x 3))))))) |
(* -1 (* x (+ (* -3/2 (sqrt (/ 1 x))) (* 3/2 (sqrt (/ 1 (pow x 3))))))) |
-6 |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(* 6 x) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* 6 x) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* 4 (sqrt x)) |
(* 4 (sqrt x)) |
(* 4 (sqrt x)) |
(* 4 (sqrt x)) |
(* 4 (sqrt x)) |
(* 4 (sqrt x)) |
(* 4 (sqrt x)) |
(* 4 (sqrt x)) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 6 (/ x (- 1 (* -4 (sqrt x))))) |
(* x (+ (* -6 (/ x (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))) |
(* x (+ (* x (- (* 6 (/ x (pow (- 1 (* -4 (sqrt x))) 3))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))) |
(* x (+ (* x (- (* x (+ (* -6 (/ x (pow (- 1 (* -4 (sqrt x))) 4))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))) |
(/ 6 (- 1 (* -4 (sqrt (/ 1 x))))) |
(- (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))))) |
(- (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* (pow x 2) (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3)))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) |
(- (+ (* 6 (/ 1 (* (pow x 2) (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (* 6 (/ 1 (* (pow x 3) (pow (- 1 (* -4 (sqrt (/ 1 x)))) 4)))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))))) |
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(- (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) |
(+ (* -1 (/ (- (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(+ (* -1 (/ (+ (* -1 (/ (- (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4))))) x)) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(- 1 (* -4 (sqrt x))) |
(- (+ 1 x) (* -4 (sqrt x))) |
(- (+ 1 x) (* -4 (sqrt x))) |
(- (+ 1 x) (* -4 (sqrt x))) |
(* x (- 1 (* -4 (sqrt (/ 1 x))))) |
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x))))) |
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x))))) |
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x))))) |
(* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -4 (sqrt x)) |
(+ (* -4 (sqrt x)) (* -1 x)) |
(+ (* -4 (sqrt x)) (* -1 x)) |
(+ (* -4 (sqrt x)) (* -1 x)) |
(* x (- (* -4 (sqrt (/ 1 x))) 1)) |
(* x (- (* -4 (sqrt (/ 1 x))) 1)) |
(* x (- (* -4 (sqrt (/ 1 x))) 1)) |
(* x (- (* -4 (sqrt (/ 1 x))) 1)) |
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
| Outputs |
|---|
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(+.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))))) |
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))))) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(+.f64 (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))) (/.f64 (*.f64 (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))))) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(+.f64 (*.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) x)) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) |
(+.f64 (+.f64 (*.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) x)) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)))) |
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))) |
(+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x))) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal -6 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (*.f64 x (*.f64 x x)))))) |
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) |
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(+.f64 (*.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) x)) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(-.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (*.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) x))) x)) |
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) |
(-.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (*.f64 #s(literal -6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 3 binary64))))) (*.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 4 binary64)))) x))) x)) x)) |
(/ -1 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(- (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
(+.f64 (+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
(- (* x (+ (* -1 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
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(- (* x (+ (* x (- (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x)))) (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
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(/.f64 (*.f64 #s(literal 3/2 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (*.f64 x x))))) x) |
(/ (+ (* -3/2 (sqrt x)) (* 3/2 (sqrt (pow x 3)))) x) |
(/.f64 (*.f64 #s(literal 3/2 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (*.f64 x x))))) x) |
(* 3/2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(* x (+ (* -3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 x))))) |
(*.f64 x (+.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))) |
(* x (+ (* -3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 x))))) |
(*.f64 x (+.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))) |
(* x (+ (* -3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 x))))) |
(*.f64 x (+.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))) |
(* 3/2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(* -1 (* x (+ (* -3/2 (sqrt (/ 1 x))) (* 3/2 (sqrt (/ 1 (pow x 3))))))) |
(*.f64 x (+.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))) |
(* -1 (* x (+ (* -3/2 (sqrt (/ 1 x))) (* 3/2 (sqrt (/ 1 (pow x 3))))))) |
(*.f64 x (+.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))) |
(* -1 (* x (+ (* -3/2 (sqrt (/ 1 x))) (* 3/2 (sqrt (/ 1 (pow x 3))))))) |
(*.f64 x (+.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))) |
-6 |
#s(literal -6 binary64) |
(- (* 6 x) 6) |
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64))) |
(- (* 6 x) 6) |
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64))) |
(- (* 6 x) 6) |
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64))) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* x (- 6 (* 6 (/ 1 x)))) |
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64))) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64))) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
x |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
(* 4 (sqrt x)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(* 4 (sqrt x)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(* 4 (sqrt x)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(* 4 (sqrt x)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(* 4 (sqrt x)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(* 4 (sqrt x)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(* 4 (sqrt x)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(* 4 (sqrt x)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(* 6 (/ x (- 1 (* -4 (sqrt x))))) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(* x (+ (* -6 (/ x (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))) |
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -6 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) |
(* x (+ (* x (- (* 6 (/ x (pow (- 1 (* -4 (sqrt x))) 3))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 x (*.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))))) |
(* x (+ (* x (- (* x (+ (* -6 (/ x (pow (- 1 (* -4 (sqrt x))) 4))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) (/.f64 (*.f64 #s(literal -6 binary64) (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 4 binary64))))))) |
(/ 6 (- 1 (* -4 (sqrt (/ 1 x))))) |
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(- (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))))) |
(+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 (/.f64 #s(literal -6 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) |
(- (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* (pow x 2) (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3)))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) |
(-.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -6 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) x)) |
(- (+ (* 6 (/ 1 (* (pow x 2) (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (* 6 (/ 1 (* (pow x 3) (pow (- 1 (* -4 (sqrt (/ 1 x)))) 4)))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))))) |
(-.f64 (-.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 4 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -6 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) x)) |
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(- (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) |
(+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 (/.f64 #s(literal -6 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) |
(+ (* -1 (/ (- (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(-.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -6 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (- (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4))))) x)) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(-.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal -6 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 4 binary64)))) x)) x)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(- 1 (* -4 (sqrt x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(- (+ 1 x) (* -4 (sqrt x))) |
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(- (+ 1 x) (* -4 (sqrt x))) |
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(- (+ 1 x) (* -4 (sqrt x))) |
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(* x (- 1 (* -4 (sqrt (/ 1 x))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* -4 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal -4 binary64)) |
(+ (* -4 (sqrt x)) (* -1 x)) |
(-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) |
(+ (* -4 (sqrt x)) (* -1 x)) |
(-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) |
(+ (* -4 (sqrt x)) (* -1 x)) |
(-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) |
(* x (- (* -4 (sqrt (/ 1 x))) 1)) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) |
(* x (- (* -4 (sqrt (/ 1 x))) 1)) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) |
(* x (- (* -4 (sqrt (/ 1 x))) 1)) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) |
(* x (- (* -4 (sqrt (/ 1 x))) 1)) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) |
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) |
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) |
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) |
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) |
Compiled 24336 to 2605 computations (89.3% saved)
20 alts after pruning (15 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1028 | 3 | 1031 |
| Fresh | 2 | 12 | 14 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1032 | 20 | 1052 |
| Status | Accuracy | Program |
|---|---|---|
| 50.9% | (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) | |
| ▶ | 99.8% | (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) |
| 53.3% | (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) | |
| ✓ | 48.2% | (/.f64 (*.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))) |
| ✓ | 99.8% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))) |
| ▶ | 48.1% | (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) |
| 50.8% | (/.f64 #s(literal -6 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))) | |
| ✓ | 50.5% | (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| ▶ | 50.6% | (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)) |
| 52.9% | (+.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 24 binary64))) | |
| 7.3% | (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) #s(literal 4 binary64))) | |
| 51.1% | (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -14 binary64)))) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) | |
| ✓ | 99.9% | (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) #s(literal 6 binary64)) |
| ▶ | 53.3% | (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #s(literal 6 binary64)) |
| 7.3% | (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64)) | |
| 53.3% | (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) | |
| 99.6% | (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))) | |
| 4.2% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) | |
| ▶ | 4.5% | (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
| ✓ | 4.3% | (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
Compiled 413 to 331 computations (19.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #s(literal 6 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 6 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) |
| 2560× | fnmadd-define |
| 1630× | sum3-define |
| 1598× | fma-lowering-fma.f32 |
| 1598× | fma-lowering-fma.f64 |
| 1472× | sum5-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 160 |
| 1 | 54 | 149 |
| 2 | 90 | 148 |
| 3 | 157 | 148 |
| 4 | 203 | 148 |
| 5 | 239 | 148 |
| 6 | 261 | 148 |
| 7 | 332 | 148 |
| 8 | 475 | 148 |
| 9 | 771 | 148 |
| 10 | 1354 | 148 |
| 11 | 2628 | 148 |
| 12 | 5031 | 148 |
| 13 | 7634 | 148 |
| 0 | 8086 | 148 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* 6 x) -6) (+ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(+ (* 6 x) -6) |
(* 6 x) |
6 |
x |
-6 |
(+ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) |
1 |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(+ 1 (* 4 (sqrt (/ 1 x)))) |
(* 4 (sqrt (/ 1 x))) |
4 |
(sqrt (/ 1 x)) |
(/ 1 x) |
(* (sqrt x) 3/2) |
(sqrt x) |
x |
3/2 |
(+ (/ -24 (sqrt x)) 6) |
(/ -24 (sqrt x)) |
-24 |
(sqrt x) |
x |
6 |
(/ 6 (+ 1 (* (sqrt (/ 1 x)) 4))) |
6 |
(+ 1 (* (sqrt (/ 1 x)) 4)) |
1 |
(* (sqrt (/ 1 x)) 4) |
(sqrt (/ 1 x)) |
(/ 1 x) |
x |
4 |
(* (/ (+ x -1) (+ 1 (* (sqrt x) 4))) 6) |
(/ (+ x -1) (+ 1 (* (sqrt x) 4))) |
(+ x -1) |
x |
-1 |
(+ 1 (* (sqrt x) 4)) |
1 |
(* (sqrt x) 4) |
(sqrt x) |
4 |
6 |
| Outputs |
|---|
(/ (+ (* 6 x) -6) (+ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) |
(+ (* 6 x) -6) |
(+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
6 |
#s(literal 6 binary64) |
x |
-6 |
#s(literal -6 binary64) |
(+ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
1 |
#s(literal 1 binary64) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+ 1 (* 4 (sqrt (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* 4 (sqrt (/ 1 x))) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
4 |
#s(literal 4 binary64) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* (sqrt x) 3/2) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
x |
3/2 |
#s(literal 3/2 binary64) |
(+ (/ -24 (sqrt x)) 6) |
(+.f64 #s(literal 6 binary64) (/.f64 #s(literal -24 binary64) (sqrt.f64 x))) |
(/ -24 (sqrt x)) |
(/.f64 #s(literal -24 binary64) (sqrt.f64 x)) |
-24 |
#s(literal -24 binary64) |
(sqrt x) |
(sqrt.f64 x) |
x |
6 |
#s(literal 6 binary64) |
(/ 6 (+ 1 (* (sqrt (/ 1 x)) 4))) |
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
6 |
#s(literal 6 binary64) |
(+ 1 (* (sqrt (/ 1 x)) 4)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
1 |
#s(literal 1 binary64) |
(* (sqrt (/ 1 x)) 4) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
x |
4 |
#s(literal 4 binary64) |
(* (/ (+ x -1) (+ 1 (* (sqrt x) 4))) 6) |
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/ (+ x -1) (+ 1 (* (sqrt x) 4))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(+ x -1) |
(+.f64 x #s(literal -1 binary64)) |
x |
-1 |
#s(literal -1 binary64) |
(+ 1 (* (sqrt x) 4)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
1 |
#s(literal 1 binary64) |
(* (sqrt x) 4) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(sqrt x) |
(sqrt.f64 x) |
4 |
#s(literal 4 binary64) |
6 |
#s(literal 6 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #s(literal 6 binary64)) |
| ✓ | accuracy | 99.6% | (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) |
| ✓ | accuracy | 99.7% | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.5% | (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
| ✓ | accuracy | 99.9% | (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) |
| ✓ | accuracy | 99.7% | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.7% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
| 111.0ms | 240× | 0 | valid |
| 6.0ms | 7× | 2 | valid |
| 5.0ms | 9× | 1 | valid |
Compiled 176 to 30 computations (83% saved)
ival-add: 52.0ms (62.6% of total)ival-mult: 15.0ms (18.1% of total)ival-div: 9.0ms (10.8% of total)ival-sqrt: 4.0ms (4.8% of total)backward-pass: 2.0ms (2.4% of total)const: 1.0ms (1.2% of total)| Inputs |
|---|
#<alt (/ (+ (* 6 x) -6) (+ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))))> |
#<alt (+ (* 6 x) -6)> |
#<alt (* 6 x)> |
#<alt (+ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))> |
#<alt (* (sqrt x) 3/2)> |
#<alt (sqrt x)> |
#<alt (+ (/ -24 (sqrt x)) 6)> |
#<alt (/ -24 (sqrt x))> |
#<alt (/ 6 (+ 1 (* (sqrt (/ 1 x)) 4)))> |
#<alt (+ 1 (* (sqrt (/ 1 x)) 4))> |
#<alt (* (sqrt (/ 1 x)) 4)> |
#<alt (sqrt (/ 1 x))> |
#<alt (* (/ (+ x -1) (+ 1 (* (sqrt x) 4))) 6)> |
#<alt (/ (+ x -1) (+ 1 (* (sqrt x) 4)))> |
#<alt (+ x -1)> |
#<alt (+ 1 (* (sqrt x) 4))> |
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (* (sqrt x) 4)> |
| Outputs |
|---|
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))> |
#<alt (- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ 1 (* 4 (sqrt x)))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))> |
#<alt (- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))> |
#<alt (- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))))> |
#<alt (/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) x)) (+ (* 6 (/ 1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4)))) x)) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))))) x)) (+ (* 6 (/ 1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt -6> |
#<alt (- (* 6 x) 6)> |
#<alt (- (* 6 x) 6)> |
#<alt (- (* 6 x) 6)> |
#<alt (* 6 x)> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* x (- 6 (* 6 (/ 1 x))))> |
#<alt (* 6 x)> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (+ 1 (+ x (* 4 (sqrt x))))> |
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))> |
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))> |
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))> |
#<alt (* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (- (* -1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 x))))> |
#<alt (* 3/2 (sqrt x))> |
#<alt (* 3/2 (sqrt x))> |
#<alt (* 3/2 (sqrt x))> |
#<alt (* 3/2 (sqrt x))> |
#<alt (* 3/2 (sqrt x))> |
#<alt (* 3/2 (sqrt x))> |
#<alt (* 3/2 (sqrt x))> |
#<alt (* 3/2 (sqrt x))> |
#<alt (* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (/ (+ (* -24 (sqrt x)) (* 6 x)) x)> |
#<alt (/ (+ (* -24 (sqrt x)) (* 6 x)) x)> |
#<alt (/ (+ (* -24 (sqrt x)) (* 6 x)) x)> |
#<alt (+ 6 (* -24 (sqrt (/ 1 x))))> |
#<alt (+ 6 (* -24 (sqrt (/ 1 x))))> |
#<alt (+ 6 (* -24 (sqrt (/ 1 x))))> |
#<alt (+ 6 (* -24 (sqrt (/ 1 x))))> |
#<alt (+ 6 (* -24 (sqrt (/ 1 x))))> |
#<alt (+ 6 (* -24 (sqrt (/ 1 x))))> |
#<alt (+ 6 (* -24 (sqrt (/ 1 x))))> |
#<alt (+ 6 (* -24 (sqrt (/ 1 x))))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (* -24 (sqrt (/ 1 x)))> |
#<alt (* 3/2 (sqrt x))> |
#<alt (* x (- (* 3/2 (sqrt (/ 1 x))) 3/8))> |
#<alt (* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* 3/32 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))))> |
#<alt (* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* -1 (* x (+ (* -3/32 (sqrt (/ 1 (pow x 3)))) (* 3/128 (/ 1 x))))) (* 3/8 (/ 1 x))))))> |
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* 4 (sqrt (/ 1 x)))> |
#<alt (/ (+ x (* 4 (sqrt x))) x)> |
#<alt (/ (+ x (* 4 (sqrt x))) x)> |
#<alt (/ (+ x (* 4 (sqrt x))) x)> |
#<alt (+ 1 (* 4 (sqrt (/ 1 x))))> |
#<alt (+ 1 (* 4 (sqrt (/ 1 x))))> |
#<alt (+ 1 (* 4 (sqrt (/ 1 x))))> |
#<alt (+ 1 (* 4 (sqrt (/ 1 x))))> |
#<alt (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))> |
#<alt (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))> |
#<alt (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))> |
#<alt (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))> |
#<alt (* 4 (sqrt (/ 1 x)))> |
#<alt (* 4 (sqrt (/ 1 x)))> |
#<alt (* 4 (sqrt (/ 1 x)))> |
#<alt (* 4 (sqrt (/ 1 x)))> |
#<alt (* 4 (sqrt (/ 1 x)))> |
#<alt (* 4 (sqrt (/ 1 x)))> |
#<alt (* 4 (sqrt (/ 1 x)))> |
#<alt (* 4 (sqrt (/ 1 x)))> |
#<alt (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))> |
#<alt (- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))> |
#<alt (* 3/2 (sqrt x))> |
#<alt (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x)))> |
#<alt (+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x))))> |
#<alt (+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (+ (* 3/8 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) (pow x 2))) (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x)))))> |
#<alt (* -3/2 (sqrt x))> |
#<alt (+ (* -3/2 (sqrt x)) (* 6 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) x)))> |
#<alt (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -6 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -3/2 (* (sqrt (/ 1 x)) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x)))> |
#<alt (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -6 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -3/8 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt x) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x))) x)))> |
#<alt (/ -1 (+ 1 (* 4 (sqrt x))))> |
#<alt (- (/ x (+ 1 (* 4 (sqrt x)))) (/ 1 (+ 1 (* 4 (sqrt x)))))> |
#<alt (- (/ x (+ 1 (* 4 (sqrt x)))) (/ 1 (+ 1 (* 4 (sqrt x)))))> |
#<alt (- (/ x (+ 1 (* 4 (sqrt x)))) (/ 1 (+ 1 (* 4 (sqrt x)))))> |
#<alt (* 1/4 (sqrt x))> |
#<alt (- (+ (* -1/4 (sqrt (/ 1 x))) (* 1/4 (sqrt x))) 1/16)> |
#<alt (- (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (* 1/4 (sqrt x)))) 1/16)> |
#<alt (- (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) (pow x 2))) (* 1/4 (sqrt x)))) (+ 1/16 (* 1/4 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x))))))> |
#<alt (* -1/4 (sqrt x))> |
#<alt (- (+ (* -1/4 (sqrt x)) (* 1/4 (sqrt (/ 1 x)))) (/ -1/16 (pow (sqrt -1) 2)))> |
#<alt (+ (* -1 (/ (+ (* -1 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -1/4 (* (sqrt (/ 1 x)) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x)) (* -1/4 (sqrt x)))> |
#<alt (+ (* -1 (/ (+ (* -1 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -1/16 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt x) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x))) x)) (* -1/4 (sqrt x)))> |
#<alt -1> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt x> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt x> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (+ 1 (* 4 (sqrt x)))> |
#<alt (* 4 (sqrt x))> |
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))> |
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))> |
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))> |
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt (* 4 (sqrt x))> |
#<alt (+ x (* 4 (sqrt x)))> |
#<alt (+ x (* 4 (sqrt x)))> |
#<alt (+ x (* 4 (sqrt x)))> |
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))> |
#<alt (* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* 4 (sqrt x))> |
#<alt (* 4 (sqrt x))> |
#<alt (* 4 (sqrt x))> |
#<alt (* 4 (sqrt x))> |
#<alt (* 4 (sqrt x))> |
#<alt (* 4 (sqrt x))> |
#<alt (* 4 (sqrt x))> |
#<alt (* 4 (sqrt x))> |
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 65.0ms | x | @ | 0 | (/ -24 (sqrt x)) |
| 1.0ms | x | @ | -inf | (/ (+ (* 6 x) -6) (+ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))) |
| 1.0ms | x | @ | inf | (/ (+ (* 6 x) -6) (+ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))) |
| 1.0ms | x | @ | -inf | (+ (/ -24 (sqrt x)) 6) |
| 1.0ms | x | @ | 0 | (/ (+ (* 6 x) -6) (+ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))) |
| 1× | batch-egg-rewrite |
| 3900× | /-lowering-/.f32 |
| 3900× | /-lowering-/.f64 |
| 3296× | *-lowering-*.f32 |
| 3296× | *-lowering-*.f64 |
| 2058× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 118 |
| 1 | 180 | 100 |
| 2 | 1345 | 96 |
| 0 | 8460 | 96 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* 6 x) -6) (+ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(+ (* 6 x) -6) |
(* 6 x) |
(+ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) |
(* (sqrt x) 3/2) |
(sqrt x) |
(+ (/ -24 (sqrt x)) 6) |
(/ -24 (sqrt x)) |
(/ 6 (+ 1 (* (sqrt (/ 1 x)) 4))) |
(+ 1 (* (sqrt (/ 1 x)) 4)) |
(* (sqrt (/ 1 x)) 4) |
(sqrt (/ 1 x)) |
(* (/ (+ x -1) (+ 1 (* (sqrt x) 4))) 6) |
(/ (+ x -1) (+ 1 (* (sqrt x) 4))) |
(+ x -1) |
(+ 1 (* (sqrt x) 4)) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* (sqrt x) 4) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (-.f64 #s(literal -1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (/.f64 (/.f64 #s(literal 36 binary64) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (-.f64 #s(literal -1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))) (/.f64 #s(literal 36 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))))) |
(neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (-.f64 #s(literal -1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) |
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64)))) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))) |
(/.f64 (-.f64 #s(literal 6 binary64) (*.f64 #s(literal 6 binary64) x)) (-.f64 #s(literal -1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64))) (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64))) (neg.f64 (*.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))) |
(/.f64 (neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64)))))) |
(/.f64 (neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (-.f64 #s(literal -1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))))) |
(*.f64 (-.f64 #s(literal 6 binary64) (*.f64 #s(literal 6 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) |
(*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64))))))) |
(*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))) |
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))))) |
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))) |
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64)))))) |
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal -1 binary64))))) |
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(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x)) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))) |
(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 x)) |
(*.f64 x (/.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 4 binary64) x)) |
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) |
(*.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(*.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (/.f64 x (sqrt.f64 x)) #s(literal 4 binary64)) |
| 1× | egg-herbie |
| 4936× | *-lowering-*.f32 |
| 4936× | *-lowering-*.f64 |
| 3390× | +-lowering-+.f64 |
| 3390× | +-lowering-+.f32 |
| 1358× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 267 | 2299 |
| 1 | 844 | 1920 |
| 2 | 2736 | 1828 |
| 0 | 8239 | 1828 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ 1 (* 4 (sqrt x)))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) |
(- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))) |
(/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) x)) (+ (* 6 (/ 1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4)))) x)) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))))) x)) (+ (* 6 (/ 1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
-6 |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(- (* 6 x) 6) |
(* 6 x) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* x (- 6 (* 6 (/ 1 x)))) |
(* 6 x) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* -1 (* x (- (* 6 (/ 1 x)) 6))) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(+ 1 (+ x (* 4 (sqrt x)))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))) |
(* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (- (* -1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 x)))) |
(* -1 (* x (- (* -1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 x)))) |
(* -1 (* x (- (* -1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 x)))) |
(* 3/2 (sqrt x)) |
(* 3/2 (sqrt x)) |
(* 3/2 (sqrt x)) |
(* 3/2 (sqrt x)) |
(* 3/2 (sqrt x)) |
(* 3/2 (sqrt x)) |
(* 3/2 (sqrt x)) |
(* 3/2 (sqrt x)) |
(* -3/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -24 (sqrt (/ 1 x))) |
(/ (+ (* -24 (sqrt x)) (* 6 x)) x) |
(/ (+ (* -24 (sqrt x)) (* 6 x)) x) |
(/ (+ (* -24 (sqrt x)) (* 6 x)) x) |
(+ 6 (* -24 (sqrt (/ 1 x)))) |
(+ 6 (* -24 (sqrt (/ 1 x)))) |
(+ 6 (* -24 (sqrt (/ 1 x)))) |
(+ 6 (* -24 (sqrt (/ 1 x)))) |
(+ 6 (* -24 (sqrt (/ 1 x)))) |
(+ 6 (* -24 (sqrt (/ 1 x)))) |
(+ 6 (* -24 (sqrt (/ 1 x)))) |
(+ 6 (* -24 (sqrt (/ 1 x)))) |
(* -24 (sqrt (/ 1 x))) |
(* -24 (sqrt (/ 1 x))) |
(* -24 (sqrt (/ 1 x))) |
(* -24 (sqrt (/ 1 x))) |
(* -24 (sqrt (/ 1 x))) |
(* -24 (sqrt (/ 1 x))) |
(* -24 (sqrt (/ 1 x))) |
(* -24 (sqrt (/ 1 x))) |
(* -24 (sqrt (/ 1 x))) |
(* -24 (sqrt (/ 1 x))) |
(* -24 (sqrt (/ 1 x))) |
(* -24 (sqrt (/ 1 x))) |
(* 3/2 (sqrt x)) |
(* x (- (* 3/2 (sqrt (/ 1 x))) 3/8)) |
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* 3/32 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))))) |
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* -1 (* x (+ (* -3/32 (sqrt (/ 1 (pow x 3)))) (* 3/128 (/ 1 x))))) (* 3/8 (/ 1 x)))))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* 4 (sqrt (/ 1 x))) |
(/ (+ x (* 4 (sqrt x))) x) |
(/ (+ x (* 4 (sqrt x))) x) |
(/ (+ x (* 4 (sqrt x))) x) |
(+ 1 (* 4 (sqrt (/ 1 x)))) |
(+ 1 (* 4 (sqrt (/ 1 x)))) |
(+ 1 (* 4 (sqrt (/ 1 x)))) |
(+ 1 (* 4 (sqrt (/ 1 x)))) |
(+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* 4 (sqrt (/ 1 x))) |
(* 4 (sqrt (/ 1 x))) |
(* 4 (sqrt (/ 1 x))) |
(* 4 (sqrt (/ 1 x))) |
(* 4 (sqrt (/ 1 x))) |
(* 4 (sqrt (/ 1 x))) |
(* 4 (sqrt (/ 1 x))) |
(* 4 (sqrt (/ 1 x))) |
(* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(* 3/2 (sqrt x)) |
(+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x))) |
(+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x)))) |
(+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (+ (* 3/8 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) (pow x 2))) (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x))))) |
(* -3/2 (sqrt x)) |
(+ (* -3/2 (sqrt x)) (* 6 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) x))) |
(+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -6 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -3/2 (* (sqrt (/ 1 x)) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x))) |
(+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -6 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -3/8 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt x) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x))) x))) |
(/ -1 (+ 1 (* 4 (sqrt x)))) |
(- (/ x (+ 1 (* 4 (sqrt x)))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
(- (/ x (+ 1 (* 4 (sqrt x)))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
(- (/ x (+ 1 (* 4 (sqrt x)))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
(* 1/4 (sqrt x)) |
(- (+ (* -1/4 (sqrt (/ 1 x))) (* 1/4 (sqrt x))) 1/16) |
(- (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (* 1/4 (sqrt x)))) 1/16) |
(- (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) (pow x 2))) (* 1/4 (sqrt x)))) (+ 1/16 (* 1/4 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))))) |
(* -1/4 (sqrt x)) |
(- (+ (* -1/4 (sqrt x)) (* 1/4 (sqrt (/ 1 x)))) (/ -1/16 (pow (sqrt -1) 2))) |
(+ (* -1 (/ (+ (* -1 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -1/4 (* (sqrt (/ 1 x)) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x)) (* -1/4 (sqrt x))) |
(+ (* -1 (/ (+ (* -1 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -1/16 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt x) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x))) x)) (* -1/4 (sqrt x))) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (* 4 (sqrt x))) |
(+ 1 (* 4 (sqrt x))) |
(* 4 (sqrt x)) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(* 4 (sqrt x)) |
(+ x (* 4 (sqrt x))) |
(+ x (* 4 (sqrt x))) |
(+ x (* 4 (sqrt x))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* 4 (sqrt x)) |
(* 4 (sqrt x)) |
(* 4 (sqrt x)) |
(* 4 (sqrt x)) |
(* 4 (sqrt x)) |
(* 4 (sqrt x)) |
(* 4 (sqrt x)) |
(* 4 (sqrt x)) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(+.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 x #s(literal -1 binary64)))) |
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(+.f64 (+.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))))) |
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ 1 (* 4 (sqrt x)))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))))))) (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 x #s(literal -1 binary64)))) |
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x))))) |
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) |
(-.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) x)) |
(- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) |
(+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))) (/.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) |
(- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))) |
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(*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 4 (sqrt (/ 1 x))) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 4 (sqrt (/ 1 x))) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 4 (sqrt (/ 1 x))) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 4 (sqrt (/ 1 x))) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 4 (sqrt (/ 1 x))) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 4 (sqrt (/ 1 x))) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)) |
(* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)) |
(* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)) |
(* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ -6 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 x #s(literal -1 binary64))) |
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 x #s(literal -1 binary64))) |
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))) |
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 x #s(literal -1 binary64))) |
(* 3/2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x))) |
(+.f64 (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (*.f64 #s(literal 6 binary64) (+.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal -1/4 binary64) x)) #s(literal -1/16 binary64)))) |
(+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x)))) |
(+.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (*.f64 #s(literal 6 binary64) (+.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal -1/4 binary64) x)) #s(literal -1/16 binary64)))) (*.f64 #s(literal -3/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -1/4 binary64)) (*.f64 x #s(literal -1/16 binary64)))))) |
(+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (+ (* 3/8 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) (pow x 2))) (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x))))) |
(+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -1/4 binary64)) (*.f64 x #s(literal -1/16 binary64))))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (*.f64 (+.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal -1/4 binary64) x)) #s(literal -1/16 binary64)) (+.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 6 binary64))))) |
(* -3/2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
(+ (* -3/2 (sqrt x)) (* 6 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) x))) |
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (*.f64 #s(literal 6 binary64) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 x) x)) #s(literal -1/16 binary64)))) |
(+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -6 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -3/2 (* (sqrt (/ 1 x)) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x))) |
(-.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 x) x)) #s(literal -1/16 binary64)) (/.f64 (+.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))) #s(literal 1 binary64)))) |
(+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -6 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -3/8 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt x) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x))) x))) |
(-.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (/.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (*.f64 #s(literal -6 binary64) (*.f64 x #s(literal -1/16 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 3/8 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -1/4 binary64)) (*.f64 x #s(literal 1/16 binary64)))) (*.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal -1/4 binary64)) (*.f64 x #s(literal 1/16 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))) x)) x)) |
(/ -1 (+ 1 (* 4 (sqrt x)))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(- (/ x (+ 1 (* 4 (sqrt x)))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
(-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
(- (/ x (+ 1 (* 4 (sqrt x)))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
(-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
(- (/ x (+ 1 (* 4 (sqrt x)))) (/ 1 (+ 1 (* 4 (sqrt x))))) |
(-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
(* 1/4 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) |
(- (+ (* -1/4 (sqrt (/ 1 x))) (* 1/4 (sqrt x))) 1/16) |
(+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/4 binary64)) #s(literal -1/16 binary64))) |
(- (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (* 1/4 (sqrt x)))) 1/16) |
(+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -1/4 binary64)) (*.f64 x #s(literal -1/16 binary64)))))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) #s(literal -1/16 binary64))) |
(- (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) (pow x 2))) (* 1/4 (sqrt x)))) (+ 1/16 (* 1/4 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))))) |
(+.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal -1/4 binary64) x)) #s(literal -1/16 binary64)) (/.f64 #s(literal 1/16 binary64) x)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -1/4 binary64)) (*.f64 x #s(literal -1/16 binary64)))))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) #s(literal -1/16 binary64)))) |
(* -1/4 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal -1/4 binary64)) |
(- (+ (* -1/4 (sqrt x)) (* 1/4 (sqrt (/ 1 x)))) (/ -1/16 (pow (sqrt -1) 2))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -1/4 binary64)) #s(literal -1/16 binary64))) |
(+ (* -1 (/ (+ (* -1 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -1/4 (* (sqrt (/ 1 x)) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x)) (* -1/4 (sqrt x))) |
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -1/4 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 x) x)) #s(literal -1/16 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/4 binary64))) #s(literal -1 binary64)))) |
(+ (* -1 (/ (+ (* -1 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -1/16 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt x) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x))) x)) (* -1/4 (sqrt x))) |
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -1/4 binary64)) (/.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/16 binary64))) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -1/4 binary64)) (*.f64 x #s(literal 1/16 binary64)))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/16 binary64))))) x)) x)) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
x |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
(+ 1 (* 4 (sqrt x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(+ 1 (* 4 (sqrt x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(+ 1 (* 4 (sqrt x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(+ 1 (* 4 (sqrt x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(* 4 (sqrt x)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x))) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x))) |
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x))) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x))) |
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x))) |
(* 4 (sqrt x)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(+ x (* 4 (sqrt x))) |
(+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(+ x (* 4 (sqrt x))) |
(+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(+ x (* 4 (sqrt x))) |
(+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* x (+ 1 (* 4 (sqrt (/ 1 x))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) |
(* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) |
(* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) |
(* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) |
(* 4 (sqrt x)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(* 4 (sqrt x)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(* 4 (sqrt x)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(* 4 (sqrt x)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(* 4 (sqrt x)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(* 4 (sqrt x)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(* 4 (sqrt x)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(* 4 (sqrt x)) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
(* -4 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 4 binary64) (sqrt.f64 x)) |
Compiled 15779 to 2163 computations (86.3% saved)
24 alts after pruning (16 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 848 | 7 | 855 |
| Fresh | 1 | 9 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 851 | 24 | 875 |
| Status | Accuracy | Program |
|---|---|---|
| 50.9% | (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) | |
| 99.8% | (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x))) x))) | |
| 53.3% | (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) | |
| ✓ | 48.2% | (/.f64 (*.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))) |
| ✓ | 99.8% | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))) |
| 48.1% | (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) x)) | |
| 53.3% | (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64)))) | |
| 48.1% | (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) | |
| 50.8% | (/.f64 #s(literal -6 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))) | |
| ✓ | 50.5% | (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| ✓ | 50.6% | (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)) |
| 52.9% | (+.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 24 binary64))) | |
| 7.3% | (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) #s(literal 4 binary64))) | |
| 51.1% | (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -14 binary64)))) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) | |
| ✓ | 99.9% | (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) #s(literal 6 binary64)) |
| ✓ | 53.3% | (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #s(literal 6 binary64)) |
| 7.3% | (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64)) | |
| 53.3% | (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 x #s(literal -1 binary64))) | |
| 48.1% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) | |
| 99.6% | (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))) | |
| 4.5% | (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) #s(literal 3/2 binary64)) | |
| 4.2% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) | |
| ✓ | 4.5% | (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
| ✓ | 4.3% | (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
Compiled 801 to 357 computations (55.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) |
(+.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 24 binary64))) |
(+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) #s(literal 3/2 binary64)) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64)) |
(+.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64))) |
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) |
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) |
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 #s(literal -6 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))) |
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) |
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) x)) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) #s(literal 4 binary64))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) |
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #s(literal 6 binary64)) |
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))) |
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) #s(literal 6 binary64)) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))) |
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))) |
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x))) x))) |
(/.f64 (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -14 binary64)))) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal -16 binary64) x))) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) |
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) #s(literal 6 binary64)) |
2 calls:
| 11.0ms | x |
| 9.0ms | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) |
(+.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 24 binary64))) |
(+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) #s(literal 3/2 binary64)) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64)) |
(+.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64))) |
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) |
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) |
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 #s(literal -6 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))) |
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) |
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) x)) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) #s(literal 4 binary64))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) |
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #s(literal 6 binary64)) |
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 (*.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))) |
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)) |
| Outputs |
|---|
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) |
(+.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 24 binary64))) |
(+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) #s(literal 3/2 binary64)) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64)) |
(+.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64))) |
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) |
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) |
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 #s(literal -6 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))) |
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) |
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) x)) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) #s(literal 4 binary64))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) |
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #s(literal 6 binary64)) |
| Outputs |
|---|
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) |
(+.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 24 binary64))) |
(+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) #s(literal 3/2 binary64)) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64)) |
(+.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64))) |
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) |
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) |
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 #s(literal -6 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))) |
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) |
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) x)) |
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) #s(literal 4 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal -6 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) |
(+.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 24 binary64))) |
(+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) #s(literal 3/2 binary64)) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64)) |
(+.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64))) |
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) |
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) |
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| Outputs |
|---|
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) |
(+.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 24 binary64))) |
(+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) #s(literal 3/2 binary64)) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64)) |
(+.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64))) |
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) |
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) |
| Outputs |
|---|
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) |
(+.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 24 binary64))) |
(+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) #s(literal 3/2 binary64)) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64)) |
(+.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64))) |
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) x) |
| Outputs |
|---|
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) |
(+.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 24 binary64))) |
(+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) #s(literal 3/2 binary64)) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64)) |
(+.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64))) |
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
| Outputs |
|---|
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) |
(+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.5% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) |
(+.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 24 binary64))) |
(+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) #s(literal 3/2 binary64)) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64)) |
(+.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -24 binary64))) |
| Outputs |
|---|
(+.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 24 binary64))) |
(+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64)) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) |
(+.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 24 binary64))) |
| Outputs |
|---|
(+.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 24 binary64))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.9% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 7.3% | 2 | x |
Compiled 2 to 1 computations (50% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.3% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 1.6317979468243633 | 12.690173147190725 |
| 7.0ms | 96× | 0 | valid |
Compiled 175 to 146 computations (16.6% saved)
ival-sub: 1.0ms (21.7% of total)ival-div: 1.0ms (21.7% of total)ival-add: 1.0ms (21.7% of total)ival-mult: 1.0ms (21.7% of total)ival-sqrt: 1.0ms (21.7% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 1.6317979468243633 | 12.690173147190725 |
| 7.0ms | 96× | 0 | valid |
Compiled 175 to 146 computations (16.6% saved)
ival-sub: 1.0ms (22.5% of total)ival-div: 1.0ms (22.5% of total)ival-add: 1.0ms (22.5% of total)ival-mult: 1.0ms (22.5% of total)ival-sqrt: 1.0ms (22.5% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 0.9314268020351307 | 1.6317979468243633 |
| 5.0ms | 64× | 0 | valid |
Compiled 115 to 94 computations (18.3% saved)
ival-add: 1.0ms (25.7% of total)ival-mult: 1.0ms (25.7% of total)ival-sqrt: 1.0ms (25.7% of total)ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 0.9314268020351307 | 1.6317979468243633 |
| 5.0ms | 64× | 0 | valid |
Compiled 115 to 94 computations (18.3% saved)
ival-add: 1.0ms (33.5% of total)ival-mult: 1.0ms (33.5% of total)ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)const: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 0.9314268020351307 | 1.6317979468243633 |
| 5.0ms | 64× | 0 | valid |
Compiled 107 to 90 computations (15.9% saved)
ival-sub: 1.0ms (26.2% of total)ival-add: 1.0ms (26.2% of total)ival-mult: 1.0ms (26.2% of total)ival-sqrt: 1.0ms (26.2% of total)ival-div: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 0.9314268020351307 | 1.6317979468243633 |
| 5.0ms | 64× | 0 | valid |
Compiled 99 to 86 computations (13.1% saved)
ival-add: 1.0ms (33.6% of total)ival-mult: 1.0ms (33.6% of total)ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)const: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 12.690173147190725 | 4492.264563729675 |
| 12.0ms | 128× | 0 | valid |
Compiled 163 to 142 computations (12.9% saved)
ival-mult: 4.0ms (46.2% of total)ival-sub: 1.0ms (11.5% of total)ival-div: 1.0ms (11.5% of total)ival-add: 1.0ms (11.5% of total)ival-sqrt: 1.0ms (11.5% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 12.690173147190725 | 4492.264563729675 |
| 10.0ms | 128× | 0 | valid |
Compiled 147 to 126 computations (14.3% saved)
ival-div: 2.0ms (28.9% of total)ival-mult: 2.0ms (28.9% of total)ival-sub: 1.0ms (14.5% of total)ival-add: 1.0ms (14.5% of total)ival-sqrt: 1.0ms (14.5% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 0.9314268020351307 | 1.6317979468243633 |
| 6.0ms | 64× | 0 | valid |
Compiled 67 to 54 computations (19.4% saved)
ival-add: 1.0ms (31.7% of total)ival-mult: 1.0ms (31.7% of total)ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)const: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 68× | unsub-neg_binary64 |
| 40× | neg-mul-1_binary64 |
| 36× | +-commutative_binary64 |
| 28× | *-commutative_binary64 |
| 20× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 212 |
| 1 | 84 | 212 |
| 2 | 93 | 212 |
| 3 | 112 | 212 |
| 4 | 140 | 212 |
| 5 | 160 | 212 |
| 6 | 172 | 212 |
| 7 | 199 | 212 |
| 8 | 228 | 212 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) #s(literal 6 binary64)) |
(if (<=.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))) |
(if (<=.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))) |
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))) |
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))) |
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))) |
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal 3996944669291315/281474976710656 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))) |
(if (<=.f64 x #s(literal 33/2 binary64)) (+.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 24 binary64))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))) |
(+.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 24 binary64))) |
(if (<=.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) #s(literal 6 binary64)) |
(if (<=.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))) |
(if (<=.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (+.f64 x #s(literal -1 binary64)))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) |
(if (<=.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))) |
(if (<=.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) |
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))) |
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) |
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))) |
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) |
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))) |
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) |
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x))))) |
(if (<=.f64 x #s(literal 3996944669291315/281474976710656 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))) |
(if (<=.f64 x #s(literal 3996944669291315/281474976710656 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -24 binary64) (sqrt.f64 x)))) |
(if (<=.f64 x #s(literal 33/2 binary64)) (+.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 24 binary64))) (+.f64 (/.f64 #s(literal -24 binary64) (sqrt.f64 x)) #s(literal 6 binary64))) |
(if (<=.f64 x #s(literal 33/2 binary64)) (+.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 24 binary64))) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -24 binary64) (sqrt.f64 x)))) |
(+.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 24 binary64))) |
(if (<=.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) |
| 3988× | /-lowering-/.f32 |
| 3988× | /-lowering-/.f64 |
| 3980× | *-lowering-*.f32 |
| 3980× | *-lowering-*.f64 |
| 3900× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 454 | 3092 |
| 1 | 1491 | 2494 |
| 2 | 5162 | 2417 |
| 0 | 8230 | 2417 |
| 0 | 19 | 58 |
| 1 | 123 | 54 |
| 2 | 1139 | 54 |
| 0 | 8866 | 54 |
| 0 | 34 | 145 |
| 1 | 234 | 129 |
| 2 | 2368 | 125 |
| 0 | 9575 | 125 |
| 0 | 28 | 109 |
| 1 | 174 | 99 |
| 2 | 1509 | 97 |
| 0 | 8833 | 97 |
| 0 | 29 | 118 |
| 1 | 180 | 100 |
| 2 | 1345 | 96 |
| 0 | 8460 | 96 |
| 0 | 243 | 1627 |
| 1 | 843 | 1418 |
| 2 | 2573 | 1368 |
| 3 | 7689 | 1368 |
| 0 | 8376 | 1368 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 642 to 400 computations (37.7% saved)
Compiled 486 to 156 computations (67.9% saved)
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